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

Content

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.

Preconditions

working knowledge of analysis and linear algebra

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

lecture, tutorial

Media

blackboard, LCD projector, assignments

Literature

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, http://www.nr.com/. 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.

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