TMA4195 - Mathematical Modelling


Examination arrangement

Examination arrangement: Aggregate score
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
Group Assignment 25/100
School exam 75/100 4 hours D

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 groups, and is able to communicate the results orally and in writing.

Learning methods and activities

Lectures and a obligatory modelling project in groups. Exercises are given, but are not mandatory. Lectures, all written documentation and the exam are given in English. Students are free to choose Norwegian or English for written assessments including the exam.

Further on evaluation

The final grade in this course is based on the written school exam (75%) and the comulsory group project (25%). The results of the project and the exam are given separately by letter grades, with the final grade weighted as specified. A student must have a passed grade on the written school exam and the project to qualify for a final passed grade.

The retake exam for students who failed the ordinary exam is given as an oral exam. The retake exam is in August. For the final grade, the oral exam counts 75% and the grade from the already finished project 25%. Students that fail on the project, but pass the ordinary exam, must take the project when the subject is given ordinary later. Students who retake an ordinary written exam must retake the course in its entirety, that is; retake all parts of the evaluation.

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 2024

Language of instruction: English

Location: Trondheim

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

Department with academic responsibility
Department of Mathematical Sciences


Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD School exam 75/100 D INSPERA
Room Building Number of candidates
Autumn ORD Group Assignment 25/100 INSPERA
Room Building Number of candidates
Summer UTS School exam 75/100 D INSPERA
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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