Course content

This course gives an introduction to physical principles and laws that are used to describe the behaviour of physical systems and introduces methods for development of mathematical models for such systems. An energy based approaches to modelling of such systems are introduced using a graphical systematic and unified method used as both an representation and as a methodology for development of consistent proper mathematical models. From a set of generalised variables a set of basic elements are developed and used for modelling of mechanical, electric, hydraulic, thermal and composite systems. Introduction to numerical methods for solution of mathematical models in state space form, system analysis and numerical simulation are given. A broad selection of engineering systems will be selected for modelling and simulation.

Learning outcome

Make the student able to develop mathematical models for simulation and analysis of physical dynamic systems. Practice use of modelling and simulations software for solving problems.

Learning methods and activities

Lectures, exercises, computer exercises and project work. All lectures will be in English. Portfolio assessment is the basis for the grade in the course. The portfolio includes a final written exam (70%) and exercises (30%). The results for the parts are given in %-scores, while the entire portfolio is assigned a letter grade. Postponed/repeated exams may be oral. Examination papers will be given in English only. Students are free to choose Norwegian or English for written assessments.

Compulsory assignments

• Exercises

Recommended previous knowledge

Undergraduate physics and dynamics.

Course materials

Pedersen, E., Engja, H., Mathematical Modelling and Simulation of Physical Systems, Lecture Notes, UK-2008-5.

Credit reductions