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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 step-by-step 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

Course Curriculum

Introduction
Lecture 1 Intro video Algebra Introduction final 00:02:00
Fundamental concepts on Algebraic Expressions
Lecture 2 Terminology used in Algebra 00:05:00
Lecture 3 Language of Algebra 00:06:00
Lecture 4 Practice Questions 00:06:00
Lecture 5 Finding numerical value of an algebraic expression 00:14:00
Operations on Algebraic Expressions
Lecture 6 Revision of Directed number ( integers 00:06:00
Lecture 7 Addition and subtraction of monomial expressions 00:06:00
Lecture 8 Addition of algebraic expressions with many terms 00:10:00
Lecture 9 Subtraction of algebraic expressions 00:10:00
Indices ( Exponents)
Lecture 10 The rules of Indices in algebra 00:11:00
Lecture 11 Fractional indices 00:10:00
Lecture 12 Understanding indices (practice questions) 00:07:00
Lecture 13 Problems from IGCSE Last year papers 00:09:00
Multiplication and Division of Algebraic expressions
Lecture 14 Multiplication of monomial algebraic expressions 00:05:00
Lecture 15 Multiplication of monomial with binomials and trinomials 00:11:00
Lecture 16 Division of algebraic expression by a monomial 00:07:00
Lecture 17 Division of algebraic expression by another polynomial 00:09:00
Lecture 18 Division of a polynomial by another polynomial with remainder 00:11:00
Brackets in Algebra
Lecture 19 Rules of brackets 00:04:00
Lecture 20 Simplification by removing brackets 00:11:00
Linear equations in one variable
Lecture 21 Simplification of algebraic fractions 00:07:00
Lecture 22 Rules to solve linear equations in one variable 00:03:00
Lecture 23 Solving linear equations in one variable 00:07:00
Lecture 24 Solving complex linear equations in one variable 00:10:00
Lecture 25 Word problems on linear equations in one variable 00:13:00
Algebraic Identities
Lecture 26 Standard Identities (a + b )² and (a – b )² identities 00:11:00
Lecture 27 Standard Identity ( a – b ) ( a + b) = a ² – b ² 00:08:00
Lecture 28 Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c 00:07:00
Lecture 29 Standard Identities ( a + b ) ³ and ( a – b ) ³ 00:09:00
Lecture 30 Standard Identities a ³ + b ³ and a ³ – b ³ 00:06:00
Lecture 31 Standard Identities a ³ + b ³ + c ³ – 3 a b c 00:10:00
Formula : Change of subject of formula
Lecture 32 –Changing the subject of formula 00:08:00
Linear Inequalities
Lecture 33 Linear Inequalities 00:12:00
Resolve into factors
Lecture 34 Factorization by taking out common factor 00:10:00
Lecture 35 Factorization by grouping the terms 00:09:00
Lecture 36 Factorize using identity a ² – b ² 00:07:00
Lecture 37 Factorize using identity (a + b )² and (a – b )² 00:08:00
Lecture 38 Factorize using identity ( a + b + c ) ² 00:05:00
Lecture 39 Factorization by middle term split 00:12:00
Algebraic Fractions
Lecture 40 Simplification of algebraic fractions 00:06:00
Coordinate axis – points and Line graph
Lecture 41 All that you need to know about co ordinate axis 00:04:00
Lecture 42 Some important facts needed to draw line graph 00:03:00
Lecture 43 How to draw a line graph on coordinate plane 00:03:00
Lecture 44 Drawing line graphs 00:06:00
System of simultaneous linear equations in two variables
Lecture 45 Simultaneous Linear Equations in two variables- intro 00:03:00
Lecture 46 Graphical method of solving linear equations 00:06:00
Lecture 47 Graphical method – more sums 00:10:00
Lecture 48 Method of Elimination by substitution 00:09:00
Lecture 49 Method of Elimination by Equating coefficients 00:11:00
Lecture 50 Method of Elimination by cross multiplication 00:07:00
Lecture 51 Equations reducible to simultaneous linear equations 00:12:00
Lecture 52 Word Problems on Linear equations 00:18:00
Polynomials
Lecture 53 Polynomials and Zeros of polynomials 00:10:00
Lecture 54 Remainder Theorem 00:04:00
Lecture 55 Factor Theorem 00:08:00
Lecture 56 Practice problems on Remainder and Factor Theorem 00:09:00
Lecture 57 Factorization using factor Theorem 00:10:00
Quadratic Polynomials
Lecture 58 Zeros of polynomials α, β & γ 00:10:00
Lecture 59 Relation between zeros and coefficients of a polynomials 00:13:00
Lecture 60 Writing polynomials if zeros are given 00:06:00
Lecture 61 Practice problems on zeros of polynomials 00:10:00
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
Quadratic Equations
Lecture 64 what are Quadratic equations 00:03:00
Lecture 65 Solutions by factorization method 00:12:00
Lecture 66 Solutions by completing square formula 00:06:00
Lecture 67 Deriving Quadratic formula 00:05:00
Lecture 68 Practice problems by Quadratic formula 00:07:00
Lecture 69 Solving complex quadratic equations by Quadratic Formula 00:11:00
Lecture 70 Solutions of reducible to Quadratic Formula 00:09:00
Lecture 71 Skilled problems on Quadratic Equations 00:07:00
Lecture 72 Exponential problems reducible to Quadratic Equations 00:06:00
Lecture 73 Nature of Roots of Quadratic Equations 00:09:00
Lecture 74 Word problems on quadratic Equations Part 1 00:13:00
Lecture 75 Word problems on quadratic Equations Part 2 00:11:00
lecture 76 word problems on Quadratic 00:12:00
Mock Exam
Final Exam

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