GAS2642

Engineering mathematics 2

6 points
* 58 hours lectures and 20 hours tutorials
* Second semester
* Gippsland/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, factorial designs and regression models.

Assessment (on-campus students) Two assessment assignments: 25%
* One three-hour and one two-hour examination: 65%
* Mid-semester test (one hour): 10%
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
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