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2010/1 Module Catalogue
 Module Code: ENG1001 Module Title: MATHEMATICS 1A
Module Provider: Civil, Chemical & Enviromental Eng Short Name: SE0101
Level: HE1 Module Co-ordinator: ROCKLIFF NJ Dr (M, M & A Eng)
Number of credits: 10 Number of ECTS credits: 5
Module Availability

Semester 1

Assessment Pattern

Unit(s) of Assessment
Weighting Towards Module Mark( %)
Qualifying Condition(s) A mark of 40% is required to pass the module

Module Overview

A first level engineering mathematics module designed to briefly revise and then extend A-Level maths material and introduce more mathematical techniques to support engineering science modules


Normal entry requirements for degree course in Engineering

Module Aims

To consolidate and extend students’ knowledge of basic mathematical concepts and techniques relevant to the solution of engineering problems, to make students aware of possible pitfalls and to enable students to select appropriate methods of solution.

Learning Outcomes

Upon successful completion of this module students should have developed competence and confidence in:

- manipulating standard functions
- using complex numbers 
- using the techniques of differential and integral calculus for functions of one variable
- applying integration to determine physical engineering properties (e.g. in mechanics)
- manipulation of simple series. 
- presenting and summarising simple statistical data graphically and numerically 
- evaluating simple probabilities

Module Content
Basic algebra (factorisation, partial fractions), geometry, trigonometry. 

Exponential and logarithmic functions and their properties. Odd, even and periodic functions. Concept of a function and inverse functions, inverse trigonometric functions, hyperbolic functions and their inverses, solution of trigonometric and hyperbolic equations.

Complex numbers:
Real and imaginary parts, polar form, Argand diagram, exp(jx), De Moivre’s theorem and applications.

Concept of derivative and rules of differentiation for a function of one variable. Applications to gradients, tangents and normals, extreme points and curve sketching.

Series and Limits:
Arithmetic and geometric progressions, Maclaurin and Taylor series, use of series in approximations, Newton Raphson method, various techniques for the evaluation of limits.

Concept of indefinite integration as the inverse of differentiation and standard methods for integration such as substitution, integration by parts and integration of rational functions. Definite integration, area under curves, use of recurrence relationships, numerical integration.
Applications of integration to curve lengths, surfaces and volumes of revolution.

Probability and statistics:
Descriptive statistics: numerical (mean, mode, median, variance etc) and graphical summaries. Basic Probability: elementary laws, random variables, mean and variance. 
Methods of Teaching/Learning

32 hours lectures, 11 hours supervised tutorial sessions, 1 hour class testing lecture session, 1 hour computer based class test in exam period and 55 hours independent learning. Total student learning time 100 hours.
The assessed coursework takes the form of 2 class tests (one computer based) and a problem sheet     

Selected Texts/Journals
Required reading:
James G, Modern Engineering Mathematics, 4th edition (or earlier), Prentice-Hall, 2008 (ISBN 978-0-13-239144-3)
Stroud KA and Booth D.J., Engineering Mathematics, 6th edition (or ealier), Palgrave Macmillan, 2007. (ISBN 978-1-4039-4246-3)
Last Updated

1st October 2010