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Class-XI
English Class-XI
Chapter 1: Grammar (222 videos) (Practice Test)
1.1: Parts of Speech (Introduction) (Practice Test)
- Parts of Speech (introduction)
- Nouns (explanation with examples)
- Pronouns (explanation with examples)
- Adjectives (explanation with examples)
- Verbs (explanation with examples)
- Adverbs (explanation with examples)
- Conjunctions (explanation with examples)
- Prepositions (explanation with examples)
- Interjections (explanation with examples)
- Proper Nouns (explanation with examples)
- Common Nouns (explanation with examples)
- Concrete Nouns (explanation with examples)
- Abstract Nouns (explanation with examples)
- Exercise-Abstract Nouns-1
- Exercise-Abstract Nouns-2
- Singular and Plural Nouns (explanation with examples)
- Countable and Uncountable Nouns (explanation with examples)
- Collective Nouns (explanation with examples)
- Exercise-Collective Nouns
- Compound Nouns (explanation with examples)
- Exercise-Nouns-Mixed
- Abstract Noun (explanation/identify/underline)
- Abstract Noun (change form/make sentences)
- Collective Nouns (explanation/identify/make sentences)
- Personal Pronouns (explanation with examples)
- Possessive Pronouns (explanation with examples)
- Relative Pronouns & antecedent(explanation with examples)
- More on Relative Pronouns
- Exercise-Relative Pronouns
- Kinds of Pronouns Mixed Part-1
- Kinds of Pronouns Mixed Part-2
- Exercise-Kinds of Pronouns Mixed
- Exercise-Pronoun Antecedent
- Kinds of Pronouns (personal/possessive)(explanation)
- Kinds of Pronouns (reflexive/indefinite)(explanation)
- Kinds of Pronouns (identify various pronouns in sentences)
- Relative Pronouns (explanation/fill in blanks/make sentences)
1.4: Types of Prepositions (Practice Test)
- Prepositions (explanation with examples & exercise)
- Compound Prepositions (explanation with examples)
- Exercise-Compound Prepositions
- Prepositions (explanation with examples)
- Compound Prepositions (explanation/fill in blanks)
- Conjunctions(3 types)(explanation with examples)
- Definite and Indefinite Articles (explanation with examples)
- Exercise-Articles
- Articles (explanation/identify/insert articles)
- Ellipses (use of three dots) (explanation with examples)
- Ellipses (explanation/make sentences)
1.8: Kinds of Adjectives (Practice Test)
- Kinds of Adjectives (explanation with examples)
- Exercise-Kinds of Adjectives
- Order of Adjectives (explanation with examples)
- Exercise-Order of Adjectives
- Degrees of Comparison (explanation with examples)
- Exercise-Degrees of comparison
- Degrees of Comparison (explanation/complete the table/make sentences)
- Kinds of Adjectives (explanation)
- Kinds of Adjectives (change form/make sentences)
- Order of Adjectives (explanation/choose the correct phrase)
- Order of Adjectives (explanation/make sentences)
- Adjective Phrases(explanation/replace phrase by adjective/make senten
- Adverb Phrases(explanation/replace phrase by adjective/make sentences)
- Adjective Clauses (explanation/identify/fill blanks)
- More on Adjective Clauses
1.9: Kinds and Positions of Adverbs in a Senetence (Practice Test)
- Modal Verbs (explanation with examples)
- More on Modal Verbs
- Exercise-Modal Verbs
- Kinds of Adverbs (explanation with examples)
- More on Kinds of Adverbs
- Position of Adverbs in a sentence (explanation with examples)
- Position of a Single Adverb in a Sentence
- Degrees of Adverbs (explanation with examples)
- Modal Verbs (explanation/use of modal verbs to describe various situa
- Adverbs (explanation with examples)
- Kinds of Adverbs/Position of Adverbs (explanation/place adverbs in co
- Adverbial Clauses Types (explanation with examples)
- More on Adverbial Clauses
1.10: Types of Sentences (Practice Test)
- Sentence and Order of its Parts
- Statements (explanation with examples)
- Imperative Sentences (explanation with examples)
- Excalamatory Sentences (explanation with examples)
- Interrogative Sentences (explanation with examples)
- Optative Sentences (explanation with examples)
- Exercise-Types of Sentences
- Simple Sentences (explanation with examples)
- Compound Sentences (explanation with examples)
- Complex Sentences (explanation with examples)
- Compound-Complex Sentences (explanation with examples)
- Exercise-Sentences Mixed
- Types of Sentences-Exclamatory/Assertive etc (explanation)
- Simple, Complex and Compound Sentences(identify/write)
1.11: Phrases and Clauses (Practice Test)
- Phrase (explanation with examples)
- Noun, Verb, Prepositional Phrases (explanation with examples)
- Adjective Phrase (explanation with examples)
- Exercise-Adjective Phrase
- Adverb Phrase (explanation with examples)
- Exercie-Adverb Phrase
- Independent/Dependent Clauses (explanation with examples)
- Exercise-Independent & Dependent Clause
- Exercise-Comma Clause
- Noun Clause (explanation with examples)
- Adjective Clause (explanation with examples)
- Exercise-Adjective Clause-1
- Exercise-Adjective Clause-2
- Adverb Clause (explanation with examples)
- Exercise-Adverb Clause-1
- Exercise-Adverb Clause-2
- Use of Comma with Clauses (explanation with examples)
- Independent/Dependent Clauses (explanation/identify/fill table)
- Use of Comma to Separate Clauses(explanation/correct sentences)
1.12: Kinds of Verbs and their Forms (Practice Test)
- Transitive Verb (explantion with examples)
- Intransitive Verb (explantion with examples)
- Auxilliary Verb (explantion with examples)
- Linking Verbs (explantion with examples)
- Finite Verbs (explanation with examples)
- Non-Finite Verbs (explanation with examples)
- Present and Past participle (explanation with examples)
- Exercise-Present & Past Participles
- Gerund (explanation with examples)
- Gerunds(explanation/complete phrases/make sentences)
- Infinitive (explanation with examples)
- Use of Infinitives(explanation/make sentences)
- More on Use of Infinitives
- Forms of Verbs for Regular Verbs (explanation with examples)
- Forms of Verbs for Irregular Verbs (explanation with examples)
1.13: Tense, Aspect and Mood (Practice Test)
- Relation of Tense, Aspect and Mood with Verb (explanation )
- Verb Tense (types of tenses) (explanation with examples)
- Verb Aspect Versus Verb Tense (explanation with examples)
- Verbal Aspect-Simple/Indefinite (explanation with examples)
- Verbal Aspect-Continuous/Progressive (explanation with examples)
- Verbal Aspect-Perfect (explanation with examples)
- Verbal Aspect-Perfect Continuous (explanation with examples)
- Verbal Mood (3 types) (explanation with examples)
- Present Simple Tense(Uses&Formation)
- Present Simple Tense(Table) (explanation with examples)
- Present Continuous Tense (Uses&Formation)
- Present Continuous Tense (Table) (explanation with examples)
- Present Perfect Tense (Uses&Formation)
- Present Perfect Tense(Table) (explanation with examples)
- Present Perfect Continuous Tense (Uses&Formation)
- Present Perfect Continuous Tense (Table) (explanation & examples)
- Past Simple Tense(Uses&Formation)
- Past Simple Tense (Table)(explanation with examples)
- Past Continuous Tense(Uses&Formation)
- Past Continuous Tense (Table)(explanation with examples)
- Past perfect Tense (Uses&Formation)
- Past perfect Tense (Table)(explanation with examples)
- Past Perfect Continuous Tense (Uses&Formation)
- Past Perfect Continuous Tense (Table)(explanation & examples)
- Future Simple Tense (Uses&Formation)(explanation with examples)
- Future Simple Tense (Table) (explanation with examples)
- Future Continuous Tense(Uses&Formation) (explanation with examples)
- Future Continuous Tense (Table) (explanation with examples)
- Future Perfect Tense(Uses&Formation) (explanation with examples)
- Future Perfect Tense (Table)(explanation with examples)
- Future Perfect Continuous Tense (Uses&Formation)(explanation & exampl
- Future Perfect Continuous Tense (Table)(explanation with examples)
- Tenses/Aspect Table (all tenses in one table)
- More on Tenses/Aspect Table
- Exercise-Tenses-Mixed
1.17: Conditionals Type- I, II and III (Practice Test)
- Conditionals-Type 1 (explanation with examples)
- Conditionals-Senetences Table (explanation with examples)
- More on Conditionals-Senetences Table(Type Zero, 1,2,3,Mixed)
- Exercise-Conditionals
- Conditionals-Type 1,2&3 (explanation with examples/fill blanks)
1.18: Active and Passive Voice (Practice Test)
- Active and Passive Voice (explanation with examples)
- Active and Passive Voice Table Part 1 (explanation & examples)
- Active and Passive Voice Table Part 2 (explanation & examples)
- Active and Passive Voice Table Part 3 (explanation & examples)
- Active and Passive Voice Table Part 4 (explanation & examples)
- Exercise-Active & Passive Voice
1.19: Subject-Verb Agreement (Practice Test)
- Subject-Verb Agreement Part 1 (explanation with examples)
- Subject-Verb Agreement Part 2 (explanation with examples)
- Subject-Verb Agreement Part 3 (explanation with examples)
- Subject-Verb Agreement Part 4 (explanation with examples)
- Subject-Verb Agreement Part 5 (explanation with examples)
- Exercise-Subject Verb Agreement
- Subject-Verb Agreement (identyify/fill in blanks)
- More on Subject-Verb Agreement (1)
- More on Subject-Verb Agreement (2)
1.20: Transitional Devices (Practice Test)
- Transitional Devices (explanation with examples)
- More on Transitional Devices
- Exercise Transitional Devices
- Transitional Devices (explanation/fill blanks)
1.21: Direct/Indirect Narration (Practice Test)
- Direct/Indirect Narration (explanation/change form)
- Direct/Indirect Narration Tense-1 (explanation/change form)
- Direct/Indirect Narration Tense-2
- Direct/Indirect Narration Tense-3
- Ways to End a Sentence (full stop, comma, exclamation)
- Commas with Simple Series, Oxford comma and Adjectives (Rule 1 and 2)
- Commas with Clauses (Rule 3)
- Commas with Clauses and Introductory Phrases (Rule 4 to 5)
- Commas with Introductory Phrases and Nonessential Parts of a Sentence
- Appositive Commas (Rule 9)
- Commas with Phrases, Dates and Addresses (Rule 10 to 13)
- Commas with Degrees, Titles and Direct Speech (Rule 14 to 16)
- Commas with Direct Speech, Contrasting Parts and Introductory Items (
- Punctuating Salutations and Valedictions
- Punctuating Dates
- Punctuating Addresses
- Apostrophes with Singular Nouns (Rule 1 to 2)
- Identify Apostrophes with Plural Nouns (regular nouns) (Rule 3 to 4)
- Identify Apostrophes with Plural Nouns (irregular Nouns) (Rule 4- 5)
- Identify Plural Possession (Rule 6 to7)
- Apostrophes with Singular and Plural Compound Possessives (Rule 8 to
- Apostrophes with Possesive Adjectives (Rule 12)
- Apostrophes with Contractions(Rule 13)
- Apostrophes with Single or More capital Letters, Time and Money (Rule
- Apostrophes versus Single quotation Mark and False Possessives (Rule
- Colons with Series of Items (Rule 1-3)
- Colons with Vertical Lists and Series of Items (Rule 4-5)
- Colons with Direct Speech (Rule 6-8)
- Semicolons with Clauses (Rule 1 and 2)
- Semicolons with Conjunctions and Series of Items (Rule 3 to 6)
- Italics, Underlining and Quotes in Titles
- Use of Parenthesis
- Use of Parenthesis and Brackets
- Use of Dashes
- Use of Hyphens Part-1
- Use of Hyphens Part-2
- Use of Hyphens Part-3
- Punctuating a Passage Part-1
- Punctuating a Passage Part-2
Chapter 2: Writing Skills (73 videos)
2.1: Summary Writing
- Summary Writing Intro and Steps (explanation with examples)
- Exercise-Summary Skills-1
- Exercise-Summary Skills-2
- Exercise-Summary Skills-3
- Summary (explanation with practice using short poems)
- Summary Steps with Flow Chart (explanation)
- Summary of a Poem(Daffodils) (reading/outlining/checking/writing)
- Summary of a Short Passage (reading/outlining/checking/writing)
- Summary of a Long Passage (reading/outlining/checking/writing)
- More on Summary of a Long Passage
2.2: Paraphrasing
- Paraphrasing Intro-Sample (writing a paraphrase of a story)
- More on paraphrasing Intro-Sample
- Paraphrasing the Stanzas of a Poem (editing/writing)
- Paraphrasing (explanation with examples)
- More on Paraphrasing
2.3: Paragaraph Writing
- Paragaraph Writing Intro-Outline (explanation with examples)
- Paragraph Writing Sample(writing of a paragraph)
- Paragaraph Writing Skills (explanation/demonstration)
- More on Paragraph Writing (1)
- More on Paragraph Writing (2)
2.4: Essay Writing
- Essay Writing -Intro with Essay Types (explanation with examples)
- Exercise-Essay Writing
- Steps for writing an Essay (explanation with examples)
- More on Steps for writing an Essay
- Essay Writing (Steps to Follow/types of essays)(explanation)
- More on Essay Writing Steps to Follow
- An Essay on Quaid-e-Azam our National Hero (mind map/outline/writing)
- Important Essay Topics( guessing the type of essay)
- Formal/Informal-Non-fictional/Fictional Essay (explanation)
2.5: Mind Mapping
- Mind Map (developing of a mind map)
- How to Develop a Mind Map (filling a mind map/explanation)
2.6: Argumentative Essay
- Argumentative Essay Sample-Part-1 (writing of essay)
- Argumentative Essay Sample-Part-2 (writing of essay)
- Argumentative Essay Sample-Part-3(writing of essay)
- Persuasive/Argumentative Essay Comparison(explanation with table)
- A Sample Persuasive Essay (explanation)
- A Sample Argumentative Essay (explanation)
2.7: Narrative Essay
- Narrative Essay Sample-Part-1 (writing of essay)
- Narrative Essay Sample-Part-2 (writing of essay)
- Narrative Essay Sample-Part-3 (writing of essay)
- Narrative Essay Sample-Part-4 (writing of essay)
- A Sample Personal Narrative Essay (explanation/mind map/outline)
2.8: Character Sketch
- Character Sketch(explanation/steps to follow)
2.9: Descriptive Essay
- Descriptive Essay Sample (writing of essay)
- Character Sketch(explanation/steps to follow)
- More on Character Sketch
- Descriptive/Narrative Essay Comparison & Expository/Descriptive Mindm
2.10: Cause and Effect Essay
- Cause and Effect Essay Sample (writing of essay)
- More on Cause and Effect Essay Sample (writing of essay)
- A Sample Cause and Effect Essay (mind map/outline/writing)
- More on A Cause and Effect Essay
2.11: Comparison and Contrast Essay
- Comparison and Contrast Essay Sample(writing of essay)
- More on Comparison and Contrast Essay Sample (writing of essay)
- A Sample Comparison and Contrast Essay (outline/explanation)
- More on A Comparison and Contrast Essay
2.12: Letter Format & Types
- Letter Types and Format(explanation with examples)
- Letter Writing Format (discussion with sample)
- Letter writing Steps (discussion)
- Formal/Informal Letter Comparison & Parts in Detail (discussion)
2.13: Formal Letter (Application)
- Formal Letter Sample (reading and discussion of sample)
- A Sample Formal Letter/Application (outline/explanation)
- More on A Formal Letter
2.14: Informal Letter
- Informal Letter Sample (reading and discussion of sample)
2.15: Email
- Email Sample (reading and discussion of sample)
2.16: Book Review
- Book Review Intro and Tips (explanation with examples)
- Book Review Sample (discussion of sample)
- Book Reviews on Hellen Keller’s 2 Books (explanation)
- Book Review (Importance and tips to write book reviews-Explanation)
2.17: Dialogue Writing
- Dialogue Writing Part 1
- Dialogue Writing Part 2
- Dialogue Writing Part 3
- Dialogue Writing Part 4
- Dialogue Writing Part 5
Chapter 3: Vocabulary (56 videos)
3.1: Vocabulary (based on syllabus)
- Vocabulary Words (10)- [meanings & Sentences] Part 1
- Vocabulary Words (10)- [meanings & Sentences] Part 2
- Vocabulary Words (10)- [meanings & Sentences] Part 3
- Vocabulary Words (10)- [meanings & Sentences] Part 4
- Vocabulary Words (10)- [meanings & Sentences] Part 5
- Vocabulary Words (10)- [meanings & Sentences] Part 6
- Vocabulary Words (10)- [meanings & Sentences] Part 7
- Vocabulary Words (10)- [meanings & Sentences] Part 8
- Vocabulary Words (10)- [meanings & Sentences] Part 9
- Vocabulary Words (10)- [meanings & Sentences] Part 10
- Vocabulary Words (10)- [meanings & Sentences] Part 11
- Vocabulary Words (10)- [meanings & Sentences] Part 12
- Vocabulary Words (10)- [meanings & Sentences] Part 13
- Vocabulary Words (10)- [meanings & Sentences] Part 14
- Vocabulary Words (10)- [meanings & Sentences] Part 15
- Vocabulary Words (10)- [meanings & Sentences] Part 16
- Vocabulary Words (10)- [meanings & Sentences] Part 17
- Vocabulary Words (10)- [meanings & Sentences] Part 18
- Vocabulary Words (10)- [meanings & Sentences] Part 19
- Vocabulary Words (5)- [meanings & Sentences] Part 20
- Vocabulary Words (5)- [meanings & Sentences] Part 21
3.2: Word Pairs
- Word Pairs (5)- [meanings & Sentences] Part 1
- Word Pairs (5)- [meanings & Sentences] Part 2
- Word Pairs (5)- [meanings & Sentences] Part 3
- Word Pairs (5)- [meanings & Sentences] Part 4
- Word Pairs (5)- [meanings & Sentences] Part 5
- Word Pairs (5)- [meanings & Sentences] Part 6
- Word Pairs (5)- [meanings & Sentences] Part 7
- Word Pairs (5)- [meanings & Sentences] Part 8
- Word Pairs (5)- [meanings & Sentences] Part 9
- Word Pairs (5)- [meanings & Sentences] Part 10
- Word Pairs (5)- [meanings & Sentences] Part 11
- Word Pairs (5)- [meanings & Sentences] Part 12
- Word Pairs (5)- [meanings & Sentences] Part 13
- Word Pairs (5)- [meanings & Sentences] Part 14
- Word Pairs (5)- [meanings & Sentences] Part 15
- Word Pairs (5)- [meanings & Sentences] Part 16
- Word Pairs (5)- [meanings & Sentences] Part 17
- Word Pairs (5)- [meanings & Sentences] Part 18
- Word Pairs (5)- [meanings & Sentences] Part 19
- Word Pairs (5)- [meanings & Sentences] Part 20
3.3: Proverbs and Stories
- Proverb and Story Part 1
- Proverb and Story Part 2
- Proverb and Story Part 3
- Proverb and Story Part 4
- Proverb and Story Part 5
3.4: Idioms and Phrasal Verbs
- Idioms (10)- [meanings & Sentences] Part 1
- Idioms (10)- [meanings & Sentences] Part 2
- Idioms (10)- [meanings & Sentences] Part 3
- Idioms (10)- [meanings & Sentences] Part 4
- Idioms (10)- [meanings & Sentences] Part 5
- Phrasal Verbs (10)- [meanings & Sentences] Part 1
- Phrasal Verbs (10)- [meanings & Sentences] Part 2
- Phrasal Verbs (10)- [meanings & Sentences] Part 3
- Phrasal Verbs (10)- [meanings & Sentences] Part 4
- Phrasal Verbs (10)- [meanings & Sentences] Part 5
Chapter 4: Essay Outlines (15 videos)
4.1: Essay Outlines (with explanation)
- Essay Outline (Women Education) Part 1
- Essay Outline (Women Education) Part 2
- Essay Outline (Women Education) Part 3
- Essay Outline (Social Media) Part 1
- Essay Outline (Social Media) Part 2
- Essay Outline (Social Media) Part 3
- Essay Outline (Corruption) Part 1
- Essay Outline (Corruption) Part 2
- Essay Outline (Corruption) Part 3
- Essay Outline (Pollution) Part 1
- Essay Outline (Pollution) Part 2
- Essay Outline (Education) Part 1
- Essay Outline (Education) Part 2
- Essay Outline (Education) Part 3
- Essay Outline (Education) Part 4
Chapter 5: Short Stories (18 videos) (Practice Test)
5.1: Short Stories (Summaries and Q & A) (Practice Test)
- Button Button Summary
- Button Button Q & A
- Birkenhead Drill Summary
