MAT2941

Civil engineering mathematics

J C Lattanzio

4 points
* 26 lectures and 12 consultation and practical class hours
* First semester
* Clayton
* Prerequisite: MAT1920 or ENG1603

Objectives Students completing this subject will extend their knowledge of vector analysis; be introduced to vector calculus; extend their knowledge of integral calculus to higher dimensions, enabling determination of areas and volumes for general objects; have an appreciation of different techniques for the solution of ordinary differential equations; be able to classify differential equations and hence determine a likely solution technique; and will learn some uses of Fourier series as applied to the solution of the many partial differential equations which occur in engineering applications.

Synopsis Vector analysis: line integrals, double and triple integrals (for example as applied to surface and volume calculations). Methods for the anlaytical solution of ordinary differential equations: variation of parameters, series techniques, use of special functions, method of undetermined coefficients; the existence and uniqueness of solutions. Partial differential equations, assuming that the equations are separable. Fourier series as a solution technique, application to heat and wave equations. Brief discussion of numerical methods.

Assessment Examination (2 hours): 80%
* Assignments: 20%

Prescribed texts

Kreysig D Advanced engineering mathematics 7th edn, Wiley, 1993