Research Group Leader

Prof. Dr. Matthias Bethge
Prof. Dr. Matthias Bethge
Phone: +49 7071 29-89017
Fax: +49 7071 29-25015
mbethge[at]tuebingen.mpg.de

 

Secretary: Heike König
Phone: +49 7071 29-89018
Fax: +49 7071 29-25015
heike.koenig[at]tuebingen.mpg.de
 

 

Essential Mathematics for Neuroscience (Winter Term 08/09)

Course Content
The course is intended to give a mathematical refresher about all the mathematics needed in the everyday life of a neuroscientist, and in particular, in other courses of the program. An excercise assignment will be handed out at the beginning of the term in order to assess the level of mathematical background of the audience. The level of the course will be chosen according to the results of this excercise.

The course itself will consist of two main parts: (i) An introduction to Linear Algebra and (ii) an introduction to Calculus. The introduction to Linear Algebra will mainly cover vector- and matrix manipulations. The introduction to Calculus we will cover integration, differentiation and some Fourier Analysis.


Whenever possible, examples from neuroscience will accompany the subject matter. We will try to adjust the contents of the lessons as well as possible to the needs of the students.

Location and Time
Friday, 11:15 am - 1 pm, Alte Anatomie
Further Information
Visit the course website at the Graduate School of Neural and Behavioural Sciences.
Lecture Notes
 
Current Lecture Notes

Chapter 1.1 (Essential Functions)

Chapter 1.2 (Derivatives, Optima of Univariate Functions, Taylor Approximation)

Chapter 1.3 (Integration)

Chapter 1.4 (Gradients and Optima of Multivariate Functions)

Chapter 2.1 (Vectors)

Chapter 2.2 (Matrices)

Chapter 2.3 (Invertibility, Inverses and Rank)

Chapter 2.4 (Change of Basis)

Chapter 2.5 (Eigenvalues and Eigenvectors)

Chapter 2.6 (Principle Component Analysis - PCA)

Chapter 3.1 (Fourier Series)

Chapter 3.2 (Fourier Series and Complex Numbers)

Chapter 3.3 (Fourier Transform)

 
Exercises
 
Week

Assignment

Solution

FAQ/Hints

Additional Downloads
10/17/2008 - 10/31/2008




10/31/2008 - 11/14/2008




11/14/2008 - 11/28/2008




11/28/2008 - 12/12/2008




12/12/2007 - 12/19/2007




 
Lecturer
Fabian and Jakob
Last updated: Wednesday, 27.02.2013