- Birkenhead Drill Q & A
- The Stuffed Trout Summary
- The Stuffed Trout Q & A
- The Man who was a Hospital
- The Man who was a Hospital Q & A
- The Dying Sun Summary
- The Dying Sun Q & A Part 1
- The Dying Sun Q & A Part 2
- The Devoted Friend Summary
- The Devoted Friend Q & A Part 1
- The Devoted Friend Q & A Part 2
- Hitch-Hicking Across the Sahara Summary
- Hitch-Hicking Across the Sahara Q & A Part 1
- Hitch-Hicking Across the Sahara Q & A Part 2
- M. A. Jinnah: A Great States Man Q & A
Chapter 6: Plays (27 videos) (Practice Test)
6.1: Plays (Summaries, Analysis and Q & A) (Practice Test)
- The Oyster and the Pearl Summary and Analysis Part 1
- The Oyster and the Pearl Summary and Analysis Part 2
- The Oyster and the Pearl Q & A Part 1
- The Oyster and the Pearl Q & A Part 2
- Progress Summary Part 1
- Progress Summary Part 2
- Progress Q & A Part 1
- Progress Q & A Part 2
- Progress Q & A Part 3
- Dear Departed Summary
- Dear Departed Q & A Part 1
- Dear Departed Q & A Part 2
- True Friendship Summary Part 1
- True Friendship Summary Part 2
- True Friendship Q & A Part 1
- True Friendship Q & A Part 2
- King Lear Summary
- King Lear Character Analysis Part 1
- King Lear Character Analysis Part 2
- King Lear Q & A Part 1
- King Lear Q & A Part 2
- King Lear Q & A Part 3
- King Lear Q & A Part 4
- King Lear Q & A Part 5
- Twenty Minutes with Mrs. Oakentubb Summary
- Twenty Minutes with Mrs. Oakentubb Q & A Part 1
- Twenty Minutes with Mrs. Oakentubb Q & A Part 2
Chapter 7: Poems (26 videos) (Practice Test)
7.1: Poems (Summaries, Analysis, Themes and Q & A) (Practice Test)
- Night Mail Summary Part 1
- Night Mail Summary Part 2
- Night Mail Q & A Part 1
- Night Mail Q & A Part 2
- Sonnet-Westminster Bridge Summary
- Sonnet-Westminster Bridge Q & A Part 1
- Sonnet-Westminster Bridge Q & A Part 2
- Sonnet-Westminster Bridge Q & A Part 3
- We are Seven Summary Part 1
- We are Seven Summary Part 2
- We are Seven Themes Part 1
- We are Seven Themes Part 2
- We are Seven Themes Part 3
- September, The First Day of School Summary Part 1
- September, The First Day of School Summary Part 2
- September, The First Day of School Summary Part 3
- September, The First Day of School Themes
- Endymion Summary and Analysis Part 1
- Endymion Summary and Analysis Part 2
- Endymion Summary and Analysis Part 3
- Endymion Questions and Answers
- One Way of Love Summary
- One Way of Love Analysis
- If Summary
- If Analysis Part 1
- If Analysis Part 2
Chapter 8: Novels (19 videos) (Practice Test)
8.1: Novel (Summary, Themes, Characters and Q & A) (Practice Test)
- Goodbye Mr. Chips Summary Part 1
- Goodbye Mr. Chips Summary Part 2
- Goodbye Mr. Chips Summary Part 3
- Goodbye Mr. Chips Summary Part 4
- Character of Mr. Chips Part 1
- Character of Mr. Chips Part 2
- Character of Mr. Chips Part 3
- Character of Katherine Bridges Part 1
- Character of Katherine Bridges Part 2
- Character of Mr. Ralston
- Character of Mrs. Wicketts
- Goodbye Mr. Chips Short Q & A Part 1
- Goodbye Mr. Chips Short Q & A Part 2
- Goodbye Mr. Chips Theme: Humour
- Goodbye Mr. Chips Theme: Anti-War Part 1
- Goodbye Mr. Chips Theme: Anti-War Part 2
- Goodbye Mr. Chips Theme: Farewell Speech: Always Stay Positive Part 1
- Goodbye Mr. Chips Theme: Farewell Speech: Always Stay Positive Part 2
- Goodbye Mr. Chips Theme: Changing World
Math Class-XI
Chapter 1: Sets (128 videos) (Practice Test)
- Set Definition
- Problem-Set Definition
- Set Notation & its Characteristics
- Problem-Set Notation & its Characteristics
- Definition & Notation of Some Important Sets
- Order of a Set
- Problem-Order of a Set
- Interval Notation of a Set
- Equal & Equivalent Sets
- Problem 1: Equal & Equivalent Sets
- Subset Definition
- Problem 1: Subset Definition
- Problem-Subset Definition
- Proper Subset & Improper Subset
- Problem 1: Proper Subset & Improper Subset
- Properties of Subset
- Problem 1: Properties of Subset
- Power Set
- Problem 1: Power Set
- Universal Set
- Introduction to Ordered Pairs
- Union of Two Sets
- Problem 1: Union of Two Sets
- Exhaustive Sets and Cells
- Intersection of Set
- Problem 1: Intersection of Set
- Difference of Sets
- Problem 1: Difference of Sets
- Symmetric Difference of two sets
- Problem 1: Symmetric Difference of two sets
- Complement of a Set
- Problem 1: Complement of a Set
- Double Complementation Law
- Problem-Double Complementation Law
- Cartesian Product of Sets
- Problem 1: Cartesian Product of Sets
1.4: Properties of Operations on Sets (Practice Test)
- Commutative Law of Union of Sets
- Problem 1: Commutative Law of Union of Sets
- Commutative Law of Intersection of Sets
- Problem 1: Commutative Law of Intersection of Sets
- Intersection Associativity for Overlapping Sets
- Problem 1: Intersection Associativity for Overlapping Sets
- Intersection Associativity for Disjoint Sets
- Problem 1: Intersection Associativity for Disjoint Sets
- Intersection Associativity for Sets
- More on Intersection Associativity for Sets
- Problem 1: Intersection Associativity for Sets
- Problem 1: More on Intersection Associativity for Sets
- Union Associativity for Overlapping Sets
- Problem 1: Union Associativity for Overlapping Sets
- Union Associativity for Disjoint Sets
- Problem 1: Union Associativity for Disjoint Sets
- Union Associativity for Sets
- Problem 1: Union Associativity for Sets
- More on Union Associativity for Set
- Problem 1: More on Union Associativity for Set
- Distributivity of Union Over Intersection of Sets
- Problem 1: Distributivity of Union Over Intersection of Sets
- Distributivity of Intersection Over Union of Sets
- Problem 1: Distributivity of Intersection Over Union of Sets
- Introducing Field
- Problem-Introducing Field
- Distributive Property of Cartesian Product Over Union
- Problem-Distributive Property of Cartesian Product Over Union
- Distributive Property of Cartesian Product Over Intersection
- Problem-Distributive Property of Cartesian Product Over Intersection
- Distributive Property of Cartesian Product Over Difference
- Problem-Distributive Property of Cartesian Product Over Difference
- Identity With Respect to Intersection
- Problem-Identity With Respect to Intersection
1.5: Some Important Laws (Practice Test)
- Identity Laws
- Problem-Identity Laws
- Laws of Complement
- Problem-Laws of Complement
- Some Important Laws
- Problem-Some Important Laws
- Demorgans Law for Overlapping Sets
- Problem 1: Demorgans Law for Overlapping Sets
- Demorgans Law for Disjoint Sets
- Problem 1: Demorgans Law for Disjoint Sets
- Demorgans Law for Set & its Subset
- Problem 1: Demorgans Law for Set & its Subset
- Introduction to Binary Relation
- Problem-Introduction to Binary Relation
- Problem 1: Introduction to Binary Relation
- Domain & Range of Binary Relation
- Problem 1: Domain & Range of Binary Relation
- Problem-Domain & Range of Binary Relation
- Introduction to Binary Operations
- Problem-Introduction to Binary Operations
- Multiplication Table
- Problem-Multiplication Table
- Operations on Residue Classes Modulo n
- Problem-Operations on Residue Classes Modulo n
- Properties of Binary Operations
- Problem-Properties of Binary Operations
- Theorems on Binary Operation
- More on Theorems on Binary Operation
- Problem-Theorems on Binary Operation
- Introduction to Function
- More on Introduction to Functions
- Problem 1: Introduction to Function
- Problem-Introduction to Function
- Problem3-Introduction to Function
- Problem4-Introduction to Function
- Implied Domain
- Finding Domain and Range of Functions
- Types of Relations
- Operations on Functions
- Into Function
- Problem 1: Into Function
- Problem-Into Function
- Onto Function
- Problem 1: Onto Function
- Problem-Onto Function
- One to One Function
- Problem 1: One to One Function
- Problem-One to One Correspondence
- Bijective Function
- Problem 1: Bijective Function
- Problem-Bijective Function
- Injective Function
- Problem 1: Injective Function
- Problem-Injective Function
- One-One Function
- Problem-One-One Function
- Set Builder Notation for a Function
- Problem-Set Builder Notation for a Function
Chapter 2: Real and Complex Number Systems (143 videos) (Practice Test)
- Introduction to Real Numbers
- Problem-Introduction to Real Numbers
- Depiction of Real Number on Number Line
2.2: Development of Number Systems (Practice Test)
- Negative Numbers
- Integers
- Introduction to Rational Numbers
- Problem 1: Introduction to Rational Numbers
- Introduction to Irrational Numbers
- Problem 1: Introduction to Irrational Numbers
- Introduction to Real Numbers
- Problem-Introduction to Real Numbers
2.3: Distinction of Between Rational and Irrational Numbers (Practice Test)
- Presenting Rational Numbers on Number Line
- Problem-Decimal Representation of Rational Number
- Presenting Irrational Numbers on Number Line
- Problem-Decimal Representation of Irrational Number
- Problem 1: Presenting Irrational Numbers on Number Line
- Proving Square Root of Prime Number is Irrational Number
- Problem-Proving Square Root of Prime Number is Irrational Number
2.4: The Real Number System (Practice Test)
- Closure law of Whole Numbers Addition and Multiplication
- Closure law of Whole Numbers Subtraction and Division
- Closure law of Integers Addition, Multiplication & Subtraction
- Closure law of Integers Division
- Problem 1: Closure law of Integers Addition, Multiplication & Subtrac
- Closure Law of Rational Numbers
- Closure law of Rational Numbers Subtraction and Division
- Problem-Closure Law of Rational Numbers
- Problem 1: Closure Law of Rational Numbers
- Closure law of Irrational Numbers Addition and Subtraction
- Closure law of Irrational Numbers Multiplication and Division
- Commutative Law
- Commutative law under Subtration and Division
- Problem-Commutative Law
- Associative Law
- Associative law of Subtraction and Division
- Problem-Associative Law
- Problem 1: Associative Law
- Additive Identity & Additive Inverse
- Problem-Additive Identity & Additive Inverse
- Problem 1: Additive Identity & Additive Inverse
- Multiplicative Identity & Inverse
- Problem-Multiplicative Identity & Inverse
- Problem 1: Multiplicative Identity & Inverse
- Distributive Law
- Distributive Property of Multiplication over Subtraction
- Problem-Distributive Law
- Problem 1: Distributive Law
- Problem 1: Distributive law of Multiplication over Subtraction
- Trichotomy Property of Inequality
- Problem-Trichotomy Property of Inequality
- Problem 1: Trichotomy Property of Inequality
- Reflexive And Symmetric Property of Equality
- Problem-Reflexive And Symmetric Property of Equality
- Transitive Property of Equality
- Problem-Transitive Property of Equality
- Problem 1: Transitive Property of Equality
- Additive Property of Equality
- Problem-Additive Property of Equality
- Multiplicative Property of Equality
- Problem-Multiplicative Property of Equality
- Cancellation Property of Equality
- Problem-Cancellation Property of Equality
- Problem 1: Cancellation Property of Equality
- Density Property
- Problem-Density Property
- Archimedian Property of Inequality
- Problem-Transitive Property of Inequality
- Problem 1: Transitive Property of Inequality
- Additive Property of Inequality
- Problem-Additive Property of Inequality
- Multiplicative Property of Inequality
- Problem 1: Multiplicative Property of Inequality
- Inequality Multiplicative Inverse
- Problem-Inequality Multiplicative Inverse
- Indeterminate Form
- Golden Rule of Fractions
- Principle of Equality of Fractions
- Rule for Quotient of Fractrions
2.5: The System C of Complex Numbers (Practice Test)
- Complex Number Introduction
- Problem-Complex Number Introduction
- Problem 1: Complex Number Introduction
- Definition of Complex Number
- Problem 1: Definition of Complex Number
- Problem-Definition of Complex Number
- Equality of Complex Number
- Problem 1: Equality of Complex Number
- Problem-Equality of Complex Number
- Addition of Complex Number
- Problem 1: Addition of Complex Number
- Problem-Addition of Complex Number
- Multiplication of Complex with Scalar Numbers
- Problem 1: Multiplication of Complex with Scalar Numbers
- Problem-Scalar Multiplication of Complex Numbers
- Multiplication of Complex Numbers
- Problem 1: Multiplication of Complex Numbers
- Problem-Multiplication of Complex Numbers
2.6: Properties of Complex Numbers (Practice Test)
- Commutative Property of Complex Numbers
- Problem-Commutative Property of Complex Numbers
- Associative Property of Complex Numbers
- Problem-Associative Property of Complex Numbers
- The Distributive Property of Complex Numbers
- Problem-The Distributive Property of Complex Numbers
- Additive Identity and Multiplicative Identity of Complex Numbers
- Problem-Additive Identity and Multiplicative Identity of Complex Numb
- Additive Inverse and Multiplicative Inverse of Complex Numbers
- Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
- Solution of Simultaneous Linear Equations with Complex Co-efficients
- Problem-Solution of Simultaneous Linear Equations with Complex Co-eff
- Expression of the Polynomial P ( z ) as a Product of Linear Factors
- Problem-Expression of the Polynomial P ( z ) as a Product of Linear F
- Quadratic Equation of Complex Variables
- Problem-Quadratic Equation of Complex Variables
2.7: Definition of Imaginary Numbers
- Complex Numbers as Ordered Pairs of Real Numbers
- Problem 1: Definition of Complex Number
2.8: Conjugate of Complex Numbers
- Conjugate of Complex Number
- Problem 1: Conjugate of Complex Number
- Problem 2: Conjugate of Complex Number
- Problem-Conjugate of Complex Number
2.9: Modulus of a Complex Number (Practice Test)
- Modulus of Complex Number
- Problem-Modulus of Complex Number
- Theorems on Complex Number
- More on Theorems on Complex Numbers
- Problem-Theorems on Complex Number
2.10: The Subtraction of Complex Numbers
- Subtraction of Complex Numbers
- Problem 1: Subtraction of Complex Numbers
- Problem-Subtraction of Complex Numbers
2.11: The Division of Complex Numbers (Practice Test)
- Division of Complex Numbers
- Problem 1: Division of Complex Numbers
- Problem-Division of Complex Numbers
- Division Property of Complex Numbers
- Problem 1: Division Property of Complex Numbers
- Problem-Division Property of Complex Numbers
2.12: Geometrical Representation of the Complex Number x + iy as Pair of Real Numbers (Practice Test)
- Argand Diagram
- Problem-Argand Diagram
- Modulus of Complex Number
- Problem-Modulus of Complex Number
2.13: The Order Relations
- The Order Relations
- Problem-The Order Relations
2.14: Vector Interpretation of Complex Numbers
- Vector Interpretation of Complex Numbers
- Problem-Vector Interpretation of Complex Numbers
2.15: The Triangle Inequality
- The Triangle Inequality
- Problem-The Triangle Inequality
2.16: Real and Imaginary Parts of ( x + iy ) Power n
- Real and Imaginary parts of Expression of Power n
- Problem-Real and Imaginary parts of Expression of Power n
Chapter 3: Equations (92 videos) (Practice Test)
3.1: Quadratic Equations (Practice Test)
- Introduction to Polynomials
- Problem 1: Introduction to Polynomials
- Linear Equations in one, two and three variables
- Problem 1: Linear Equations in one, two and three variables
- Quadratic Equations in One Variable
- Problem 1: Quadratic Equations in One Variable
3.2: Factor Theorem of Polynomials (Practice Test)
- Remainder Theorem
- Problem 1: Remainder Theorem
- Factor Theorem
- Problem 2: Factor Theorem
- Problem 1: Factor Theorem
3.3: Synthetic Division
- Synthetic Division Method
3.4: Solution of Quadratic Equations (Practice Test)
- Solving Quadratic Equations by Factorization
- Problem 1: Solving Quadratic Equations by Factorization
- Solving Quadratic Equations by Completing the Squares
- Problem 1: Solving Quadratic Equations by Completing the Squares
- Problem 2: Solving Quadratic Equations by Completing the Squares
- Derivation of Quadratic formula
- Problem 1: Derivation of Quadratic formula
- Solving Quadratic Equation by Quadratic formula
- Problem1-Solving Quadratic Equation-Quadratic Formula
- Problem 2: Solving Quadratic Equation by Quadratic formula
- Problem-Solving Involving Quadratic Equations
3.5: The Cube Roots of Unity
- The Cube Roots of Unity
- Problem 1: The Cube Roots of Unity
3.6: Properties of the Cube Roots of Unity (Practice Test)
- Recognise Complex Cube Roots of Unity
- Properties of Cube Roots of Unity
- Problem 1: Properties of Cube Roots of Unity
3.7: Equations Reducible to the Quadratic Form (Practice Test)
- Solving Equation Having Degree 2n
- Problem-Solving Equation Having Degree 2n
- Problem2-Solving Equation Having Degree 2n
- Solving Equation Having Degree Four
- Solving Rational Equations
- Solving Reciprocal Algebraic Equation
- Problem 1: Solving Reciprocal Algebraic Equation
- Solving Exponential Equations
- Solving Algebraic Equations in Products Factors
- Equations with Different Exponential Functions
- More on Equations with Different Exponential Functions
- Problem-Equations with Different Exponential Functions
- Equations with Special Base e
- Problem-Equations with Special Base e
- Exponential Modelling
- Problem1-Exponential Modelling
- Problem2-Exponential Modelling
- Equations Containing Logarithms
- Problem-Equations Containing Logarithms
- Disguised Quadratic Equations
- Problem-Disguised Quadratic Equations
3.8: The Theory of Quadratic Equations (Practice Test)
- The Theory of Quadratic Equations
- More on the Theory of Quadratic Equations
- Problem-The Theory of Quadratic Equations
3.9: Nature of the Roots of a Quadratic Equation (Practice Test)
- Discriminant of Quadratic Expression
- Problem 1: Discriminant of Quadratic Expression
- Finding Discriminant of Quadratic Equation
- Problem 1: Finding Discriminant of Quadratic Equation
- Nature of the Roots of a Quadratic Equation
- Problem 1: Nature of the Roots of a Quadratic Equation
- Quadratic Function
- Geometrical Interpretation and the Discriminant
- Problem1-Geometrical Interpretation and the Discriminant-1
- Problem1-Geometrical Interpretation and the Discriminant-2
- Problem2-Geometrical Interpretation and the Discriminant-1
- Verification of Nature of Roots of Equation
- Finding s when Nature of Roots is given
- Finding s when Nature of Roots is given
- Problem 1: Finding s when Nature of Roots is given
3.10: Relaltions Between the Roots and the Coefficient of a Quadratic Equation
- Roots & Coefficients of Quadratic Equation
- Problem 1: Roots & Coefficients of Quadratic Equation
3.11: To Form a Quadratic Equation When its Roots are Given (Practice Test)
- Finding Sum of Roots from Their Product
- Problem 1: Finding Sum of Roots from Their Product
- Roots Satisfy a Given Relation
- Sum & Product of Roots Equal to a Number.
- Find a Quadratic Equation from Given Roots
- Form Quadratic Equations Whose Roots are Given
- Problem 1: Form Quadratic Equations Whose Roots are Given
3.12: Problems Involving Quadratic Equations
- Problem Leading to Quadratic Equations.
- Problem 1: Problem Leading to Quadratic Equations.
