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 14.04.2016.
Tutorial (4 SWS, 4 credit points): Thursdays 09:00-12:00 o'clock
in the larger INI seminar room NB 3/57. First time 21.04.2016.
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, which is the reason why it takes 3 hours rather than the usual 1.5 hours.
Requirements: Basic knowledge of calculus and linear algebra.
Exam: This course will be concluded with an oral exam.
| # | date | Topic |
| 1 | 2016-04-14 | Visualizing Functions 1 |
| 2 | 2016-04-21 | Visualizing Functions 2 |
| 3 | 2016-04-28 | Vector Spaces 1 (without inner product) |
| 4 | 2016-05-12 | Vector Spaces 2 (with inner product) |
| 5 | 2016-06-02 | Orthonormal Basis 1 |
| 6 | 2016-06-09 | Orthonormal Basis 2 |
| 7 | 2016-06-16 | Matrices 1 |
| 8 | 2016-06-23 | Matrices 2 |
| 9 | 2016-06-30 | Linear Differential Equations 1 |
| 10 | 2016-07-07 | Linear Differential Equations 2 |
| 11 | 2016-07-14 | Nonlinear Differential Equations |