PART I Foundation topics: arithmetic; introduction to algebra; expressions and equations; graphs; linear and simultaneous linear equations; polynomial equations; partial fractions; trigonometry; binomial series; differentiation; integration; functions. PART II: complex numbers, 1; complex numbers, 2; hyperbolic functions; determinants; matrices; vectors; differentiation; differentiation applications, 1 differentiation applications, 2; partial differentiation, 1; partial differentiation, 2; curves and curve fitting; series, 1; series, 2; integration, 1; integration 2; reduction formulae; integration applications, 1, integration applications 2; integration applications 3; approximate integration; polar co-ordinates system; multiple integrals; first-order differential equations; second-order differential equations; operator D methods; introduction to the Laplace transform; statistics; probability; answers.
KEN STROUD was Principal Lecturer in the Department of Mathematics at the University of Coventry. He is also the author of the companion volume Further Engineering Mathematics. - DEXTER BOOTH is Senior Lecturer in the School of Computing and Mathematics at the University of Huddersfield. He has previously written several mathematics textbooks, including Foundation Mathematics (AWL) .