MA-307 Mathematics 4
- ECTS Credits:
- 7.5
- Responsible department:
- Faculty of Engineering and Science
- Course Leader:
- Svitlana Rogovchenko
- Lecture Semester:
- Autumn
- Teaching language:
- Norwegian
- Duration:
- 1 term
Teaching language
NorwegianRecommended prerequisites
MA-178 Mathematics 1, MA-179 Mathematics 2, and MA-222 Mathematics 3 or equivalent.
Course 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.
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
Examination requirements
Enough approved mandatory exercises. Information about mandatory assignments will be given in Canvas at the start of the semester.
Teaching methods
Lectures, tutorial groups for exercises, mandatory assignments. Information on exercises will be given in Canvas.
Admission Requirement if given as Single Standing Module
Higher Education Entrance Qualification including mathematics R1 and R2 and physics 1, or a pass in the preliminary course examination for engineers (which is also offered at University of Agder).
Assessment methods and criteria
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 |