3.13: System of Two Equations Involving Two Variables (Practice Test)
- Solving Simultaneaous Quadratic Equations
- Solving Linear and Quadratic Equations
- Problem-Solving Linear and Quadratic Equations
- System of Two Equations Involving Two Variables
- Problem-System of Two Equations Involving Two Variables
3.14: Solution of Different Types of Systems of Equations (Practice Test)
- Solving Linear and Quadratic Equations
- Problem-Solving Linear and Quadratic Equations
- Solving 2nd Degree Equations in General Form Type 1
- Problem-Solving 2nd Degree Equations in General Form Type 1
- Solving 2nd Degree Equations in General Form Type 2
- Case2-Solving 2nd Degree Equations in General Form Type 2
- Case3-Solving 2nd Degree Equations in General Form Type 2
- Case4-Solving 2nd Degree Equations in General Form Type 2
- Case5-Solving 2nd Degree Equations in General Form Type 2
Chapter 4: Matrices and Determinants (139 videos) (Practice Test)
4.1: Introduction
- Introduction to Matrix
- More on Introducing Matrix
- Problem 1: Introduction to Matrix
- More on Introducing Matrix
- Order of Matrix
- Problem 1: Order of Matrix
- Location of elements in Matrix
- Problem 1: Location of elements in Matrix
- Row Matrix and Column Matrix
- Problem 1: Row Matrix and Column Matrix
- Square Matrix and Rectangular Matrix
- Problem 1: Square Matrix and Rectangular Matrix
- Introduction to Matrix
- Problem 1: Introduction to Matrix
- Transpose of a Matrix
- Problem 1: Transpose of a Matrix
4.4: Special Types of Matrices (Practice Test)
- Null Matrix or Zero Matrix
- Problem 1: Null Matrix or Zero Matrix
- Practical Application of Matrices
- Symmetric and Skew-Symmetric Matrices
- Problem 1: Symmetric and Skew-Symmetric Matrices
- Problem2-Symmetric & Skew-Symmetric Matrices
- Hermitian and Skew Hermitian Matrix
- Problem-Hermitian and Skew Hermitian Matrix
- Triangular Matrices
- Problem-Triangular Matrices
- Diagonal Matrix
- Problem 1: Diagonal Matrix
- Scalar Matrix
- Problem 1: Scalar Matrix
- Identity Matrix
- Problem 1: Identity Matrix
- Adjoint of a Matrix
- Problem 1: Adjoint of a Matrix
4.5: Algebra of Matrices (Practice Test)
- Equal Matrices
- Problem 1: Equal Matrices
- Problem 2: Equal Matrices
- Addition of Matrices
- Problem 1: Addition of Matrices
- Subtraction of Matrices
- Problem 1: Subtraction of Matrices
- Multiplication of Matrix by a Real Number
- Problem 1: Multiplication of Matrix by a Real Number
- Multiplication of Matrices
- More on Multiplication of Matrices
- Problem 1: Multiplication of Matrices
- Problem 2: Multiplication of Matrices
- Problem3-Multiplication of Matrices
4.6: Properties of Matrix Operation (Practice Test)
- Property for whole transpose of product of Matrices
- Property for Whole Inverse of Product of Matrices
- More on Property for Whole Inverse of Product of Matrices
- Problem 1: Property for whole transpose of product of Matrices
- Commutative Law under Addition for Matrices
- Problem 1: Commutative Law under Addition for Matrices
- Associaitve Law under Addition for Matrices
- Problem 1: Associaitve Law under Addition for Matrices
- Additive Identity of a Matrix
- Problem 1: Additive Identity of a Matrix
- Additive Inverse of a Matrix
- Problem 1: Additive Inverse of a Matrix
- Commutative Law of Multiplication of Matrices
- Problem 1: Commutative Law of Multiplication of Matrices
- Negative of Matrix
- Problem 1: Negative of Matrix
- Prove That c(AB) = (cA)B = A(cB)
- Problem-Prove That c(AB) = (cA)B = A(cB)
- Properties of Scalar Multiplication
- Associative law under Multiplication of matrices
- Problem 1: Associative law under Multiplication of matrices
- Distributive Law of Multiplication over Addition for Matrices
- Problem 1: Distributive Law of Multiplication over Addition for Matri
- Multiplicative Identity of a Matrix
- Problem 1: Multiplicative Identity of a Matrix
- Properties of Transposed Matrices
- Problem-Properties of Transposed Matrices
4.7: Determinant of a Square Matrix
- Determinant of 2-by-2 Matrix
- Problem1-Singular and Non-Singular Matrix
- Problem2-Singular and Non-Singular Matrix
4.8: Determinants of Order Two and Three
- Determinant of a Sqaure Matrix of Order 3 or greater
- Problem-Determinant of a Sqaure Matrix of Order 3 or greater
4.9: Properties of Determinants of Order Two (Practice Test)
- Properties of Determinants
- More on Properties of Determinants
- Problem 1-Properties of Determinants
- Problem 2-Properties of Determinants
- Problem 3-Properties of Determinants
- Problem 4-Properties of Determinants
4.10: Alternate Method For Expanding a Third Order Determinant
- Alternate Method For Expanding a Third Order Determinant
- Problem-Alternate Method For Expanding a Third Order Determinant
4.11: Properties of Determinants of Order Three
- Properties of Determinants of Order Three
- Problem-Properties of Determinants of Order Three
4.12: Minors and Cofactors of Elements of a Given Matrix A (Practice Test)
- Minor of an Element of a Matrix or Its Determinant
- Problem-Minor of an Element of a Matrix or Its Determinant
- Cofactor of an Element of a Matrix
- Problem-Cofactor of an Element of a Matrix
- More on Matrix Inverse Using Adjoint
- Problem2-Matrix Inverse Using Adjoint
- Adjoint of a Square Matrix of Order n = 3 or n > 3
- Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
4.13: The Multiplicative Inverse of a Square Matrix (Practice Test)
- Multiplicative Inverse of a Non-Singular Matrix
- Problem 1: Multiplicative Inverse of a Non-Singular Matrix
- Inverse of Matrix using Adjoint
- More on Matrix Inverse Using Adjoint
- Problem 1: Inverse of Matrix using Adjoint
- Problem2-Matrix Inverse Using Adjoint
- Problem3-Matrix Inverse Using Adjoint
- Problem4-Matrix Inverse Using Adjoint
- Adjoint of a Square Matrix of Order n = 3 or n > 3
- Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
- Deriving a Method For Determining Inverses
- Problem-Deriving a Method For Determining Inverses
- Inverse of Matrix by Row Operation
- Problem-Inverse of Matrix by Row Operation
- Problem-More on Inverse of Matrix by Row Operation
- Inverse of Matrix by Column Operation
- Problem-Inverse of Matrix by Column Operation
- Problem-More on Inverse of Matrix by Column Operation
- Echelon and Reduced Echelon Form of Matrix
- Problem-Echelon and Reduced Echelon Form of Matrix
- Echelon Form of Matrix
- Problem-Echelon Form of Matrix
- Reduced Echelon Form of Matrix
- Problem-Reduced Echelon Form of Matrix
- Rank of a Matrix
- Problem-Rank of a Matrix
- Invertible Matrix
- Problem-Invertible Matrix
- Theorems on Invertible Matrix
- More Theorems on Invertible Matrix
4.14: Distinction Between Homogeneous and Non-Homogeneous Systems of Linear Equations (Practice Test)
- Solution of Homogeneous Linear Equations
- More on Solution of Homogeneous Linear Equations
- Problem-Solution of Homogeneous Linear Equations
- More on Problem-Solution of Homogeneous Linear Equations
4.15: olving a System of Three Non-Homogeneous Linear Equations in Three Unknowns (Practice Test)
- System of Linear Equations
- More on System of Linear Equations
- Problem-System of Linear Equations
- Consistency and Inconsistency of a System
- Problem-Consistency and Inconsistency of a System
- Solving a System of Three Non-Homogeneous Linear Equations
- Problem-Solving a System of Three Non-Homogeneous Linear Equations
Chapter 5: Groups (23 videos) (Practice Test)
5.1: Binary Operations
- Introduction to Binary Operations
- Problem-Introduction to Binary Operations
5.2: Multiplication ( or Composition ) Table (Practice Test)
- Multiplication Table
- Problem-Multiplication Table
- Operations on Residue Classes Modulo n
- Problem-Operations on Residue Classes Modulo n
5.3: Properties of Binary Operations
- Properties of Binary Operations
- Problem-Properties of Binary Operations
5.4: Algebraic Structure
- Introduction to Semi-Group
- Problem-Introduction to Semi-Group
- Introduction to Groups
- Problem-Introduction to Groups
- Introduction to Abelian and Non-Abelian Group
- Problem-Introduction to Abelian and Non-Abelian Group
- Finite and Infinite Group
- Problem1-Finite and Infinite Group
- Problem2-Finite and Infinite Group
- Introduction to Reversal Laws of Inverses
- Problem-Introduction to Reversal Laws of Inverses
- Theorems on Groups
- More on Theorems on Groups
- Problem-Theorems on Groups
- Problem-Theorems on Abelian Groups
Chapter 6: Sequences and Series (102 videos) (Practice Test)
- Introduction to Sequence and Series
- Problem-Introduction to Sequence and Series
- Convergent, Divergent and Periodic Sequences
- Problem-Convergent, Divergent and Periodic Sequences
- Types of Sequences
- Problem-Types of Sequences
6.2: Arithmetic Sequences or Arithmetic Progression ( A.P )
- Concept of Arithmetic Progression
- Problem-Concept of Arithmetic Progression
6.3: Standard Form of an A.P
- Concept of Arithmetic Progression
- Problem-Concept of Arithmetic Progression
- Concept of Series
- Problem1-Concept of Series
- Problem2-Concept of Series
- Sum of First n Terms of an Arithmetic Series
- Problem-Sum of First n Terms of an Arithmetic Series
6.5: Arithmetic Means
- Concept of Arithmetic Mean
- Problem-Concept of Arithmetic Mean
6.6: To Insert Arithmetic Means
- n Arithmetic Means Between Two Given Numbers
6.7: To Find the Sum of n A.M (Practice Test)
- To Find the Sum of n A.M
- Problem-To Find the Sum of n A.M
- To Find the Sum of p A.M
- Problem-To Find the Sum of p A.M
- Word Problems on Arithmetic Progression
- More on Word Problems on Arithmetic Progression
- Problem1-Word Problems on Arithmetic Progression
- Problem2-Word Problems on Arithmetic Progression
6.8: Geometric Sequence or Geometric Progression ( G.P )
- Concept of Geometric Progression
- Problem1-Concept of Geometric Progressions
- Problem2-Concept of Geometric Progressions
6.9: Standard Form of a G.P
- Concept of Geometric Progression
- Problem1-Concept of Geometric Progressions
- Problem2-Concept of Geometric Progressions
- Introduction to Geometric Series
- Problem-Introduction to Geometric Series
- Sum of n Terms of a Geometric Series
- Problem-Sum of n Terms of a Geometric Series
6.11: Infinite Geometric Series (Practice Test)
- The Infinite Geometric Series
- More on The Infinite Geometric Series
- Problem1-The Infinite Geometric Series
- Problem2-The Infinite Geometric Series
- Recurring Decimals
6.12: Geometric Means
- Concept of Geometric Mean
- Problem-Concept of Geometric Means
6.13: To Insert Geometric Mean (Practice Test)
- Concept of Geometric Mean
- Problem-Concept of Geometric Means
- n Geometric Means Between Two Given Numbers
- Problem-n Geometric Means Between Two Given Numbers
- Word Problems on Geometric Series
- More on Word Problems on Geometric Series
- Problem1-Word Problems on Geometric Series
- Problem2-Word Problems on Geometric Series
- Problem3-Word Problems on Geometric Series
6.14: Harmonic Sequences or Harmonic Progression ( H.P )
- Concept of Harmonic Progression
- Problem-Concept of Harmonic Progression
6.15: General Term of an H.P
- General Term of Harmonic Progression
- Problem-General Term of Harmonic Progression
6.16: The Characteristic Relation for an H.P
- The Characteristic Relation for H.P
- Problem-The Characteristic Relation for H.P
6.17: An Important Theorem (Practice Test)
- An Important Theorem
- More on An Important Theorem
- Problem-An Important Theorem
6.18: Harmonic Means
- Concept of Harmonic Mean
- Problem-Concept of Harmonic Mean
6.19: To Insert Harmonic Mean (Practice Test)
- Concept of Harmonic Mean
- Problem-Concept of Harmonic Mean
- n Harmonic Means Between Two Numbers
- Problem-n Harmonic Means Between Two Numbers
6.20: Relation Between Means (Practice Test)
- Relations Between A.M, G.M & H.M
- More on Relations Between A.M, G.M & H.M
- Problem-Relations Between A.M, G.M & H.M
- Alternate Formula For sum of n Numbers
- Problem-Alternate Formula For sum of n Numbers
- Alternate Formula For Sum of n Squares
- More on Alternate Formula For Sum of n Squares
- Problem-Alternate Formula For Sum of n Squares
- Alternate Formula For Sum of n Cubes
- More on Alternate Formula For Sum of n Cubes
- Problem1-Alternate Formula For Sum of n Cubes
- Problem2-Alternate Formula For Sum of n Cubes
- Arithmetical-Geometric Series
- Problem-Arithmetical-Geometric Series
- Sum of n Terms of Arithmetical-Geometric Series
- More on Sum of n Terms of Arithmetical-Geometric Series
- Further on Sum of n Terms of Arithmetical-Geometric Series
- Problem-Sum of n Terms of Arithmetical-Geometric Series
- Sum to Infinity of Arithmetico-Geometric Series
- Problem-Sum to Infinity of Arithmetico-Geometric Series
- The Method of Differences
- Problem-The Method of Differences
- A Series Each Term Having r Factors in A.P
- More on A Series Each Term Having r Factors in A.P-1
- More on A Series Each Term Having r Factors in A.P-2
- More on A Series Each Term Having r Factors in A.P-3
- Problem-A Series Each Term Having r Factors in A.P
- Introduction to Reciprocal Series
- More on Introduction to Reciprocal Series1
- More on Introduction to Reciprocal Series2
- More on Introduction to Reciprocal Series3
- Problem-Introduction to Reciprocal Series1
- Problem-Introduction to Reciprocal Series2
- Summation of Series By Partial Fractions
- Problem-Summation of Series By Partial Fractions
Chapter 7: Permutations, Combinations and Introduction to Probability (27 videos) (Practice Test)
7.1: The Counting Principles
- The Counting Principles
7.2: The Factorial Notation
- Introduction to Factorial Notation
- Problem-Introduction to Factorial Notation
7.3: Permutations and Combinations
- Introduction to Permutation
- Problem-Introduction to Permutation
7.4: Number of Permutations
- Permutation of Things Not All Different
- Problem-Permutation of Things Not All Different
7.5: Circular ( or Cyclic ) Permutations
- Circular Permutation
- Problem-Circular Permutation
7.6: Number of Combinations (Practice Test)
- Introduction to Combinations
- Problem1-Introduction to Combinations
- Problem2-Introduction to Combinations
- Theorems on Combination
- Complementary Combination
- Problem1-Complementary Combination
- Problem2-Complementary Combination
7.7: Introduction to Probability
- Introduction
- Problem-Introduction to Probabillity
7.8: Basic Terminology
- Basic Terminology
7.9: Definition of Probability
- Definition of Probability
- Problem-Definition of Probability
7.10: Addition Law of Probability (Practice Test)
- Addition of Probabilities and Mutually Exclusive Events
- Problem-Addition of Probabilities of Mutually Exclusive Events
- Probability as Long Term Relative Frequency
- Problem Solving Strategies in Probability
- Probability and Venn Diagrams
- More on Probability and Venn Diagrams
Chapter 8: Mathematical Induction and Binomial Theorem (39 videos) (Practice Test)
8.1: The Principle of Mathematical Inducion
- Introduction to Mathematical Induction
- Problem-Introduction to Mathematical Induction
8.2: Sum of Positive Integral Powers of Natural Numbers (Practice Test)
- Principle of Mathematical Induction
- More on Principle of Mathematical Induction
- Problem1-Principle of Mathematical Induction
- Problem2-Principle of Mathematical Induction
- Sum of Positive Integral Powers of Natural Numbers
- Principle of Extended Mathematical Induction
- Problem1-Principle of Extended Mathematical Induction
- Problem2-Principle of Extended Mathematical Induction
- Introduction to Binomial Theorem
- Problem1-Introduction to Binomial Theorem
- Problem2-Introduction to Binomial Theorem
- Pascal’s Triangle
- Problem1-Pascal’s Triangle
- Problem2-Pascal’s Triangle
8.4: The Binomial Theorem for a Positive Integral Index (Practice Test)
- Proof of Binomial Theorem
- More on Proof of Binomial Theorem
- Problem1-Proof of Binomial Theorem
- Problem2-Proof of Binomial Theorem
8.5: Some Important Observations
- Some Important Observations
8.6: The General Term
- Deductions From Binomial Theorem
- Problem1-Deductions From Binomial Theorem
- Problem2-Deductions From Binomial Theorem
8.7: The Middle Terms
- The Middle Term in the Expansion of ( a + x ) ^2
- Problem1-The Middle Term in the Binomial Expansion
- Problem2-The Middle Term in the Binomial Expansion
- More on Problem2-The Middle Term in the Binomial Expansion
- Problem3-The Middle Term in the Binomial Expansion
8.8: The Binomial Series
- Some Deductions From the Binomial Expansion of ( a + x ) ^n
- Problem1-Some Deductions From the Binomial Expansion
- Problem2-Some Deductions From the Binomial Expansion
- Problem3-Some Deductions From the Binomial Expansion
8.9: Approximations
- Some Deductions From the Binomial Expansion of ( a + x ) ^n
- Applications of the Binomial Theorem
- Problem1-Applications of the Binomial Theorem
8.10: Application to Summation of Series
- Some Deductions From the Binomial Expansion of ( a + x ) ^n
- More on Applications of the Binomial Theorem
- Problem2-Applications of the Binomial Theorem
Chapter 9: Fundamentals of Trigonometry (32 videos) (Practice Test)
- Introduction to an Angle
- Measuring an Angle in Sexagesimal System
- Problem1-Measuring an Angle in Sexagesimal System
- Sexagesimal System into Decimal form & Vice Versa
- Problem-Sexagesimal System into Decimal form & Vice Versa
9.2: Radian Measure
- Radian Measure of an Angle
- Problem-Radian Measure of an Angle
- Problem2-Radian Measure of an Angle
9.3: General and Its Measure in Degree and Radians
- General Angles
- Problem-General Angles
9.4: Relation Between Radian and Degree Measure
- Relationship Between Radians & Degrees.
9.5: Relation Between Arc-Length, Radius and General Angle (Practice Test)
- Relationship of Radius-Central Angle-Arc Length
- Problem 1: Relationship of Radius-Central Angle-Arc Length
- Problem2-Relationship of Radius-Central Angle-Arc Length
- Area of a Circular Sector.
- Problem 1: Area of a Circular Sector.
- Problem2-Area of a Circular Sector.
