Numerical Programming 1 (CSE)

Module MA3305

This Module is offered by TUM 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.

Basic Information

MA3305 is a semester module in English language at Master’s level which is offered in winter 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


Fundamentals of analysis and linear algebra; Condition numbers, floating point arithmetic, stability; Solving linear systems (Gaussian elimination, least squares); Eigenvalue problems; Interpolation (algebraic and trigonometric polynomials, splines); Intgration (sum rules, Gaussian quadrature); iterative methods (Jacobi, Gauß-Seidel, CG, Newton); Runge-Kutta method.

Learning Outcome

At the end of the module, the students are able to understand the mathematical principles of numerical programming and to apply basic numerical algorithms.


working knowledge of analysis and linear algebra

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

lecture, tutorial


blackboard, LCD projector, assignments


Quarteroni /Saleri /Gervasio: Scientific Computing with MATLAB and Octave, Springer 2010. Moler: Numerical Computing with MATLAB, SIAM, 2004. Press, Flannery, Teukolsky, Vetterling: Numerical Recipes.Cambridge University Press, Strang: Introduction to Linear Algebra, Wellesley-Cambridge, 2009. Strang, Calculus, Wellesley-Cambridge, 1991.

Module Exam

Description of exams and course work

written exam

Exam Repetition

There is a possibility to take the exam at the end of the semester.

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.