Course content

Dimensional analysis. Scaling. Perturbation analysis, dynamical models. Conservation laws. Applications from engineering and natural sciences. Case studies.

Learning outcome

1. Knowledge. The student masters generic principles and methods for the formulation and analysis of mathematical models of systems and processes in engineering and the natural sciences. This includes knowledge of dimensional analysis, scaling, perturbation analysis, dynamical models, and conservation laws. The student has some insight into the possibilities for performing analytical and numerical computations based on the model.

2. Skills. The student is able to formulate and qualitatively analyze mathematical models of a wide range of systems and processes.

3. General competence. The student can work in cross-disciplinary groups, and is able to communicate the results orally and in writing.

Learning methods and activities

Lectures and a modelling seminar in groups. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (75%) and the modeling seminar (25%). The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. Retake of examination may be given as an oral examination.

Recommended previous knowledge

TMA4100/05/10/15 Calculus 1/2/3/4 or similar courses. Beyond this, a basic knowledge of applied mathematics and physics is an advantage.

Course materials

To be announced at the beginning of the term.

Credit reductions