Module Database Search
| MODULE DESCRIPTOR | |||
|---|---|---|---|
| Module Title | |||
| Engineering Mathematics and Signals | |||
| Reference | EN2105 | Version | 3 |
| Created | August 2021 | SCQF Level | SCQF 8 |
| Approved | July 2018 | SCQF Points | 30 |
| Amended | August 2021 | ECTS Points | 15 |
| Aims of Module | |||
|---|---|---|---|
| To provide the student with the ability to apply advanced level mathematics to signals. | |||
| Learning Outcomes for Module | |
|---|---|
| On completion of this module, students are expected to be able to: | |
| 1 | Calculate and understand simple descriptive and summary statistics, and apply elementary probability theory to problems in engineering. |
| 2 | Solve first and second order ordinary differential equations by algebraic methods and carry out partial differentiation and apply it to problems in Science and Engineering. |
| 3 | Apply Fourier series techniques and apply Laplace transform methods to problems involving simple linear systems. |
| 4 | Understand basic principles of signal transmission and communication methods. |
| 5 | Understand electrical signal transmission, cable design and drawing. |
| Indicative Module Content |
|---|
| Statistics: Simple descriptive statistics. Probability and reliability. Elementary probability distributions. Statistical inference: populations and samples, sampling distribution of the mean, point and interval estimation of population mean for large/small samples, one sample hypothesis testing 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. Signal transmission and conversion. Radio, satellite, wireless and Ethernet communication. Cable design, analogue and digital signalling, interference, voltage control, impedance. Fibre optic cable design, HART and fieldbus. Developing a cable schedule. |
| Module Delivery |
|---|
| The module is delivered in Blended Learning mode using structured online learning materials/activities and directed study, facilitated by regular online tutor support. Workplace Mentor support and work-based learning activities will allow students to contextualise this learning to their own workplace. Face-to-face engagement occurs through annual induction sessions, employer work-site visits, and modular on-campus workshops. |
| Indicative Student Workload | Full Time | Part Time |
|---|---|---|
| Contact Hours | 30 | N/A |
| Non-Contact Hours | 30 | N/A |
| Placement/Work-Based Learning Experience [Notional] Hours | 240 | N/A |
| TOTAL | 300 | N/A |
| Actual Placement hours for professional, statutory or regulatory body | 240 |
| ASSESSMENT PLAN | |||||
|---|---|---|---|---|---|
| If a major/minor model is used and box is ticked, % weightings below are indicative only. | |||||
| Component 1 | |||||
| Type: | Coursework | Weighting: | 50% | Outcomes Assessed: | 1, 2, 3 |
| Description: | Logbook of solved tutorial questions and online tests. | ||||
| Component 2 | |||||
| Type: | Coursework | Weighting: | 50% | Outcomes Assessed: | 4, 5 |
| Description: | Logbook of solved tutorial questions and online tests. | ||||
| 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 50% and C2 is worth 50%. | ||||||||
| Coursework: | ||||||||
| Coursework: | A | B | C | D | E | F | NS | |
| A | A | A | B | B | E | E | ||
| B | A | B | B | C | E | E | ||
| C | B | B | C | C | E | E | ||
| D | B | C | C | D | E | E | ||
| E | E | E | E | E | E | F | ||
| F | E | E | E | E | F | F | ||
| NS | Non-submission of work by published deadline or non-attendance for examination | |||||||
| Module Requirements | |
|---|---|
| Prerequisites for Module | Completion of EN1103, EN1104, EN1105, EN1106 or equivalent. |
| Corequisites for module | None. |
| Precluded Modules | None. |
| INDICATIVE BIBLIOGRAPHY | |
|---|---|
| 1 | STROUD, K.A. and BOOTH, D.J., 2011. Advanced Engineering Mathematics. 5th ed. Basingstoke: Palgrave. |
| 2 | STROUD, K.A. and BOOTH D.J., 2013. Engineering Mathematics. 7th ed. Basingstoke: Palgrave. |
| 3 | KREYSZIG, A., 2011. Advanced Engineering Mathematics. 10th Ed. Wiley. |
| 4 | HAYKIN, S. and MOHER, M., 2009. Communications Systems. 5th ed. Hoboken, NJ: John Wiley & Sons. |
| 5 | OPPENHEIM, A.V.,WILLSKY, A.S. and HAMID, S. 2013. Signals and Systems. 2nd ed. Harlow: Pearson. |