Module A1.1 - Mathematical Methods

Coordinator

Prof. Dr. Christian Franke

Lecturer

Dr. Holger Babovsky

Schedule

Lectures:
Tuesday 08:15-09:45 (SR 4, Physics, Max-Wien-Platz 1), starting on October 17th
Seminar (every second week):
Monday 14:30-16:00 (SR 4, Physics, Max-Wien-Platz 1) starting on November 6th

Exercises

Please visit the moodle-class to get access on the exercise sheets and more information on the module.

Registration

For this course please use Friedolin for registration. For the exam registration via DOSIS within the first 10 weeks after the start of the lecture period is necessary. You will get a note via e-mail when the DOSIS portal is open.

Week	Content	Exercises
1	Matrices I Vector Space, Span, Basis vectors, Linear Operators
2	Matrices II Matrices, Properties of Matrices, special Matrices, Trace
3	Matrices III Determinant, Inverse
4	Matrices IV Matrices in Optics: Translation, Refraction, thin Lenses, Rank of a Matrix
5	Matrices V Simultaneous linear Equations: Gaussian Elimination Direct Inversion, LU Decomposition, Cramer's rule; Eigenvalues and Eigenvectors
6	Fourier Series I Dirichlet Conditions, orthogonal relations, Fourier-coefficients
7	Fourier Series II Complex Fourier series, Examples
8	Fourier Series III; Fourier Transformation I Parseval's theorem; Fourier Transformation, properties
9	Fourier Transformation II Properties, Delta-distribution
10	Fourier Transformation III; Ordinary differential Equations I Convolution and Parseval's theorem; Examples, classification
11	Ordinary differential Equations II Geometrical representation, seperable differential eqations
12	Ordinary differential Equations III
13	Ordinary differential Equations IV Exact differential equations
14	Ordinary differential Equations V
15	Q&A

Exam:

Module A1.1 - Mathematical Methods

Coordinator

Lecturer

Schedule

Contents: