6 ECTS credits
155 h study time
Offer 1 with catalog number 1015653BNR for all students in the 1st semester at a (B) Bachelor - advanced level.
This course is subdivided in 2 parts: applied mathematics and data analysis.
A. Applied mathematics
1) Vector calculus: Concepts such as gradient, divergence, rotor and laplacian will be discussed. The equations of Gauss and Stokes will be derived and applied in physical problems.
2) Fourierseries and Fouriertransforms as well as concepts such as the Dirac delta function, convolution and correlation are discussed. Applications in X-ray crystallography, NMR and other experimental techniques are shown.
3) The solution of partial differential equations (wave, diffusion and laplace equations) by separation of variables will be illustrated for different boundary and initial conditions.
4) The Laplace transform ant its application in solving linear differential equations will be discussed.
5) Introduction to numerical analysis.
B. Data analysis
1. Experimental design
2. Analysis of variance: ANOVA
3. Multidimensional linear regression
4. Robust methods
WPO
Exercices, helping to understand the theory and illustrating scientific relevant problems, will be solved in the classroom.
Exams
Combined oral and written examination. As well theory als exercices.
Lecture notes will be available
Interesting books:
-Mathematical methods for the physical sciences. K.F. Riley. Cambridge University Press.
- The Feynman lectures on physics. Volume II
- Differrential equations with applications. Paul D. Ritgers and Nicholas J. Rose, Mc Graw-Hill Book Company (1968)
- Vectors and vector operators. P.G. Dawler. Adam Hilger Imprint by IOP Publishi ng Limited.
- Modern engineering mathematics. Glyn James. Addison-Wesley Publishing Company.
The main goal of this course is to 'understand' and to 'be able to apply' some of the mathematical concepts and techniques used in mathematical and experimental physics.
The final grade is composed based on the following categories:
Written Exam determines 100% of the final mark.
Within the Written Exam category, the following assignments need to be completed:
Exams
Combined written examination on theory and exercises.
This offer is part of the following study plans:
Bachelor of Bioengineering Sciences: Profile Cell and Gene Biotechnology (only offered in Dutch)
Bachelor of Bioengineering Sciences: Profile Chemistry and Bioprocess Technology (only offered in Dutch)
Bachelor of Bioengineering Sciences: Initial track (only offered in Dutch)