6 ECTS credits
150 h study time
Offer 1 with catalog number 1015193ANR for all students in the 2nd semester at a (A) Bachelor - preliminary level.
Error analysis
Computer arithmetics
Machine precision
Numerical stability and conditioning
Linear system of equations
Direct method
LU decomposition
Iterative methods for large systems (WPO)
Cholesky decomposition (WPO)
Matrix inverse (WPO)
QR-decomposition
Gram-Schmidt orthogonalisation
QR decomposition
Eigenvalues en eigenvectors
Least squares (WPO)
Geconjugated gradients (WPO)
Root solving of nonlinear equations
Binary search
Banach fixpoint iterations
Steffenson fixpoint iterations
Newton methodes
Damping
Optimalisation – Newton-Raphson (WPO)
Numerical integration
Trapezoidal rule
Simpson rule
Newton-Cotes formulas
Romberg extrapolation
Differential equations (WPO)
none
The student obtains a foundation in numerical techniques. The student revisits classical results from linear algebra and analysis with the aim to establishing these results from a constructive viewpoint. The student sees that various implementations ways do not reveal equivalent results although these are analytically equivalent. The student learns to analyze computational complexity, numerical stability and discriminate between various sources of error.
The student programs the solutions from the course in Matlab. In particular, the student learns how to translate abstract mathematical theorems to a practical Matlab solution.
The final grade is composed based on the following categories:
Oral Exam determines 60% of the final mark.
Practical Exam determines 40% of the final mark.
Within the Oral Exam category, the following assignments need to be completed:
Within the Practical Exam category, the following assignments need to be completed:
Oral exam determines 60% of the final mark. 30% of the mark is based on the Matlab exercises while the remaining 30% covers the theory. The practical exam is prepared on PC for the exercises and defended with the assistant, for the theory on paper and defended with the professor.
Project in group determines 40% of the final mark in which a numerical problem is solved through methods described in the course. The group proposes the solution of the numerical problem by a report of max. 10 pages. The project is defended in group during one of the sessions.
This offer is part of the following study plans:
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Master of Teaching in Social Sciences: politieke wetenschappen en sociologie (90 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: biologie (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: geografie (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: chemie (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: fysica (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: computerwetenschappen (120 ECTS, Etterbeek) (only offered in Dutch)
Master of Teaching in Science and Technology: ingenieurswetenschappen (120 ECTS, Etterbeek) (only offered in Dutch)