Prerequisite/Recommended prerequisite for
participation in the module
Content, progress and pedagogy of the
Not all mathematical and engineering problems are simple enough to
solve analytically. The purpose of this course is to provide the
students with tools and methodologies to approach those problems
that cannot be solved with 'pen and paper', but requires
- Must have understanding of how to solve partial differential
equations with analytic methods
- Must have understanding of different numerical methods
- Must have an understanding of finite difference, finite volume
and finite element method
- Shall be able to use analytical methods for solving
partial differential equations, in particular the method of
Separation of Variables and D’Alembert’s Principle.
- Shall be able to utilize numerical methods to solve
mathematical problems, including:
- Systems of linear equations, Gauss elimination, and
- Iterative solution of systems of linear equations, e.g.,
- Ill-conditioned systems of linear equations.
- Matrix Eigen value problems.
- Solving systems of non-linear equations.
- Interpolation and splines.
- Numerical solution of definite integrals.
- Numerical solution of first- and second-order differential
- Must be able to utilize finite difference methods for solution
of partial differential equations, including:
- Approximation by finite differences.
- Elliptical equations.
- Dirichlet and Neumann boundary value problems.
- Parabolic equations.
- Explicit and implicit method, the Theta-method.
- Hyperbolic equations.
- Relationship with finite volume methods.
- Shall have understanding of finite element methods for solving
partial differential equations.
- Shall demonstrate development of his/her knowledge of,
understanding of, and ability to make use of, mathematical theories
and methods related to solving technical problems using numerical
- Shall be able to identify their own learning requirements and
structure their own learning within the context of numerical
Type of instruction
The programme is based on a combination of academic,
problem-oriented and interdisciplinary approaches and organised
based on the following work and evaluation methods that combine
skills and reflection: • Lectures • Classroom instruction • Project
work • Workshops • Exercises (individually and in groups) • Teacher
feedback • Reflection • Portfolio work
Extent and expected workload
Since it is a 5 ECTS course module, the work load is expected to
be 150 hours for the student.
|Name of exam||Numerical Methods|
|Type of exam|
Written or oral examination
With certain aids:
Unless otherwise stated in the course description in Moodle, it is
permitted to bring all kinds of (engineering) aids including books,
notes and advanced calculators. If the student brings a computer,
it is not permitted to have access to the Internet and the teaching
materials from Moodle must therefore be down loaded in advance on
the computer. It is emphasized that no form of electronic
communication must take place.
|Assessment||7-point grading scale|
|Type of grading||Internal examination|
|Criteria of assessment||As stated in the Joint Programme Regulations.