• Semester 2 (Day)
• Semester 2 (External)

Pre-requisite: 64612

Synopsis

Module 1 covers multivariable calculus including representation of function of
several variables, surfaces and curves in space, partial differentation,
optimisation, directional derivatives, gradient, divergence and curl, line
integrals, double and triple integrals, Green's theorem.
Module 2 is an introduction to differential equations including direction
fields, Euler's method, first order separable, first order linear and second
order linear with constant coefficients.
Module 3 extends the linear algebra of 64612 to cover vector space, bases,
dimensions, rank, nullspace, systems of linear equations, projections,
transformations, eigenvalues and eigenvectors, diagonalisation with application.