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Course Module Information
Course Modules
MP554: Advanced Applied Mathematics for Engineers 2
Semester 2 | Credits: 5
This is a mathematical methods course, and amongst the topics considered are the heat equation, Laplace's equation, Sturm-Liouville theory, the Fourier transform, and the numerical solution of partial differential equations using finite difference techniques.
(Language of instruction: English)
Learning Outcomes
- Solve the 1-dimensional heat equation subject to different boundary conditions and initial conditions
- Prove orthogonality of eigensolutions and reality of eigenvalues of a Sturm-Liouville system
- Calculate eigenvalues and construct corresponding eigenfunctions for some simple Sturm-Liouville problems
- Solve the 2-dimensional Laplace equation subject to different boundary conditions in a rectangular or a rotationally symmetric region
- Solve the 1-dimensional heat equation on an infinite region by use of the Fourier transform
- Solve the 1-d heat equation numerically by use of the finite difference method
Assessments
- Written Assessment (70%)
- Continuous Assessment (30%)
Teachers
- MICHEL DESTRADE:
Research Profile |
Email
- NOELLE GANNON:
Research Profile |
Email
Reading List
- "Advanced engineering mathematics" by Erwin Kreyszig
ISBN: 978-047045836.
Publisher: Wiley - "Mathematical methods for physics and engineering" by K. F. Riley, M. P. Hobson, S. J. Bence
ISBN: 978-052167971.
Publisher: Cambridge University Press - "Mathematical Methods in the Physical Sciences" by Mary L. Boas
ISBN: 978-047119826.
Publisher: John Wiley and Sons
Note: Module offerings and details may be subject to change.