Course Curriculum
 14 sections
 193 lectures
 1 day, 3 hours total length

About Course00:02:00

Quick Guide00:01:00

Topics of Essential Revision – 1

Negative numbers and operations on Integers00:14:00

The rules of Indices in Algebra00:11:00

Working with indices Part 100:10:00

Working with indices Part 200:08:00

Fractional Indices00:12:00

What are Polynomials?00:07:00

Writing statements in Algebraic Form00:06:00

Simplification using BODMAS00:08:00

Distributive Property00:07:00

Addition of Algebraic expressions00:13:00

Subtraction of Algebraic expressions00:12:00

Multiplication of Algebraic Expressions Part 100:05:00

Multiplication of Algebraic Expressions Part 200:05:00

Multiplication of Algebraic Expressions Part 300:06:00

Division of algebraic expressions Part 100:11:00

Division of algebraic expressions Part 200:10:00

Division of algebraic expressions Part 300:07:00

Topics of Essential Revision – 2

Factorization by method of common factor00:13:00

Factorization by regrouping the terms00:10:00

Factorization by difference of two squares00:11:00

Factorization using identity (a + b) ² and (a – b) ²00:10:00

Factorization using identity (a + b + c) ²00:05:00

Factorization by middle term split Part 100:12:00

Factorization by middle term split Part 200:09:00

Simultaneous Linear Equations00:07:00

Graphical Method00:06:00

Graphical method Continued00:11:00

Elimination by substitution Method00:09:00

Equating the coefficients Method00:11:00

Cross Multiplication00:10:00

Equations Reducible to Linear Equations100:08:00

Equations Reducible to Linear Equations200:14:00

Introduction to Quadratic Equations00:05:00

Solving Quadratic Equations by Factorization method00:09:00

Writing in completed square form00:07:00

Solving by completed square method00:08:00

Sketching of Quadratic Graphs00:12:00

Quadratic graphs using Transformations00:06:00

Quadratic inequalities00:11:00

Deriving Quadratic formula00:05:00

Solving problems using Quadratic Formula00:06:00

Nature of Roots Part – 100:05:00

Nature of roots Part – 200:12:00

Downloadable Resources

Distance formula00:18:00

Mid point formula00:05:00

Gradient of a line00:11:00

Graphing using gradient and y intercept00:03:00

Some standard lines00:05:00

Slope intercept form y = m x +c00:06:00

Point slope form and two point form00:11:00

Intersection of line and parabola00:10:00

Past Papers Problems Part 100:09:00

Past Papers Problems Part 200:11:00

Past Papers Problems Part 300:09:00

Past Papers Problems Part 400:12:00

Past Papers Problems Part 500:12:00

Downloadable Resources

Sequence and series ( video)00:08:00

Arithmetic Sequence00:10:00

General term of an A.P.00:07:00

Finding given term is which term00:05:00

Writing sequence when two terms are known00:08:00

Condition for three terms to be in A.P.00:05:00

Sum to n terms of A.P.00:06:00

Practice Problems 1 (A.P.)00:09:00

Practice problems 2 (A.P.)00:07:00

Practice problems 3 (A.P.)00:07:00

Practice problems 4 (A.P.)00:11:00

Geometric Progressions00:12:00

Sum to n terms in G.P.00:14:00

Sum to infinite Terms in G.P.00:13:00

Practice Problems 1 (GP)00:15:00

Practice Problems 2 (GP)00:12:00

Practice Problems 3 (GP)00:07:00

Practice Problems based on AP and GP both00:15:00

Past papers problems 100:17:00

Past papers problems 200:10:00

Past papers problems 300:11:00

Downloadable Resources

Geometric Progressions – Resources

What is Factorial?00:07:00

nchoose –r problems00:07:00

Properties of n – choose r00:05:00

Binomial Theorem for positive index00:20:00

Expanding using Binomial Theorem00:11:00

Finding the indicated term in the Binomial expansion00:11:00

Finding the indicated term from end00:09:00

Finding the coefficient for given exponent (index) of the variable00:09:00

Finding the term independent of variable00:05:00

Expanding in increasing and decreasing powers of x00:09:00

Practice problems 100:12:00

Practice Problems 200:09:00

Practice problems 300:10:00

Past papers problems 100:15:00

Past Paper problems 200:13:00

Past Paper problems 300:09:00

