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 20.04.2017.
Tutorial (2 SWS, 4 credit points): Thursdays 10:30-12:00 o'clock
in the larger INI seminar room NB 3/57. First time 27.04.2017.
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 | 2017-04-20 | Visualizing Functions 1 |
| 2 | 2017-04-27 | Visualizing Functions 2 |
| 3 | 2017-05-04 | Linear Algebra 1 (vector spaces without inner product) |
| 4 | 2017-05-11 | Linear Algebra 2 (vector spaces with inner product) |
| 5 | 2017-05-18 | Linear Algebra 3 (orthonormal basis 1) |
| 6 | 2017-06-01 | Linear Algebra 4 (orthonormal basis 2) |
| 7 | 2017-06-22 | Linear Algebra 5 (matrices 1) |
| 8 | 2017-06-29 | Linear Algebra 6 (matrices 2) |
| 9 | 2017-07-06 | Differential Equations 1 (linear systems 1), |
| 10 | 2017-07-13 | Differential Equations 2 (linear systems 2) |
| 11 | 2017-07-20 | Differential Equations 3 (nonlinear 2D systems), |
| 12 | 2017-07-27 | Oral Exam Practice |