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Build Your Algebra Fundamentals (New version)
By iStudy UK
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Highlights
On-Demand course
11 hours 9 minutes
All levels
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 problem-solving 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
Introduction | |||
Lecture 1 Introduction | FREE | 00:03:00 | |
Fundamental concepts on Algebraic Expressions | |||
Lecture 2 What is Algebra | FREE | 00:02:00 | |
Lecture 3 Simple Equations | 00:05:00 | ||
Lecture 4 What are Polynomials | 00:04:00 | ||
Lecture 5 Terms in Polynomials | 00:03:00 | ||
Lecture 6 Degree of Polynomials | 00:05:00 | ||
Lecture 7 Writing statements to algebraic form | 00:04:00 | ||
Operations on Algebraic Expressions | |||
Lecture 8 Integers and common mistakes in solving integers | 00:13:00 | ||
Lecture 9 Arrangement of Terms | 00:07:00 | ||
Lecture 10 Powers on integers | 00:04:00 | ||
Lecture11 Simplification using BODMAS | 00:08:00 | ||
Lecture 12 Distributive Properties in Polynomials | 00:04:00 | ||
Lecture 13 Simplify Polynomials | 00:10:00 | ||
Lecture 14 Additions of Polynomials | 00:06:00 | ||
Lecture 15 Subtractions of Polynomials | 00:10:00 | ||
Indices ( Exponents) | |||
Lecture 16 The rules of Indices in algebra | 00:11:00 | ||
Lecture 17 Fractional indices | 00:10:00 | ||
Lecture 18 Understanding indices (practice questions) | 00:07:00 | ||
Lecture 19 Problems from IGCSE Last year papers | 00:09:00 | ||
Multiplication and Division of Algebraic expressions | |||
Lecture 20 Multiplication of monomial to Polynomial | 00:09:00 | ||
Lecture 21 Multiplication of Polynomial by Polynomial | 00:06:00 | ||
Lecture 22 Division of algebraic expression by a monomial | 00:08:00 | ||
Lecture 23 Division of algebraic expression by another polynomial | 00:09:00 | ||
Lecture 24 Division of a polynomial by another polynomial with remainder | 00:11:00 | ||
Brackets in Algebra | |||
Lecture 25 Rules of brackets | 00:04:00 | ||
Lecture 26 Simplification by removing brackets | 00:11:00 | ||
Linear equations in one variable | |||
Lecture 27 Simplification of algebraic fractions | 00:07:00 | ||
Lecture 28 Rules to solve linear equations in one variable | 00:03:00 | ||
Lecture 29 Solving linear equations in one variable | 00:07:00 | ||
Lecture 30 Solving complex linear equations in one variable | 00:10:00 | ||
Lecture 31 Word problems on linear equations in one variable | 00:13:00 | ||
Algebraic Identities | |||
Lecture 32 What are Identities? | 00:05:00 | ||
Lecture 33 Identity ( a + b ) ² | 00:13:00 | ||
Lecture 34 Identity ( a - b ) ² new | 00:07:00 | ||
Lecture 35 Identity a² - b² = (a-b) (a +b ) new | 00:07:00 | ||
Lecture 36 -- Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c old | 00:07:00 | ||
Lecture 37 Identity (x + a) (x + b) Identity Derivation & Application new | 00:08:00 | ||
Lecture 38 Pascal's Triangle _ Identity ( a + b ) ³ new | 00:07:00 | ||
Lecture 39 Identities( a - b ) ³, ( a ³ + b ³) and (a ³ - b ³) new | 00:13:00 | ||
Lecture 40 - Standard Identities a ³ + b ³ + c ³ - 3 a b c | 00:10:00 | ||
Formula : Change of subject of formula | |||
Lecture 41 -Changing the subject of formula | 00:08:00 | ||
Linear Inequalities | |||
Lecture 42 - Linear Inequalities | 00:12:00 | ||
Resolve into factors | |||
Lecture 43 - Factorization by taking out common factor | 00:10:00 | ||
Lecture 44 - Factorization by grouping the terms | 00:09:00 | ||
Lecture 45 - factorize using identity a ² - b ² | 00:07:00 | ||
Lecture 46 - factorize using identity (a + b )² and (a - b )² (2) | 00:08:00 | ||
Lecture 47 - factorize using identity ( a + b + c ) ² | 00:05:00 | ||
Lecture 48 - factorization by middle term split | 00:12:00 | ||
Algebraic Fractions | |||
Lecture 49 -Simplification of algebraic fractions | 00:06:00 | ||
Coordinate axis - points and Line graph | |||
Lecture 50 All that you need to know about co ordinate axis | 00:04:00 | ||
Lecture 51 Some important facts needed to draw line graph | 00:03:00 | ||
Lecture 52 - How to draw a line graph on coordinate plane | 00:03:00 | ||
Lecture 53 Drawing line graphs | 00:06:00 | ||
System of simultaneous linear equations in two variables | |||
Lecture 54 Simultaneous Linear Equations in two variables- intro | 00:03:00 | ||
Lecture 55 Graphical method of solving linear equations | 00:06:00 | ||
Lecture 56 Graphical method - more problems | 00:10:00 | ||
Lecture 57 Method of Elimination by substitution | 00:09:00 | ||
Lecture 58 Method of Elimination by Equating coefficients | 00:11:00 | ||
Lecture 59 Method of Elimination by cross multiplication | 00:07:00 | ||
Lecture 60 Equations reducible to simultaneous linear equations | 00:12:00 | ||
Lecture 61 Word Problems on Linear equations | 00:18:00 | ||
Polynomials | |||
Lecture 62 Polynomials and Zeros of polynomials | 00:10:00 | ||
Lecture 63 Remainder Theorem | 00:04:00 | ||
Lecture 64 Factor Theorem | 00:08:00 | ||
Lecture 65 Practice problems on Remainder and Factor Theorem | 00:09:00 | ||
Lecture 66 Factorization using factor Theorem | 00:10:00 | ||
Quadratic Polynomials | |||
Lecture 67 Zeros of polynomials α, β & γ | 00:10:00 | ||
Lecture 68 Relation between zeros and coefficients of a polynomials | 00:13:00 | ||
Lecture 69 Finding polynomials if zeros are known | 00:06:00 | ||
Lecture 70 Practice problems on zeros of polynomials | 00:10:00 | ||
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 | ||
Quadratic Equations | |||
Lecture73 what are Quadratic equations | 00:03:00 | ||
Lecture 74 Solutions by factorization method | 00:12:00 | ||
Lecture 75 Solutions by completing square formula | 00:06:00 | ||
Lecture 76 Deriving Quadratic formula | 00:05:00 | ||
Lecture 77 Practice problems by Quadratic formula | 00:07:00 | ||
Lecture 78 Solving complex quadratic equations by Quadratic Formula | 00:11:00 | ||
Lecture 79 Solutions of reducible to Quadratic Formula | 00:09:00 | ||
Lecture 80 Skilled problems on Quadratic Equations | 00:07:00 | ||
Lecture 81 Exponential problems reducible to Quadratic Equations | 00:06:00 | ||
Lecture 82 Nature of Roots of Quadratic Equations | 00:09:00 | ||
Lecture 83 Word problems on quadratic Equations Part 1 | 00:13:00 | ||
Lecture 84 Word problems on quadratic Equations Part 2 | 00:11:00 |
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