Pre-requisite: 64612
This unit is divided into four modules. Module 1 covers the introductory concepts and techniques of the solution of differential equations and introduces Taylor series in one variable. Module 2 extends the concepts of calculus and vectors into the study of functions of several variables, curves and surfaces in space, partial derivatives, maxima/minima problems, directional derivatives, gradient, vector fields, curl and divergence. Module 3 introduces the student to more abstract concepts of linear algebra covering vector spaces, bases, dimension, rank, the nature of solutions of linear algebraic equations, projections and transformations, eigenvalues and eigenvectors, diagonalisation and systems of 1st order linear differential equations. Module 4 examines integrals of functions of several variables including line integrals, double integrals, triple integrals, Green's theorem, moments and centres of mass.