ABSTRACT

Engineering Mathematics is a comprehensive pre-degree maths text for vocational courses and foundation modules at degree level in the U.K.. John Bird's approach, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities, and can be worked through at the student's own pace. Theory is kept to a minimum, placing a firm emphasis on problem-solving skills, and making this a thoroughly practical introduction to the core mathematics needed for engineering studies and practice.

Throughout the book assessment papers are provided that are ideal for use as tests or homework. These are the only problems where answers are not provided in the book. Full worked solutions are available to lecturers only as a free download from the Newnes website: www.newnespress.com

chapter 2|7 pages

Indices and standard form

chapter 3|8 pages

Computer numbering systems

chapter 4|9 pages

Calculations and evaluation of formulae

part |1 pages

Assignment 1

chapter 5|10 pages

Algebra

chapter 6|7 pages

Further algebra

chapter 7|6 pages

Partial fractions

chapter 8|7 pages

Simple equations

part |1 pages

Assignment 2

chapter 9|9 pages

Simultaneous equations

chapter 10|6 pages

Transposition of formulae

chapter 11|9 pages

Quadratic equations

chapter 12|5 pages

Logarithms

part |1 pages

Assignment 3

chapter 13|11 pages

Exponential functions

chapter 14|8 pages

Number sequences

chapter 15|9 pages

The binomial series

chapter 16|3 pages

Solving equations by iterative methods

part |1 pages

Assignment 4

chapter |4 pages

Multiple choice questions on s 1 to 16

chapter 17|8 pages

Areas of plane figures

chapter 18|6 pages

The circle and its properties

chapter 19|16 pages

Volumes and surface areas of common solids

part |2 pages

Assignment 5

chapter 21|11 pages

Introduction to trigonometry

chapter 22|12 pages

Trigonometric waveforms

chapter 23|4 pages

Cartesian and polar co-ordinates

part |1 pages

Assignment 6

chapter 24|9 pages

Triangles and some practical applications

chapter 25|6 pages

Trigonometric identities and equations

chapter 26|10 pages

Compound angles

part |1 pages

Assignment 7

chapter |5 pages

Multiple choice questions on s 17 to 26

chapter 27|12 pages

Straight line graphs

chapter 29|7 pages

Graphs with logarithmic scales

chapter 30|8 pages

Graphical solution of equations

chapter 31|13 pages

Functions and their curves

part |1 pages

Assignment 8

chapter 32|6 pages

Vectors

chapter 33|4 pages

Combination of waveforms

chapter 34|12 pages

Complex numbers

chapter 35|3 pages

De Moivre’s theorem

part |1 pages

Assignment 9

chapter 36|12 pages

Presentation of statistical data

chapter 38|7 pages

Probability

chapter 39|6 pages

The binomial and Poisson distribution

part |1 pages

Assignment 10

chapter 40|7 pages

The normal distribution

chapter 41|4 pages

Linear correlation.

chapter 42|5 pages

Linear regression

chapter 43|12 pages

Sampling and estimation theories

part |1 pages

Assignment 11

chapter |5 pages

Multiple choice questions on s 27 to 43

chapter 44|9 pages

Introduction to differentiation

chapter 45|8 pages

Methods of differentiation

chapter 46|14 pages

Some applications of differentiation

part |1 pages

Assignment 12

chapter 47|7 pages

Standard integration

chapter 48|4 pages

Integration using algebraic substitutions

part |1 pages

Assignment 13

chapter 50|4 pages

Integration using partial fractions

chapter 51|4 pages

The t = substitution

chapter 52|5 pages

Integration by parts

chapter 53|8 pages

Numerical integration

part |1 pages

Assignment 14

chapter 54|9 pages

Areas under and between curves

chapter 55|4 pages

Mean and root mean square values

chapter 56|5 pages

Volumes of solids of revolution

chapter 57|9 pages

Centroids of simple shapes

chapter 58|7 pages

Second moments of area

part |1 pages

Assignment 15

part |1 pages

Assignment 16

chapter |4 pages

Multiple choice questions on s 44–61

chapter 52|1 pages

2 Answers to multiple choice questions