|Short Description:||Advanced Engineering Maths|
|Faculty or Section :||Faculty of Health, Engineering and Sciences|
|School or Department :||School of Sciences|
|Student contribution band :||Band 1|
|ASCED code :||010101 - Mathematics|
|Grading basis :||Graded|
|Version produced :||5 March 2021|
Pre-requisite: ENM1600 or Students must be enrolled in one of the following Programs: GCEN or METC or MENS or GDNS or MEPR or MSCN
This course is substantially equivalent to MAT2100 and MAT2500. Students cannot enrol in ENM2600 if they have successfully completed, or are currently enrolled in MAT2100 or MAT2500.
This course further integrates mathematical concepts to provide students with an introduction to the advanced skills required for engineering and surveying. Topics included are: Complex Numbers, Ordinary Differential Equations (ODEs), Series, Multivariable Calculus, and Linear Algebra. The introduction to Ordinary Differential Equations and Series topics include direction fields, Euler's method, first order separable ODEs, first order and second order linear ODEs with constant coefficients, Taylor and Fourier series. Multivariable Calculus includes 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. The topic of Linear Algebra of ENM1600 Engineering Mathematics is extended to cover eigenvalues and eigenvectors, and symmetric and orthogonal matrices. Engineering applications are discussed in each topic.