421-303 Mathematics for Engineers Unit 3.1

Credit Points

Coordinator

Prerequisites

Mathematics for Engineers Unit 2.2 (1998 Handbook) or equivalent

Semester

Contact

Subject Description

The objective of this subject is to give students a working knowledge of methods of solving simultaneous differential equations with multiple dependent variables, and partial differential equations with multiple independent variables.

Topics covered include:

Part 1 Systems of Differential Equations: Sets of differential equations. Elementary approach for linear differential equations with constant coefficients, solution of homogeneous systems, normal modes, stability, classification of the critical point for linear systems, solutions of forced systems by fundamental matrices, linear differential equations with variable coefficients, independent solutions, Wronskians, numerical methods.

Part 2 Partial Differential Equations: Partial differential equations of first and second order including Laplace's equation, the wave equation and the diffusion equation in various geometries. Separation of variables, methods of characteristics, numerical methods.

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%