Module Database Search
MODULE DESCRIPTOR | |||
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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 | |||
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To provide the student with the ability to apply advanced mathematics techniques to applied problems in engineering. |
Learning Outcomes for Module | |
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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 |
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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 |
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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 |
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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 | |||||
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If a major/minor model is used and box is ticked, % weightings below are indicative only. | |||||
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 | |
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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 | |
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Prerequisites for Module | EN2901 Mathematics 2 or equivalent. |
Corequisites for module | None. |
Precluded Modules | None. |
INDICATIVE BIBLIOGRAPHY | |
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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. |