Civil engineering mathematics
J C Lattanzio
4 points * 26 lectures, 12 consultation/practical classes * First semester * Clayton * Prerequisite: MAT1920
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 (1.5 hours): 80% * Assignments: 20%
Prescribed texts
Kreysig D Advanced engineering mathematics 7th edn, Wiley, 1993
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