Module Database Search
| 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. | |||||
| 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. |