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MODULE DESCRIPTOR
Module Title
Mathematics 3
Reference EN3900 Version 3
Created July 2017 SCQF Level SCQF 9
Approved June 2002 SCQF Points 15
Amended September 2017 ECTS Points 7.5

Aims of Module
To provide the student with the ability to apply advanced mathematics techniques to applied problems in engineering.

Learning Outcomes for Module
On completion of this module, students are expected to be able to:
1 Calculate matrix eigenvalues and eigenvectors by hand or by computer as appropriate and apply eigen-methods to the solution of problems in engineering.
2 Derive and apply solutions of partial differential equations by separation of variables and Fourier series.
3 Derive and apply solutions of partial differential equations by finite difference methods.
4 Perform calculations using the vector differential operators grad, div and curl and apply these to problems in engineering.
5 Use computational packages in support of the other Learning Outcomes.

Indicative Module Content
Eigenvalues and eigenvectors of matrices and their relation to second order systems including degenerate systems. Development and solution of differential equations using eigen-methods. Partial differential equations using separation of variables and Fourier series to include heat flow in one dimension, one-dimensional vibration and Laplaces equation. Finite difference methods to solve PDEs. Div, grad and curl and their identities. Application of the vector operators to problems in Science and Technology.

Module Delivery
The module is delivered using a series of lectures with associated tutorials and computer laboratories where techniques can be applied.

Indicative Student Workload Full Time Part Time
Contact Hours 48 N/A
Non-Contact Hours 102 N/A
Placement/Work-Based Learning Experience [Notional] Hours N/A N/A
TOTAL 150 N/A
Actual Placement hours for professional, statutory or regulatory body    

ASSESSMENT PLAN
If a major/minor model is used and box is ticked, % weightings below are indicative only [for the purposes of the Key Information Set (KIS)]
Component 1
Type: Practical Exam Weighting: 30% Outcomes Assessed: 5
Description: Computer based laboratory test.
Component 2
Type: Examination Weighting: 70% Outcomes Assessed: 1, 2, 3, 4
Description: Closed book examination.

MODULE PERFORMANCE DESCRIPTOR
Explanatory Text
To pass the module, you must achieve a 40% weighted average mark from the examination and practical examination. In addition, you need to achieve at least 35% in both the examination and the practical examination Components.
Module Grade Minimum Requirements to achieve Module Grade:
A 70-100%
B 60-69%
C 50-59%
D 40-49%
E 35-39%
F 0-34%
NS Non-submission of work by published deadline or non-attendance for examination

Module Requirements
Prerequisites for Module EN2901 Mathematics 2 or equivalent.
Corequisites for module None.
Precluded Modules None.

INDICATIVE BIBLIOGRAPHY
1 KREYSZIG, A., 2011. Advanced Engineering Mathematics. 10th ed. J Wiley.
2 STROUD, K.A. AND BOOTH, D.J., 2011. Advanced Engineering Mathematics. 5th Ed. Palgrave.

 

Robert Gordon University, Garthdee House, Aberdeen, AB10 7QB, Scotland, UK: a Scottish charity, registration No. SC013781