Content, progress and pedagogy of the
module
Objective:
Students who complete the module:
Learning objectives
Knowledge
- Must be able to understand the analytical solution of partial
differential equations including
- Linear equation systems, Gaussian elimination, factorization
methods
- Must be able to understand numerical solution methods including
- Iterative solution of equations e.g. Gauss-Seidel,
ill-conditioned systems of linear equations, matrix eigenvalue
problems, solution of non-linear equations, interpolation, splines,
numerical solution of integrals, numerical solution of first-order
and second-order differential equations
Skills
- Must be able to apply numerical methods to solve mathematical
problems
- Must be able to apply finite difference and finite element
methods including
- The finite difference method
- The finite volume method
- Difference approximations, elliptic equations, Dirichlet og
Neumann boundary conditions, parabolic equations, explicit and
implicit methods, the Theta method, hyperbolic equations
- The finite element method
Competences
- Must be able to apply numerical methods in engineering
- Must be able to contribute independently to professional and
multidisciplinary work with a professional knowledge on numerical
methods
- Must be able to identify personal learning needs and be able to
structure the learning within numerical methods
Type of instruction
Lectures, etc. supplemented with project work, workshops,
presentation seminars, lab tests.
Extent and expected workload
Since it is a 5 ECTS project module, the workload is expected to
be 150 hours for the student.
Exam
Exams
Name of exam | Numerical Methods |
Type of exam | Written or oral exam
Individual oral or written exam |
ECTS | 5 |
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 |