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School of Mathematics

# 2M2 (MATH29662)

General Information
• Title: Mathematics 2M2
• Unit code: MATH29662
• Credit rating: 10
• Level: 2
• Pre-requisite units: 1M1+1M2+2M1
• Co-requisite units:
• School responsible: Mathematics
• Member of staff responsible: Dr CDC Steele, Dr RM Thomas, Dr S Cotter
Page Contents
Other Resources
• Online course materials are available via this link and on Blackboard

## Unit specification

Aims
The programme unit aims to provide further mathematics for second-year civil engineering students (MACE)
Brief description
6: Fourier Series: Construction of Fourier Series. Convergence. Series with Arbitrary period. Odd and evenseries.
6: Vector Calculus : Definitions of grad, div and curl, Identities, Examples, Vector integral calculus, Integral theorems, Applications.
4: Eigenvalues and Eigenvectors: Methods for finding Eigenvalues and Eigenvectors. Normalisation. Diagonalisation of Matrices. Applications to systems of ODEs.
6: Weighted Residual Method: Introduction. The collocation method. The method of least squares. Galerkin's Method. The sub-domain method.
Textbooks
E. Kreyszig, Advanced Engineering Mathematics, Wiley
ML Boas, Mathematical Methods in the Physical Sciences, Wiley
Intended learning outcomes
Knowledge and understanding: Be familiar with Vector Calculus, Fourier series, Eigenvalues and Eigenvectors and one-dimensional Finite Element Methods
Intellectual skills: Be able to carry out substantial calculations involving the topics in the syllabus and recognise the techniquesd necessary.
Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department.
Learning and teaching processes
Two lectures and one tutorial per week.
Lectures : 22
Tutorials : 11
Hours of private study : 67
Assessment
Coursework 1(week 7) Weighting within unit 10%
Coursework 2 (week 11) Weighting within unit 10%
2 hour examination (semester 2) Weighting within unit 80%

## Arrangements

There are three classes per week:

The Classes for 2M2 (MATH29662) for 2012-13 are as follows

• Tuesday 9 am in Renold/E7
• Tuesday 10 am in Renold/E7
• Thursday 9 am in Sackville/C53

Classes are given by Dr RM Thomas and Dr S Cotter

Online course materials are available via this link and on the Blackboard area.