- Problems Using Arcs and Sectors
- More on Problems Using Arcs and Sectors
9.6: The Radian Function
- The Radian Function
9.7: Signs of the Trigonometric Function in the Four Quadrants (Practice Test)
- Signs of Trigonometric Ratios in Different Quadrants
- Problem-Signs of Trigonometric Ratios in Different Quadrant
- Problem2-Signs of Trigonometric Ratios in Different Quadrant
- Trigonometric Functions for a Unit Circle
- Values of Remaining Trigonometric Ratios
- Values of Trigonometric Ratios at Quadrantal Angle
- Problem-Values of Trigonometric Ratios at Quadrantal Angle
9.8: Values of Trigonometric Functions (Practice Test)
- Trigonometric ratios of 45 degree
- Problem 1: Trigonometric ratios of 45 degree
- Trigonometric ratios of 30 degree and 60 degree
- Problem 1: Trigonometric ratios of 30 degree and 60 degree
- Problem 2: Trigonometric ratios of 30 degree and 60 degree
Chapter 10: Trigonometric Identities (43 videos) (Practice Test)
10.1: Trigonometric Identities and Their Applications (Practice Test)
- Proof of Fundamental Trigonometric Identity
- Problem 1: Proof of Fundamental Trigonometric Identity
- More on Fundamental Trigonometric Identity
- Problem 2: More on Fundamental Trigonometric Identity
- Problem 3: More on Fundamental Trigonometric Identity
- Problem 4: More on Fundamental Trigonometric Identity
- Problem5-Proof of Fundamental Trigonometric Identity
10.2: The Distance Formula (Practice Test)
- Derivation of Distance formula
- Problem 1: Derivation of Distance formula
- Problem-Derivation of Distance formula
- Use of Distance formula
- Problem 1: Use of Distance formula
- Problem-Use of Distance formula
- Fundamental Law of Trigonometry
- Problem-Fundamental Law of Trigonometry
- More on Fundamental Law of Trigonometry
- Proof of Angle Addition Formula for Cosine
- Problem-Proof of Angle Addition Formula for Cosine
- More on Proof of Angle Addition Formula for Cosine
10.4: Deductions From the Funndamental Law (Practice Test)
- Trigonometric Ratios and Allied Angles
- Problem1-Trigonometric Ratios and Allied Angles
- More on Trigonometric Ratios and Allied Angles
- Problem2-Trigonometric Ratios and Allied Angles
10.5: The Sum and Difference Identities (Practice Test)
- Deductions From Fundamental Law
- More on Deductions From Fundamental Law1
- More on Deductions From Fundamental Law2
- Problem1-Deductions From Fundamental Law
- Problem2-Deductions From Fundamental Law
- Problem3-Deductions From Fundamental Law
- Further Application of Basic Identities
- Problem1-Further Application of Basic Identities
- More on Further Application of Basic Identities
- Problem2-Further Application of Basic Identities
10.7: Identities for Sin2A, Cios2A and Tan2A
- Double Angle Identities
- Problem-Double Angle Identities
10.8: Identities For Sin A/2, Cos A/2 and Tan A/2
- Half Angle Identities
- Problem-Half Angle Identities
10.9: Sum and Product Identities For Trigonometric Functions (Practice Test)
- Product to Sum or Difference of Sines and Cosines
- Problem-Product to Sum or Difference of Sines and Cosines
- Sum or Difference to Product of Sines and Cosines
- More on Sum or Difference to Product of Sines and Cosines
- Problem-Sum or Difference to Product of Sines and Cosines
10.10: Applications
- Applications of Product of Sines and Cosines
Chapter 11: Graphs of Trigonometric Functions (43 videos) (Practice Test)
11.1: Trigonometric Functions (Practice Test)
- Domain and Ranges of Trigonometric Functions and Fundamental Identiti
- Problem1-Domain and Ranges of Trigonometric Functions and Fundamental
- Problem2-Domain and Ranges of Trigonometric Functions and Fundamental
- Problem3-Domain and Ranges of Trigonometric Functions and Fundamental
- Domain and Ranges of Sine and Cosine Functions
- More on Domain and Ranges of Sine and Cosine Functions
- Problem-Domain and Ranges of Sine and Cosine Functions
- Domain and Ranges of Tangent and Cotangent Functions
- More on Domain and Ranges of Tangent and Cotangent Functions
- Problem-Domain and Ranges of Tangent and Cotangent Functions
- Domain and Ranges of Secant Function
- More on Domain and Ranges of Secant Function
- Problem-Domain and Range of Secant Function
- Domain and Ranges of Cosecant Function
- More on Domain and Ranges of Cosecant Function
- Problem-Domain and Range of Cosecant Function
11.2: Periods of Trigonometric Functions (Practice Test)
- Introduction to Period of Trigonometric Functions
- Problem-Introduction to Period of Trigonometric Functions
- Periodic Properties of the Graph of SinA, CosA and TanA
11.3: Graphs of Trigonometric Functions (Practice Test)
- Graphs of Trigonometric Functions
- Problem-Graphs of Trigonometric Functions
- Graph of y = Sin x From – 360 to 360 Degree
- Problem1-Graph of y = Sin x From – 360 to 360 Degree
- Problem1-Graph of y = Sin x From – 360 to 360 Degree
- Graph of y = Cos x From – 360 to 360 Degree
- Problem1-Graph of y = Cos x From – 360 to 360 Degree
- Problem2-Graph of y = Cos x From – 360 to 360 Degree
- Graph of y = Tan x From – 180 to 180 Degree
- Problem-Graph of y = Tan x From – 180 to 180 Degree
- Graph of y = Cot x From – 360 to 180 Degree
- Problem-Graph of y = Cot x From – 360 to 180 Degree
- Graph of y = Sec x From – 360 to 360 Degree
- Problem-Graph of y = Sec x From – 360 to 360 Degree
- Graph of y = Cosec x From – 360 to 360 Degree
- Problem-Graph of y = Cosec x From – 360 to 360 Degree
- Graph of Sin2A and Cos2A Where A is a Positive Constant
- More on Graph of Sin2A and Cos2A Where A is a Positive Constant
- Symmetric Properties of the Graph of SinA, CosA and TanA
- Periodic Properties of the Graph of SinA, CosA and TanA
- Translation Property of the Graph of SinA, CosA and TanA
- More on Translation Property of the Graph of SinA, CosA and TanA
- Maximum and Minimum Values of Certain Trigonometric Functions
- Graphical Solution of Some Trigonometric Equations
Chapter 12: Solutions of Triangles (59 videos) (Practice Test)
- The Sine Rule
- Problem-The Sine Rule
- Examples on Sine Rule
12.2: The Laws of Cosines (Practice Test)
- The Cosine Rule
- More on The Cosine Rule
- Problem1-The Cosine Rule
- Problem2-The Cosine Rule
12.3: The Laws of Tangents (Practice Test)
- The Law of Tangents
- More on The Law of Tangents
- Problem-The Law of Tangents
12.4: Solutions of Triangles (Practice Test)
- When measures of one side and one angle are given
- Problem 1: When measures of one side and one angle are given
- when measures of hypotenuse and one Acute angle are given
- Problem 1: when measures of hypotenuse and one angle are given
- When measures of two sides are given
- Problem 1: When measures of two sides are given
- When measures of hypotenuse and one side are given
- Problem 1: When measures of hypotenuse and one side are given
- Concept of Angle of Elevation & Depression
- Problem 1: Concept of Angle of Elevation & Depression
- Engineering and Heights and Distances
- More on Engineering and Heights and Distances
- Problem1-Engineering and Heights and Distances
- Problem2-Engineering and Heights and Distances
- Application of the Sine Rule
- Problem2-The Cosine Rule
12.5: Half Angle Formulae in Terms of the Lengths of the Sides of a Triangle (Practice Test)
- Half Angle Formulas
- Problem-The Sine of Half the Angle Formula
- The Cosine of Half the Angle in Terms of the Sides
- Problem-The Cosine of Half the Angle in Terms of the Sides
- The Tangents of Half the Angle in Terms of the Sides
- Problem-The Tangents of Half the Angle in Terms of the Sides
- Bearing
- Compass and True Bearing
- Concept of Oblique Triangles
- Problem-Concept of Oblique Triangles
- When Measures of One Side and Two Angles are Given
- Problem-When Measures of One Side and Two Angles are Given
- When Measures of Two Side and Their Included Angles are Given
- Problem-When Measures of Two Side and Their Included Angles are Given
- When Measures of Three Sides are Given
12.6: Area of a Triangle (Practice Test)
- Area of Triangle
- Area of Triangle by Measuring One Side and Two Angle
- Area of Triangle by Measuring Three Sides
- Problem-Area of Eqilateral Triangle With Given Sides
- Area of Equilateral Triangle with Given Sides
- More on Area of a Triangle with Given Sides
12.7: Circles Associated with a Triangle
- Circles Connected With Triangles
- Problem-Circles Connected With Triangles
12.8: Circum-Radius in Terms of the Measure of a Side and the Measure of the Opposite (Practice Test)
- Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
- More on Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
- Problem1-Relation Among Radius, Circum-Angle & Chord of a Circum-Circ
12.9: Circum-Radius r in Terms of the Measure of three Sides of a Triangle (Practice Test)
- Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
- More on Relation Among Radius, Circum-Angle & Chord of a Circum-Circle
- Problem1-Relation Among Radius, Circum-Angle & Chord of a Circum-Circ
12.10: The In-Radius of a Triangle
- Relation Among In-Radius, Perimeter & Area of Triangle
- Problem-Relation Among In-Radius, Perimeter & Area of Triangle
12.11: Radii of e-Circles of a Triangle
- Relation Among ex-Radius, Perimeter & Area of Triangle
- Problem-Relation Among ex-Radius, Perimeter & Area of Triangle
Chapter 13: Inverse Trigonometric Functions and Trigonometric Equations (53 videos) (Practice Test)
13.1: Inverse Trigonometric Functions and Their Domains and Ranges (Practice Test)
- Introduction to Inverse Trigonometric Functions
- Vertical and Horizontal Line Tests
- More on Vertical and Horizontal Line Tests
- The Inverse Sine Function
- Problem1-The Inverse Sine Function
- Problem2-The Inverse Sine Function
- Inverse Relation of General Sine Functions
- The Inverse Cosine Function
- Problem1-The Inverse Cosine Function
- Problem2-The Inverse Cosine Function
- The Inverse Tangent Function
- Problem1-The Inverse Tangent Function
- Problem2-The Inverse Tangent Function
- Inverse Cotangent, Secant and Cosecant Functions
- More on Inverse Cotangent, Secant and Cosecant Functions
- Further on Inverse Cotangent, Secant and Cosecant Functions
- Problem1-Inverse Cotangent, Secant and Cosecant Functions
- Problem2-Inverse Cotangent, Secant and Cosecant Functions
- Domains and Ranges of Principal and Inverse Trigonometric Functions
- Problem1-Domains and Ranges of Principal andInverse Trigonometric Fun
- Problem2-Domains and Ranges of Principal andInverse Trigonometric Fun
- Problem3-Domains and Ranges of Principal andInverse Trigonometric Fun
- Problem4-Domains and Ranges of Principal andInverse Trigonometric Fun
- Problem5-Domains and Ranges of Principal andInverse Trigonometric Fun
- Problem6Domains and Ranges of Principal andInverse Trigonometric Func
- Inverse Trigonometric Identities
- More on Inverse Trigonometric Identities
- Further on Inverse Trigonometric Identities
- Addition and Subtraction Formulas
- More on Addition and Subtraction Formulas
- Problem-Addition and Subtraction Formulas
- Problem-More on Addition and Subtraction Formulas
- Introduction to Solutions of Trigonometric Equations
- Problem-Introduction to Solutions of Trigonometric Equations
- Solution of the Type SinA = k, Cos A = k and TanA = k
13.3: Solutions of Trigonometric Equations (Practice Test)
- Solution of General Trigonometric Equations
- Problem1-Solution of General Trigonometric Equations
- Problem2-Solution of General Trigonometric Equations
- Problem3-Solution of General Trigonometric Equations
- Solution of General Trigonometric Equations
- Solution of General Trigonometric Equations by Factorization
- Problem-Solution of General Trigonometric Equations by Factorization
- Solution of Trigonometric Equations by Trigonometric Identities
- Problem-Solution of Trigonometric Equations by Trigonometric Identiti
- Solution of Trigonometric Equations by Quadratic Formula
- Problem-Solution of Trigonometric Equations by Quadratic Formula
- Writing aSinA + bCosA in the Form r Sin(A + B )
- Solving aSinA + bCosA = c
- Trigonometric Equations Containing Principal Functions
- Problem-Trigonometric Equations Containing Principal Functions
- Applications of Inverse Trigonometric Functions
- Problem-Applications of Inverse Trigonometric Functions-1
- Problem-Applications of Inverse Trigonometric Functions-
Physics Class-XI
Chapter 1: The Scope of Physics (11 videos) (Practice Test)
1.1: Definition of Physics
- Introduction to Physics
1.2: Islam and Science
- Teaching of Islam and Science
1.3: Contribution to Physical Sciences by the Islamic World
- Contribution to Science By Muslim Scientists
1.4: Physics and Society
- Physics and Society
1.5: Measurement and the System of Units
- International Systems of Base Units
1.6: Measurement of Time
- The Measurement of Time
1.7: Basic SI Units
- International Systems of Base Units
- Dimensions of Physical Quantities
- More on Dimensions of Physical Quantities
- Problem on Dimensions of Physical Quantities
1.9: Significant Figures
- Introduction to Significant Figures
Chapter 2: Scalars and vectors (29 videos) (Practice Test)
2.1: Scalars
- Scalars and Vectors
2.2: Vectors
- Scalars and Vectors
2.3: Addition of Vectors (Practice Test)
- Addition of Forces
- Problem 1 on Vector Addition and Subtraction
- Problem 2 on Vector Addition and Subtraction
2.4: Multiplication of a Vector by a Number
- Multiplication of Vector by a scalar
2.5: Division of a Vector by a Number (Non Zero)
- Division of a Vector by a Number (Non Zero)
- Unit and Null vector
- Problem on Unit and Null vector
2.7: Free Vector
- Free vector
2.8: Position Vector
- Position and Equal Vectors
- Unit and Null vector
- Problem on Unit and Null vector
2.10: Properties of Vector Addition
- Commutative Property of Addition of Vectors
- Associative Law of Vector Addition
2.11: Resolution and Composition by Rectangular Components
- Rectangular Components of a Vector
2.12: Addition of Vectors by Rectangular Components
- Vector Addition by Rectangular Components
- Steps of vector Addition by Rectangular Components
- Problem2 on Vector Addition by Rectangular Components
- More on Problem2 on Vector Addition by Rectangular Components
2.13: The Dot Product
- Scalar or Dot product
- Problem1 on Scalar or Dot product
- Problem2 on Scalar or Dot product
2.14: Commutative Law for Dot Product
- Characteristics of Scalar Product
2.15: The Cross Product
- Vector or Cross Product
- Characteristics of Cross Product
2.16: Some Physical Examples of Vector Product
- Example of Vector product
2.17: Properties of the Vector Product
- Problem1 on Vector or Cross Product
- Problem2 on Vector or Cross Product
Chapter 3: Motion (38 videos) (Practice Test)
3.1: Displacement
- Difference between Distance and Displacement
3.2: Velocity
- Introduction to velocity
- Problem on Introduction to Velocity
3.3: Velocity from Distance-Time Graph
- The Displacement-Time Graph
3.4: Acceleration
- Introduction to Acceleration
- Average Acceleration and Retardation
- Problem on Introduction to Acceleration
3.5: Acceleration from Velocity – Time Graph
- Speed-time Graph
- Problem on Speed-Time Graph
3.6: Equations of Uniformly Accelerated Rectilinear Motion
- Review of Equations of Uniformly Accelerated Motion
- Problem on Review of Equations of Uniformly Accelerated Motion
3.7: Motion Under Gravity
- Motion of Freely Falling Bodies
- First Law of Newton
- Second Law of Newton
- Problem on Second Law of Newton
- Third Law of Newton
3.9: Motion of Bodies Connected by a String (Practice Test)
- Tension and Acceleration for Vertical Motion of Two Bodies
- Problem on Tension and Acceleration for Vertical Motion of Two Bodies
- Tension and Acceleration for Horizontal and Vertical Motion
- Problem on Tension and Acceleration for Horizontal and Vertical Motion
- Advanced Momentum
3.10: Momentum of a Bady
- Momentum and Newton’s Second Law of motion
3.11: Law of Conservation of Momentum (Practice Test)
- Law of Conservation of Momentum
- Problem1 on Law of Conservation of Momentum
- Problem2 on Law of Conservation of Momentum
3.12: Elastic Collision in One Dimension (Practice Test)
- Elastic and Inelastic Collisions
- Elastic Collision in one Dimension
- More on Elastic Collision in one Dimension
- Some Cases of Elastic Collision
- Problem on Elastic Collision in one Dimension
3.13: Friction
- Introduction to Friction
- Problem on Introduction to Friction
3.14: Coefficient of Friction (Practice Test)
- Static and Kinetic Friction
- Viscous Drag and Stokes Law
3.15: The Inclined Plane
- The Inclined Plane
- More on The Inclined Plane
- Particular Cases
- Problem on The Inclined Plane
Chapter 4: Motion in Two Dimension (24 videos) (Practice Test)
- Projectile Motion
- More on Projectile Motion
4.2: Maximum Height of the Projectile
- Features of Projectile
4.3: Range of the Projectile
- More on Features of Projectile
- problem1 on Features of Projectile
- problem2 on Features of Projectile
4.4: The Maximum Range
- More on Features of Projectile
4.5: Projectile Trajectory
- Projectile Trajectory
- More on Projectile Trajectory
4.6: Applications
- Application to Ballistic Missiles
- More on Applications of Projectile Motion
4.7: Uniform Circular Motion
- Uniform Circular Motion
4.8: Angular Displacement
- Angular Displacement
- More on Angular Displacement
4.9: Angular Velocity
- Angular Velocity
4.10: Angular Acceleration
- Angular Acceleration
4.11: Relation Between Angular and Linear Quantities
- Relation Between Angular and Linear Velocities
4.12: Tangential Velocity
- Relation Between Angular and Linear Velocities
4.13: The Period
- The Period
- Problem on Equation of Angular Motion
4.14: Centripetal Acceleration
- Centripetal Forces
4.15: Centripetal Force
- More on Centripetal Forces
- Problem on Centripetal Forces
4.16: Some Important Relations of Linear Motion and Angular Motion
- Some Important Relations of Linear Motion and Angular Motion
Chapter 5: Torque, Angular Momentum and Equilibrium (14 videos) (Practice Test)
5.1: Torque
- Introduction to Torque or Moment of a Force
- More on Torque
- Problem on More on Torque
5.2: Centre of Mass
- Center of Mass
- More on Centre of Mass
5.3: Equilibrium and Conditions of Equilibrium
- Introduction to Equilibrium
5.4: First Condition of Equilibrium
- Conditions for Equilibrium
5.5: Second Condition of Equilibrium
- Conditions for Equilibrium
5.6: Location of Axis
- Location of Axis
5.7: Angular Momentum
- Angular Momentum
- More on Angular Momentum
- Problem on Angular Momentum
5.8: Conservation of Angular Momentum of a Particle
- Law of Conservation of Angular Momentum
- Problem on Law of Conservation of Angular Momentum
Chapter 6: Gravitation (8 videos) (Practice Test)
6.1: Newton’s Law of Universal Gravitation
- Newton’s Law of Universal Gravitation
- More on Newton’s Law of Universal Gravitation
6.2: Mass and Average Density of Earth
- Mass and Average Density of Earth
6.3: Variation of g with Altitude and Depth
- Variation of g with Altitude and Depth
- More on Variation of g with Altitude and Depth
6.4: Weight
- Difference Between Mass and Weight
6.5: Weightlessness in Satellites
- weightlessness in Satellites and Gravity Free system
6.6: Artificial Gravity
- Artifical Gravity
Chapter 7: Work ,Power and Energy (26 videos) (Practice Test)
7.1: Work
- Introduction to Work
- More on Introduction to Work
- Problem on Work Done by a Constant Force
7.2: Work Done Against Gravitational Force
- Work done by Gravitational Field
- Introduction to Power
- Power and velocity
- Problem on Power and velocity
- Work Done By a Variable Forces
- Problem on Introduction to Work
7.4: Energy
- Introduction to Energy
- Problem on Law of Conservation of Energy
7.5: Potential Energy
- Potential Energy
7.6: Absolute P.E
- Absolute Potential Energy
- More on Absolute Potential energy
7.7: Interconversion of P.E and K.E (Freely Falling Body)
- Interconversion of Potential Energy and Kinetic Energy
- problem on Interconversion of Potential Energy and Kinetic Energy
7.8: Law of Conservation of Energy
- Advance law of Conservation of Energy
- Problem on Law of Conservation of Energy
- Examples of Conservation of Energy from Daily life
7.9: Various Sources of Energy (Practice Test)
- Energy from Non-Renewable Sources
- Energy from Tides
- Energy from Waves
- Solar Energy
- Geothermal Energy
- Wind Power
- Nuclear Energy and Electrical Energy
Chapter 8: Wave Motion and Sound (50 videos) (Practice Test)
8.1: Vibratory Motion
- Vibratory Motion
8.2: Motion Under Elastic Restoring Force (Hooke’s Law) (Practice Test)
- Hooks Law
- Simple Harmonic Motion
- More on Simple Harmonic Motion
8.3: Characteristics of SHM (Practice Test)
- SHM and Uniform Circular Motion
- Problem on SHM and Uniform Circular Motion
- Displacement
- Instantaneous Velocity
- Acceleration in Terms of ?
