Project Mathematical Physics
Faculteit  Science and Engineering 
Jaar  2017/18 
Vakcode  WIIPMF06 
Vaknaam  Project Mathematical Physics 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Project Mathematical Physics  
Leerdoelen  In this course the students apply computational modelling skills for solving differential equations. The focus is on those mathematical techniques which describe rates of change, conservation laws, steady and unsteady equations/ solution methods. The following objectives are achieved in the course: 1. The student is able to review and reproduce analytical and numerical methods for solving linear 1st order and linear 2nd order ordinary differential equations. 2. The student is able to calculate both analytical and numerical solutions of the onedimensional heat/diffusion equation. 3. The student is able to 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. The student is able to use mathematical software (Matlab and/or Mathematica) for solving mathematics models that involves differential equations. 5. The student is able to plan and organize the research work in a team. 6. The student is able to 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)
(Besides lectures, where theory is discussed, the students work in teams on project assignments where physical phenomena must be described.) 

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.) 

Vaksoort  bachelor  
Coördinator  dr. ir. R. Luppes  
Docent(en)  dr. ir. R. Luppes  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes prior knowledge acquired from first year Linear Algebra and Calculus, and Computerassisted problemsolving.  
Opmerkingen  The course prepares for other courses in the field of (Computational) Mathematical Modelling and Applied Mathematics. Moreover, experience is gained in project work and solving (engineering) problems form the outside world, and hence regarding a possible future work environment.  
Opgenomen in 
