421-205 Mathematics for Engineers Unit 2.2

Credit Points

Coordinator

Prerequisites

Mathematics for Engineers Unit 2.1A or 2.1B (or equivalent)

Semester

Contact

Subject Description

The objective of this subject is to give students an understanding of aspects of vector calculus, and a knowledge of Fourier and Laplace Transforms and their application to the solutions of problems in vibration.

Topics covered include:

Part 1 Vector Analysis: Gradient, divergence, and curl of a vector. Line, surface, and volume integral theorems of Green, Gauss, and Stokes. Irrotational and solenoidal fields.

Part 2 Transform Methods: Fourier series and transform. Simple expansions: sine, cosine and exponential series, least square errors. Introduction to Fourier transforms, Laplace transforms, operational calculus and applications including the solution of linear differential equations.

Assessment

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