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SS 2018 (310503/310513)

Mathematics for Modeling and Data Analysis

Lecture and Tutorial
Prof. 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 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.


Lecture and Tutorial

Tentative Schedule

# 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

Laurenz Wiskott, http://www.ini.rub.de/PEOPLE/wiskott/