Table of contents

The course is connected to the following study programs

Teaching language

Norwegian

Recommended previous knowledge

MA-163, MA-164 and MA-218

Learning outcomes

Upon successful completion of the course, the student will be able to

  • model simple processes and explain the main steps in mathematical modeling
  • explain some classical models where differential equations are used
  • draw and interpret direction fields and solution curves of differential equations
  • decide conditions for existence and uniqueness of solutions
  • set up and solve first order difference equations
  • set up and solve systems of linear differential equations
  • solve some classes of nonlinear ordinary differential equations
  • interpret systems of nonlinear autonomous differential equations qualitatively

Contents

Introduction to and awareness of the steps in a mathematical modeling process, including analytical solutions of some common differential equations ( first and second order linear differential equations, separable, homogeneous and exact equations, linear systems of equations with constant coefficients). Introduction to the theory of existence and uniqueness of solutions, and to the qualitative study of autonomous equations. The student will meet problems from economics, mechanics and ecology which lead to first and second order differential equations, and systems of first order differential equations (i.a. population dynamics).

Teaching and learning methods

Lectures, work in small groups and compulsory assignemets. The course has an expected workload of around 200 hours.

Examination requirements

Required assignments must be approved, see Canvas for more information.

Examinations

5-hour written examination. Graded assessment.

Student evaluation

The person responsible for the course, in consultation with the student representative, decides the method of evaluation and whether the courses will have a midterm- or end of term evaluation, see also the Quality System, section 4.1. Information about evaluation method for the course will be posted on Canvas.

Offered as a free-standing course

Yes

Reduction of Credits

This course’s contents overlap with the following courses. A reduction of credits will occur if one of these courses is taken in addition:

Course Reduction of Credits
MA-210 – Modelling and Differential Equations 1. 7.5
MA-203 – Differential Equations. 7.5
MA-226 – Differential Equations. 7.5
Last updated from FS (Felles studentsystem) Oct. 15, 2026 9:31:59 AM