Project Modelling

Faculteit Science and Engineering
Jaar 2019/20
Vakcode WBMA19004
Vaknaam Project Modelling
Niveau(s) bachelor
Voertaal Engels
Periode semester II b
ECTS 5
Rooster rooster.rug.nl

Uitgebreide vaknaam Project Modelling
Leerdoelen At the end of the course, the student is able to:
1. review and reproduce analytical and numerical methods for solving linear 1st order and linear 2nd order ordinary differential equations.
2. to calculate both analytical and numerical solutions of the one-dimensional heat/diffusion equation.
3. construct mathematical models to represent physical phenomena, solve the model using analytical and/or numerical techniques, analyse correctly the results in terms of the physical solution.
4. use mathematical software (Matlab and/or Mathematica) for solving mathematical models that involve differential equations.
5. plan and organize the research work in a team.
6. communicate the research results in both written and oral form.
Omschrijving This course is a first introduction to the mathematical treatment of physical phenomena. It aims to provide the students with some basic modelling skills, which have application to a wide variety of problems. The focus is on those mathematical techniques which describe rates of change, conservation laws, steady and unsteady equations/ solution methods.
First, attention is paid to the formulation of a mathematical model that captures a physical phenomenon. Then the mathematical techniques (both analytical and numerical) are discussed, that are needed to solve the model. The main mathematical technique used is that of solving differential equations. In addition, attention is paid to critically interpreting the results in the physical setting.

The course contributes to the following transferable (academic) skills:
1) problem analysis and solving
2) literature review
3) reflection and critical thinking
4) teamwork
5) effective communication
During the course, the students work in groups. Each group is assigned two problems (projects). The first problem can be solved using ordinary differential equations, the second using partial differential equations. In many cases, numerical methods are needed for solving the equations. A written report has to be delivered for each assignment. Moreover, after each project a short oral presentation is given.
Uren per week
Onderwijsvorm Hoorcollege (LC), Opdracht (ASM)
Toetsvorm Opdracht (AST), Presentatie (P), Verslag (R)
(There are 2 projects. Both projects are closed with a written report and an oral presentation. The grade for each project is composed of the grade for the (ensemble of) report and oral presentation (80%) and the individual contribution of the student to the group work (20%). The final grade is the average of the two grades for the two projects. Attending the oral presentations is mandatory, not being present leads to 1.0 point subtraction from the grade for that project)
Vaksoort bachelor
Coördinator dr. ir. R. Luppes
Docent(en) dr. ir. R. Luppes
Verplichte literatuur
Titel Auteur ISBN Prijs
Lecture Notes dr. ir. R. Luppes
Entreevoorwaarden The course unit assumes prior knowledge acquired from first year Linear Algebra and Calculus, and Computer-assisted problemsolving.
Opmerkingen
Opgenomen in
Opleiding Jaar Periode Type
BSc Applied Mathematics 2 semester II b verplicht
BSc Courses for Exchange Students: Mathematics 19-20 - semester II b keuze