Undergraduate Course: Methods of Applied Mathematics (MATH08035)
|School||School of Mathematics
||College||College of Science and Engineering
||Availability||Available to all students
|Credit level (Normal year taken)||SCQF Level 8 (Year 2 Undergraduate)
|Home subject area||Mathematics
||Other subject area||Specialist Mathematics & Statistics (Year 2)
||Taught in Gaelic?||No
|Course description||Core second year course for Honours Degrees in Mathematics and/or Statistics.
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
|Displayed in Visiting Students Prospectus?||Yes
Course Delivery Information
|Delivery period: 2011/12 Semester 2, Available to all students (SV1)
||WebCT enabled: Yes
|King's Buildings||Lecture||Th A, JCMB||1-11|| 12:10 - 13:00|
|King's Buildings||Lecture||Ashworth Labs Th 1||1-11|| 12:10 - 13:00|
||Week 18, Tuesday, 12:10 - 13:00, Zone: King's Buildings. Th A, JCMB |
||Tutorials: Th at 1110, 12:10 & 14:00
JCMB, rooms as advised
|Main Exam Diet S2 (April/May)||2:00|
|Resit Exam Diet (August)||2:00|
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.
|Coursework (which may include a Project): 15%; Degree Examination: 85%.|
|Course organiser||Prof Benedict Leimkuhler
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427
© Copyright 2011 The University of Edinburgh - 16 January 2012 6:23 am