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.

Semester
1st semester
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Enrollment Requirements
Students who want to enroll for this course, must have passed for “Probability and Statistics”. Additionnally one should have acquired 33 ECTS within the module “Basic Sciences”.
Taught in
Dutch
Faculty
Faculty of Sciences and Bioengineering Sciences
Department
Bio-Engineering Sciences
Educational team
Dominique Maes (course titular)
Activities and contact hours

39 contact hours Lecture
26 contact hours Seminar, Exercises or Practicals
Course Content

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.

Course material
Digital course material (Required) : Wiskundige en fysische modellen: data-analyse in de biotechnologie
Additional info


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.

Learning Outcomes

Algemene competenties

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.

Grading

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:

  • theory and exercises with a relative weight of 1 which comprises 100% of the final mark.

Additional info regarding evaluation

 

Exams

Combined  written examination on theory and exercises.

Allowed unsatisfactory mark
The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.

Academic context

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)