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SS 2015 (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 09.04.2015.
Tutorial (2 SWS, 4 credit points): Thursdays 10:30-12:00 o'clock in the larger INI seminar room NB 3/57. First time 16.04.2015.


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.


Lecture and Tutorial

# date Topic
1 2015-04-09 Visualizing Functions 1
2 2015-04-16 Visualizing Functions 2
3 2015-04-23 Vector Spaces 1 (without inner product)
4 2015-05-07 Vector Spaces 2 (with inner product)
5 2015-05-21 Orthonormal Basis 1
6 2015-06-11 Orthonormal Basis 2
7 2015-06-18 Matrices 1
8 2015-06-25 Matrices 2
9 2015-07-02 Bayesian Theory
10 2015-07-09 Differential Equations 1
11 2015-07-16 Differential Equations 2

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