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 421-402 Mathematics for Engineers Unit 4.1

Credit Points

7.1

Coordinator

Assoc. Professor R. L. Hughes

Prerequisites

An Honour in Mathematics for Engineers Unit 3.1 (or equivalent)

Semester

1

Contact

24 hours of lectures and 12 hours of tutorials

Subject Description

The objective of this subject is to give students a working knowledge of a wide variety of equation types and the methods of solving them with special emphasis on perturbation methods.

Topics covered include:

Part 1 Calculus of Variations: Euler's equation, integral and algebraic constraints, Sturm-Liouville problems, Ritz method, numerical methods, adjoint problems.

Part 2 Advanced Complex Analysis: Series expansions, residues, contour integration. Asymptotic methods, stationary phase, steepest descent, WKB theory.

Assessment

One written examination not exceeding three-hours at the end of first semester. Plus additional tests and assignments to a maximum value of 10%



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