Table of contents

The course is connected to the following study programs

Teaching language

Norwegian

Recommended previous knowledge

MA-178 Mathematics 1, MA-179 Mathematics 2, and MA-222 Mathematics 3 or equivalent.

Learning outcomes

On successful completion of this course, the student should be able to 
  • Calculate curve, surface and volume integrals in different coordinate systems
  • Use parametric curves and their properties in two and three dimensions
  • Calculate work, circulation and flux
  • Use Green’s, Stokes’ and Gauss’ Theorems in calculation of multivariable integrals

Contents

Conic sections and quadratic curves, polar coordinates. Cylinders and quadratic surfaces. Parametric curves in the plane and in the space, and their properties. Change of coordinates, including cylindrical and spherical coordinates. Curve, surface and volume integrals of scalar and vector functions. Work, circulation and flux. Divergence and curl. Potential functions for conservative vector fields. Green’s, Stokes’ and Gauss’ Theorems.

Examination requirements

Enough approved mandatory exercises. Information about mandatory assignments will be given in Canvas at the start of the semester. 

Examinations

Individual written exam, 4 hours. Graded A-F.

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-209 – Mathematics 3. 7.5
Last updated from FS (Felles studentsystem) Oct. 15, 2026 6:18:04 AM