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Comprehensive Algebra Course
Comprehensive Algebra Course
Section 1 : Introduction
Lecture 1
Introduction - Important Instructions
1:13
Section 2 : Fundamental concepts of Algebra
Lecture 2
What is Algebra
3:46
Lecture 3
Constructing Algebraic Expressions
5:41
Section 3 : Revision Section on Integers
Lecture 4
Negative numbers and operations on Integers
14:0
Section 4 : Rules of ordering- BODMAS
Lecture 5
BODMAS Rule - Basics
9:23
Lecture 6
Practice Problems BODMAS Part 1
9:46
Lecture 7
Practice Problems BODMAS Part 2
8:29
Section 5 : A complete section on Indices ( Exponents)
Lecture 8
The Laws of Indices
10:52
Lecture 9
Application of Indices Part 1
9:47
Lecture 10
Application of Indices Part 2
7:43
Lecture 11
Fractional Indices
11:32
Lecture 12
Practice Problems
8:32
Lecture 13
Problems from IGCSE Last year papers
5:54
Section 6 : Algebraic Expressions
Lecture 14
What are Algebraic Expressions
8:20
Lecture 15
Terms, Coefficients, Degree, Like and Unlike Expressions
13:0
Lecture 16
Arrangements of the Terms
8:48
Lecture 17
Distributive Property in Algebraic expressions
6:45
Lecture 18
Addition of Algebraic expressions
12:46
Lecture 19
Subtraction of Algebraic expressions
11:54
Section 7 : Brackets in Algebra
Lecture 20
Rules of brackets
11:48
Lecture 21
Simplification by removing brackets
10:42
Section 8 : Multiplication and Division of Algebraic expressions
Lecture 22
Multiplication of Algebraic Expressions Part 1
4:51
Lecture 23
Multiplication of Algebraic Expressions Part 2
5:12
Lecture 24
Multiplication of Algebraic Expressions Part 3
5:53
Lecture 25
Division of algebraic expressions Part 1
10:48
Lecture 26
Division of algebraic expressions Part 2
10:3
Lecture 27
Division of algebraic expressions Part 3
7:0
Section 9 : Linear equations in one variable
Lecture 28
Simple Equations
8:13
Lecture 29
Solving an Equation Part 1
9:54
Lecture 30
Solving an Equation Part 2
6:33
Lecture 31
Practice Problems
9:37
Lecture 32
Word Problems based on Linear equations 1
12:36
Lecture 33
Lecture 6 Word Problems based on Linear equations 2
8:38
Section 10 : Linear Inequalities
Lecture 34
How to plot inequalities on number line
7:27
Lecture 35
Linear Inequalities
7:47
Lecture 36
Solving Linear Inequalities Part 1
9:59
Lecture 37
Solving Linear Inequalities Part 2
6:30
Section 11 : Formula Change of Subject of Formula
Lecture 38
Changing Subject of a Formula Part 1
5:46
Lecture 39
Changing Subject of a Formula Part 2
6:14
Lecture 40
Evaluate and write formulae of word problems
9:26
Lecture 41
Substitutions in given Formulae Part 1
6:28
Lecture 42
Substitutions in given Formulae Part 2
7:42
Lecture 43
Substitutions in given Formulae Part 3
5:46
Section 12 : Algebraic Identities
Lecture 44
What are Identities
5:33
Lecture 45
Identity (a + b) ²=a²+2ab+b²
13:5
Lecture 46
Identity (a - b) ²=a²-2ab+b²
8:1
Lecture 47
Identity a² - b² = (a-b) (a +b)
7:5
Lecture 48
Identity (x+ a) (x+ b) =x²+ (a+ b) x+ ab
7:53
Lecture 49
Pascal’s Triangle
6:21
Lecture 50
Identity (a+ b) ³=a ³ + 3a²b+3ab²+b ³
12:40
Section 13 : Factorization
Lecture 51
Factorization by taking out common factor
12:41
Lecture 52
Factorization by grouping the terms
9:57
Lecture 53
Factorization by difference of two squares
10:30
Lecture 54
Factorization using ( a - b ) ² & ( a + b ) ²
10:7
Lecture 55
Factorization by ( a + b + c ) ²
5:14
Lecture 56
Factorization by middle term split Part 1
Preview
Lecture 57
Factorization by middle term split Part 2
9:21
Section 14 : How to draw Line graph
Lecture 58
Cartesian Coordinate system Part 1
10:7
Lecture 59
Cartesian Coordinate system Part 2
8:43
Lecture 60
Some Important facts
8:3
Lecture 61
Drawing Line Graph
7:25
Section 15 : System of simultaneous linear equations in two variables
Lecture 62
Simultaneous Linear Equations
Preview
Lecture 63
Graphical Method
5:43
Lecture 64
Graphical method Continues…
11:17
Lecture 65
Elimination by substitution Method
9:25
Lecture 66
Equating the coefficients Method
Preview
Lecture 67
Cross Multiplication
10:11
Lecture 68
Equations Reducible to Linear Equations-1
7:37
Lecture 69
Equations Reducible to Linear Equations-2
14:26
Lecture 70
Linear equations Conditions
Preview
Lecture 71
Problems Based on Conditions
Preview
Section 16 : Polynomials
Lecture 72
Polynomials and Zeros of polynomials
10:6
Lecture 73
Remainder Theorem
4:31
Lecture 74
Factor Theorem
10:7
Lecture 75
Practice problems on Remainder and Factor Theorem
8:36
Lecture 76
Factorization using factor Theorem
9:47
Lecture 77
Zeros of polynomials a, ß & ?
9:44
Lecture 78
Relation between zeros and coefficients of polynomials
12:39
Lecture 79
Finding polynomials if zeros are known
6:12
Lecture 80
Practice problems based on zeros of the polynomials
9:36
Lecture 81
Problems solving with a and ß (part 1)
10:57
Lecture 82
Problems solving with a and ß (part 2)
10:39
Section 17 : Quadratic Equations
Lecture 83
Quadratic Equations (Downloadable Resources)
Text
Lecture 84
Introduction to Quadratic Equations
4:40
Lecture 85
Solving Quadratic Equations by Factorization method
9:20
Lecture 86
Writing in completed square form
6:45
Lecture 87
Solving by completing square method
8:25
Lecture 88
Sketching of Quadratic Graphs by completing the square method
12:3
Lecture 89
Quadratic graphs using Transformations
6:9
Lecture 90
Solving Quadratic inequalities by graphical method
11:8
Lecture 91
Deriving Quadratic formula
5:9
Lecture 92
Solving problems using Quadratic formula
6:18
Lecture 93
Nature of roots 1
4:30
Lecture 94
Nature of roots 2
12:0
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Lectures
94
Video
13:26:0 Hours
Skill level
intermdiate
level
Languages
English
Includes
Lifetime access
Certificate of Completion
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