8.4: Energy of Particle Executing SHM
- Energy conservation in SHM
- More on Energy conservation in SHM
- Problem on Energy conservation in SHM
- Simple Pendulum
- Problem on Simple Pendulum
8.6: Generation of a Wave Pulse
- Generation of a Wave Pulse
8.7: Travelling Waves
- Progressive Waves
8.8: Transverse Wave
- Transverse periodic Waves
8.9: Analytical Treatment of Travelling waves
- Analytical Treatment of Travelling waves
- Introducing Ripple Tank
8.10: Energy in Waves
- Energy in Waves
- Stationary waves
- More on Stationary waves
8.12: Fundamental Frequency and Harmonics (Practice Test)
- Stationary waves in a Stretched String
- More on Stationary waves in a Stretched String
- Problem on Stationary Waves in Stretched String
8.13: Sonometer
- Sonometer
8.14: Longitudinal Waves
- Longitudinal Periodic Waves
8.15: Speed of Sound Waves
- Speed of Sound in Air
8.16: Laplace’s Correction
- Laplace’s Correction
8.17: Musical Sound and Noise (Practice Test)
- Musical Sound and Noise
- Characteristics of a Musical Sound
- Loudness of Sound
- Quality of Sound
- Pitch of Sound
- Sound Intensity and Sound Level
- More on Sound Intensity and Sound Level
8.18: Superposition of Sound Waves
- Principle of Superposition
- Beats
- More on Beats
- problem on Beats
- Acoustics
- More on Acoustics
- Doppler Effect
- Doppler Effect: When Source at Rest, Observer is Moving
- Doppler Effect: When Observer at Rest, Source is Moving
- Doppler Effect: When both Source and Observer ae Moving
- Problem on Doppler Effect
- Applications of Doppler Effect
- More on Applications of Doppler Effect
- More on Applications of Doppler Effect
Chapter 9: Nature of Light (27 videos) (Practice Test)
9.1: Dual Nature of Light
- Nature of Light
- More on Nature of Light
9.2: Wave Fronts, Huygen’s Principle (Practice Test)
- Wave Fronts
- Huygen’s principle
9.3: Interference of Light
- Interferance of Light Waves
9.4: Young’s Double-Slit Interference (Practice Test)
- Young’s Double slit Experiment
- More on Young’s Double slit Experiment
- More on Young’s Double slit Experiment
- More on Young’s Double slit Experiment
- problem on Young’s Double slit Experiment
9.5: Interference in Thin Films
- Interference in Thin Films
9.6: Newton’s Rings
- Newton’s Rings
9.7: The Michelson Interferometer
- Michelson’s Interferometer
- Michelson’s Interferometer
- Diffraction of Light
- Diffraction due to a Narrow slit
- Fresnel Diffraction
- Fraunhofer Diffraction
9.9: Diffraction Grating
- Diffraction Grating
- More on Diffraction Grating
- Problem on Diffraction Grating
- More on Problem on Diffraction Grating
9.10: Diffraction of X-rays Through Crystals
- Diffraction of X-Rays by Crystals
- More on Diffraction of X-Rays by Crystals
- Problem on Diffraction of X-Rays by Crystals
9.11: Polarization of Light Waves (Practice Test)
- Polarization
- Production and Detection of Plane Polarized Light
Chapter 10: Geometrical Optics (23 videos) (Practice Test)
10.1: Lenses
- Types of Lenses
- Image Formed by Convex Lens
- Image Formation by Concave Lens
10.3: The Thin Lens Formula (Practice Test)
- Convex Lense Formula
- More on Convex Lense Formula
- Concave Lense Formula
10.4: Combination of Thin Lenses
- Combination of Thin Lenses
10.5: Power of Lenses
- Power of a Lens
10.6: Lens Aberration
- Defects of Lenses
- Correction of Defects
10.7: Linear Magnification
- Linear Magnification of Lenses
- Simple Microscope
- Problem on Simple Microscope
10.9: Compound Microscope (Practice Test)
- Compound Microscope
- More on Compound Microscope
- Problem on Compound Microscope
- More on Problem on Compound Microscope
10.10: Telescope
- Astronomical Telescope
- Problem on Astronomical Telescope
10.11: Galilean Telescope
- Galilean Telescope
10.12: Terrestrial Telescope
- Terrestrial Telescope
10.13: Spectrometer
- Spectrometer
10.14: The Eye
- Human Eye
Chemistry Class-XI
Chapter 1: Introduction to Fundamental Concepts of Chemistry (59 videos) (Practice Test)
1.1: Introduction
- Chemistry
1.2: Significant Figures (Practice Test)
- Introduction to Significant Figures
- Rules to Find the Significant Digits in a Measurement
- Zero as Significant Figure
- Rounding Off the Numbers
- Rounding Off the Numbers (continued)
- Rounding Off a Number to a Given Number of Decimal Places
- More on Rounding Off a Number
- Addition and Subtraction of Significant Figures
- Introduction to Scientific Notation
1.3: Use of Exponents (Logarithms) (Practice Test)
- Logarithm Definition
- Characteristic & Mantissa of Logarithm
- How to Find Characteristic of Given Number
- Finding Mantissa of Number by Log Table
- Introduction to Anti-Logarithms
- Common Logarithm
- Product Law of Logarithm
- Power Law of Logarithm
- Quotient Law of Logarithm
- Applications of Logarithm Laws in Calculations
1.4: Error and Deviation (Practice Test)
- Errors and Uncertainty in Measurement
- Relative Atomic Mass in Grams
- Relative Molecular Mass (Mr)
- Formula mass
- Atomic Number and Mass Number
- Relative atomic mass and Atomic mass unit
- Average Atomic Masses
- Empirical formula
- The Empirical Formula from the Percentage Composition
- Molecular formula
- More on Molecular Formula
- Empirical formula-covalent and ionic compound
- The Empirical Formula from the Percentage Composition
- Calculating Percentage Composition
- Empirical Formula from Combustion Analysis
- Empirical Formula from Combustion Analysis (continued)
- Calculating Empirical & Molecular Formula
- Calculating Empirical Formula from Combustion Analysis
- Determining Empirical Formula of a Compound
1.7: Mole and Avagado’s Number (Practice Test)
- Avogadro’s Number
- More on Avogadro’s Number
- Mole
- More on Concept of Mole
- Mole-Mass Calculations
1.8: Calculations Based on Chemical Equations (Practice Test)
- Stoichiometry
- Mole-Mass Calculations
- Calculating Moles from Mass
- Calculating Mass from Moles
- Calculating Mass in Grams and Moles
- Mole-Particle Calculations
- More on Mole-Particle Calculations
- Calculating Mass in Grams of a Single Atom
- Calculating Number of Ions in the Compounds
- Calculating Number of Particles from Mass
- Calculating Mass and Moles of an Element from a Compound
- Limiting Reactants
- Importance of Limiting Reactants
- More on Importance of Limiting Reactants
- Calculating Limiting and Excess Reactants
Chapter 2: The Three States of Matter (Gases, Liquids and Solids) (49 videos) (Practice Test)
2.1: Kinetic Theory
- Postulates of Kinetic Molecular theory of Liquids
- Diffusion and Effusion in Gases
- Effect of Molecular Mass on the Rate of Diffusion
- Units of Pressure
- Determining Pressure of a Gas
- Boyle’s Law of Gases
- Experimental Verification of Boyle’s Law
- Graphical Explanation of Boyle’s Law
- Charles’s Law
- Experimental Verification of Charles’s Law
- Derivation of Absolute Zero
- Graphical Explanation of Charles’ Law
- Dalton’s Law of Partial Pressures
- Calculation of Partial Pressure of a Gas
- Applications of Dalton’s Law of Partial Pressures
- Avogadro’s Law
- Demonstration of Graham’s Law
- General Gas Equation
- Ideal Gas Constant R
- Density of an Ideal Gas
2.5: Change of State (Liquefaction)
- General Principle of Liquefaction
- Shape and Volume of Liquids
- Compressibility and Ease of Flow of Liquids
- Evaporation in Liquids and its Uses
- Evaporation
- Viscosity
- Measurement of Viscosity
2.8: Surface Tension
- Surface tension
- Measurement of Surface Tension
2.9: Vapour Pressure
- Vapour Pressure
2.10: Change of State – Boiling
- Boiling Points of Liquids
- Shape and Volume of Solids
- Compressibility and Ease of Flow of Solids
- Melting
- Rigidity and Melting point of Solids
- Effect of Impurities on Melting Point of Solids
- Sublimation of solids
- Density in Solids
- Diffusion in Solids
- Amorphous Solids
- Crystalline Solids
- Crystal Lattice
- Unit Cell
- Crystals and Their Classification
- More on Crystals and Their Classification
2.13: Isomorphism
- Isomorphism
2.14: Polymorphism
- Polymorphism
2.15: Change of State (Melting or Fusion) (Practice Test)
- Effect of Impurities on Melting Point of Solids
- The Latent Heat of Fusion
Chapter 3: The Atomic Structure (66 videos) (Practice Test)
3.1: Faraday’s Experiment – Passage of Electricty Through Solutions
- Introduction to Electrochemistry
- Concepts of Electrolytes
3.2: Crookes’s Tube or Discharge Tube Experiments (Practice Test)
- Discovery of Electron(Cathode rays)
- Properties of Cathode rays
- More on Properties of Cathode rays
3.3: Positive Rays – Protons (Practice Test)
- Discovery of Proton
- Properties of positive rays
3.4: Radioactivity – Confirmation of Electrons and Protons (Practice Test)
- Concept of Radioactivity
- Nature of Radioactivity
3.5: Chadwick Experiment – Discovery of Neutrons (Practice Test)
- Discovery of Neutron
- Properties of Neutron
- More on Properties of Neutron
3.6: Spectroscopic Experiments
- Instrumental Methods of Analysis
3.7: Planck’s Quantum Theory – Quantization of Energy (Practice Test)
- Planck’s Quantum Theory
- More on Planck’s Quantum Theory
- Spectrum
- Continuous Spectrum
- Line Spectrum
3.9: Rutherford’s Model of an Atom (Practice Test)
- Rutherford’s Atomic Model
- Advantages and Defects in Rutherford’s Atomic Model
3.10: X-Rays and Atomic number (Practice Test)
- X-Rays
- Types of X-rays
- Study of X-Rays by Moseley
- Importance of Moseley’s Law
3.11: Bohr’sTheory
- Bohr’s Atomic Theory
3.12: Bohr’sTheory and Hydrogen Atom (Practice Test)
- Derivation of Radius of Revolving Electron in nth Orbit
- More on Derivation of Radius of Revolving Electron in nth Orbit
- Determining Radius of an Orbit Using Bohr’s Equation
3.13: Determination of Energy (Practice Test)
- Energy of Revolving Electron
- More on Energy of Revolving Electron
- Energy of Electron in nth Orbit
- Determination of nth Orbit Energy Using Bohr’s Equation
3.14: The Hydrogen Spectrum (Practice Test)
- Hydrogen Spectrum
- More on Hydrogen Spectrum
- Calculations of Frequency of Photons by Bohr’s Theory
- Calculations of Wave Numbers of Photons by Bohr’s Theory
- Lyman Series
- Balmer Series
- Paschen Series
- Brackett series
- Pfund series
3.15: Heisenberg’s Uncertainty Principle
- Heisenberg’s Uncertainty Principle
3.16: Energy Levels and Energy Sub-Levels
- Concept of Orbital
3.17: Orbitals and Quantum Numbers (Practice Test)
- Quantum Numbers
- Principal Quantum Numbers (n)
- Azimuthal Quantum Numbers (l)
- Magnetic Quantum Numbers (m)
- Spin Quantum Numbers (s)
- Quantum Numbers of Electrons
- Calculation of Combination of Quantum Numbers
3.18: Pauli’s Exclusion Principle (Practice Test)
- (n+l) Rule
- Aufbau Principle
- Pauli’s Exclusion Principle and Hund’s Rule
3.19: Shapes of Orbitals (Practice Test)
- Shape of s-Orbitals
- Shapes of p-Orbitals
- Shapes of d-Orbitals
3.20: Electronic Configuration
- Electronic configuration
- More on Electronic configuration
- Atomic Size and Atomic Radius
- Trend of Atomic Size and Atomic Radius in Periodic Table
3.22: Ionization Potential (Practice Test)
- Ionization Energy
- Trend of Ionization Energy in Periodic Table
- Electron Affinity
- Trend of Electron Affinity in Periodic Table
- Electronegativity
- Trend of Electronegativity in Periodic Table
Chapter 4: Chemical Bonding (31 videos) (Practice Test)
4.1: Energetics of Bond Formation
- Energetics of Bond Formation
4.2: Electrovalent or Ionic Bond (Practice Test)
- Ionic Bond
- More on Ionic Bond
- Covalent Bond
- Types of Covalent Bonds
- Single Covalent Bond
- Double Covalent Bond
- Triple Covalent Bond
- Polar Covalent Bond
- Non polar Covalent Bond
4.4: Co-ordinate or Dative Covalent Bond
- Dative Covalent Bond or Co-ordinate Covalent Bond
4.5: Dipole Moment
- Dipole Moment
4.6: Ionic Character of Covalent Bond (Practice Test)
- Ionic Character and Bond Energy
- More on Ionic Character and Bond Energy
4.7: Bond Energy
- Bond Energy
4.8: Sigma and Pi Bonds
- Strength of Sigma and Pi Bonds
- MOT Diagramsfor O2 and F2
- Sp3 Hybridization
- More on Sp3 Hybridization
- Bonding and Structure of Ammonia
- Bonding and Structure of Water
- sp2-Hybridization; Bonding and Structure of Boron Trifluoride
- Sp2 Hybridization
- Sp Hybridization
4.10: Shape of Simple Molecules (Practice Test)
- Valence Shell Electron Pair Repulsion Theory
- Molecules Containing Two Electron Pairs (AB2 Type) and AB3 Type
- AB2E and AB3 Type With Multiple Bonds
- AB4 Type With No Lone Pairs AB3E1 Type and AB2E2
- Molecules Containing Five Electron Pairs (AB5 Type)
- Molecules Containing Six Electron Pairs (AB6 Type)
4.11: Hydrogen Bond
- Hydrogen Bonding in Paints, Dyes and Textile Materials
Chapter 5: Energetics of Chemical Reactions (14 videos) (Practice Test)
5.1: Thermodynamic Terms (System, Surroundings and States) (Practice Test)
- Exothermic Reactions
- Endothermic Reactions
- Some Examples of Endothermic and Exothermic Reactions
- Intensive Properties
- Extensive Properties
5.2: First Law of Thermodynamics (Energy Conservation) (Practice Test)
- work and Heat
- First Law of Thermodynamics
- Enthalpy
- Energy profile Diagram for Exothermic Reactions
- Energy profile Diagram for Endothermic Reactions
- Introduction to Thermochemistry
5.5: Hess’s Law of Constant Heat of Summation
- Hess’s Law of Constant Heat Summation
- Verification of Hess’s Law
5.6: Heat of Formation
- Enthalpy of Formation
Chapter 6: Chemical Equilibrium (28 videos) (Practice Test)
6.1: Extent to Which Reaction Proceeds (Practice Test)
- Extent of Reaction
- Concept of Chemical Reaction
- Chemical reactions and its types
- Irreversible Chemical Reactions
- Reversible Chemical Reactions
6.2: Equilibrium State
- Dynamic Chemical Equilibrium
6.3: The Law of Mass Action (Equilibrium Law) (Practice Test)
- Concept of Law of mass action
- Derivation of Law of Mass Action
- More on derivation of law of mass action
6.4: Determination of Equilibrium Constant
- Equilibrium Constant Kc and its Units
- Calculating the Equilibrium Constant for Reversible Reaction
- Calculate the Equilibrium Concentration
6.5: Applications of the Law of Equilibrium (Practice Test)
- Conditions and Recognition of Chemical Equilibrium
- Applications of Equilibrium Constants; Direction of Reaction
6.6: Factors Affecting Balance of Chemical Equilibrium (Le Chatelier’s Principle) (Practice Test)
- Le-Chatelier’s Principle; Effect of Change in Concentration
- The Effect of Conditions on the Position of Equilibrium
- Effect of Change in Pressure or Volume
- Quantitative Effect of Volume on Equilibrium Position
- Effect of Change in Temperature
- Effect of Catalyst on Equilibrium Constant
6.7: Important Industrial Applications of Le Chatelier’s Principle (Practice Test)
- The Haber’s Process
- More on Haber process
- Preparation of Sulphuric Acid through Contact Process
- Solubility Product
- Determination of Solubility Product from Solubility
- Determination of Solubility from Solubility Product
6.9: Common Ion Effect
- Common Ion Effect
- Some Examples of Common Ion Effect
Chapter 7: Solutions and Electrolytes (39 videos) (Practice Test)
7.1: Concentration of Solutions (Practice Test)
- Calculations Related to Concentration of Solutions
- Finding Concentration of the Solution
7.1: Hydration
- Hydration
7.3: Hydrolysis
- Hydrolysis
- More on Hydrolysis
7.4: Theory of Ionization (Practice Test)
- Theory of Ionization
- More on Theory of Ionization
7.5: Conductance of Electric Current Through Solutions (Practice Test)
- Introduction to Electrolysis
- Explaining Electrolysis
7.6: Electrode Potential (Practice Test)
- Electrode Potential
- Standard Hydrogen Electrode
- Measurement of Electrode Potential
- Electrochemical Series
- Prediction of Feasibility of a Chemical Reaction
- Oxidation State
- More on Oxidation State
- Finding out the Oxidation Numbers
7.8: Oxidation and Reduction Reactions
- Reduction and Oxidation at the Same Time
7.9: Balancing Oxidation Reduction Equations (Practice Test)
- Balancing of Redox Equations by Ion-Electron Method
- Balancing of Redox Equations in Acidic Medium by Ion-Electron Method
- Balancing of Redox Equations in Basic Medium by Ion-Electron Method
- Indicators
- More on Indicators
7.11: Strength of Acids and Bases (Practice Test)
- Strong Acids
- Weak Acids
- Dissociation of Acids
- Dissociation of Bases
- Identifying Weak or Strong Acids or Bases
- Concept of pH Scale
- Measuring of pH by Universal Indicator
- Measuring of pH by pH Meter
- Calculating pH
- Buffer Solutions
- Buffer Action
- Calculation of pH of a Buffer
- More on Calculation of pH of a Buffer
- Buffer Capacity
7.14: Neutralization
- Neutralization Reaction
- More on Neutralisation
Chapter 8: Iuntroduction to Chemical Kinetics (14 videos) (Practice Test)
8.1: Rate and Velocity of Reaction
- Rate of Chemical Change
- Measuring the Speed of Reaction with the Help of a Graph
8.2: Rate Constant and Rate Expression (Practice Test)
- Specific Rate Constant or Velocity Constant
- Order of Reaction
- Examples of Reactions Showing Different Orders
8.3: Types of Reaction Based on Reaction Velocity (Practice Test)
- Rate of Chemical Change
- Activation Energy
- More on Activation Energy
8.4: Determination of Rate of Reaction (Practice Test)
- Determination of the Rate of a Chemical Reaction
- Physical Methods, Spectrometry and Electrical Conductivity
- Dialatometric, Refractrometric and Optical Rotation Method
- Chemical Method
8.5: Factors Affecting Rate of Reaction (Practice Test)
- Factors Affecting Rates Of Reactions, Nature of Reactants
- Effect of Concentration on Speed of Reaction
Biology Class-XI
Chapter 1: Introduction (14 videos) (Practice Test)
1.1: Biology and Its Major Fields (Practice Test)
- Introduction to Biology
- Zoology,Botany, Microbiology
- Five Kingdom System
- Taxonomy Palaeontology Environmental Biology
- Biotechnology, Biochemistry
1.2: Levels of Biological Organization (Practice Test)
- Level of Organization
- Organelle and Cell Level, Tissue
- Organ and Organ System Level
- Individual level, Population level
- Biological Method
- More one Biological Method
- Law Principles
1.4: Applications of Biology for The Welfare of Mankind (Practice Test)
- Immunization and Vaccination
- Antibiotics
Chapter 2: Biological Molecules (40 videos) (Practice Test)
2.1: Introduction to Biochemistry (Practice Test)
- Introduction to BioChemistry
- Cell
- Relationship between Structure and Function of Molecules
- Hydrogen Bonding
- Water as Universal Solvent
- More on Physical Properties of Water
2.3: Organic Molecules
- Condensation
- Hydrolysis
- Importance of Carbon
- More on Importance of Carbon
- Structure of Amino Acid
- Peptide Linkage
- Structure of Protein
- More on Structure of Protein
- Classification of Protien
- Function of Protien
- Carbohydrates
- Classification of Carbohydrates
- Monosaccharides
- Disaccharides
- Polysaccharides
- Functions of Carbohydrates
- Lipids Characteristics
- Classification of Lipids
- Saturated and Unsaturated Fats
- Waxes and Terpenoids
- Phospholipids
- Steroids and Carotenoids
- Structure and Role of Nucleic Acids
- Classification of Nucleotide
- Mononucleotide
