### Course Curriculum

Introduction | |||

Lecture 1 Introduction | 00:03:00 | ||

Fundamental concepts on Algebraic Expressions | |||

Lecture 2 What is Algebra | 00:02:00 | ||

Lecture 3 Simple Equations | 00:05:00 | ||

Lecture 4 What are Polynomials | 00:04:00 | ||

Lecture 5 Terms in Polynomials | 00:03:00 | ||

Lecture 6 Degree of Polynomials | 00:05:00 | ||

Lecture 7 Writing statements to algebraic form | 00:04:00 | ||

Operations on Algebraic Expressions | |||

Lecture 8 Integers and common mistakes in solving integers | 00:13:00 | ||

Lecture 9 Arrangement of Terms | 00:07:00 | ||

Lecture 10 Powers on integers | 00:04:00 | ||

Lecture11 Simplification using BODMAS | 00:08:00 | ||

Lecture 12 Distributive Properties in Polynomials | 00:04:00 | ||

Lecture 13 Simplify Polynomials | 00:10:00 | ||

Lecture 14 Additions of Polynomials | 00:06:00 | ||

Lecture 15 Subtractions of Polynomials | 00:10:00 | ||

Indices ( Exponents) | |||

Lecture 16 The rules of Indices in algebra | 00:11:00 | ||

Lecture 17 Fractional indices | 00:10:00 | ||

Lecture 18 Understanding indices (practice questions) | 00:07:00 | ||

Lecture 19 Problems from IGCSE Last year papers | 00:09:00 | ||

Multiplication and Division of Algebraic expressions | |||

Lecture 20 Multiplication of monomial to Polynomial | 00:09:00 | ||

Lecture 21 Multiplication of Polynomial by Polynomial | 00:06:00 | ||

Lecture 22 Division of algebraic expression by a monomial | 00:08:00 | ||

Lecture 23 Division of algebraic expression by another polynomial | 00:09:00 | ||

Lecture 24 Division of a polynomial by another polynomial with remainder | 00:11:00 | ||

Brackets in Algebra | |||

Lecture 25 Rules of brackets | 00:04:00 | ||

Lecture 26 Simplification by removing brackets | 00:11:00 | ||

Linear equations in one variable | |||

Lecture 27 Simplification of algebraic fractions | 00:07:00 | ||

Lecture 28 Rules to solve linear equations in one variable | 00:03:00 | ||

Lecture 29 Solving linear equations in one variable | 00:07:00 | ||

Lecture 30 Solving complex linear equations in one variable | 00:10:00 | ||

Lecture 31 Word problems on linear equations in one variable | 00:13:00 | ||

Algebraic Identities | |||

Lecture 32 What are Identities? | 00:05:00 | ||

Lecture 33 Identity ( a + b ) ² | 00:13:00 | ||

Lecture 34 Identity ( a – b ) ² new | 00:07:00 | ||

Lecture 35 Identity a² – b² = (a-b) (a +b ) new | 00:07:00 | ||

Lecture 36 —- Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c old | 00:07:00 | ||

Lecture 37 Identity (x + a) (x + b) Identity Derivation & Application new | 00:08:00 | ||

Lecture 38 Pascal’s Triangle _ Identity ( a + b ) ³ new | 00:07:00 | ||

Lecture 39 Identities( a – b ) ³, ( a ³ + b ³) and (a ³ – b ³) new | 00:13:00 | ||

Lecture 40 — Standard Identities a ³ + b ³ + c ³ – 3 a b c | 00:10:00 | ||

Formula : Change of subject of formula | |||

Lecture 41 –Changing the subject of formula | 00:08:00 | ||

Linear Inequalities | |||

Lecture 42 – Linear Inequalities | 00:12:00 | ||

Resolve into factors | |||

Lecture 43 – Factorization by taking out common factor | 00:10:00 | ||

Lecture 44 – Factorization by grouping the terms | 00:09:00 | ||

Lecture 45 – factorize using identity a ² – b ² | 00:07:00 | ||

Lecture 46 – factorize using identity (a + b )² and (a – b )² (2) | 00:08:00 | ||

Lecture 47 – factorize using identity ( a + b + c ) ² | 00:05:00 | ||

Lecture 48 – factorization by middle term split | 00:12:00 | ||

Algebraic Fractions | |||

Lecture 49 –Simplification of algebraic fractions | 00:06:00 | ||

Coordinate axis – points and Line graph | |||

Lecture 50 All that you need to know about co ordinate axis | 00:04:00 | ||

Lecture 51 Some important facts needed to draw line graph | 00:03:00 | ||

Lecture 52 – How to draw a line graph on coordinate plane | 00:03:00 | ||

Lecture 53 Drawing line graphs | 00:06:00 | ||

System of simultaneous linear equations in two variables | |||

Lecture 54 Simultaneous Linear Equations in two variables- intro | 00:03:00 | ||

Lecture 55 Graphical method of solving linear equations | 00:06:00 | ||

Lecture 56 Graphical method – more problems | 00:10:00 | ||

Lecture 57 Method of Elimination by substitution | 00:09:00 | ||

Lecture 58 Method of Elimination by Equating coefficients | 00:11:00 | ||

Lecture 59 Method of Elimination by cross multiplication | 00:07:00 | ||

Lecture 60 Equations reducible to simultaneous linear equations | 00:12:00 | ||

Lecture 61 Word Problems on Linear equations | 00:18:00 | ||

Polynomials | |||

Lecture 62 Polynomials and Zeros of polynomials | 00:10:00 | ||

Lecture 63 Remainder Theorem | 00:04:00 | ||

Lecture 64 Factor Theorem | 00:08:00 | ||

Lecture 65 Practice problems on Remainder and Factor Theorem | 00:09:00 | ||

Lecture 66 Factorization using factor Theorem | 00:10:00 | ||

Quadratic Polynomials | |||

Lecture 67 Zeros of polynomials α, β & γ | 00:10:00 | ||

Lecture 68 Relation between zeros and coefficients of a polynomials | 00:13:00 | ||

Lecture 69 Finding polynomials if zeros are known | 00:06:00 | ||

Lecture 70 Practice problems on zeros of polynomials | 00:10:00 | ||

Lecture 71Problems solving with α and β (part 1) | 00:11:00 | ||

Lecture 72 Problems solving with α and β (part 2) | 00:10:00 | ||

Quadratic Equations | |||

Lecture73 what are Quadratic equations | 00:03:00 | ||

Lecture 74 Solutions by factorization method | 00:12:00 | ||

Lecture 75 Solutions by completing square formula | 00:06:00 | ||

Lecture 76 Deriving Quadratic formula | 00:05:00 | ||

Lecture 77 Practice problems by Quadratic formula | 00:07:00 | ||

Lecture 78 Solving complex quadratic equations by Quadratic Formula | 00:11:00 | ||

Lecture 79 Solutions of reducible to Quadratic Formula | 00:09:00 | ||

Lecture 80 Skilled problems on Quadratic Equations | 00:07:00 | ||

Lecture 81 Exponential problems reducible to Quadratic Equations | 00:06:00 | ||

Lecture 82 Nature of Roots of Quadratic Equations | 00:09:00 | ||

Lecture 83 Word problems on quadratic Equations Part 1 | 00:13:00 | ||

Lecture 84 Word problems on quadratic Equations Part 2 | 00:11:00 |

Review