Module Database Search
| MODULE DESCRIPTOR | |||
|---|---|---|---|
| Module Title | |||
| Mathematics 1 | |||
| Reference | EN1902 | Version | 3 |
| Created | May 2022 | SCQF Level | SCQF 7 |
| Approved | May 2020 | SCQF Points | 30 |
| Amended | June 2022 | ECTS Points | 15 |
| Aims of Module | |||
|---|---|---|---|
| To provide the student with the ability to apply introductory level mathematics to engineering problems. | |||
| Learning Outcomes for Module | |
|---|---|
| On completion of this module, students are expected to be able to: | |
| 1 | Apply vectors, complex numbers and trigonometry to problems in engineering. |
| 2 | Use standard techniques of calculus in solving engineering applications. |
| 3 | Apply matrix techniques and elementary probability theory to problems in engineering. |
| 4 | Apply rules of calculus to solve engineering problems including differential equations. |
| Indicative Module Content |
|---|
| Trigonometry: Trigonometric identities and their application in solving trigonometric equations. The combination of simple waveforms using standard trigonometric formulae. Vectors: Simple vector algebra. The scalar and vector products. Complex numbers: The arithmetic of complex numbers. Rectangular and polar forms. The Argand diagram. De Moivre's theorem and complex roots. Differential Calculus: Differentiation of elementary functions. The rules of differentiation: chain rule, product rule, quotient rule. Integral Calculus: Integration of elementary functions. Partial fractions. Application to problems in engineering. Matrices: Simple matrix algebra. Determinants. Applications to the solution of simultaneous linear equations. Differential Equations: Solution of 1st order ODEs by separation of variables and integration factor methods. Power series for elementary functions. Partial differentiation. Statistics: Simple descriptive statistics. Probability and reliability. Elementary probability distributions. The use 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 | 120 | N/A |
| Non-Contact Hours | 180 | N/A |
| Placement/Work-Based Learning Experience [Notional] Hours | N/A | N/A |
| TOTAL | 300 | 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: | Examination | Weighting: | 50% | Outcomes Assessed: | 1, 2 |
| Description: | Closed book examination. | ||||
| Component 2 | |||||
| Type: | Examination | Weighting: | 50% | Outcomes Assessed: | 3, 4 |
| Description: | Closed book examination. | ||||
| MODULE PERFORMANCE DESCRIPTOR | ||||||||
|---|---|---|---|---|---|---|---|---|
| Explanatory Text | ||||||||
| The overall grade is calculated using the following look-up table | ||||||||
| Examination: | ||||||||
| Examination: | 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 | None. |
| Corequisites for module | None. |
| Precluded Modules | None. |
| INDICATIVE BIBLIOGRAPHY | |
|---|---|
| 1 | STROUD, K.A. AND BOOTH, D.J., 2020, Engineering Mathematics, 8th ed, Red Globe Press. |
| 2 | SINGH, K., 2011, Engineering Mathematics Through Applications, 2nd ed, Palgrave. |
| 3 | JAMES, G. and DYKE. P. 2020 Modern Engineering Mathematics, 6th ed, Pearson. |