- Nucleotide and Polynucleotide
- DNA as Hereditary Material,vehicle
- More on DNA as Hereditary Material, vehicle
- Watson-Crick Model of DNA
- RNA as a Carrier of Genetics Information
- Transcription
- Translation
2.5: Conjugated Molecules (Practice Test)
- Conjugated Molecules, Glyco-Protien, Glyco-Lipids
- Lipo-Protien, Nucleo-Protien
Chapter 3: Enzymes (10 videos) (Practice Test)
3.1: Energy of Activation (Practice Test)
- Enzyme
- Mechanism of Enzymes
3.2: Characteristics of Enzymes
- Characteristics of Enzymes
- Lock and Key Model
- Induecd Fit Model
3.3: Types of Enzymes
- Three Groups of Enzymes
3.4: Factors Affecting Enzyme Activity (Practice Test)
- Factors Effecting the Rate of Enzyme Action
- Inhibitors
- Feedback Inhibition
- Uses of Enzymes
Chapter 4: The Cell (32 videos) (Practice Test)
4.1: Cell as Basic Unit of Life (Practice Test)
- Cell
- History of Formulation of Cell Theory
- Working of TEM
- Comparisonof Different Types of Microscope
- Workingof SEM
- More Difference between Prokaryotic and Eukaryotic Cells
- Cell Membrane
- More on Cell Membrane
- Cell wall
- More on Cell wall
- Nucleus
- More on Nucleus
- Chromosomes, Nucleolus
4.4: Cytoplasmic Organelles and Membrane System (Practice Test)
- More on Cytoplasm, Cell organelles
- Endoplasmic Reticulum (ER),Ribosomes
- More on Endoplasmic Reticulum (ER)
- Mitochondria
- Mitochondria Convert Energy
- Golgi Apparatus and Lysosomes
- More on Golgi Apparatus
- Lysosomes
- Storage Diseases
- Plastids
- More on Plastids
- Chloroplast Convert Energy
- Peroxisomes and Glyoxisomes
- Cytoplasm, Cytoskeleton
- Cytoskeleton
- Centrioles
- Ribosomes
- Vacuoles
- More on Vacuoles
Chapter 5: Variety of Life (26 videos) (Practice Test)
- Aims and Basis of Classification
- Taxonomic Hierarchy
- Binomial Nomenclature
- Two Kingdom Classification System
- Five Kingdom System
- Viruses, Size, Shape and Characteristics
- Viruses living or Non-living
- Characteristics of Virus
- More on Structure of Viruses, Bacteriophage
- Classification of Virus
- Double, Small, Medium Genome Viruses
- Lytic Cycle
- Lysogenic Cycle
- Viroids
- Prions
- Poliomyelitis
- Structure of Influenza
- Small Pox, Mumps, Influenza
- Herpes
- Classification of Viruses, Enveloped,Reterovirus
- Cotton Leaf Curl Disease
- Symtomps and Treatment of AIDS
- Structure of HIV, Retrovirus
- Life Cycle of HIV
- Hepatitis A, B, C
- Hepatitis D, E, F
Chapter 6: The Kingdom Prokaryotae (19 videos) (Practice Test)
- Discovery of Bacteria
- Structure of Bacteria Capsule, Slime and Pilli
- More on Structure of Bacteria
- Cell Wall of Bacteria
- Cell Membrane, Cytoplasmic Matrix
- Kinds of Bacteria
- Flagella and Its Structure
- Occurrence of Bacteria
- Mode of Nutrition in Bacteria
- Respiration and Growth in Bacteria
- Reproduction in Bacteria
- Transformation and Transduction
6.2: Importance and Control (Practice Test)
- Beneficial Bacteria ,Harmful Bacteria
- Bacterial Diseases in Man
- Control of Bacteria
6.3: Immunization and Vaccination
- Immunization and Vaccination
6.4: Uses and Misuse of Antibiotics (Practice Test)
- Antibiotics
- Cyanobacteria
- Nostoc
Chapter 7: The Kingdom Protoctista (7 videos) (Practice Test)
- General Characteristics of Protists
- Chlorella and Ulva
- Euglenoids, Dinoflagellates and Diatoms
- Fungi like Protists: Myxomycota
- oomycota
7.3: Animals like Protist (Practice Test)
- Animal like protists
- Life Cycle of Plasmodium
Chapter 8: The Kingdom Fungi (14 videos) (Practice Test)
- Characteristics of Fungi
- Characteristics of Fungi
- Mode of Nutrition in Fungi
- Mutualistic Fungi
- Mycorrhizae
- Edible Fungi
- Reproduction in Fungi
8.2: Classification of Fungi (Practice Test)
- Classification of Fungi, Zygomycota
- Ascomycota
- Life Cycle of Smut
- Basidiomycota
- Deuteromycota
8.3: Land Adaptation of Fungi
- Land Adaptation of Fungi
8.4: Economic Importance (Practice Test)
- Importance of Fungi
Chapter 9: The Kingdom Plantae (34 videos) (Practice Test)
9.1: Classification of Plantae (Practice Test)
- General Characteristics
- Classification of Plantae
- Division Bryophyta
- The Land Adaptions of Bryophytes
- Classification Liverworts
- Moss
- Life Cycle of Moss
- Hornworts
- Protection of Reproductive Cells
- Division Tracheophytes
- Psilopsida
- Evolution of Leaf
- Lycopsida
- Evolution of Seed Habit
- Sphenosida
- Pteropsida
- Life Cycle of Adiantum
- Difference between Mosses and Fern
- General Characters Spermatophytes
- Seed bearing Vascular Plants
- Cycads
- Ginkgo
- Conifers
- Sporophytes of Pinus
- Gametophytes of Pinus
- Life Cycle of Flowering Plants
- Seed and fruit Formation
9.4: Spermopsida as Successful Group of Land Plants
- Spermopsida as Successful Group of Land Plants
- Rosaceae
- Solanaceae
- family papilionaceae
- Caesailpiniaceae
- Mimosaceae
- Poaceae
Chapter 10: The Kingdom Animalia (48 videos) (Practice Test)
10.1: Animal Classification (Practice Test)
- Characteristics of Animals
- More on Characteristics of Animals
- Criteria for Animal Classification
- Embryo, Embryology and Cleavage
- Diploblastic and Triploblastic Organization
- Grade Radiata, Bilateria
- Phylum Porifera,Sycon
- Generalized Sponge Anatomy
- Phylum Coelenterata
- Advance Phylum Coelenterata
10.4: Phylum Platyhelminthes (Practice Test)
- Hydra, Jelly Fish
- Phylum Platyhelminthes
- More on Phylum Platyhelminthes
- Liver Fluke, Tapeworm
10.5: Phylum Nemathelminthes (Practice Test)
- Phylum Nematoda, Ascaris
- More on Phylum Nematoda
- Phyllum Annelida, Leech, Earth worm
- More on Phylum Annelida
- Classes of Annelida
- Round Worms
- Diseases Caused by Pathogenic Worms, Thread Worms
- Phylum Mollusca, Fresh Water Mussel, Snail
- More on Phylum Mollusca
- Phylum Arthropoda
- More on Phylum Arthropoda
- Classification of Arthropods
- Metamorphosis
- Some Insects being the Vectors of Diseases
10.9: Phylum Echinodermata (Practice Test)
- Echinodermata, Star Fish, Sea Urchin
- Phylum Hemichordata
- More on Phylum Echinodermata
- General Features of Chordates
- Notochord, Pharyngeal, Hollow Dosral Nervous System
- Subphylum, Uro and Cephalo Chordates
- Class Pisces, Fishes, Rohu
- Subphylum Vertebrata (Craniata), Jawless Fish
- Class Chondrichthyes
- Class Osteichthyes
- Adaptatios in Fishes to Aquatic Life
- Class Amphibia, Frog, Toad
- Class Reptilia, Wall Lizard, Snake
- Class Aves, Birds
- Flying Birds and Running Birds
- Class Mammalia, Mammals
- Sub-Class Prothotheria and Metatheria
- Sub-Class Eutheria
- Egg laying and Pouched Mammals
- Placental Mammals
Chapter 11: Bioenergenetics (37 videos) (Practice Test)
11.1: Need for Energy in Living Organisms (Practice Test)
- Need for Energy in Living Organisms
- Role of ATP as Energy Currency
- Comparison of Photosynthesis and Respiration
- Photosynthesis
- Role of Photosynthetic Pigments, Carotenoids
- Role of Chlorophyll and Light
- Chlorophyll , Chemical Structure of Chlorophyll
- Water and Photosynthesis
- Role of Carbon Dioxide and Water in Photosynthesis
11.3: Process of Photosynthesis (Practice Test)
- Mechanism of Photosynthesis
- More on Photosynthesis
- Light Reaction
- More on Light Reaction
- Noncyclic Phosphorylation
- Cyclic Phosphorylation
- Synthesis of ATP, Chemiosmosis
- Dark Reaction
- More onDark Reaction
- Alternative Mechanisms of Carbon Fixation
- Malic Acid, C4 plants with Kranz Anatomy
- CAM plants
11.4: Cellular Respiration: As Energy Releasing Process (Practice Test)
- Respiration
- Oxidation Phosphorylation
- Aerobic Respiration
- Types of Anaerobic Respiration (Fermentation)
- Fermentation
- Importance of Fermentation
- Glycolysis
- Mechanism of Respiration, Glycolysis
- Types of Fermentation
- Oxidation of Pyruvic Acid and Krebs Cycle
- Respiratory chain
11.5: Energy Flow through the Ecosystem (Practice Test)
- Unidirectional Energy Flow
- Trophic Levels
- Pyramids of Energy
- Efficiency of Energy Flow and its Significance
- Advantages of Short Food Chains
Chapter 12: Nutrition (55 videos) (Practice Test)
- Basic definitions
12.2: Autotrophic and Heterotrophic Nutrition
- Autotrophic and Heterotrophic Nutrition
12.3: Autotrophic Nutrition (Practice Test)
- Autotrophic and Heterotrophic Organisms
- Phototropic Nutrition
- Chemotrophic Nutrition
12.4: Mineral Nutrition in Plant (Practice Test)
- Minerals Requirement in Plants
- Macronutrients, Micronutrients
- Role of Nitrogen and Magnesium
- Minerals Requirement, Nitrogen
- Minerals Requirement, Phosphorus
- Minerals Requirement, Potassium
- Minerals Requirement, Magnesium
12.5: Heterotrophic and Special Mode of Nutrition in Plants (Practice Test)
- Parasitic and Saprophytic Nutrition
- More on Heterotrophic Nutrition, Parasitic and Saprophytic Nutrition
- Insectivorous Plants and Symbionts
- More on Insectivorous Plants
12.6: Heterotrophic Nutrition in Animals (Practice Test)
- Carnivores, Herbivores, Omnivores
- Frugivores,Insectivore, Parasitic, Saprozoic
- Parasitic Nutrition
- Parasitic Nutrition classification
- More on Hetrotrophic Animal Nutrition, Carnivores, Herbivores, Omniv
12.7: Digestion and Absoption
- Mechanical and Chemical Digestion
12.8: Nutrition in Amoeba, Hydra, Planaria and Cockroach (Practice Test)
- Digestion in Amoeba
- Digestion in Hydra
- Digestion in Planaria
- Digestion in Cockroach
12.9: Human Digestive System (Practice Test)
- Carbohydrates
- Digestion in Human
- More on Digestive System of Man
- Mechanical and Chemical Digestion
- Oral Cavity
- Teeth , Structure of Tooth
- Types of Teeth
- The Causes of Tooth Decay and its Prevention
- Pharynx and Oesophagus
- Stomach Digestion
- Digestion in Duodenum and Enzyme Precursors
- More on Jejunum
- Absorbtion of Digested from lumen of Intestine
- Absorbtion of Protein in Small Intestine
- More on Digestion and Absorption of Food in the Small Intestine
- More onLarge Intestine
- Excretory Organs, Liver
- Functions of Liver
- Enzymes
- Pancreas as an Exocrine Gland
- Large intestine
12.11: Disorders of the Gastro-Intestinal Track (Practice Test)
- Dyspepsia, Food Poisoning
- Obesity, Anorexia Nervosa
- Bulimia Nervosa, Ulcer
- Diarrhoea, Vomiting
- Enterobiasis
- Appendicitis
- Mal-nutrition,Under-nutrition, Over-Nutrition
- Constipation, Ulcer
Chapter 13: Gaseous Exchange (40 videos) (Practice Test)
- Need of Respiratory Gas Exchange
- Need of Respiratory Gas Exchange
- Advantages and Disadvantages of Gas Exchange in Air and Water
- Air and Water as Respiratory Medium
13.2: Gaseous Exchange in Plants (Practice Test)
- Gaseous Exchange in Plants
- Gaseous Exchange in Plants
- Structure of Stomata
- Cuticalar Transpiration
- Stomatal Transpiration
- Lenticular Transpiration
- Photorespiration
13.3: Gaseous Exchange in Animals (Practice Test)
- Properties of Respiratory Surface
- Respiration in Hydra
- Respiration in Earthworm
- Gaseous Exchange in Insects
- Gaseous Exchange through Gills and Skin
- Respiration in Frog
- Cutaneous respiration in frog
- Gaseous Exchange through Lungs
- Respiration in Birds
13.4: Respiratory System of Man (Practice Test)
- The Air Passageway
- The Lungs
- Structure of Human Respiratory System
- The Mechanism of Breathing
- Mechanism of Breathing in man
- Inspiration
- Expiration
- Rate of Breathing
- Lung Cancer
- Bronchitis, Emphysema
- Pulmonary Tuberculosis (T.B)
- Pneumonia, Asthma
13.6: Transport of Gases in Man (Practice Test)
- Role of Respiratory Pigments
- Factors Affecting The Capacity of Heamoblobin To Combine With O2
- Lungs Volumes and Capacities
- Transport of Oxygen
- Transport of (CO2)
- As Carboxyhaemoglobin, AS a Dissolved Carbon Dioxide in Plasma
- Myoglobin
- Haemoglobin
Chapter 14: Transport (132 videos) (Practice Test)
14.1: Introduction
- Need of Transport of Materials
14.2: Transport in Plants (Practice Test)
- Transport in Plants
14.3: Uptake and Transport of Water and Minerals (Practice Test)
- Diffusion, Facilitated Diffusion
- More on Diffusion, Active Transport,Facilitated Diffusion
- Passive Transport and Active Transport
- Imbibition
- Water as a Medium of Transportation
- Osmosis
- More on Osmosis
- Water Potentials
- More on Water Potential
- Solute Potential
- Plasmolysis
- Plasmolysis And Deplasmolysis
14.4: Water and Minerals Uptake by Roots (Practice Test)
- Absorption by Roots
- Apoplast Pathway
- Symplast Pathway
- Vacuolar Pathway
- Ascent of Sap
- More on Ascent of Sap
- Xylem
- Root Prssure , Root Prssure Theory
- Guttation
- Cohesion and Tension Theory
- Transpiration
- Stomatal Transpiration
- Cutical Transpiration
- Lenticular Transpiration
- Mechanism of Stomatal Transpiration
- Structure of Stomata
- Opening and Closing of Stomata
- Influx of K+ Ions
- Factors Affecting the Rate of Transpiration
- Transpiration is Necessary Evil
14.7: Translocation of organic solutes (Practice Test)
- Translocation
- Phloem
- Source- Sink Movement
- Pressure Flow Hypothesis
14.8: Transport in Animals (Practice Test)
- Transportation in Hydra
- Transportation in Planaria
14.9: Circulatory System (Practice Test)
- General Characteristics of Circulatory System
- Open Circulatory System
- Closed Circulatory System
- Difference Between Open and Closed Circulatory System
- single circuit circulation
- Double Circuit Circulation
- Pulmonary and Systemic Circulation
- More on Pulmonary Circulation
- More on Systemic Circulation
- Evolution of Vertebrate Heart (Fish)
- Evolution of Vertebrate Heart (Amphibians)
- Evolution of Vertebrate Heart (Reptiles)
- Evolution of Vertebrate Heart (Birds & Mammal)
- Transportation in Man
- Plasma
- More on Plasma
- Blood Cells and Cell Like Bodies
- Role of Respiratory Pigment (Haemoglobin)
- White Blood Cells and Platelets
- White Blood Cells
- Agranular Leukocytes
- Granular Leukocytes
- Platelets
- Functions of Blood
- Functions of Blood
- More on Functions of Blood
- Leukaemia
- Thalassaemia
- Human Heart
- Structure of Human Heart
- More on Structure of Human Heart
- More on Structure of Human Heart
- Valves of Heart
- More on Valves of Heart
- Circulation of Blood inside Heart
- Passage of Blood Through Heart
- Cardiac Cycle
- HeartBeat and Pulse Rate
- Heartbeat
- Reason For Slight Delay Between Atrial & Ventricular Contraction
- S-A Node, Pace Maker, AV Node
- Artificial Pacemaker
- Blue Babies or Cyanosis
- Blood Vessels, Arteries
- Capillaries, Veins
- More on Blood Vessels, Arteries
- Veins
- Valves in Veins
- Capillaries
- Arterioles
- Control of Capillary Beds
- Comparison of Arteries, Capillaries and Veins
- Role of Precapillary Sphincter
- Blood Pressure, Measuring of Blood Pressure
- Rate of Blood Flow
- Lymphatic System
- Lymphatic System of Man
- Lymph Nodes
- Position of Lymph Nodes
- Lymph Nodes in Pelvic, Abdominal & Thoracic Cavity
- lymphatic vessels
- Lymphatic capillaries
- Diseases of Lymphatic System
- Functions of Lymphatic System
- Oedema
14.14: Cardiovascular Disorders (Practice Test)
- Atherosclerosis and Arteriosclerosis
- More on Atherosclerosis
- Hypertension
- Thrombosis
- Myocardial Infarction
- More on Myocardial Infarction
- Stroke
- Immunity, Immunology, Immune System
- Inborn and acquired immunity
- First Line of Defence
- Second Line of Defence
- Killing Cells of Blood, Macrophages
- Neutrophils, Natural Killer Cells
- Complement System
- Inflammatory Response as one of the non specific Defenses
- Pyrexia and Pyrogens
- Ways the Fever kills Microbes
- The Specific Defences (Third Line of Defence )
- Cell Mediated Immunity (CMI)
- Antibody Mediated Immune Response
- b-Lymphocytes
- T-Lymphocytes
- Interferon
- Primary and Secondary Immune Response
- Difference Between Primary and Secondary Immune Response
- Types of Immunity,Active Immunity
- Passive Immunity
Statistics Class XI
Chapter 1: Representation and Exploration of Data (36 videos) (Practice Test)
1.1: Exploring and Interpreting Data (Practice Test)
- Data
- Exploring Data
- Interpretation of Data
- Introducing Parameters and Statistic
- Basic Terminologies in Statistics
- Accuracy of Measurements & Errors
- Qualitative/Quantitative Data
- Types of Data(Continuous/Discrete)
- Types of Data By Source
1.2: Frequency Distribution (Practice Test)
- Construction of Continuous Frequency Table
- Problem 1: Construction of Continuous Frequency Table
- Discrete Frequency Distribution
- Cumulative Frequency Distribution
- Charts/Diagrams
- Graphical Representation of Data-Horizontal/Vertical Bar Graph
- Graphical Representation & Interpretation of Data-Multiple Bar Graph
- Component Bar Chart
- Percentage Component Bar Chart
- Composite Bar Chart
- Graphical Representation & Interpretation of Data- Pie Graph
- Pictograms
- Graphs
- Interpretation of Data Through Graphs
- Creating a Histogram
- Problem 1: Constructing Histogram with Equal Intervals
- Frequency Polygon
- Cumulative Frequency Polygon
- Graphical Representation & Interpretation of Data-Dot Graph
- Representation and Interpretation of Data through Stem and Leaf
- Graphical Representation & Interpretation of Data- Line Graph
- Graph of Time Series
- Difference Between Histogram and Historigram
1.5: Types of Frequency Curves (Practice Test)
- Frequency Curve
- Common Shapes of Frequency Curves
- Positively Skewed Frequency Curves
- Negatively Skewed Frequency Curves
Chapter 2: Measure of Central Tendency or Averages (47 videos) (Practice Test)
- Average
- Applications of Different Averages
2.2: Arithematic Mean
- Arithmetic Mean for Ungrouped Data
- Problem 1: A.M of Ungrouped Data by Direct Method
- Arithmetic Mean of Grouped Data by Direct Method
- Problem 1: A.M for Grouped Data by Direct Method
- Arithmetic Mean of Ungrouped Data using Short-cut Method
- Problem 1: A.M for Ungrouped Data by Short formula Method
- Arithmetic Mean of Grouped Data using Short-cut Method
- Problem 1: A.M for Grouped Data by Short formula Method
- Arithmetic Mean of Ungrouped Data using Coding Method
- Problem 1: A.M for Ungrouped Data by Coding Method
- Finding A.M for Grouped Data-Coding Method
- Problem 1: A.M for Grouped Data by Coding Method
2.3: Weighted/Combined Mean (Practice Test)
- Combined Arithmetic Mean
- Where to Use Arithmetic Mean
- Applications of Weighted Averages
- Introducing Weighted Average
- Problem – Weighted Average for Ungrouped Data
- Properties of Arithmetic Mean
- More on Properties of Arithmetic Mean
2.4: Median and Quantiles (Practice Test)
- Median for Ungrouped Data
- Median of Grouped Data
- Quartiles for Individual Observations
- More on Quartiles for Individual Observations
- Problem-Quartiles for Individual Observations
- Quartiles for a Frequency Distribution
- Problem-Quartiles for a Frequency Distribution
- Estimating Quartiles for Grouped Data using Graph
- Quantiles from Discrete Data
- More on Quantiles from Discrete Data
- Quartiles From Grouped Data
- More on Quartiles From Grouped Data
- Deciles and Percentiles from Grouped Data
- More on Deciles and Percentiles from Grouped Data
- Problem – Deciles and Percentiles from Grouped Data
- Problem – Deciles and Percentiles from Grouped Data
2.5: Mode
- The Mode
2.6: Geometric Mean and Harmonic Mean (Practice Test)
- Geometric Mean of Ungrouped Data
