Course syllabus

Matematisk modellering, fortsättningskurs
Mathematical Modelling, Advanced Course

FRT095, 4,5 credits, A (Second Cycle)

Valid for: 2013/14
Decided by: Education Board B
Date of Decision: 2013-04-10

General Information

Main field: Technology.
Compulsory for: Pi3
Elective for: F4, F4-bs, I4
Language of instruction: The course will be given in Swedish

Aim

The aim of the course is to stengthen and develop the student's knowledge and skills in modelling in the form of basic theory and a practical project.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

• have improved his/her basic knowledge about mathematical modelling
• have developed new knowledge and skills within the area of the project

Competences and skills
For a passing grade the student must

• be able to perform several of the phases in a typical modelling project: identification of the aim of the model, data collection, analysis, model structure selection, parameter estimation, simulation, validation, documentation, and presentation
• be able to present the project results on both oral and written form
• show ability for teamwork and collaboration

Judgement and approach
For a passing grade the student must

• understand the relations and limitations when simplified models are used to describe a complex reality

Contents

The lectures (20% of the course) present different model types and describe the foundations for physical modelling as well as modelling from measured data. Model validation is a central concept. Simulation methods for different model types are presented.

The project part (80% of the course) should involve expertise from several different areas. The project plan and regular project meetings are central parts of the course. The written report should be put in relationship with the content of the lectures.

Examination details

Grading scale: UG
Assessment: Accepted project. Oral and written project presentation and written and oral opposition.

Admission

Required prior knowledge: FMAF05 Mathematics - Systems and Transforms, FMS045 Stationary Stochastic Processes, FMA021 Applied Mathematics.
The number of participants is limited to: No

Reading list

• Lennart Ljung och Torkel Glad, Modellbygge och Simulering, Studentlitteratur, 2nd edition 2004, ISBN 91-44-02443-6.

Contact and other information

Course coordinator: Professor Anders Rantzer, anders.rantzer@control.lth.se
Course coordinator: Maria Henningsson, Maria.Henningsson@control.lth.se
Course homepage: http://www.control.lth.se/Education/EngineeringProgram/FRT095.html