6 points · 58 hours lectures and 20 hours tutorials · Second semester · Distance · Prerequisites: 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 and 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 imprecision inherent in the results; demonstrate an understanding of basic principles of good experimental design, and be able to use a range of techniques of 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 and factorial designs.
Assessment Three assignments: 35% · Examination (Calculus and numerical methods, 3 hours): 40% · Examination (Statistics, 2 hours): 25%
Prescribed texts
Gerald C F and Wheatley P O Applied numerical analysis
5th edn, Addison-Wesley, 1994
Hogg R V and Ledolter J Applied statistics for engineers and physical
scientists 2nd edn, Macmillan, 1992
O'Neil P Advanced engineering mathematics 4th edn, Wadsworth, 1995