Module Code: ENG1002 
Module Title: MATHEMATICS 1B 

Module Provider: Civil, Chemical & Enviromental Eng

Short Name: SE0102

Level: HE1

Module Coordinator: 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 (%)

Examination

80

Coursework

20

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. 


Prerequisites/Corequisites 
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), PrenticeHall, 2008 (ISBN 9780132391443)
Stroud KA and Booth D.J., Engineering Mathematics, 6^{th} edition (or earlier), Palgrave Macmillan, 2007. (ISBN 9781403942463)




Last Updated 
1st October 2010 


