Course Description
Want to master basic algebra? Engineering, physics, pharmaceuticals and many other industries require excellent numerical skills, so it’s important to know your algebra if you want to work in these fields. This Build Your Algebra Fundamentals (New version) Course will help you gain fundamental practical skills and help you reach a higher level of learning, whether you’re a student or professional.
This essential algebra course will train you to develop your critical thinking skills, so you can become a master at problemsolving and logical reasoning. Even if you have little or no knowledge of the subject, in just a few hours, you’ll be able to tackle more advanced algebra equations and simplify equations with ease. You’ll explore all levels of algebra, including common algebraic terminology, and will get the chance to tackle beginner and advanced problems.
On course completion, you’ll have the confidence to solve simple and more complex algebraic equations, with the ability to apply your newfound skills in the workplace.
Highlights of this Build Your Algebra Fundamentals (New version) Course
 Familiarise with basic algebraic expressions and concepts
 Learn how to multiply and divide algebraic expressions
 Understand how to expand and simplify brackets
 Solve linear equations and inequalities with ease
 Expand your knowledge of algebraic identities
 Get an overview of polynomials in abstract algebra
 Familiarise with the coordinate plane and the axis of symmetry
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
Requirements
 Knowledge of Mathematics till 5th grade

Lecture 1 Introduction00:03:00

Lecture 2 What is Algebra00:02:00

Lecture 3 Simple Equations00:05:00

Lecture 4 What are Polynomials00:04:00

Lecture 5 Terms in Polynomials00:03:00

Lecture 6 Degree of Polynomials00:05:00

Lecture 7 Writing statements to algebraic form00:04:00

Lecture 8 Integers and common mistakes in solving integers00:13:00

Lecture 9 Arrangement of Terms00:07:00

Lecture 10 Powers on integers00:04:00

Lecture11 Simplification using BODMAS00:08:00

Lecture 12 Distributive Properties in Polynomials00:04:00

Lecture 13 Simplify Polynomials00:10:00

Lecture 14 Additions of Polynomials00:06:00

Lecture 15 Subtractions of Polynomials00:10:00

Lecture 16 The rules of Indices in algebra00:11:00

Lecture 17 Fractional indices00:10:00

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

Lecture 19 Problems from IGCSE Last year papers00:09:00

Lecture 20 Multiplication of monomial to Polynomial00:09:00

Lecture 21 Multiplication of Polynomial by Polynomial00:06:00

Lecture 22 Division of algebraic expression by a monomial00:08:00

Lecture 23 Division of algebraic expression by another polynomial00:09:00

Lecture 24 Division of a polynomial by another polynomial with remainder00:11:00

Lecture 25 Rules of brackets00:04:00

Lecture 26 Simplification by removing brackets00:11:00

Lecture 27 Simplification of algebraic fractions00:07:00

Lecture 28 Rules to solve linear equations in one variable00:03:00

Lecture 29 Solving linear equations in one variable00:07:00

Lecture 30 Solving complex linear equations in one variable00:10:00

Lecture 31 Word problems on linear equations in one variable00:13:00

Lecture 32 What are Identities?00:05:00

Lecture 33 Identity ( a + b ) ²00:13:00

Lecture 34 Identity ( a – b ) ² new00:07:00

Lecture 35 Identity a² – b² = (ab) (a +b ) new00:07:00

Lecture 36 — Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c old00:07:00

Lecture 37 Identity (x + a) (x + b) Identity Derivation & Application new00:08:00

Lecture 38 Pascal’s Triangle _ Identity ( a + b ) ³ new00:07:00

Lecture 39 Identities( a – b ) ³, ( a ³ + b ³) and (a ³ – b ³) new00:13:00

Lecture 40 — Standard Identities a ³ + b ³ + c ³ – 3 a b c00:10:00

Lecture 41 –Changing the subject of formula00:08:00

Lecture 42 – Linear Inequalities00:12:00

Lecture 43 – Factorization by taking out common factor00:10:00

Lecture 44 – Factorization by grouping the terms00:09:00

Lecture 45 – factorize using identity a ² – b ²00:07:00

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

Lecture 47 – factorize using identity ( a + b + c ) ²00:05:00

Lecture 48 – factorization by middle term split00:12:00

Lecture 49 –Simplification of algebraic fractions00:06:00

Lecture 50 All that you need to know about co ordinate axis00:04:00

Lecture 51 Some important facts needed to draw line graph00:03:00

Lecture 52 – How to draw a line graph on coordinate plane00:03:00

Lecture 53 Drawing line graphs00:06:00

Lecture 54 Simultaneous Linear Equations in two variables intro00:03:00

Lecture 55 Graphical method of solving linear equations00:06:00

Lecture 56 Graphical method – more problems00:10:00

Lecture 57 Method of Elimination by substitution00:09:00

Lecture 58 Method of Elimination by Equating coefficients00:11:00

Lecture 59 Method of Elimination by cross multiplication00:07:00

Lecture 60 Equations reducible to simultaneous linear equations00:12:00

Lecture 61 Word Problems on Linear equations00:18:00

Lecture 62 Polynomials and Zeros of polynomials00:10:00

Lecture 63 Remainder Theorem00:04:00

Lecture 64 Factor Theorem00:08:00

Lecture 65 Practice problems on Remainder and Factor Theorem00:09:00

Lecture 66 Factorization using factor Theorem00:10:00

Lecture 67 Zeros of polynomials α, β & γ00:10:00

Lecture 68 Relation between zeros and coefficients of a polynomials00:13:00

Lecture 69 Finding polynomials if zeros are known00:06:00

Lecture 70 Practice problems on zeros of polynomials00:10:00

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

Lecture73 what are Quadratic equations00:03:00

Lecture 74 Solutions by factorization method00:12:00

Lecture 75 Solutions by completing square formula00:06:00

Lecture 76 Deriving Quadratic formula00:05:00

Lecture 77 Practice problems by Quadratic formula00:07:00

Lecture 78 Solving complex quadratic equations by Quadratic Formula00:11:00

Lecture 79 Solutions of reducible to Quadratic Formula00:09:00

Lecture 80 Skilled problems on Quadratic Equations00:07:00

Lecture 81 Exponential problems reducible to Quadratic Equations00:06:00

Lecture 82 Nature of Roots of Quadratic Equations00:09:00

Lecture 83 Word problems on quadratic Equations Part 100:13:00

Lecture 84 Word problems on quadratic Equations Part 200:11:00
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