ABSTRACT

First Published in 2007. Routledge is an imprint of Taylor & Francis, an informa company.

part |2 pages

Section 1 Number and Algebra

chapter 3|8 pages

Computer numbering systems

chapter 4|10 pages

Calculations and evaluation of formulae

chapter |1 pages

Revision Test 1

chapter 5|10 pages

Algebra

chapter 6|6 pages

Further algebra

chapter 7|6 pages

Partial fractions

chapter 8|7 pages

Simple equations

chapter |1 pages

Revision Test 2

chapter 9|9 pages

Simultaneous equations

chapter 10|6 pages

Transposition of formulae

chapter 11|8 pages

Quadratic equations

chapter 12|6 pages

Inequalities

chapter 13|5 pages

Logarithms

chapter |1 pages

Revision Test 3

chapter 14|11 pages

Exponential functions

chapter 15|8 pages

Number sequences

chapter 16|8 pages

The binomial series

chapter 17|3 pages

Solving equations by iterative methods

chapter |1 pages

Revision Test 4

part |2 pages

Section 2 Mensuration

chapter 18|9 pages

Areas of plane figures

chapter 19|7 pages

The circle and its properties

chapter 20|17 pages

Volumes and surface areas of common solids

chapter |3 pages

Revision Test 5

part |2 pages

Section 3 Trigonometry

chapter 22|12 pages

Introduction to trigonometry

chapter 23|12 pages

Trigonometric waveforms

chapter 24|4 pages

Cartesian and polar co-ordinates

chapter |1 pages

Revision Test 6

chapter 25|9 pages

Triangles and some practical applications

chapter 26|6 pages

Trigonometric identities and equations

chapter 27|10 pages

Compound angles

chapter |1 pages

Revision Test 7

part |2 pages

Section 4 Graphs

chapter 28|12 pages

Straight line graphs

chapter 30|7 pages

Graphs with logarithmic scales

chapter 31|8 pages

Graphical solution of equations

chapter 32|13 pages

Functions and their curves

chapter |2 pages

Revision Test 8

part |2 pages

Section 5 Vectors

chapter 33|6 pages

Vectors

chapter 34|4 pages

Combination of waveforms

part |2 pages

Section 6 Complex Numbers

chapter 35|12 pages

Complex numbers

chapter 36|4 pages

De Moivre’s theorem

chapter |2 pages

Revision Test 9

part |2 pages

Section 7 Statistics

chapter 37|12 pages

Presentation of statistical data

chapter 39|7 pages

Probability

chapter |1 pages

Revision Test 10

chapter 40|6 pages

The binomial and Poisson distribution

chapter 41|8 pages

The normal distribution

chapter |1 pages

Revision Test 11

part |2 pages

Section 8 Differential Calculus

chapter 42|9 pages

Introduction to differentiation

chapter 43|8 pages

Methods of differentiation

chapter 44|15 pages

Some applications of differentiation

chapter |1 pages

Revision Test 12

chapter 45|5 pages

Differentiation of parametric equations

chapter 46|5 pages

Differentiation of implicit functions

chapter 47|5 pages

Logarithmic differentiation

chapter |2 pages

Revision Test 13

part |2 pages

Section 9 Integral Calculus

chapter 48|7 pages

Standard integration

chapter 49|5 pages

Integration using algebraic substitutions

chapter |1 pages

Revision Test 14

chapter 51|5 pages

Integration using partial fractions

chapter 52|4 pages

The t = tan θ substitution

chapter 53|5 pages

Integration by parts

chapter 54|8 pages

Numerical integration

chapter |1 pages

Revision Test 15

chapter 55|9 pages

Areas under and between curves

chapter 56|4 pages

Mean and root mean square values

chapter 57|5 pages

Volumes of solids of revolution

chapter 58|9 pages

Centroids of simple shapes

chapter 59|7 pages

Second moments of area

chapter |1 pages

Revision Test 16

part |2 pages

Section 10 Further Number and Algebra

chapter 60|21 pages

Boolean algebra and logic circuits

chapter 61|10 pages

The theory of matrices and determinants

chapter |2 pages

Revision Test 17

part |2 pages

Section 11 Differential Equations

chapter 63|8 pages

Introduction to differential equations

chapter |1 pages

Revision Test 18

chapter |1 pages

Answers to multiple choice questions

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