Module Database Search
| MODULE DESCRIPTOR | |||
|---|---|---|---|
| Module Title | |||
| Mathematics 3 | |||
| Reference | EN3900 | Version | 6 |
| Created | April 2023 | SCQF Level | SCQF 9 |
| Approved | June 2002 | SCQF Points | 15 |
| Amended | August 2023 | 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 | Draw on eigen methods to identify the solution of problems in engineering. |
| 2 | Formulate solutions of partial differential equations by separation of variables and Fourier series. |
| 3 | Estimate solutions of partial differential equations by finite difference methods. |
| 4 | Using the vector differential operators grad, div and curl, formulate solutions to engineering problems. |
| 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 |
|---|
| Full-time students: The module is delivered using a series of lectures with associated tutorials where techniques can be applied. Part-time students: This module is delivered by a combination of lectures and tutorials online. It will be supported by online evening sessions. |
| Indicative Student Workload | Full Time | Part Time |
|---|---|---|
| Contact Hours | 48 | 48 |
| Non-Contact Hours | 102 | 102 |
| Placement/Work-Based Learning Experience [Notional] Hours | N/A | N/A |
| TOTAL | 150 | 150 |
| 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: | Examination | Weighting: | 100% | Outcomes Assessed: | 1, 2, 3, 4 |
| Description: | Closed book examination. | ||||
| MODULE PERFORMANCE DESCRIPTOR | |
|---|---|
| Explanatory Text | |
| Component 1 comprises 100% of the module grade. A minimum of Grade D is required to pass the module. | |
| Module Grade | Minimum Requirements to achieve Module Grade: |
| A | A |
| B | B |
| C | C |
| D | D |
| E | E |
| F | F |
| 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. |