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SS 2010 (310003)

Mathematics for Modeling and Data Analysis

Lecture and Tutorial
Prof. Dr. Laurenz Wiskott
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Lecture (2 SWS, 2 credit points): Thursdays 10:30-12:00 o'clock in the INI seminar room ND 03/89,92.
Tutorial (2 SWS, 4 credit points): Wednesdays 14:15-15:45 o'clock in the INI seminar room ND 03/89,92.


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, Hilbert-Spaces, matrices as, transformations, systems of linear differential equations, qualitative analysis of nonlinear differential equations, Bayes theory, multiple integrals.

For a certificate you need at least 50% in the final exam. (Active participation in the tutorial is not required anymore!)

This course can be given in English upon request. Course material (lecture notes and exercise sheets) will be in English in any case.


Schedule

# date lecture / tutorial Topic
1 2010-04-15 / 2010-04-21 Visualizing Functions 1
2 2010-04-22 / 2010-04-28 Visualizing Functions 2
3 2010-04-29 / 2010-05-05 Vector Spaces 1
4 2010-05-06 / 2010-05-12 Vector Spaces 2 + Orthonormal Basis 1
5 2010-05-20 / 2010-06-09 Orthonormal Basis 2 + Matrices 1
6 2010-06-10 / 2010-06-16 Matrices 2
7 2010-06-17 / 2010-06-30 Matrices 3
8 2010-07-01 / 2010-07-07 Differential Equations 1
9 2010-07-08 / 2010-07-14 Differential Equations 2
10 2010-07-15 / 2010-07-21 Multiple Integrals
11 2010-07-22 Differential Equations 3

Laurenz Wiskott, http://www.neuroinformatik.ruhr-uni-bochum.de/PEOPLE/wiskott/