Mathematics for Modeling and Data Analysis
Lecture and TutorialProf. Dr. Laurenz Wiskott
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Mathematics for Modeling and Data AnalysisLecture and TutorialProf. Dr. Laurenz Wiskott |
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Lecture (2 SWS, 2 credit points): Thursdays 12:15-13:45 o'clock
in the larger INI seminar room NB 3/57. First time 05.04.2012.
Tutorial (2 SWS, 4 credit points): Thursdays 10:30-12:00 o'clock
in the larger INI seminar room NB 3/57. First time 12.04.2012.
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, qualitative analysis of nonlinear differential equations, Bayes theory, multiple integrals.
Criteria for a certificate for the tutorial are an active participation, in particular presentation of selected exercises, and at least 50% in the final exam.
This course can be given in English upon request. Course material (lecture notes and exercise sheets) will be in English in any case.
| # | date | Topic |
| 1 | 2012-04-05 | Visualizing Functions 1 |
| 2 | 2012-04-12 | Visualizing Functions 2 |
| 3 | 2012-04-19 | Vector Spaces 1 (without inner product) |
| 4 | 2012-04-26 | Vector Spaces 2 (with inner product) |
| 5 | 2012-05-03 | Orthonormal Basis 1 |
| 6 | 2012-05-10 | Orthonormal Basis 2 |
| 7 | 2012-05-24 | Matrices 1 |
| 8 | 2012-06-14 | Matrices 2 |
| 9 | 2012-06-21 | Differential Equations 1 |
| 10 | 2012-06-28 | Differential Equations 2 |
| 11 | 2012-07-05 | Differential Equations 3 |
| 12 | 2012-07-12 | Summary and Review of the Course |