Curriculum of Maths : Fundamentals, Algebra and Maths Tricks Bundle
***Course 01: Math Fundamentals***
Integers (Directed Numbers)
- Introduction
- Number system
...and many more
Factors and Multiples
- Complete knowledge about factors and multiples
- Divisibility tests for 2,3,4,5,6
...and many more
Fractions
- Classification of Fractions
- Convert mixed to improper and improper to mixed fractions
...and many more
Simplification Rule : BODMAS
- Bodmas and rules to remove brackets
- simplify expressions using BODMAS rules
- simplify expressions involving fractions using BODMAS
Decimal numbers
- Decimal numbers in relation to fractions
- Like and unlike Decimals
...and many more
Rational Numbers
- Rational number
- Representation of Rational Numbers on Number line
...and many more
Irrational Numbers
Approximation
- Rounding to whole number
- Rounding to required number of decimals (1 d.p. )
...and many more
Estimation and Scientific Notation or Standard form
- Estimation
- Scientific Notation
- Operation on numbers when they are in scientific notation
Percentage
- Percentage to fraction and fraction to percentage
- Percentage of a quantity and conversation to decimal
...and many more
Ratio and Proportion
- Ratio- How to express as simple ratio
- How to compare Ratios
...and many more
Unitary Method and its Applications
- Direct Variation (or proportion)
- Problems based on Direct proportion
...and many more
Profit , Loss, discount and Tax
- Basics – Profit and Loss
- More practice problems on Profit _ Loss
...and many more
***Course 02: Algebra Fundamentals***
Introduction
Fundamental concepts on Algebraic Expressions
- Lecture 2 What is Algebra
- Lecture 3 Simple Equations
...and many more
Operations on Algebraic Expressions
- Lecture 8 Integers and common mistakes in solving integers
- Lecture 9 Arrangement of Terms
...and many more
Indices ( Exponents)
- Lecture 16 The rules of Indices in algebra
- Lecture 17 Fractional indices
...and many more
Multiplication and Division of Algebraic expressions
- Lecture 20 Multiplication of monomial to Polynomial
- Lecture 21 Multiplication of Polynomial by Polynomial
...and many more
Brackets in Algebra
- Lecture 25 Rules of brackets
- Lecture 26 Simplification by removing brackets
Linear equations in one variable
- Lecture 27 Simplification of algebraic fractions
- Lecture 28 Rules to solve linear equations in one variable
...and many more
Algebraic Identities
- Lecture 32 What are Identities?
- Lecture 33 Identity ( a + b ) ²
...and many more
Formula : Change of subject of formula
- Lecture 41 –Changing the subject of formula
Linear Inequalities
- Lecture 42 – Linear Inequalities
Resolve into factors
- Lecture 43 – Factorization by taking out common factor
- Lecture 44 – Factorization by grouping the terms
...and many more
Algebraic Fractions
- Lecture 49 –Simplification of algebraic fractions
Coordinate axis – points and Line graph
- Lecture 50 All that you need to know about co ordinate axis
- Lecture 51 Some important facts needed to draw line graph
...and many more
System of simultaneous linear equations in two variables
- Lecture 54 Simultaneous Linear Equations in two variables- intro
- Lecture 55 Graphical method of solving linear equations
...and many more
Polynomials
- Lecture 62 Polynomials and Zeros of polynomials
- Lecture 63 Remainder Theorem
...and many more
Quadratic Polynomials
- Lecture 67 Zeros of polynomials a, ß & ?
- Lecture 68 Relation between zeros and coefficients of a polynomials
...and many more
Quadratic Equations
- Lecture73 what are Quadratic equations
- Lecture 74 Solutions by factorization method
...and many more
***Course 03: Ultimate Guide to Discrete Mathematics***
Sets
- Introduction to Sets
- Definition of Set
- Number Sets
...and many more
Logic
- Introduction
- Statements
- Compound Statements
...and many more
Number Theory
- Introduction
- Parity
- Divisibility
...and many more
Proof
- Intro
- Terminologies
- Direct Proofs
...and many more
Functions
- Intro
- Functions
- Evaluating a Function
...and many more
Relations
- Intro
- The Language of Relations
- Relations on Sets
...and many more
Graph Theory
...and many more
Statistics
...and many more
Combinatorics
...and many more
Sequence and Series
- Intro
- Sequence
- Arithmetic Sequences
...and many more
***Course 04: Quick Maths Tricks for Competitive Exams***
Introduction
Geometry
- Lines and Angles (Basics)
- Parallel lines (Basics)
- Practice Problems 1 (Lines and Angles)
...and many more
Areas
- Areas of Parallelogram & Triangle 1
- Areas of Parallelogram _ Triangle 2
...and many more
Mensuration of 2 dimensional figures
- Mensuration Formulae
- Practice problems on 2-d figures
...and many more
Practice Test (Check your knowledge of Geometry)
Concept of Unit Digit
- Lecture 32 What is Unit Digit?
- How to find unit digit of numbers with exponents
- Practice Problems based on Unit Digit
Simplification Problems-1
- Simplifications based on Percentages
- Simplification based on Exponents
...and many more
Crack Simplification Problems-2
- Lecture 41 Simplification Problems Type 1
- Simplification problems Type 1
...and many more
Simplification using Digital sum
- What is Digital Sum
- Lecture 44 What is Digital Sum?
...and many more
Time and Work
- Lecture 49 Simplification Problems using Digital Sum -2
- Lecture 50 Resources Download 1
...and many more
Pipes and Cisterns
- Lecture 62 Resources Download 1
- Basics of Pipes and Cisterns
...and many more
Speed , Distance and Time
- Lecture 69 Speed, Distance and Time Resources Download
- Basic Concepts and Simple Problems
...and many more
Boats and Streams
- Lecture 76 Boats and Streams
- Basics of Boats and Streams
...and many more
Percentage
- Percentage Basics 1
- Percentage Basics 2
...and many more
Word Problems
- Lecture 87 Problems Based on Marks in Examination
- Problems Based on Price and Quantity 1
...and many more
***Course 05: High School Math Teacher***
Introduction
Functions
- What is Function?
- Vertical Line Test
...and many more
Quadratic Equations
- Introduction to Quadratic Equations
- Solving Quadratic Equations by Factorization method
...and many more
Co-ordinate Geometry
- Distance formula
- Mid point formula
...and many more
Sequence and series
- Sequence and series ( video)
- Arithmetic Sequence
...and many more
Binomial Theorem
- What is Factorial?
- n-choose –r problems
...and many more
Differentiation
- What is Derivative?
- Derivation of formula for Derivative
...and many more
Tangents and Normals
- Tangents and Normals- Basics
- Practice- Tangents and Normals Part 1
...and many more
Stationary Points & Curve Sketching
- Stationary Points – Basics
- Practice- Increasing Decreasing & Maxima Minima part 1
...and many more
Second Derivative Test (Maximum & Minimum Points)
- Concavity-Basics
- Concavity & Second Derivative
...and many more
Simultaneous Linear equations
- Graphical Method of solving pair of linear equations
- Video lecture on Graphical method
...and many more
Essential Revision
- How to take up this course?
- Background of Algebra
...and many more
Certification
Once you have successfully completed the course, you will be awarded a certificate of completion as an evidence of your achievement. The certificate is recognised both nationally and globally by potential employers of relevant industries. You have the option to choose a PDF certificate for just £4, or hard copy certificates at a £12 processing fee, or both.
