Mathematics for Modeling and Data AnalysisLecture and TutorialProf. Dr. Laurenz Wiskott |
Lecture (2 SWS, 2 credit points): Thursdays 12:15-13:45 o'clock
in the larger INI seminar room NB 3/57. First time 17.05.2017 (really May!).
Tutorial (2 SWS, 4 credit points): Thursdays 10:30-12:00 o'clock
in the larger INI seminar room NB 3/57. First time 07.06.2017 (really June!).
The lecture will continue into the semester break, tentatively 30.07., 02.08.,
06.08., and 09.08.
Language: This course is given in English.
Goal: The students should get a good intuition for the mathematics covered in this course.
Content: This course covers mathematical methods that are relevant for modeling and data analysis. Particular emphasis will be put on an intuitive understanding as is required for a creative command of mathematics. The following topics will be covered: Functions, vector spaces, matrices as transformations, systems of linear differential equations, and qualitative analysis of nonlinear differential equations, possibly also Bayesian theory and multiple integrals.
Format: There is a lecture, which provides the content, and a tutorial, where you solve exercises and can deepen your understanding of the content. The exercises are solved in the tutorial in a group effort, not at home. The students therefore have the opportunity to meet already at 9:00 to work on the exercises on their own.
Requirements: Basic knowledge of calculus and linear algebra.
Exam: This course will be concluded with an oral exam.
# | date | topic |
1 | 2018-05-17 | Visualizing Functions 1 |
2 | 2018-06-07 | Visualizing Functions 2 |
3 | 2018-06-14 | Linear Algebra 1 (vector spaces without inner product) |
4 | 2018-06-21 | Linear Algebra 2 (vector spaces with inner product) |
5 | 2018-06-28 | Linear Algebra 3 (orthonormal basis 1) |
6 | 2018-07-05 | Linear Algebra 4 (orthonormal basis 2) |
7 | 2018-07-12 | Linear Algebra 5 (matrices 1) |
8 | 2018-07-19 | Linear Algebra 6 (matrices 2) |
9 | 2018-07-30 | Differential Equations 1 (linear systems 1) |
10 | 2018-08-02 | Differential Equations 2 (linear systems 2) |
11 | 2018-08-06 | Differential Equations 3 (nonlinear 2D systems), |
12 | 2018-08-09 | Recapitulation |