Downloadable Resources

What is Function?00:08:00

Vertical Line Test00:04:00

Value of a Function Graphically00:08:00

Domain Range of a function Algebraically00:14:00

Domain Range of a function Graphically00:07:00

Even & Odd Functions00:07:00

One to one Function00:05:00

Composite Functions00:09:00

How to draw Rational Functions 100:05:00

How to draw Rational Functions 200:10:00

Inverse of a function Algebraically00:05:00

Inverse of a function Graphically00:09:00

Practice Problems 100:16:00

Practice Problems 200:11:00

Downloadable Resources

What is Derivative?00:08:00

Derivation of formula for Derivative00:06:00

Differentiation by definition or First Principle00:07:00

Power Rule00:22:00

Practice Problems on Power Rule 100:07:00

Practice Problems on Power Rule 200:07:00

Practice Problems on Power Rule 300:05:00

Practice Problems on Power Rule 400:13:00

Practice Problems on Power Rule 500:08:00

Downloadable Resources

Tangents and Normals Basics00:13:00

Practice Tangents and Normals Part 100:16:00

Practice Tangents and Normals Part 200:13:00

Practice Tangents and Normals Part 300:11:00

Practice Tangents and Normals Part 400:14:00

Downloadable Resources

Stationary Points – Basics00:13:00

Practice Increasing Decreasing & Maxima Minima part 100:11:00

Practice Increasing Decreasing & Maxima Minima part 200:12:00

Practice Increasing Decreasing & Maxima Minima part 300:10:00

Downloadable Resources

ConcavityBasics00:02:00

Concavity & Second Derivative00:08:00

Second Derivative Test00:09:00

Practice Problems on second derivative00:04:00

Practice Problem of Maxima Minima using second derivative test Part 100:17:00

Practice Problem of Maxima Minima using second derivative test Part 200:10:00

Practice Problem of Maxima Minima using second derivative test Part 300:07:00

Practice Problem of Maxima Minima using second derivative test Part 400:07:00

Applications of Maxima and Minima Part 100:09:00

Applications of Maxima and Minima Part 200:07:00

Applications of Maxima and Minima Part 300:10:00

Applications of Maxima and Minima Part 400:09:00

Applications of Maxima and Minima Part 500:10:00

Applications of Maxima and Minima Part 600:08:00

Past Paper Problems on applications of maxima and minima Part 100:09:00

Past Paper Problems on applications of maxima and minima Part 200:09:00

Past Paper Problems on applications of maxima and minima Part 300:08:00

Past Paper Problems on applications of maxima and minima Part 400:07:00

Chain Rule00:12:00

Rate of change part 100:05:00

Rate of change part 200:10:00

Rate of change part 300:07:00

Past Paper Problems using chain rule 100:06:00

Past Paper Problems using chain rule 200:07:00

Past Paper Problems using chain rule – 300:07:00

Past Paper Problems using chain rule – 400:04:00

Downloadable Resources

What is Integration?00:12:00

Practice Questions 100:06:00

Practice Questions 200:09:00

Practice Questions 300:09:00

Fundamental Theorem of Calculus00:09:00

What is Definite Integration?00:10:00

Finding Definite Integration00:09:00

Practice Questions on Definite Integration 100:10:00

Practice Questions on Definite Integration 200:10:00

Practice Questions on Definite Integration 300:15:00

Area below xaxis00:12:00

Practice Problems on Area below xaxis 100:11:00

Practice Problems on Area below xaxis 200:13:00

Practice Problems on Area below xaxis 300:09:00

Practice Problems on Area below xaxis 400:07:00

Area between two curves (Basics)00:15:00

Practice Problems on Area between two curves 100:06:00

Practice Problems on Area between two curves 200:13:00

Practice Problems on Area between two curves 300:12:00

Practice Problems on Area between two curves 400:10:00

Practice Problems on Area between two curves 500:13:00

The Reverse Chain Rule Indefinite Integration00:06:00

The Reverse Chain Rule Definite Integration00:05:00

Practice Problems on The Reverse Chain Rule00:09:00

Improper Integrals00:06:00

Volumes by Integration00:08:00

Practice Problems on Volumes by Integration100:04:00

Practice Problems on Volumes by Integration200:04:00