The course is connected to the following study programs

  • Bachelor's Programme in Mathematics
  • Advanced Teacher Education level 8-13, 5-year Master's Programme
  • Mathematics, 1-year Programme

Teaching language

Norwegian

Course contents

Functions of one and several variables, inverse functions, limits and continuity, differentiation and integration. Applications.

Learning outcomes

The student is able to

  • explain and apply the concepts function and inverse function as well as basic concepts within differentiation and integration, and to apply fundamental results and the terms involved.

  • apply the properties of the elementary functions

  • explain and use differentiation of functions, in particular elementary functions and to decide whether a function is continuous and differentiable

  • integrate elementary functions by means of the techniques change of variable, integration by parts and simple partial fractions as well as to explain the Riemann integral.

  • use the derivative to find extremal values and sketch graphs as well as to solve problems involving related rates and solve equations numerically

  • calculate using geometric series and to approximate functions using Taylor polynomials

  • find areas and volumes using integration

  • explain and apply partial derivatives of functions of several variables

  • optimize functions of two and more variables with and without constraints

Examination requirements

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

For students in teacher education must also two weeks of practice be approved. Students who are not in teacher education, must get one more compulsory assignement approved than students in teacher education.

Teaching methods

Lectures, work in small groups and compulsory assignemets. Compulsory practice for students at the Advanced Teacher Education. The course has an expected workload of around 400 hours

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 Single Standing Module

Yes

Assessment methods and criteria

6-hour written examination. Graded assessment.

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-168 – Mathematics for Biologist 10
MA-100 – Calculus 1 10
MA-183 – Calculus 1 10
MA-138 – Mathematics Applied in Business Administration A 7.5
MA-115 – Mathematics Applied in Business Administration 7.5
Last updated from FS (Common Student System) June 30, 2024 1:48:00 AM