MATH220 Mathematical Modelling
Credits (ECTS):10
Course responsible:Geir Bogfjellmo
Campus / Online:Taught campus Ås
Teaching language:Norsk
Course frequency:Annually.
Nominal workload: Lectures: 48 hours Exercise sessions: 24 hours Project: 75 hours Self-study: 103 hours
Teaching and exam period:This course starts in Spring parallel. This course has teaching/evaluation in the spring parallel, .
About this course
The course introduces the student to different forms of mathematical models, how they can be used and interpreted.
- Ordinary Differential Equations (ODE) models: The derivation of ODEs as models of phenomena such as population dynamics, chemical reactions, etc. Numerical solution of ODEs. Partial differential equations as limits of systems of ODEs.
- Graph/NetworkModels: How graphs/networks can be used to model relations and interactions such as the internet, transportation networks, electrical circuits, etc.
- Stochastic models: How uncertainty can be introduced in models via random variables. Examples of stochastic models covered are Markov Chains, Poisson point processes and Kalman filters.
Learning outcome
Knowledge
After completing the course, the student will be familiar with different forms of mathematical models, their derivation and uses.
Skills The student will be able to apply the methods from the course to analyze models and solve practical problems where these methods are relevant.
General competence
The student will be able to use computer tools to do implement and compute with the models.
- The teaching consists of lectures, practice lessons, a project and self-study.
LMS is used for the course.
The teacher responsible can be contacted at their office or by e-mail.
MATH121, MATH122 and MATH123 or MATH111, MATH112 and MATH113
INF120
STAT100 or STAT101 or DAT110
Portfolio:
Modelling project and final exam (3.5 hours)
- The external and internal examiner jointly prepare the exam questions and the correction manual. The external examiner reviews the internal examiner's examination results by correcting a random sample of candidate's exams as a calibration according to the Department's guidelines for examination markings.
Project presentation
If the course is repeated, the compulsory activity has to be repeated.
Lectures: 4 hours per week. Plenary session 2 hours per week.
Some lectures will be replaced with project work.