Mathematics for Elec/Mech Eng 3 (U01689)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-2-me3

Ordinary differential equations, including applications in Electrical Engineering and Mechanical Engineering; linear differential equations (including complex exponential methods); Laplace transforms and applications; matrices and introduction to eigenvalues and eigenvectors. Standard Fourier series, half range sine and cosine series, complex form; applications to square and saw-tooth wave forms and interpretation.

Entry Requirements

? Pre-requisites : MAT-1-mm2 or concurrent attendance at MAT-2-mm2A

? Prohibited combinations : MAT-2-mm3, MAT-2-mm4, MAT-2-SVC, MAT-2-MAM, MAT-2-mc3

Subject Areas

Home subject area

Mathematics for Physical Science & Engineering, (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 2nd year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 3 hour(s) per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
21/09/2006	10:00	11:00	Lecture Theatre A, JCMB	KB

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	10:00	10:50	KB
Lecture	Thursday	10:00	10:50	KB

? Additional Class Information : Tutorials: Tu at 0900 and 1000

Summary of Intended Learning Outcomes

1. An ability to solve important classes of first- and second-order differential equation problems.
2. An ability to interpret solutions and draw conclusions from them.
3.A competence in using Laplace transform tables, including the shift theorems, with ability to solve initial value problems for ODEs.
4. Familiarity with methods for treating coupled sets of ODEs, including methods using matrix algebra.
5. An understanding of eigenvalues, eigenvectors and their importance -- e.g. in analysing coupled vibrations.
6.An ability to determine Fourier series for some basic periodic functions, with some appreciation of how a series converges to a periodic waveform.
7. A basic understanding of the complex Fourier series.