Undergraduate Course: Methods of Applied Mathematics (MATH08035)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 8 (Year 2 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Year 2) |
| Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
| Course description | THIS COURSE IS FOR STUDENTS RETAKING THE EXAMINATION ONLY AND IS NOT OPEN TO NEW STUDENTS
Syllabus summary: First order linear ODEs, second order linear ODEs with constant coefficients, and equivalent systems. Fourier Series. Vector fields: grad, div, curl, Stokes and divergence theorem; applications. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | No |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
1. Solution of any second-order linear homogeneous equation or system with constant coefficient, and inhomogeneous equation with trig or exponential or constant or periodic rhs, or by variation of parameters.
2. Solution of first order linear ODE by integrating factor.
3. Solution of boundary value problems for y" + ly = 0
4. Knowledge of Euler's formulae for coefficients of Fourier Series (sine, cosine and full range), and ability to compute with these (up to piecewise linear functions)
5. Computation of grad, div, curl
6. Use of Stokes' and divergence theorem in simple explicit cases
7. Ability to derive the heat equation in 3d.
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Assessment Information
| Examination 100% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
Not entered |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | MAM |
Contacts
| Course organiser | Prof Benedict Leimkuhler
Tel:
Email: B.Leimkuhler@ed.ac.uk |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk |
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