- Geometric Mean for Grouped Data
- Harmonic Mean for Ungrouped Data
- Harmonic Mean for Grouped Data
- Where to Use Harmonic Mean
- Where to Use Geometric Mean
- Change in Origin and Scale
- Empirical Relationship Between Mean, Median and Mode
- Relationship Between Arithmetic, Geometric and Harmonic mean
Chapter 3: Measures of Dispersion (63 videos) (Practice Test)
- Applications of Dispersion
- Dispersion
3.2: Range
- Range of Ungrouped Data
- Problem 1: Calculation of Range for Raw or Ungrouped Data
- Calculation of Range for Grouped Data
- Problem 1: Calculation of Range for Grouped Data
3.3: Mean Deviation
- Mean Deviation of Ungrouped Data
- Problem-Mean Deviation for Ungrouped Data by Mean
- Problem-Mean Deviation for Ungrouped Data by Median
- Mean Deviation of Ungrouped Data from Mode
- Problem-Mean Deviation for Ungrouped Data by Mode
- Mean Deviation of Grouped Data from Mean
- Problem-Mean Deviation for Grouped Data by Mean
- Mean Deviation of Grouped Data from Median
- Problem-Mean Deviation for Grouped Data by Median
- Calculate the Mean Deviation from the following Group Data according
- Problem-Mean Deviation for Grouped Data by Mode
- Concept of Quartile Deviation
- Problem-Concept of Quartile Deviation
- Interquartile Range for Data Set Represented in Different Ways
- More on Interquartile Range for Data Set Represented in Different Ways
3.5: Variance and Standard Deviation (Practice Test)
- Variance and Standard Deviation
- Problem 1: Introduction to Variance & S.D
- Variance and Standard Deviation of Ungrouped Data
- Calculation of the Variance and Standard Deviation by Direct Method
- Variance and Standard Deviation of Ungrouped Data by Short Method
- Variance and Standard Deviation of Ungrouped Data by Short-cut Method
- Variance and Standard Deviation of Grouped Data
- Variance and Standard Deviation of Grouped Data by Short Method
- Variance and Standard Deviation of Grouped Data by Short-cut Method
- Variance and Standard Deviation of Grouped Data by Coding Method
- Effect of Change of Origin and Scale on S.D
- Properties of Variance and Standard Deviation
- More on Properties of Variance and Standard Deviation
- More on Properties of Variance and Standard Deviation
3.6: Coefficient of Dispersion (Practice Test)
- Absolute and Relative Dispersion
- Coefficient of Dispersion and Its Measure
- Range Coefficient of Dispersion and its measure
- Problem-Range Coefficient of Dispersion and its measure
- Coefficient of Variation and its Measure
- More on Problem-Coefficient of Dispersion and Its Measure
- Quartile Coefficient of Relative Dispersion and its Measure
- Quartile Coefficient of Relative Dispersion and its Measure
- Mean Coefficient of Dispersion
- Introducing Moments
- Introducing Moments
- More on Introducing Moments
- Problem-Introducing Moments
- More on Problem-Introducing Moments
- Problem-Moments for group data
- Problem-Moments for group data
- Prob-Relation Between Mean Moments and Raw Moments
- More on Prob-Relation Between Mean Moments and Raw Moments
3.8: Skewed vs Unskewed Curves (Practice Test)
- Introducing Skewness
- Skewed Vs Unskewed Curves
- More on Skewed Vs Unskewed Curves
- Measures of Skewness
- More on Measures of Skewness
- Problem-Measures of Skewness
- Kurtosis and Its Measurements
- More on Kurtosis and Its Measurements
- Problem-Measures of Kurtosis
- More on Problem-Measures of Kurtosis
Chapter 4: Index Numbers (28 videos) (Practice Test)
4.1: Introduction to Index Numbers (Practice Test)
- Index Number
- Applications of Index Numbers
- Death Rates and Birth Rates
4.2: Main Steps to Construct Price Index Numbers (Practice Test)
- Calculating Index Number By Fixed Base Method
- More on Calculating Index Number By Fixed Base Method
- Calculating Index Number By Chain Base Method
4.3: Unweighted and Weighted Price Index Numbers (Practice Test)
- Calculation of Unweighted Index Number by Simple Aggregative Method
- Problem-Unweighted Index Number by Simple Aggregative Method
- Calculation of Unweighted Index Number by Simple Average Method
- Problem-Unweighted Index Number by Simple Average Method
- Calculation of Unweighted Index Number by Average of Relative Method
- Weighted Aggregative Price Index Numbers By Laspeyres Method
- Weighted Aggregative Price Index Numbers By Paasches Method
- Weighted Aggregative Price Index Numbers By Fishers Method
4.4: Quantity Index Numbers
- Quantity Index Number
- Problem – Simple Aggregative Quantity Index Number
- Problem – Weighted Aggregative Quantity Index Number
- Problem – Simple Average of Relatives Quantity Index Number
- Problem – Weighted Average of Relatives Quantity Index Number
4.5: Value Index
- Value Index Number
4.6: Theoretical Tests of Index Number
- Tests of Index Number
- More on Tests of Index Number
- Problem – Time Reversal Test
- Problem – Factor Reversal Test
4.7: Consumer Price Index Numbers (Practice Test)
- Consumer Price Index Numbers
- Consumer Price Vs Wholesale Price Index Numbers
- Problem- Consumer Price Vs Wholesale Price Index Numbers
- Sensitive Price Index (SPI)
Chapter 5: Regression and Correlation Analysis (6 videos) (Practice Test)
5.1: Regression Analysis (Practice Test)
- Introduction to Regression
- Deterministic and Probabilistic Relations or Models
- Scatter Diagram
- Approximating Line by the Principle of Least Squares
- Correlation
- Pearson Product Moment Correlation Coefficient
Chapter 6: Analysis of Time Series (15 videos) (Practice Test)
- Introducing Time Series
- Applications of Time Series
6.2: Components of Time Series (Practice Test)
- Secular Trend
- Seasonal Variations
- Cyclical Fluctuations
- Irregular or random variations
6.3: Estimation of Secular Trend (Practice Test)
- Method of Free Hand Curve
- Method of Semi-Averages
- How to Calculate Moving Averages
- Applications of Moving Averages
- Problem – Application for Moving Averages
- Estimating Secular Trend by Method of Least Squares
- Fitting a Parabola or second Degree Curve
- Detrending
- Time Series Decomposition
Chapter 7: Set Theory (21 videos) (Practice Test)
7.1: Set Theory
- Sets
- Types of Set
- Subsets
- Basic Operations of Sets
- Venn Diagram
7.2: Algebra of Sets
- Commutative Law of Sets
- Associative Laws
- Idempotent Laws of Sets
- Identity Laws of Sets
- Commplementation Law
- Law of Double Complementation
- Law of Empty Set and Universal Set
- Distributive Laws
- A Basic Counting Procedure
- Introducing Factorials
- Problem- Introducing Factorials
- Introducing Permutations
- Problem- Introducing Permutations (Distinct Objects)
- Permutations When the Objects are Not Distinct
- Introduction to Combinations
- Problem1-Introducing Combinations
Chapter 8: Introduction to Probability (31 videos) (Practice Test)
- Introducing Probability
- Random Experiment
- Sample Space
- Basic Terminologies used in Probability
- Types of Events
- Probability for Multiple Event
- Problem – Probability for Multiple Event
- Mutually Vs Non-Mutually Exclusive Events
- Problem – Mutually Vs Non-Mutually Exclusive Events
- Equally Likely Vs Exhaustive Events
- Conditional Probability
- Properties of Probabilities
8.2: Addition Law for Probability (Practice Test)
- Addition Law of Probability
- More on Applications of Addition of Probabilities
- Addition Laws of Probability
- Problem-Addition Laws of Probability
- Addition of Probabilities of Overlapping Events by Venn Diagram
- Problem-Addition of Probabilities of Overlapping Eventsby Venn Diagram
- Addition of Probabilities of Disjoint Events by Venn Diagram
- Addition of Probabilities of Subset Events
8.3: Multiplication Law for Probability (Practice Test)
- Multiplication Law of Probability
- Application of Multiplication Laws of Probabalities
- More on Application of Multiplication Laws of Probabalities
- Multiplication of Probabilities of Dependent Events
- Problem- Multiplication of Proababilities of Dependent Events
- Multiplication of Proababilities of Independent Events
- Problem-Multiplication of Proababilities of Independent Events
8.4: Conditional Probability (Practice Test)
- Conditional Probability
- Application of Conditional Probability
- Conditional Probability By Sample and Reduced Sample Space Approach
- Prob-Conditional Probability By Sample and Reduced Sample Space Appro
Chapter 9: Random Variables and Distributions (43 videos) (Practice Test)
- Random Variables
- Discrete Vs Continuous Random Variable
9.2: Discrete Probability Distribution (Practice Test)
- Introducing Probability Distribution
- Probability Mass Function
- Probability Distribution of Discrete Random Variable
- More on Probability Distribution of Discrete Random Variable
- Problem – Probability Distribution of Discrete Random Variable
- Cummulative Distribution and Probability Mass Function
- The Expected Value of Random Variable
- Use of Expected Value in Decision Making
- More on Use of Expected Value in Decision Making
9.3: Continuous Probability Distribution (Practice Test)
- The PDF of Continuous Distribution
- More on The PDF of Continuous Distribution
- Finding Area Under the Curve with Trapezoidal Rule
- More on Finding Area Under the Curve with Trapezoidal Rule
- Probability Density Function using Integration Method
- Problem-Probability Density Function using Integration Method
- More on Problem-Probability Density Function using Integration Method
- Cummulative Distribution and Probability Density Function
- Problem-Cummulative Distribution and Probability Density Function
9.4: The Expectation of Random Variable (Practice Test)
- Expectation
- Applications of Expectation
- How Probability Helps Expectations
- The Expectation of a Discrete Distribution
- Problem1-The Expectation of a Discrete Distribution
- Problem2-The Expectation of a Discrete Distribution
- More on Problem2-The Expectation of a Discrete Distribution
- Laws of Expectation
- More on Laws of Expectation
- Addition and Subtraction Laws of Expectation
- Multiplication Law of Expectation
- Problem-Laws of Expectation
9.5: Properties of Variances (Practice Test)
- Properties of Variance1
- Properties of Variance2
- Properties of Variance3
- Properties of Variance4
- Problem1 – Properties of Variance
- Problem2 – Properties of Variance
9.6: Sum or Differences of Variances of Random Variables (Practice Test)
- Variance of the Sum or Difference of Two Random Variables1
- Variance of the Sum or Difference of Two Random Variables2
- Variance of the Sum or Difference of Two Random Variables3
- Variance of the Sum or Difference of Two Random Variables4
- Problem-Variance of the Sum or Difference of Two Random Variables
Chapter 10: Binomial and Hypergeometric Distributions (14 videos) (Practice Test)
10.1: The Binomial Distribution (Practice Test)
- The Bernoulli Distribution
- The Binomial Distribution
- More on Binomial Distribution
- Visualizing Binomial Distribution
- Probability of Binomial Distribution – Example
- Binomial Distribution for All Possible Value of Random Variable
- More on Binomial Distribution for All Possible Value of Random Variab
- Problem- Probability of Binomial Distribution
- Binomial Frequency Distribution
- Mean of Binomial Distribution
- Variance of Binomial Distribution
10.2: The Hypergeometric Distribution (Practice Test)
- Introducing Hypergeometric Distribution
- More on Hypergeometric Distribution
- Properties of Hypergeometric Distribution
Chapter 11: The Normal Distribution (12 videos) (Practice Test)
11.1: The Normal Distribution (Practice Test)
- Introducing Normal Distribution
- Cummulative Distribution Function of Normal Distribution
- Standard Normal Distribution
- Characteristics of the Normal Probability Distribution
- Areas under the Normal Curve
- Tabulated Areas of Normal Distribution
- More on Tabulated Areas of Normal Distribution
- Tabulated Areas of Normal Distribution for Centre Case
- Inverse Use of Table of Areas Under Normal Curve
- More on Inverse Use of Table of Areas Under Normal Curve1
- Problem- Inverse Use of Table of Areas Under Normal Curve
- Normal Approximation to the Binomial Distribution
Chapter 12: Sampling and Sampling Distributions (52 videos) (Practice Test)
- Applications of Sampling
- Central Limit Theorem
- Population Vs Sample
- Population and Its Kind
- Sample and Sampling
- Sampling Units and Frame
- Sampling Versus Census
- Sampling and Non-Sampling Errors
- Precision and accuracy
- Limitations of Sampling
- Sampling Design and Its Types
- A Representative Vs Biased Sample
12.2: Probability And Non-Probability sampling (Practice Test)
- Probability and Non-probability Sampling
- Random Digits
- Simple Random Sampling
- Systematic Sampling
- Stratified Sampling
- Cluster Sampling
- Introducing Purposive and Quota Sampling
12.3: Errors in Sampling
- True Value, Accuracy, Precision and Error
- Prob-True Value, Accuracy, Precision and Error
- Prob-Simple Random Sampling and Sampling Distribution
12.4: Sampling and Sampling Distributions (Practice Test)
- Sampling
- Sampling Distribution
- Sampling With Replacement and Without Replacement
- Sampling Distribution and Standard Error of Statistic
- Prob-Sampling Distribution and Standard Error of Statistic
- Prob-Sampling Distribution From General Populations
12.5: Sampling Distributions (Practice Test)
- Sampling Distribution of Mean
- More on Sampling Distribution of Mean
- Graphical Representation of Sampling Distribution of Means
- Standard Deviation of the Sampling Distribution With Replacement
- More on Standard Deviation of the Sampling Distribution With Replacem
- Problem- Standard Deviation of Sampling Distribution With Replacement
- Standard Deviation of Sampling Distribution Without Replacement
- More on Standard Deviation of Sampling Distribution Without Replaceme
- Sampling Distribution of Difference of Means
- Variance of Difference of Random Variables
- More on Sampling Distribution of Difference of Means
- More on Difference of Variance of Random Variables
- Problem-Sampling Distribution of Difference of Means
- More on Problem-Sampling Distribution of Difference of Means
- Further to Problem-Sampling Distribution of Difference of Means
- Further to Problem-Sampling Distribution of Difference of Means
- Sampling Distribution of Proportions
- Problem- Sampling Distribution of Proportions
- More on Problem- Sampling Distribution of Proportions
- More on Problem- Sampling Distribution of Proportions
- Sampling Distribution of Difference between Proportions
- Sampling Distribution of Variances
- More on Sampling Distribution of Variances
- Further stuff on Sampling Distribution of Variances
Chapter 13: Statistical Inference:Estimation (17 videos) (Practice Test)
13.1: Statistical Inference (Practice Test)
- Introducing Statistical Inference
- Estimates and Estimators
- Statistic and Estimator
13.2: Point Estimation
- Introducing Point Estimation
13.3: Unbiased Estimator (Practice Test)
- Introducing Unbiased Estimator
- Unbiased Estimation of the Variance
13.4: Confidence Interval (Practice Test)
- Introducing Confidence Interval
- Confidence Interval for Means with Large Samples
- Confidence Interval for Mue when Sigma Square is Unknown
- Confidence Interval for Differences between Means with Large Sample s
- Confidence Interval for Mean with Small Sample
- Problem-Confidence Interval Estimates of Mean From Small Samples
- Confidence Interval for differences between Means for small samples w
- Confidence Interval for Paired Observations
- Confidence Interval for Proportions
- Confidence Intervals for Difference Between Proportions
- Confidence Interval for Paired Observations
Chapter 14: Statistical Inference:Hypothesis Testing (27 videos) (Practice Test)
- Testing hypothesis
- Formulation of Null and Alternative Hypothesis
- Prob-Formulation of Null and Alternative Hypothesis
- Simple and Composite Hypothesis
- Test-Statistics
- Acceptance and Rejection Regions
- Type 1 and 2 Errors
- The Significance Level
- One Tailed and Two Tailed Test
- General Procedure for Testing Hypothesis
- Left Tailed and Right Tailed Tests
- Prob-Left Tailed and Right Tailed Tests
- Deciding Upon an Appropriate Test
- Level of Significance and Level of Confidence
14.2: Testing Hypothesis about Population Mean (Practice Test)
- Testing Hypothesis about Mean of a Normal population when Sigma is kn
- Testing Hypothesis about Mean of a Normal population when Sigma is Un
- The Students t Distribution
- Hypothesis Testing About the Mean with Unknown Variance
- Comparing the Mean of Two Normal Populations
- Comparing the Means of Two Normal Distributions with unequal Unknown
- The Paired t Test
14.3: Testing Hypothesis about Population Proportion (Practice Test)
- Test Based on Normal Approximation
- Example- Test Based on Normal Approximation
- Test of Hypothesis About the Difference Between Two Population Propor
- Prob-Test of Hypothesis About the Difference Between Two Population P
- Testing That Difference Between Two Population Proportions Equals Som
- Prob-Testing That Difference Between Two Population Proportions Equal
Chapter 15: Association of Attributes (9 videos) (Practice Test)
15.1: The Association of Attributes (Practice Test)
- Variables and Attributes
- Classification by Attributes
- Independence and Criterion of Independence
- Association of Attributes
- Coefficient of Association
- Categorical data
- Contigency Tables
- Testing Hypothesis of Independence between Attributes
- Yates Correction for Continuity
Accounting Class-XI
Chapter 1: Introduction to Accounting (25 videos)
1.1: Introduction to Accounting
- Need, Importance and Objectives of Accounting
- What is Accounting?
- Book-Keeping Versus Accounting
- Branches of Accounting
- Types and Forms of Business
- Accounting System
1.2: Important Accounting Terms
- Transaction, Goods, Stock and Account
- Sales, Debtors, Purchases and Creditors
- Discount and Commission
- Proprietor, Capital, Liability, Equity and Drawings
- Expense, Expenditure, Assets and Income
1.3: Accounting Principles
- Accounting Principles
1.4: Accounting Concepts
- Separate Entity and Going Concern Concept
- Accounting Period and Matching Concept
- Cost Concept
- Realization Concept
- Substance over Form Concept
- Money measurement Concept
- Dual Aspect Concept
1.5: Accounting Conventions
- Conservatism Convention
- Full Disclosure Convention
- Consistency Convention
- Materiality Convention
1.6: Qualitative Characteristics of Financial Accounting Information
- Relevance and Reliability
- Comparability and Understandability
Chapter 2: Transactions and Accounting Equation (4 videos)
2.1: What is an Event?
- Events and Transactions
- Classification of Transactions
2.2: The Accounting Equation
- Accounting Equation
- Accounting Equation (Problem)
Chapter 3: Analysis of Business Transactions and Double Entry System (12 videos)
3.1: Analysis of Business Transactions
- Analysis of Transactions
- More on Analysis of Transactions
3.2: Double Entry System
- Double Entry System
- Single Entry System
- Statement of Affairs Method
- Conversion Method
3.3: What is an Account?
