Course Description
Algebra is one of the most common and malleable types of mathematics, and it is also one of the most significant since primary algebra used by electricians, engineers, and nearly everyone in between.
This Pefect your Algebra Fundamentals is intended for individuals with no prior knowledge of Algebra. This course includes all the fundamental concepts of Algebra, and each stepbystep arranged modules will explain topics in a mild and an approachable manner. You will understand the basic terminology of Algebra, following with finding the numerical value of Algebraic expressions, addition, subtraction, multiplication and division of Algebraic expressions, directed numbers, higher indices, use of brackets in Algebra and many more.
To sum up, theories explained in an interactive and practical format and then further demonstrated with questions to ensure you have a good understanding of the topics by the end of this course.
What Will I Learn?
 Apply laws of Indices ( Exponents) on algebraic expressions.
 Algebraic Identities used in algebra and their application like ( a – b ) ² , ( a + b ) ³ , a ³ – b ³ , ( a + b + c ) ² etc
 Factorize using common factors, regrouping , splitting the middle term, using identity a² – b² , (a+b)² , (a+b)² ,a ³ + b ³ + c ³ – 3 a b c etc
 Solve all types of Linear equations in one variable
 Word problems based on linear equations
 Knows about adding and removing brackets in algebraic expressions
 Change the subject of formula
 simplify fractions with denominators algebraic expression and bring them to its lowest form
 Add , subtract , multiply and divide any algebraic expression
 Divide one polynomial by another by long division method
 Find value of any algebraic expression when value of variable is known
 Fully familiar with rarely used identity a ³ + b ³ + c ³ – 3 a b c
 Learn to draw line graph
 Solve Linear Inequalities
 Able to solve all the problems of simultaneous linear equations by applying different methods
 Able to solve linear equations with 1/2 variables graphically
 Able to solve real world problems with the help of simultaneous linear equations
 Solve Quadratic equations using Factorization method and Quadratic Formula
 Solve Quadratic using squaring complete method
 Solve all types of complex Quadratic equations and reducible to quadratic equation
 Knowledge of nature of roots of quadratic equations
 Learn to solve different types of word problems on Quadratic equations
Requirements
 Knowledge of Mathematics till 5th grade
Who is the target audience?
 GMAT , GRE and MBA entrance exams students looking for revision of Algebra fundamentals
 Wants to brush up basics of algebra in Mathematics
 Current IGCSE students because course is designed to cover topics of Algebra
 Current Algebra students of CBSE , ICSE board .
 Middle school, High school or early college level students
 If Algebra is always trouble for you then this course is specially for you as it will teach from very basics to in depth knowledge giving lots of practice through solving problems
 Students who wants to learn all types of factorisation especially middle term split
 High school students who have gaps in their knowledge and would like to fill them with basics

