SE1CB5: Engineering Mathematics

Module Provider:

School of Systems Engineering

Number of credits:

20 [10 ECTS credits]

Level:

C (Certificate)

Terms in which taught:

Autumn, Spring and Summer

Module Convenor:

Dr RJ Mitchell

Pre-requisites:

A Level Maths or eqv

Co-requisites:

Modules excluded:

MA114

Current from:

2005/6

Aims:
This module aims to provide a foundation of mathematical knowledge and methods fundamental to engineering.

Assessable learning outcomes:
By the end of the module the students will be able to analyse engineering problems using the techniques of series, complex numbers, calculus and matrix algebra.

Additional outcomes:
Students should appreciate that mathematics is applicable in many engineering situations.

Outline content:
Algebra (5 lectures) : Revision of basic algebra, trigonometric and other functions, partial fractions, series and sequences.
Complex numbers (5 lectures): Introduction to complex numbers and their applications in engineering.
Calculus and Laplace Transforms (20 lectures): Differentiation, integration, differential equations and their applications in engineering, Definition and properties of Laplace Transforms, standard functions, use of look-up tables, solving differential equations.
Matrix Algebra (10 lectures): Matrices and their properties, manipulation and applications, involving determinants, inverses, Gaussian Elimination, eigenvalues and eigenvectors.

Brief description of teaching and learning methods:
The module comprises 2 lectures and 2 compulsory tutorials per week. In the tutorials guidance is provided to help students understand the material, and tests throughout the year used to provide feedback to the students.

Contact hours:

Assessment:
Coursework
The module is assessed by three tests during Part 1.
Relative percentage of coursework : 30%
Examinations
One 3 hour paper, comprising one examination question on algebra and functions, one on complex numbers, three on calculus, one on Laplace transforms, and two on matrices.
Requirements for a pass
A mark of 40% overall
Reassessment arrangements
Re-examination in September.