MAT2100 Algebra and Calculus II (FOSCI)

Semester 2 (ONC)Toowoomba (EXT)Toowoomba

Units 1.0 (Mathematics) Band 2

Pre-requisite: MAT1102 or Students must be enrolled in one of the following Programs: MSBN or MSMS or GCEN or GDET or METC

Synopsis

Module 1covers multivariable calculus including representation of functions of several variables, surfaces and curves in space, partial differentiation, optimisation, directional derivatives, gradient, divergence and curl, line integrals, iterated 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 MAT1102 Algebra and Calculus I to cover vector space, bases, dimensions, rank, nullspace, systems of linear equations, projections, transformations, eigenvalues and eigenvectors, diagonalisation with applications.