Module A1.1 - Mathematical Methods

Prof. Dr. Herbert Gross

Dr. Holger Babovsky

Lectures: every Tuesday 8.15 - 9.45 (Lecture hall 2 Physik), starting on Oct 16th.
Exercise: every second Monday 14.15 - 15.45 (SR4 Physik), starting on Oct 29th.
- on December 17th, there will be a tutorium for all interested students 14.15 - 15.45 (SR4 Physik)
Course materials: Will be distributed during the course

Week	Content	Exercises
1 16.10.2018	Matrices I Vector Space, Span, Basis vectors, Linear Operators, Matrices
2 23.10.2018	Matrices II Properties of Matrices, special Matrices, Trace, Determinant
3 30.10.2018	Matrices III Determinant, Inverse	Series 1
4 06.11.2018	Matrices IV Matrices in Optics: Translation, Refraction, thin Lenses, Rank of a Matrix
5 13.11.2018	Matrices V Simultaneous linear Equations: Gaussian Elimination Direct Inversion, LU Decomposition, Cramer's rule; Eigenvalues and Eigenvectors	Series 2
6 20.11.2018	Fourier Series I Dirichlet Conditions, orthogonal relations, Fourier-coefficients
7 27.11.2018	Fourier Series II Complex Fourier series, Examples	Series 3
8 04.12.2018	Fourier Series III; Fourier Transformation I Parseval's theorem; Fourier Transformation, properties
9 11.12.2018	Fourier Transformation II Properties, Delta-distribution	Series 4
10 18.12.2018	Fourier Transformation III; Ordinary differential Equations I Convolution and Parseval's theorem; Examples, classification
11 08.01.2019	Ordinary differential Equations II Geometrical representation, seperable differential eqations	Series 5
12 15.01.2019	Ordinary differential Equations III	Tutorium starting on 14.01.2019 at 14.15 p.m. SR 4 (Physics)
13 22.01.2019	Ordinary differential Equations IV Exact differential equations	Series 6
14 29.01.2019	on January 29th, there will be no lecture
15 05.02.2019	Ordinary differential Equations V	Series 7

Tutorium:

Basic tasks and their solution on differentiation and integration.

Exam:

Here you can find a mock exam and its solution in preparation of this semesters exam.

The re-take will take place on 7 June 10:00-12:00, Seminar room 5, Helmholtzweg 4.

Contents: