|Faculty or Section :||Faculty of Health, Engineering and Sciences|
|School or Department :||School of Mathematics, Physics & Computing|
|Student contribution band :||Band 1|
|Grading basis :||Graded|
|Version produced :||27 June 2022|
Pre-requisite: MAT1102 or MAT1502 or ENM1600 or Students must be enrolled in the following program: MSCN or MEPR or BSED
This course follows on directly from MAT1102 Algebra and Calculus I in developing the concepts and techniques of calculus and linear algebra for application to problems in engineering and science, or as a basis for higher study in mathematics.
Module 1 is an introduction to ordinary differential equations (ODEs) and series including direction fields, Euler's method, first order separable ODEs, first and second order linear ODEs with constant coefficients, Taylor and Fourier series. Module 2 covers 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 of the 1-st and 2-nd kinds, iterated integrals, Green's theorem. Module 3 extends the linear algebra of MAT1102 Algebra and Calculus 1 to cover eigenvalues and eigenvectors, vector space, bases, dimensions, rank, systems of linear equations, symmetric matrices, transformations, diagonalisation with applications.