202021 As Furthermath Jyothi
This class meets 5 times a week and will cover Pure Math 1 and 3 for the Alevel.
The textbook is Pure Mathematics 2 & 3 by Sue Pemberton and Julianne Hughes published by the Cambridge University Press.
(Reference will also be made to Pure Mathematics 1 by Sue Pemberton)
Table of Contents

June
Some pending material from Pure Math 1 Ch. 15
 Functions
 Quadratics
 Coordinate geometry
 Circular measure and trigonometry
 Trigonometry
Trigonometry
(Chapter 3, two weeks)
We have seen most of this in Additional Mathematics. The main things we will focus on are:
 Inverse functions
 Trigonometric ratios of sums ('compound angle formulae'): $\sin(a+b)$ etc
 'Double angle formulae': $\sin(2a)$ etc
July
Vectors
(Chapter 9, two weeks)
 Review and problems
 Scalar product of two vectors
Series
(one week. A quick review from PM1 Chapter 6)
Permutations and Combinations
(one week. Review from Stat 1 Chapter 5)
August
Numerical solutions of equations
(Chapter 6, one week)
 Using graphs
 Iterative solutions and ideas of convergence
 Application and some problems
Complex Numbers
(Chapter 11, two weeks)
 What is a complex number and why are they useful?Cartesian vs polar form
 What are the 'real' and 'imaginary' parts? Representation on an 'Argand' diagram
 Operations on complex numbers in cartesian form (+,,x,รท, conjugation) and their geometric interpretation
 Square roots of a complex number
September
Differentiation
(Chapter 4, three weeks)
 Review from PM1. Chapters 7 & 8
 Formal introduction to the idea of limits
 Differentiation of parametric and implicit functions
 Differentiation of trigonometric functions (including compound angle and inverse functions)
Further Algebra
(Chapter 7, two weeks)
 Partial fractions
 Binomial expansions with non+veinteger powers
October
Integration
(Chapter 5, three weeks)
 Volume of revolution
 Integration of trigonometric functions (including compound angle)
Further Calculus
(Chapter 8, two weeks)
 Integration by substitution
 Integration by parts
 Integration using partial fractions
November
Differential equations
(Chapter 10, two weeks)
 Repeated integration
 Basic variable separable equations
 Using initial conditions
December
Solve old papers
January
Revision and some timed tests
Mock exam
February
Final Exams