Engineering Mathematics

Anthony Croft is Professor of Mathematics Education at Loughborough University. Robert Davison was formerly Head of Quality at the Faculty of Technology, De Montfort University. Martin Hargreaves is a Chartered PhysicistJames Flint is Senior Lecturer in Wireless Systems Engineering at Loughborough University.

• 1 Review of algebraic techniques 12 Engineering functions3 The trigonometric functions4 Coordinate systems5 Discrete mathematics6 Sequences and series7 Vectors8 Matrix algebra9 Complex numbers10 Di erentiation11 Techniques of di erentiation12 Applications of di erentiation13 Integration14 Techniques of integration15 Applications of integration16 Further topics in integration17 Numerical integration18 Taylor polynomials, Taylor series and Maclaurin series19 Ordinary di erential equations I20 Ordinary di erential equations II21 The Laplace transform22 Di erence equations and the z transform23 Fourier series24 The Fourier transform25 Functions of several variables26 Vector calculus27 Line integrals and multiple integrals28 Probability29 Statistics and probability distributions