Module Database Search
| MODULE DESCRIPTOR | |||
|---|---|---|---|
| Module Title | |||
| Mathematics 2 | |||
| Reference | EN2901 | Version | 6 |
| Created | April 2023 | SCQF Level | SCQF 8 |
| 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 level mathematics to engineering problems. | |||
| Learning Outcomes for Module | |
|---|---|
| On completion of this module, students are expected to be able to: | |
| 1 | Compute the solution to first and second-order ordinary differential equations by algebraic methods and Laplace transform techniques. |
| 2 | Use partial differentiation in Science and Engineering problems. |
| 3 | Adapt Fourier series techniques to periodic signals. |
| 4 | Show the use of eigenvalues and eigenvectors in engineering problems. |
| 5 | Use computational packages in support of the other Learning Outcomes. |
| Indicative Module Content |
|---|
| The syllabus will include: Solution of first and second-order ordinary differential equations: separation of variables. Integrating factor method. Complementary function and particular integrals. Laplace Transforms: Definition of Laplace transform and its inverse. Use of tables to calculate Laplace transforms of elementary functions. The solution of ordinary differential equations. The step function and impulse function. Multivariable calculus: Partial differentiation. Application to problems in Science and Engineering. Fourier Series: Decomposition of waveforms. Fourier series of simple functions. The use of symmetry. Amplitude spectra. Eigenvalues and eigenvectors: Application to systems of differential equations. Further application of a computer mathematics package for solving problems in engineering mathematics. |
| 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 | 60 | N/A |
| Non-Contact Hours | 90 | 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 | ||||||||
| The module has 2 components and to gain an overall pass a minimum D grade must be achieved in each component. The component weighting is as follows: C1 is worth 30% and C2 is worth 70%. | ||||||||
| Practical Exam: | ||||||||
| Examination: | A | B | C | D | E | F | NS | |
| A | A | A | B | B | E | E | ||
| B | B | B | B | C | E | E | ||
| C | B | C | C | C | E | E | ||
| D | C | C | D | D | E | E | ||
| E | E | E | E | E | E | F | ||
| F | F | F | F | F | F | F | ||
| NS | Non-submission of work by published deadline or non-attendance for examination | |||||||
| Module Requirements | |
|---|---|
| Prerequisites for Module | Mathematics 1B (EN1912) or equivalent. |
| Corequisites for module | None. |
| Precluded Modules | None. |
| INDICATIVE BIBLIOGRAPHY | |
|---|---|
| 1 | STROUD, K.A. and BOOTH, D.J., 2020. Advanced Engineering Mathematics. 6th ed. Red Globe Press. |
| 2 | STROUD, K.A. and BOOTH D.J., 2020. Engineering Mathematics. 8th ed. Basingstoke: Palgrave. |
| 3 | KREYSZIG, A., 2011. Advanced Engineering Mathematics. 10th Ed. Wiley |