Engineering mathematics 2
Dr Alistair Carr and Associate Professor Philip Rayment
6 points * 58 hours lectures and 20 hours tutorials * Second Semester * Gippsland/Distance * Prerequisite: GAS1642 (and a computer programming subject is desirable)
Objectives The student is expected to achieve a basic understanding of multivariable calculus techniques and the ability to apply these to the analysis of engineering/scientific problems; develop basic skills in using the Laplace transform to solve linear ordinary differential equations, and in finding the Fourier series of a periodic function and using its convergence properties; be able to employ any of a suite of numerical approximation techniques and to have a good idea of the likely numerical imprecision inherent in the results; demonstrate an understanding of basic principles of good experimental design, and be able to use a range of techniques for presenting data and drawing valid conclusions.
Synopsis Advanced engineering calculus: Multivariable calculus, scalar and vector fields, Laplace transforms and Fourier series. Numerical methods: Numerical approximation techniques, error analysis, examination of computorial efficiency, use of software packages. Statistics: Experimental design, data manipulation, probability models, inference for comparative experiments, factorial designs and regression models.
Assessment on-campus students One one-hour mid-semester test: 10% * Two assessment assignments: 25% * One 3-hour examination and one 2-hour examination: 65%
Assessment distance education students As above, except that the mid-semester test will be replaced with an additional assessment assignment: 10%
Prescribed texts
Gerald C F and Wheatley P O Applied numerical analysis 5th edn, Addison-Wesley, 1994
O'Neil P Advanced engineering mathematics 4th edn, Wadsworth, 1995
Hogg RV and Ledolter J Applied statistics for engineers and physical scientists 2nd edn, Macmillan, 1992
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