Research Group Leader

Prof. Dr. Matthias Bethge
Prof. Dr. Matthias Bethge
Phone: +49 7071 29-89017
Fax: +49 7071 29-25015


Secretary: Heike König
Phone: +49 7071 29-89018
Fax: +49 7071 29-25015


Essential Mathematics for Neuroscience (Winter Term 09/10)

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
Lecture: Monday, 9:15 am - 11 am, Alte Anatomie
Tutorial: Wednesday, 4:00 pm - 6 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 (Basic Calculus)

Chapter 1.3 (Integrals)

Chapter 1.4 (Partial Derivatives)

Chapter 2.1 (Vectors)

Chapter 2.2 (Matrices)

Chapter 2.3 (Matrices and Linear Equation Systems)

Chapter 2.4 (Change of Basis)

Chapter 2.5 (Eigenvectors and Eigenvalues)

Chapter 2.6 (PCA)





Additional Downloads
10/19/2009 - 10/26/2009

10/26/2009 - 11/2/2009

11/2/2009 - 11/9/2009

11/9/2009 - 11/16/2009

11/16/2009 - 11/23/2009

11/23/2009 - 11/30/2009

11/30/2009 - 12/7/2009

12/7/2009 - 12/14/2009

12/14/2009 - 1/11/2010

Additional Material

Lecture 10

Lecture 11

Overview after 8 of 10 problem sheets:
Fabian and Philipp
Last updated: Wednesday, 27.02.2013