- Account and its Classification
- Problem: Classification of Accounts
3.4: Rules For Debiting and Crediting
- Debit and Credit Rules of Accounting
- Explanation of Debit and Credit Rules of Accounting
3.5: Numericals
- Analysis of Business Transactions and double entry system
- Analysis of Business Transactions and double entry system
Chapter 4: Journal: The Original Book of Entry (11 videos)
4.1: Accounting Cycle
- Accounting Cycle
4.2: Journal: Book of Original Entry
- Journal
- General Journal (Problem 1)
- Problem 2: General Journal
- Problem 3: General Journal
4.3: Types of Entries
- Simple Entry and Compound Entry
4.4: Transactions Between Business and Its Proprietor
- Capital and Drawing Account
- Cash Discount
4.5: Numericals
- Journal: The original book of Entry (Numerical 1)
- Journal: The original book of Entry
- Journal: The original book of Entry (Numerical 2)
Chapter 5: Ledger: The Main Books of Account (14 videos)
5.1: Ledger: Main Book of Accounts
- Ledger: The Main Book of Accounts
5.2: Forms of Ledger Accounts
- Posting to the Ledger Account
- Posting to the Ledger Account: Illustration
- Self-Balancing Form of Ledger Account
5.3: Trial Balance
- Trial Balance
- Methods of Trial Balance
- More on Methods of Trial Balance
- Total-cum-balances Method
- Problem 2: Recording Transactions in Journal, Ledger & Trial Balance
- More on Recording Transactions in Ledger
- More on Recording Transactions in Trial Balance
5.4: Numericals
- Ledger: The Main Book of Accounts
- Ledger: The Main Book of Accounts
- Trial Balance
Chapter 6: Bills of Exchange (25 videos)
6.1: Introduction to Bills of Exchange
- Bills of Exchange
- Important Terms Used in Bills of Exchange
- Types and Classification of Bills of Exchange
- Difference between Bills of Exchange and Cheque
6.2: How Transactions Relating to Bills of Exchange are Recorded?
- Bills Receivable and Bills Payable Books
- Accounting Treatment For Bills Receivable and Bills Payable
- Recording of Transactions in the books of Drawer
- Recording of Transactions in the books of Drawee
6.3: Aspects of Bills of Exchange
- Illustration 1: Drawing, Acceptance and Payment of Bills
- Illustration 2: Discounting of a Bill
- Illustration 3: Bills for Collection
- Illustration 4: Endorsement of a Bill
- Illustration 5: Dishonour of a Bill
- Illustration 6: Renewal of a Bill
- Illustration 7: Retiring of a Bill
- Illustration 8: Accommodation Bills
6.4: Promissory Note
- Promissory Note
6.5: Numericals
- Bills of Exchange-Numerical 1
- Bills of Exchange-Numerical 1
- Bills of Exchange-Numerical 2
- Bills of Exchange-Numerical 2
- Bills of Exchange-Numerical 3
- Bills of Exchange-Numerical 3
- Numerical 4: Accommodation Bill
- Numerical 4: Accommodation Bill
Chapter 7: Special Journals (18 videos)
7.1: Introduction to Special Journal
- Subdivision of Journal
7.2: Business Documents
- Invoice
- Debit Note
- Credit Note
- Receipt and Statement of Account
- Cheque
7.3: Purchases Journal
- Purchases Journal
- Distinction between Purchases Journal and Purchases Account
- Purchases Returns Journal
- Problem: Purchases Returns Journal
7.4: Sales Journal
- Sales Journal
- Sales Returns Journal
- Problem: Sales Returns Journal
7.5: Numericals
- Numerical 1: Purchase Journal
- Numerical 2: Sales Journal
- More on Numerical 2: Posting of Sales Journal into Ledger Accounts
- Numerical 3: Purchases Returns Journal
- Numerical 4: Sales Returns Journal
Chapter 8: Cash Book and Bank Reconciliation Statement (22 videos)
8.1: Cash Book
- Introduction to Cash Book
8.2: Classification of Cash Book
- Simple Cash Book
- Double column Cash Book
- Posting from Cash Book to concerned Accounts in Ledger
- Three Column Cash Book
8.3: Opening an Account with a Bank
- Opening an Account with a Bank
- Accounting Treatment of Cheques
- Dishonour of Cheques
- Some Special Banking Transactions
- More on Some Special Banking Transactions
8.4: Bank Reconciliation Statement
- What is Bank Reconciliation Statement?
- Distinction between Cash book and Pass Book
- Preparation of Pass Book
8.5: Recording Transactions in Cash Book and Pass book
- What is Meant by ‘Rectification’?
8.6: Different causes of Disagreement
- Causes of Disagreement between Cash Book and Pass Book
8.7: Preparation of Bank Reconciliation Statement
- Bank Reconciliation Statement: When Cash Book Balance is given.
- Bank Reconciliation Statement: When Pass Book Balance is given.
- Bank Reconciliation Statement: When unfavourable Cash Book Balance is
- Bank Reconciliation Statement: When unfavourable Pass Book Balance is
8.8: The Petty Cash Book
- Systems of Petty Cash Accounting
- The Petty Cash Book
- Problem: Petty Cash Book
Chapter 9: Journal Proper and Summary of Book Keeping to the Trial Balance (9 videos)
9.1: Journal Proper: Divisions of Transactions in Groups
- Opening and Closing Entries
- Closing Entries
- Adjustment and Entries
- Rectifying Entries
- Transfer Entries
- Rare Transactions or Residuary Entries
9.2: Summary of Book Keeping
- Problem 2: Recording Transactions in Journal, Ledger & Trial Balance
- More on Recording Transactions in Ledger
- More on Recording Transactions in Trial Balance
Chapter 10: Final Accounts: The Completion of Accounting Cycle (26 videos)
10.1: Final Accounts-Different kind of Business Concerns
- Trading, Manufacturing and Service concerns
10.1: Final Accounts
- Expense
- Categories of Expense
- Revenue and Income
- Types and Source of Revenue
- Matching Revenue and Expenses
- Trading Account-Basic Level
- Different Items of Trading Account-Debit side
- More on Different Items of Trading Account-Debit side
- Different Items of Trading Account-Credit side
- Valuation of Closing Stock
- Problem 1: Trading Account
- Trading, Profit and Loss Account
- Different Items of Profit and Loss Account-Debit side
- More on Different Items of Profit and Loss Account-Debit side
- Different Items of Profit and Loss Account-Credit side
- Problem 2: Profit and Loss Account
- Problem 3: Trading, Profit and Loss Account
- Problem 4: Revised Trial Balance
- Balance Sheet-Basic Level
- Asset
- Types of Assets
- Liabilities
- Types of Liabilities
- Equity
- Problem 5: Statement of Financial Position / Balance Sheet
Chapter 11: Adjustments and their Effects on Final Accounts (39 videos)
11.1: Adjustments and their Effects on Final Accounts
- Accounting System
- Need and Types of Adjustments
- Accrued Expenses or Outstanding Expenses
- Prepaid Expenses or Unexpired Expenses
- Accrued Revenue or Revenue Receivable
- Unearned Revenue or Revenue Received in Advance
- Depreciation of Assets
- Methods of Depreciation
- Interest on Capital and Drawings
- Bad Debts
- Doubtful Debts & Difference between Bad and Doubtful Debt
- Treatment of Bad debts & Provision for Doubtful Debts
- Illustration: Treatment of Bad debts & Provision for Doubtful Debts
- More on Illustration: Treatment of Bad debts & Provision for Doubtfu
- More on Illustration: Treatment of Bad debts & Provision for Doubtfu
- Problem 1: Adjustments and their Effect on Final Accounts
- Problem 1: More on Adjustments and their Effect on Final Accounts
- Problem 1: More on Adjustments and their Effect on Final Accounts (II
- Problem 2: Adjustments and their Effect on Final Accounts
- Problem 2: More on Adjustments and their Effect on Final Accounts
- Problem 2: More on Adjustments and their Effect on Final Accounts (II
- Provision for Discount on Debtors & Creditors
- Some Typical Problems in Final Accounts
- Recovery of Bad Debts
- Loss of Goods
- Closure of Abnormal Loss Account
- Treatment of Loan Borrowed & Lent
- Treatment of Depreciation and Profit or Loss on sale of Fixed Assets
- Interest on Loan & Income Tax
- Manager’s Commission and Agreement of Balance Sheet by opening Suspen
- Adjustments of Errors in Final Accounts
- Adjustments of Errors in Final Accounts(II)
- Adjustments of Errors in Final Accounts (III)
11.2: Numericals
- Numerical 1: Adjustments and their Effects on Final Accounts
- More on Numerical 1: Adjustments and their Effects on Final Accounts
- More on Numerical 1: Adjustments and their Effects on Final Accounts
- Numerical 2: Adjustments and their Effects on Final Accounts
- More on Numerical 2: Adjustments and their Effects on Final Accounts
- More on Numerical 2: Adjustments and their Effects on Final Accounts
Chapter 12: Work Sheet (3 videos)
12.1: Work Sheet
- What is Worksheet?
- Work Sheet
- More on Work Sheet
Chapter 13: Financial Statements (17 videos)
13.1: Income Statement
- Statement of Profit or Loss – General
- Manufacturing Account or Cost of Goods sold Statement
- Problem 1: Income Statement
13.2: Effects of Adjustment on Financial Statements
- Accrued Expenses or Outstanding Expenses
- Prepaid Expenses or Unexpired Expenses
- Accrued Revenue or Revenue Receivable
- Unearned Revenue or Revenue Received in Advance
- Depreciation of Assets
- Interest on Capital and Drawings
- Inventory-Opening and Closing
13.3: Balance Sheet-Advance Level
- Balance Sheet-Advance Level
- Problem 1: Balance Sheet
- Problem 2: Balance Sheet
13.4: Numericals
- Numerical 1: Statement of Profit or Loss
- Numerical 1: Statement of Profit or Loss
- Numerical 1: Statement of Profit or Loss
- Numerical 2: Statement of Financial Position
Chapter 14: Capital and Revenue (12 videos)
14.1: Capital and Revenue Expenditure
- Capital Expenditure
- List of Capital Expenditure
- List of Capital Expenditure – II
- Revenue Expenditure
- List of Revenue Expenditure
- Problem 1: Identification of Revenue and Capital
- Problem 2: Identification of Revenue and Capital
- Exceptions to the Revenue Expenditure
- Capital and Revenue Receipts and Profits
- Capital and Revenue Losses and Payments
14.2: Numericals
- Numerical 1: Capital and Revenue Expenditure
- Numerical 2: Capital and Revenue Expenditure
Chapter 15: Rectification of Errors (20 videos)
15.1: Rectification of Errors
- What is Rectification of Errors and types of Errors
- Book-keeping Errors
- More on Book-keeping Errors
- Trial Balance Errors
- Rectifying the Errors
15.2: Error causing Disagreement in Ledger and Trial Balance
- Problem 1: One sided Error
- Problem 2: Two sided Error
- Accounts before and after Rectification of Errors
- Suspense Account
- One-sided Errors at Different stages
- Two-sided Errors at Different Stages
15.3: Effect of Errors on the Final Accounts
- Effect of Errors on Net Profit
- Problem: Effects of Errors on Income Statement
- Effect of Errors on Balance Sheet
- Problem: Effect of Errors on Balance Sheet
- Problem: More on Effects of Errors on Balance Sheet
15.4: Numericals
- Numerical 1: Rectification of Errors
- Numerical 2: Rectification of Errors
- Numerical 3: Preparation of Suspense Account from Entries
- State the Effects of Errors on Final Accounts
Computer Science Class-XI
Chapter 1: Basic Concepts of Information Technology (72 videos) (Practice Test)
1.1: What is Computer
- What is Computer
1.2: What is Computer Science and Information Technology (Practice Test)
- What is Computer Science
- What is Information technology
1.3: Computer System
- Computer System and Its Components
1.4: Looking Inside a Machine
- Looking inside a Machine
1.5: Input Devices
- Keyboard
- Terminals I/O Devices
- Barcode and QR readers
- Optical Mark Recognition
- Megnetic ink character recognition System : MICR
- Scanners
- More on Scanners
- Video Input Devices
- Microphone
- Mouse
- Joy Stick
- Touch screen
- Light Pen
- Graphic Tablet
- What is Computer Hardware
1.6: Processing Hardware
- Central Processing Unit : ALU , Control Unit
1.7: Main Memory
- Main Memory : Primary Memory
1.8: How Data and Programs are Represented in the Computer (Practice Test)
- Introduction to Data Representation
- Memory terminologies : Memory Cell , Memory Word , Byte
1.9: Binary Coding Schemes (Practice Test)
- Coding Scheme
- ASCII Code
- Uni Code
- A Brief Description of Binary Coded Decimal
1.10: The Parity Bit : Check for Errors
- The Parity Bit : Check for Errors
- A System Unit : Desktop and Tower Casing
1.11: The System Unit of a Microcomputer
- Power Supply
- Mother board
- More on Mother board
- Internal Processor Memory : Registers
- Bus and Types of Buses
- CPU Clock and Co-processor
- RAM : Random Access Memory
- Cache and its Types
- Virtual Memory
- Chip Memory
- Flash Memory Cards
- ROM : Read Only Memory
- Expansion Slots Types
- Types of Expansion Cards
- Ports and Types
- Types of Ports : Serial and Parallel Ports
1.12: Output Devices
- Difference between Soft copy and Hard Copy
- Monitors
- More on Monitor
- Screen resolution
- Monochrome and Color Screens
- Speakers
- Printers and Its types
- Plotter
- Computer Output Microfilm (COM) System
1.13: Storage Hardware
- Storage Hardware : Memory
- Magnetic Tapes
- Floppy Disks and Zip Disks
- Hard Disk
- CD ( Compact Disk)
- Properties of Optical Disc
1.14: Software
- Types of Software
- The Concept of Operating System
- What is DOS
- UNIX and LINUX
- Windows
- Objectives of Operating System
- Functions of Operating System
1.15: Programming Languages (Practice Test)
- Programming Langauges : An Overview
- Machine Language
- Assembly Language
- High Level Langauge
- Generations on Computer Languages
Chapter 2: Information Networks (23 videos)
2.1: Network and Its Advantages
- What is Computer Network
- Uses of Network
2.2: Various Types of Network
- Types of Networking w.r.t Area: LAN, WAN, MAN
2.3: Topology of LAN
- What is Network Topology
- Network Topology : Advantages and Disadvantages
- More on Network Topology : Advantages and Disadvantages
2.4: LAN Models
- Difference between Client and Server
- Client Server Network
- Peer to Peer to Network
2.5: Components of a LAN (Practice Test)
- Networking Devices : Switch
- Router
- Gateway
- Network Interface Card
- Dial-Up Modem
- Networking Hardware
- Networking Software
2.6: GAN ( Global Area Network) or Internet
- What is Internet
- WWW : World Wide Web
2.7: Major Features of Internet
- Terminologies related to Internet
2.8: Email
- Working with Email
- More on Working with Emails
2.9: File Transfer Protocol
- File Transfer Protocol
2.10: World Wide Web
- WWW : World Wide Web
2.11: Getting information on the Internet
- Searching for Sites
- How the Internet Works
2.12: Desktop Tools for Accessing the Internet
- Browser
- Working with Browser
- More on Working with Browser
Chapter 3: Data Communication (30 videos)
3.1: Data Communication and Its Components
- What is data communication
- compoents of communication System
3.2: Data
- Types of Data
3.4: Characteristics of Data Transmission
- Properties of Good communication System
3.5: Analogue and Digital Signals
- Signal
- Synchoronous and Asynchoronous Transmission
3.6: Direction of Transmission
- Transmission modes of Computer Network
3.7: Data Communication Speed and Media
- What is Bandwidth
- Data Rate , Baud Rate
3.8: Twisted Pair Cable
- STP : Ethernet : Twisted Pair Cable
3.9: Coaxial Cable
- Co-axial Cable
3.10: Fiber Optic Cable
- Optical Fibers
3.11: Microwave Transmission
- Wireless media : Microwave Transmission
3.12: Satellite Transmission
- Satellite Communication
- Dial-Up Modem
3.13: Communication Hardware : Modem
- Types of Modems
3.15: Ethernet
- STP : Ethernet : Twisted Pair Cable
- Token Ring
3.16: Communication Protocols
- LAN’s Protocol
- Internet Protocol Address
3.17: The OSI Model
- What is OSI Model : Over view
- Physical Layer
- Data Link Layer
- Network Layer
- Transport Layer
- Session Layer
- Presentation Layer
- Application Layer
- Seven Layers of OSI Model
- More on OSI Model
Chapter 4: Applications and Use of Computer (5 videos) (Practice Test)
4.1: Capabilities of Computer
- Capabilities of Computer
4.2: How Computers are Used (Practice Test)
- Applications of Computers in Education
- Applications of Computers in Health
- Applications of Computers in Business
4.3: The Impact of Computers on People
- Effects of Computer on Society : Positive aspects
Chapter 5: Computer Architecture (11 videos)
5.1: Introduction to Computer Architecture
- Introduction to Computer Architecture
5.2: Components of Digital Computer
- Components of Digital Computer
5.3: Addressing of Memory Locations
- Addressing of a Memory Locations
5.4: Computer Registers
- Internal Processor Memory : Registers
- General Purpose Registers
5.5: Buses
- Bus and Types of Buses
5.6: Instructions
- Instruction Code
- Instruction Format
5.7: Stack Organized CPU
- How Push and Pop Functions are performed in Stack
5.8: How to Convert Infix Expression into Postfix Expression
- How to Convert Infix Expression into Postfix Expression
5.9: Internal Working of CPU
- Instruction cycle
Chapter 6: Security , Copyright and the Law (15 videos)
6.1: Computer Crime
- Computer Crime
6.2: Computer Viruses
- Computer Virus : What is Virus and How it Spread
- Worm , Adware , Spyware , Malware
- Types of Virus
- How to Protect from Viruses
- Downloading and Installation of Antivrus
6.3: Computer Security : Reducing Risks
- Passwords
- Authorized access and Unauthorized Access
- Difference between Authorization and Aunthentication
- Authentication Methodologies : Password and Pin Number
- Access Card and Biometrics
- Multi Model Aunthentication
- Firewalls , Encryption and Audits
- Data Backup
6.4: Privacy Issues
- Privacy issues
Chapter 7: Operating System (Windows) (19 videos)
7.1: Introduction to Operating Systems / System Software
- The Concept of Operating System
- Objectives of Operating System
7.2: What is a User Interface
- What is User System Interface
- Graphical User Interface
7.3: Windows
- The Desktop
- Taskbar and Start Button
- Menu Bar
7.4: Icons
- Familiarization with Windows icons
7.5: File Management
- Rules for Files and Folders Name
- Find Your File
- Renaming Files amd Folders
- Deleting Files
- Cut, Copy and Paste File
- Dealing with Disks in Windows
- Exploring Windows Explorer
- Getting Help
- Customizing Windows
7.6: Using the Printers Folder
- Using Printers in Windows
- Ease of Access Center in Windows
Chapter 8: Word Processing (32 videos) (Practice Test)
8.1: Word Processing
- What is Word Processing
8.2: Basic Word Processing Functions (Practice Test)
- Word Window overview
- Manage a word document
- Editing text: Inserting and selecting
- Editing text: Cut, Copy, paste and delete
- Searching for and Replacing Characters
- Foot Notes and End Notes in MS Word
- Spell checking and thesauras
8.3: Formatting Word Document (Practice Test)
- Text Formatting: Font size, style and color
- Text Formatting: Modify text and text case
- Paragraph Formatting: Alignment and indent
- Paragraph Formatting: Border, Shading and spacing
- Page Formatting: Orientation, size and columns
- Page Formatting: Border and color
- Page Formatting: Insert cover and blank page
- Insert page break and section break
- Insert header, footer and page number
8.4: Enhancing a Word Document (Practice Test)
- Insert/Position image and clip art
- Insert and delete word art
- Insert table, add/delete row and column
- Resize rows and columns
- Border settings in tables
- Shading settings in tables
- Merge and split cells in tables
8.5: Advanced Operations (Practice Test)
- Table of Contents and Index Generation
- Inserting symbols in a document
- Use of Equation Editor: Write equation
- Mail Merge
- Macros
- Desktop Publishing in MS word
- printing the document
- Popular Word Processing Packages
Chapter 9: Spread Sheet (17 videos) (Practice Test)
- Basics of Spreadsheet
- Excel window
- Microsoft Excel terminology
- Creating workbook, naming and working with cells and sheets
- Addressing cells
- Paste cell content
- Working with formulas
- Working with functions
- More on working with fuctions
9.2: Entering and Editing data (Practice Test)
- Filling columns and rows
- Moving the Cell Pointer in MS Excel
9.3: Formatting Data
- Format data: Conditional formatting
9.4: Printing
- Printing Worksheets and Charts
9.5: Additional Spreadsheet Features (Practice Test)
- Additional Spreadsheet Features
- Linking WorkSheets in MS Excel
- Three Dimentional SpreadSheets
- Popular Spread Sheet Programs
Chapter 10: Internet browsing and Using E-Mail (6 videos)
10.1: Browsing the Web
- Browser
10.2: Downloading a File
- How to Download and Install Software
10.3: Searching the Web
- Searching for Sites
- How the Internet Works
- Search Engine
10.4: Understanding E-Mail
- Working with Email
- More on Working with Emails
10.4: Understanding Newsgroups
- News Groups