Undergraduate Course: Mathematics for Science and Engineering 2a (MATH08069)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Not available to visiting students |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | Ordinary differential equations, transforms and Fourier series with applications to engineering. Linear differential equations, homogeneous and non-homogeneous equations, particular solutions for standard forcings; Laplace transforms and applications; standard Fourier series, half range sine and cosine series, complex form; convergence of Fourier series, differentiation and integration of Fourier series. |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
1. An ability to solve important classes of first- and second-order differential equation problems.
2. An ability to interpret solutions and draw conclusions from them.
3. A competence in using Laplace transform tables, including the shift theorems, with ability to solve initial value problems for ODEs.
4. Familiarity with methods for treating coupled sets of ODEs.
5. An ability to determine Fourier series for some basic periodic functions, with some appreciation of how a series converges to a periodic waveform.
6. A basic understanding of the complex Fourier series. |
Assessment Information
| Coursework 20%, Examination 80% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Differential Equations :
- Linear Differential Equations [1 lecture]
- Linear constant coefficient Differential Equations [3 lectures]
- Numerical Methods [1 lecture]
- Second order linear constant coefficient differential equations, forcing and damping [2 lectures]
Laplace Transforms :
- Definition, simple transforms, properties, inverse and shift theorem [3 lectures]
- Solution of ODEs [4 lectures]
Fourier Series :
- Fourier series, coefficients, even/odd functions, linearity, convergence [3 lectures]
- Full range, half-range [2 lectures]
- Integration and differentiation of Fourier series [1 lecture] |
| Transferable skills |
Not entered |
| Reading list |
Students are expected to own a copy of :
Modern Engineering Mathematics by Glyn James, Prentice Hall
Advanced Modern Engineering Mathematics by Glyn James, Prentice Hall |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | mse2a |
Contacts
| Course organiser | Dr Noel Smyth
Tel: (0131 6)50 5080
Email: |
Course secretary | Mrs Joy Clark
Tel:
Email: |
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