Lecture plan
This section contains the material covered in class, and thus, which will be evaluated on the exam. Everything that was covered in class or in the exercises is material for the exam.
Laplace transforms and Fourier analysis.
The chapter numbers refer to the 10th edition of Kreyszig.
| Week | Chapter | Content |
|---|---|---|
| 34 | 6.1, 6.2 | Laplace transforms, transform of derivatives, ODE |
| 35 | 6.3 - 6.5 | Heaviside function, delta function, convolution |
| 36 | 6.6, 6.7, 11.1 | More ODEs, Fourier series |
| 37 | 11.2 - 11.4 | More Fourier series |
| 38 | 11.7 - 11.9 | Fourier integral and transform |
| 39 | 12.1 - 12.4 | Wave equation |
| 40 | 12.5 - 12.7 | Heat equation |
Numerical methods.
The curriculum is covered by the notes found in Jupyter notes. There are also pdf-versions of the notes available.
About programming: You are supposed to be able to read and understand simple python code, and to do small modifications on a given code. Possible small syntax errors will have no influence on the grade.
| Week | Content |
|---|---|
| 41 | Introduction to numerical methods. Polynomial interpolation |
| 42 | Numerical integration |
| 43 | Numerical solution of nonlinear equations |
| 44 | Numerical solution of ordinary differential equations |
| 45-46 | Numerical differentiation and numerical solution of partial differential equations |
| 47 | Repetition |
There are video lectures from 2011, which should only be considered as support, and not as replacement of the class lectures. Note that the order in which the different topics were discussed in 2011 differs from the lectures, the curriculum has also been altered, in particular the numerics part.