Table of contents

The course is connected to the following study programs

Teaching language

Norwegian

Recommended previous knowledge

Calculus 1

Learning outcomes

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

  • Explain and apply key concepts related to sequences and series of numbers and functions.
  • Explain and apply key concepts related to elementary real valued functions of two variables.
  • Analyze the graphs of functions of two variables and optimize such functions over given a set of constrains.
  • Find iterated anti-derivatives and apply these.

Contents

Sequences and series of reals numbers and functions, power series. Convergence and divergence. Differentiation and anti-differentiation of power series. Analysis of non-elementary functions by means of power series. Parametric curves in two dimensions. Polar coordinates. Functions of two variables, partial differentiation, gradient, level curves, tangent plane, optimization with and without constraints. Lagrange’s method. Double- and triple integral. Applications.

Teaching and learning methods

Lectures, group work, mandatory hand-ins, and peer review. Requirements for minimum 70% compulsory participation. Estimated workload of the course is 267 hours.

Examination requirements

Approved mandatory hand-ins. See Canvas for more information.

Examinations

5-hours written exam under supervision. Graded assessment.

Student evaluation

The faculty member in charge of the module confers with the student rep which form of evaluation will be organized, and whether midterm or post hoc. Cfr the University regulations on quality assurance, chapter 4.1.

Offered as a free-standing course

Subject to capacity constraints

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-216 – Calculus 2. 10
Last updated from FS (Felles studentsystem) Oct. 15, 2026 2:57:30 PM