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 11.04.2013.
Tutorial (2 SWS, 4 credit points): Thursdays 10:30-12:00 o'clock
in the larger INI seminar room NB 3/57. First time 18.04.2013.
Language: This course can be given in English upon request. Course material (lecture notes and exercise sheets) will be in English in any case.
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.
Requirements: Basic knowledge of calculus and linear algebra.
Certificate: 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.
| # | date | Topic (course material) |
| 1 | 2013-04-11 | Visualizing Functions 1 |
| 2 | 2013-04-18 | Visualizing Functions 2 |
| 3 | 2013-04-25 | Vector Spaces 1 (without inner product) |
| 4 | 2013-05-02 | Vector Spaces 2 (with inner product) |
| 5 | 2013-05-16 | Orthonormal Basis 1 |
| 6 | 2013-06-06 | Orthonormal Basis 2 |
| 7 | 2013-06-13 | Matrices 1 |
| 8 | 2013-06-20 | Matrices 2 |
| 9 | 2013-06-27 | Differential Equations 1 |
| 10 | 2013-07-04 | Differential Equations 2 |
| 11 | 2013-07-11 | Differential Equations 3 |
| 12 | 2013-07-18 | Summary and Review of the Course |