2M2 (MATH29662)

 

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%

to the top

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