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
module
Learning objectives
Knowledge
- Have knowledge and comprehension about fundamental numerical
methods in mechanical, energy and civil engineering.
- Have knowledge and comprehension about numerical methods for
solving systems of linear and nonlinear equations.
- Have knowledge about matrix eigenvalue problems.
- Have knowledge and comprehension about interpolation
methods.
- Have knowledge and comprehension about numerical integration
methods.
- Have knowledge and comprehension about numerical methods for
first and second order ordinary differential equations.
- Have knowledge and comprehension about elliptic, parabolic and
hyperbolic partial differential equations and their use in
engineering.
- Have knowledge and comprehension about numerical solution of
partial differential equations using finite difference, finite
volume and finite element methods, and have knowledge about the
application of these methods to engineering problems.
Skills
- Be able to apply numerical methods for solving linear systems
of equations using direct and iterative solvers.
- Be able to solve a nonlinear equation and systems of nonlinear
equations using numerical methods.
- Be able to estimate and calculate the eigenvalues and
eigenvectors of a matrix.
- Be able to apply different methods for the interpolation of
data.
- Be able to apply different methods for the numerical solution
of definite integrals.
- Be able to solve first and second order ordinary differential
equations using numerical methods.
- Be able to apply analytical methods for solving partial
differential equations.
- Be able to apply finite difference methods for solving
elliptic, parabolic and hyperbolic partial differential
equations.
- Be able to apply the finite volume method for solving diffusion
equations.
- Be able to apply the finite element method for solving
diffusion equations.
- Be able to apply the computer program MATLAB for the numerical
methods covered in the course.
Competences
- 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 the programme cirruculum §17.
Teaching is in English and/or Danish depending on the
participation of international students, or if the supervisor is of
foreign origin.
Extent and expected workload
Since it is a 5 ECTS course module the expected workload is 150
hours for the student.
Exam
Exams
Name of exam | Numerical Methods |
Type of exam | Written or oral exam |
ECTS | 5 |
Permitted aids | Information about allowed helping aids for the examination will
be published in the description of the semester/module. |
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 |