This website is no longer updated.

As of 1.10.2022, the Faculty of Physics has been merged into the TUM School of Natural Sciences with the website For more information read Conversion of Websites.

de | en

Numerical Programming 2 (CSE)

Module MA3306

This Module is offered by Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of SS 2020

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
WS 2021/2SS 2021SS 2020SS 2012WS 2011/2

Basic Information

MA3306 is a semester module in English language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • Catalogue of non-physics elective courses
Total workloadContact hoursCredits (ECTS)
240 h 90 h 8 CP

Content, Learning Outcome and Preconditions


Numerical solution of stiff ordinary differential equations; introduction to numerical partial differential equations; finite differences; finite elements; finite volumes; programming in MATLAB

Learning Outcome

At the end of the module students are able to understand, to apply and to assess numerical solution techniques for stiff ordinary differential equations and numerical methods for the solution of partial differential equations. They have programming skills and are able to handle corresponding software in order to solve practical examples.


MA3305 Numerical Programming 1 CSE; basic linear algebra; basic calculus

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

This module comprises lectures and accompanying tutorials. Students will be encouraged to study the literature and to get involved with the topics in depth. In the tutorials, concrete numerical problems will be solved and selected examples will be discussed.


lecture notes and blackboard; MATLAB Demos


Iserles, A.: A first course in the numerical analysis of differential equations. Cambridge University Press, Cambridge, 1996.
Moler, C.: Numerical computing with MATLAB, SIAM 2004.

Module Exam

Description of exams and course work

The exam will be in written form (90 minutes). Students demonstrate that they have gained deeper knowledge of the mathematical concepts of the numerical algorithms presented in the course. The students are expected to be able to derive the methods, to explain their properties, to read and write pseudocode of the algorithms, and to apply them to specific examples.

Exam Repetition

The exam may be repeated at the end of the semester.

Top of page