Prerequisite/Recommended prerequisite for
participation in the module
The module is based on knowledge achieved in the module
"Applied engineering mathematics" or similar.
Content, progress and pedagogy of the
- Comprehend the solution of partial differential equations with
- Comprehend different numerical methods.
- Comprehend finite difference, finite volume and the Finite
- Be able to use analytical methods for solving partial
differential equations, including:
- Separation Method and D'Alembert's
- Be able to apply numerical methods for solving mathematical
- Linear equations
- Gauss elimination
- Factorization methods
- Iterative solution of linear equation systems, including
- Ill-conditioned linear equation systems
- Matrix eigenvalue problems
- Solution of non-linear equations
- Numerical solution of a definite integral
- Numerical solution of first order differential equations
- Numerical solution of second order differential
- Be able to apply the finite difference method for solving
partial differential equations, including:
- Difference approximations
- Elliptic equations
- Dirichlet and Neumann boundary conditions
- Parabolic equations
- Explicit and implicit methods
- Theta method
- Hyperbolic equations
- The use of the Finite Volume Method
- Be able to understand the Finite Element Method for the
solution of partial differential equations.
- Be able to handle development-oriented environments involving
numerical methods in study or work contexts.
- Be able to independently engage in disciplinary and
interdisciplinary collaboration with a professional approach within
mathematical numerical methods.
- Be able to identify own learning needs and to structure own
learning in numerical methods.
Type of instruction
The teaching is organized in accordance with the general form of
teaching. Please see § 17 in the BSc curriculum and §18 in the BE
Extent and expected workload
Since it is a 5 ECTS course module the expected workload is 150
hours for the student.
|Name of exam||Numerical Methods|
|Type of exam|
|Assessment||7-point grading scale|
|Type of grading||Internal examination|
|Criteria of assessment||The criteria of assessment are stated in the Examination
Policies and Procedures|