Further Pure 2 and 3 for OCR Further Pure 2 and 3 Digital Edition (AB)

by Hugh Neill , Douglas Quadling

• ISBN13: 9780521548991
• ISBN10: 0521548993
• Format: Paperback
• Copyright: 2005-05-26
• Publisher: Cambridge University Press

Summary

Revised to match the new 2005 specification in light of comments from teachers, Cambridge Advanced Mathematics for OCR has been updated and improved to meet schools' latest requirements. Based on the current OCR series, this new edition has been carefully revised by experienced teachers and examiners to produce accessible material for the new specification. Further Pure 2 & 3 is designed and written specifically for the new OCR 2005 Further Pure 2 & 3 AS modules.

Table of Contents

Introduction

FURTHER PURE 2 1, Differentiating inverse trigonometric functions

2, Rational functions

3, Maclaurin expansions

4, Hyperbolic functions

5, Graph of rational functions

6, Polar coordinates

Revision exercise 1

7, Series and integrals

8, Approximations and errors

9, The Newton-Raphson method

10, Integration using trigonometric functions

11, Reduction formulae

12, Graphs of functions involving square roots Revision exercise 2

Practice examinations for FP2

FURTHER PURE 3 1, First order differential equations

2, Lines and planes

3, Linear differential equations

4, The vector product, 5, Complex numbers in polar form Revision excerise 3 6, De Moivre's theorem

7, Further trigonometry

8, Calculus with complex numbers

9, Groups

10, Subgroups

11, Isomorphisms of groups

Revision exercise 4 Practice examinations for FP3

Answers to FP2

Answers to FP3

Index