TMA4195 - Mathematical Modelling


Examination arrangement

Examination arrangement: Portfolio assessment
Grade: Letters

Evaluation Weighting Duration Grade deviation Examination aids
Work 25/100
Written examination 75/100 4 hours C

Course content

The course is an introduction to generic principles and methods to formulate mathematical models of systems and processes in science and engineering. Topics covered include dimensional analysis, scaling, perturbation analysis, dynamical models, conservation laws, and applications.

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 a modeling project and homework (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. The lectures may be given in English. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.

Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation. see «Teaching methods and activities».

Course materials

To be announced at the beginning of the term.

Credit reductions

Course code Reduction From To
SIF5036 7.5
More on the course

Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  AUTUMN 2021

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Mathematics
  • Statistics
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences


Examination arrangement: Portfolio assessment

Term Status code Evaluation Weighting Examination aids Date Time Digital exam Room *
Autumn ORD Written examination 75/100 C 2021-12-16 15:00
Room Building Number of candidates
Autumn ORD Work 25/100
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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