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2010/1 Module Catalogue
 Module Code: ENG1002 Module Title: MATHEMATICS 1B
Module Provider: Civil, Chemical & Enviromental Eng Short Name: SE0102
Level: HE1 Module Co-ordinator: ROCKLIFF NJ Dr (M, M & A Eng)
Number of credits: 10 Number of ECTS credits: 5
Module Availability

Semester 2

Assessment Pattern

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

Module Overview

Engineers frequently use mathematical models, and in particular differential equations in one or more variables and matrices are common in this context. This is a further first level engineering mathematics module designed to support teaching in other engineering science modules by introducing students to concepts and solution methods in these areas.

Module ENG1001



Module Aims
To develop further understanding of mathematical concepts and techniques and their application to engineering problems.
Learning Outcomes
Upon successful completion of this module students should be able to:
  • apply techniques of differential and integral calculus to engineering problems
  • find extrema of a function of two variables
  • solve straightforward differential equations as encountered in engineering problems
  • manipulate matrices in appropriate contexts.
Module Content

  • Applications of integration:
    • to first moments and centroids, second moments and radii of gyration.
  • Functions of several variables:
    • Partial derivatives for functions of several variables, total derivative, application to small changes in a function and errors. Extrema of functions of two variables.
    •  Simple double integrals.
  • Ordinary differential equations:
    • First order, first degree ODE's of separable type and the integrating factor method.
    • First and second order ODE's with constant coefficients (complementary solution and particular integrals).
    • Initial and boundary value problems.
  • Matrices and determinants:
    • Matrix addition, multiplication, etc., determinants, Cramer's rule.
    • Matrix operations involving transpose, inverse, rank of matrix
    • Solving systems of equations using matrices

Methods of Teaching/Learning
30 hours lectures, 10 hours supervised tutorial sessions, 2 hour examination and 60 hours independent learning. Total student learning time 100 hours.
Coursework based on tutorial problems.
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 earlier), Palgrave Macmillan, 2007. (ISBN 978-1-4039-4246-3)

Last Updated

1st October 2010