MAT2047

Methods of applied mathematics

Dr Alistair Carr

4 points
* one 2-hour lecture and one 1-hour tutorial per week
* Second semester in even-numbered years
* Gippsland/Distance
* Prerequisites: MAT1085 or GAS1615
* Prohibitions: MAT2040, MAT3910, GAS2621

Objectives The aims are that students will be able to use the Laplace and Fourier transforms and their inverses to solve differential equations; be able to use the Z-transform to solve a linear difference equation; know how to construct and use the Fourier series for a periodic function; be able to use the method of separation of variables to solve a linear partial differential equation; be able to carry out elementary tensor algebra for practical purposes.

Synopsis The subject introduces several classical methods, particularly those applicable to the solution of ordinary and partial linear differential equations and linear difference equations, and the analysis of periodic functions; sufficient theory is developed for application in a range of problem types.

Assessment Two assessment assignments: 40%
* One 3-hour examination: 60%

Prescribed texts

O'Neil P Advanced engineering mathematics 4th edn, PWS-Kent, 1995

Recommended texts

Kreyszig E Advanced engineering mathematics 7th edn, Wiley, 1993