MAT-51316
Partial Differential Equations
spring 2011

Teacher

prof. Robert Piché

Schedule

Lectures

no lectures. The recorded lectures from last year (listed below) can be used for self-study.

Exercises

Tuesdays 2-4pm in Td308. No teaching Jan 25.

Midterm exam

Tuesday March 8 2011 in Td308

Contents

The course covers the fundamental linear PDEs (transport, Laplace, diffusion, and wave equation), how they arise as mathematical models of physical phenomena, analytical tools (Fourier series, maximum principles, Duhamel's principle, Green's functions, etc), and numerical solution methods.

Study Materials

Course notes

1. PDE models, transport equation, method of characteristics  slides, recording, exercises, solutions
2. One-dimensional models of vibration, diffusion and heat conduction slides, recording, exercises, solutions
3. Wave equation: d'Alembert's formula, energy analysis slides, recording, exercises, solutions
4. Diffusion initial-value problem  slides, recording, exercises, solutions
5. Waves and Diffusion on half-line, Duhamel's principle  slides, recording, exercises, solutions
6.  Separation of Variables slides, recording, exercises, solutions
7. Solving one-dimensional problems with Matlab-PDEPE exercises, solutions
8. Fourier series slides, recording, exercises, solutions
9. Laplace's equation slides, recording, exercises, solutions
10. Solving Laplace's equation slides, recording, exercises, solutions
11. Green's functions slides, recording, exercises, solutions
12. Matlab PDE toolbox (demo)

vanhoja tentteja / old exams: 11.2008, 1.2009, 2.2010
vanhoja välikokeita / ole midterm exams: 1.2010


päivitetty / updated 18.1.2011 by RP