Perfect your Algebra Fundamentals

Perfect your Algebra Fundamentals
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