Lecture 1 Intro video Algebra Introduction final00:02:00

Lecture 2 Terminology used in Algebra00:05:00

Lecture 3 Language of Algebra00:06:00

Lecture 4 Practice Questions00:06:00

Lecture 5 Finding numerical value of an algebraic expression00:14:00

Lecture 6 Revision of Directed number ( integers00:06:00

Lecture 7 Addition and subtraction of monomial expressions00:06:00

Lecture 8 Addition of algebraic expressions with many terms00:10:00

Lecture 9 Subtraction of algebraic expressions00:10:00

Lecture 10 The rules of Indices in algebra00:11:00

Lecture 11 Fractional indices00:10:00

Lecture 12 Understanding indices (practice questions)00:07:00

Lecture 13 Problems from IGCSE Last year papers00:09:00

Lecture 14 Multiplication of monomial algebraic expressions00:05:00

Lecture 15 Multiplication of monomial with binomials and trinomials00:11:00

Lecture 16 Division of algebraic expression by a monomial00:07:00

Lecture 17 Division of algebraic expression by another polynomial00:09:00

Lecture 18 Division of a polynomial by another polynomial with remainder00:11:00

Lecture 19 Rules of brackets00:04:00

Lecture 20 Simplification by removing brackets00:11:00

Lecture 21 Simplification of algebraic fractions00:07:00

Lecture 22 Rules to solve linear equations in one variable00:03:00

Lecture 23 Solving linear equations in one variable00:07:00

Pefect your Algebra Fundamentals00:10:00

Lecture 25 Word problems on linear equations in one variable00:13:00

Lecture 26 Standard Identities (a + b )² and (a – b )² identities00:11:00

Lecture 27 Standard Identity ( a – b ) ( a + b) = a ² – b ²00:08:00

Lecture 28 Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c00:07:00

Lecture 29 Standard Identities ( a + b ) ³ and ( a – b ) ³00:09:00

Lecture 30 Standard Identities a ³ + b ³ and a ³ – b ³00:06:00

Lecture 31 Standard Identities a ³ + b ³ + c ³ – 3 a b c00:10:00

Lecture 32 –Changing the subject of formula00:08:00

Lecture 33 Linear Inequalities00:12:00

Lecture 34 Factorization by taking out common factor00:10:00

Lecture 35 Factorization by grouping the terms00:09:00

Lecture 36 Factorize using identity a ² – b ²00:07:00

Lecture 37 Factorize using identity (a + b )² and (a – b )²00:08:00

Lecture 38 Factorize using identity ( a + b + c ) ²00:05:00

Lecture 39 Factorization by middle term split00:12:00

Lecture 40 Simplification of algebraic fractions00:06:00

Lecture 41 All that you need to know about co ordinate axis00:04:00

Lecture 42 Some important facts needed to draw line graph00:03:00

Lecture 43 How to draw a line graph on coordinate plane00:03:00

Lecture 44 Drawing line graphs00:06:00

Lecture 45 Simultaneous Linear Equations in two variables intro00:03:00

Lecture 46 Graphical method of solving linear equations00:06:00

Lecture 47 Graphical method – more sums00:10:00

Lecture 48 Method of Elimination by substitution00:09:00

Lecture 49 Method of Elimination by Equating coefficients00:11:00

Lecture 50 Method of Elimination by cross multiplication00:07:00

Lecture 51 Equations reducible to simultaneous linear equations00:12:00

Lecture 52 Word Problems on Linear equations00:18:00

Lecture 53 Polynomials and Zeros of polynomials00:10:00

Lecture 54 Remainder Theorem00:04:00

Lecture 55 Factor Theorem00:08:00

Lecture 56 Practice problems on Remainder and Factor Theorem00:09:00

Lecture 57 Factorization using factor Theorem00:10:00

Lecture 58 Zeros of polynomials α, β & γ00:10:00

Lecture 59 Relation between zeros and coefficients of a polynomials00:13:00

Lecture 60 Writing polynomials if zeros are given00:06:00

Lecture 61 Practice problems on zeros of polynomials00:10:00

Lecture 62 Problems solving with α and β (part 1)00:11:00

Lecture 63 Problems solving with α and β (part 2)00:10:00

Lecture 64 what are Quadratic equations00:03:00

Lecture 65 Solutions by factorization method00:12:00

Lecture 66 Solutions by completing square formula00:06:00

Lecture 67 Deriving Quadratic formula00:05:00

Lecture 68 Practice problems by Quadratic formula00:07:00

Lecture 69 Solving complex quadratic equations by Quadratic Formula00:11:00

Lecture 70 Solutions of reducible to Quadratic Formula00:09:00

Lecture 71 Skilled problems on Quadratic Equations00:07:00

Lecture 72 Exponential problems reducible to Quadratic Equations00:06:00

Lecture 73 Nature of Roots of Quadratic Equations00:09:00

Lecture 74 Word problems on quadratic Equations Part 100:13:00

Lecture 75 Word problems on quadratic Equations Part 200:11:00

lecture 76 word problems on Quadratic00:12:00
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