**Perfect your Algebra Fundamentals**

English | MP4 | AVC 1280×720 | AAC 44KHz 2ch | 11 Hours | 1.46 GB

Algebra/Algebra 1/Math builds strong foundation in Math,Pre-algebra & Algebra 1 for University entrance/competitive Math

Sometimes Algebra remains week part of your math skills, in that case you start thinking of leaving Math in early stages of your education. It becomes the reason for many career options becomes closed for you. Due to weak foundation of algebra, it becomes tough to clear entrance exams like SAT/GMAT/GRE/ACT/University entrance.

This course is going to build strong foundation of algebraic skills within a few hours. This course is helping you to get equipped with major techniques to tackle higher Algebra easily and is stepping stone to your journey towards higher Math and makes you confident in Mathematics.

The course covers all the fundamental concepts of Algebra and is designed for anyone with little or no previous knowledge of the topic. So no more struggle with Algebra.

The course consists of 84 video lectures divided into 17 sections along with a variety of easy and difficult problems for each section. As the course progresses, basic facts, concepts, terms, principles and application are added to help the student understand the topics in the best way. In most of the lectures, theory is explained in an interactive and practical format and then further explained with questions to ensure a good grasp on the topic.

Course Covers

- Basic Terminology of Algebra
- Finding Numerical Value of Algebraic Expressions
- Addition and Subtraction of Algebraic Expressions
- Multiplication and Division of Algebraic Expressions
- Directed Numbers (Integers)
- Higher Indices (Exponent)
- Brackets in Algebra
- Linear Equations in One Variables
- Identities
- Change of Subject of Formula
- Linear Inequalities
- Factorization
- Simplification of Algebraic Fractions
- Coordinate Axis –Points and Line Graph
- Simultaneous Linear Equations in Two Variables
- Quadratic Equations

Curriculum of the course is aligned with all the boards so any body from any country can take the course. You’ll learn the skills quickly and effectively with no time wastage.

What you’ll learn

- Higher Indices – Laws of Indices (Exponent)
- Formula – Change the subject of formula
- Rational Expressions – Simplification of Algebraic Fractions to its lowest form
- BODMAS – Adding and removing brackets in algebraic expressions
- Graphs – Coordinate Axis, Points and Line Graph
- Linear equations in one variable and word problems
- Linear Inequalities
- Simultaneous linear equations- Graphical method, Substitution method, Equating coefficient & cross multiplication method
- Graphical method of solving simultaneous linear equations
- Word problems with the help of simultaneous linear equations
- Quadratic equations using Factorization method and Quadratic Formula
- Quadratic equations using squaring complete method
- Equations reducible to quadratic equations
- Word problems of Quadratic equations
- Quadratic polynomials
- Knowledge of nature of roots of quadratic equations
- Zeros of polynomials α, β & γ
- Addition, Subtraction,Multiplication and Division of Algebraic Expressions
- Remainder Theorem & Factor Theorem
- Directed Numbers (Integers)
- Finding Numerical Value of Algebraic Expressions
- Factorization Techniques like common factors, regrouping , splitting the middle term and using identities
- Algebraic Identities like ( a – b ) ² , ( a + b ) ³ , a ³ – b ³ , ( a + b + c ) ² etc

**Table of Contents**

**Introduction**

1 Introduction

**Fundamental concepts on Algebraic Expressions**

2 What is Algebra

3 Simple Equations

4 What are Polynomial

5 Terms in Polynomials

6 Degree of Polynomials

7 Writing statements to algebraic form

**Operations on Algebraic Expressions**

8 Integers and common mistakes in solving integers

9 Arrangement of Terms

10 Powers on integers

11 Simplification using BODMAS

12 Distributive Properties in Polynomials

13 Simplify Polynomials

14 Additions of Polynomials

15 Subtractions of Polynomials

**Indices ( Exponents)**

16 The rules of Indices in algebra

17 Understanding Indices ( Practice Questions )

18 Fractional Indices

19 Problems from I G C S E last years papers

**Multiplication and Division of Algebraic expressions**

20 Multiplication of monomial to Polynomial

21 Multiplication of Polynomial by Polynomial

22 Division of algebraic expressions by a monomial

23 Division of a polynomial by another polynomial

24 Division of a polynomial by another polynomial with remainder

**Brackets in Algebra**

25 Rules of brackets

26 Simplification by removing brackets

**Linear equations in one variable**

27 Simplification of algebraic fractions

28 Rules to solve linear equations in one variable

29 Solving linear equations in one variable

30 Solving Linear equations with fractions using cross multiplication

31 Word Problems on Linear equations in one variable

**Algebraic Identities**

32 What are Identities

33 Standard Identity ( a b ) 2

34 Standard Identity ( a – b ) 2

35 Standard Identity a2 – b2 (a-b) (a b )

36 Standard Identity ( a b c ) 2 a 2 b 2 c 2 2 a b 2 a c 2bc

37 Identity (x a) (x b) Identity Derivation Application

38 Pascals Triangle Identity ( a b ) 3

39 Identities( a – b ) 3 ( a 3 b 3) and (a 3 – b 3)

40 Standard Identity a 3 b 3 c 3 – 3 a b c

**Formula Change of subject of formula**

41 Changing the subject of the formula

**Linear Inequalities**

42 Linear Inequalities

**Resolve into factors**

43 Factorization by taking out common factor

44 Factorization by grouping the terms

45 Factorize using identity a2 – b2

46 Factorization using ( a – b ) 2 ( a b ) 2

47 Factorization by ( a b c ) 2

48 Factorization by middle term split

**Algebraic Fractions**

49 Simplification of Algebraic fractions with the help of factorization

**Coordinate axis points and Line graph**

50 All that you need to know about Co-ordinate axis

51 Some Important facts needed to draw line graph

52 How to draw a line graph on coordinate plane

53 Drawing Line graphs

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

54 simultaneous linear equations in two variables – Intro and methods

55 Graphical method of solving linear equations

56 Graphical method – more problems

57 Method of elimination by substitution

58 Method of elimination by equating the coefficients

59 Method of elimination by cross multiplication

60 Equations reducible to simultaneous linear equations

61 Word Problems on simultaneous Linear equations in two variable

**Polynomials**

62 Polynomials and Zeros of polynomials

63 Remainder Theorem

64 Factor Theorem

65 Practice problems on Remainder and Factor Theorem

66 Factorization using factor Theorem

**Quadratic Polynomials**

67 Zeros of polynomials 945 946 947

68 Relation between zeros and coefficients of polynomials

69 Finding polynomials if zeros are known

70 Practice problems based on zeros of the polynomials

71 Problems solving with 945 and 946 (part 1)

72 Problems solving with 945 and 946 (part 2)

**Quadratic Equations**

73 What are Quadratic Equations

74 Solutions by Factorization method

75 Solutions by completing square method

76 Deriving Quadratic Formula

77 Practice Problems by Quadratic Formula

78 Solving complex quadratic equations by Quadratic Formula

79 Solutions of reducible to Quadratic Formula

80 Skilled problems on Quadratic Equations

81 Exponential problems reducible to Quadratic Equations

82 Nature of Roots of Quadratic Equations

83 Word problems on quadratic Equations Part 1

84 Word problems on quadratic Equations Part 2

**BONUS LECTURE Course Coupons**

85 BONUS LECTURE Course Coupons

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