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
|
| Delivery period: 2013/14 Semester 1, Not available to visiting students (SS1)
|
Learn enabled: Yes |
Quota: None |
Web Timetable |
Web Timetable |
| Course Start Date |
16/09/2013 |
| Breakdown of Learning and Teaching activities (Further Info) |
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 10,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
64 )
|
| Additional Notes |
Students must pass exam and course overall.
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
|
|
| Main Exam Diet S1 (December) | Mathematics for Science and Engineering 2a (MATH08069) | 1:30 | | | | Resit Exam Diet (August) | Mathematics for Science and Engineering 2a (MATH08069) | 1:30 | | |
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
| See 'Breakdown of Assessment Methods' and 'Additional Notes' above. |
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: N.Smyth@ed.ac.uk |
Course secretary | Miss Denise Grassick
Tel: (0131 6)50 5059
Email: Denise.Grassick@ed.ac.uk |
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© Copyright 2013 The University of Edinburgh - 10 October 2013 4:51 am
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