Table of Contents

Supplementary computer problems. Numbers, trigonometric functions and coordinate geometry. Variables, functions and mappings. Sequences, limits and continuity. Complex numbers and vectors. Differentiation of functions of one or more real variables. Exponential, logarithmic and hyperbolic functions. Fundamentals of integration. Systematic integration. Matrices and linear transformations. Functions of a complex variable. Scales, vectors and fields. Series, Taylor's theorem and its uses. Differential equations and geometry. First-order differential equations. Higher-order linear differential equations. Fourier series. Numerical analysis. A geometrical introduction to linear programming. Probability and statistics. Answers.