Table of contents

The course is connected to the following study programs

Teaching language

Norwegian

Prerequisites

Completed 60 ECTS credits in mathematics for grade 5-10

Learning outcomes

The student

  • can use the language of algebra to describe situations and to solve practical problems
  • can expand and factor quadratic expressions in different contexts and, especially, solve the quadratic equation by completing the square
  • can explain and use general principles for solving equations and inequalities, and can solve different types of equations as rational, logarithmic and exponential
  • can solve linear, and some non-linear, systems of equations with several unknown, and can solve optimization problems using linear programming (two variables)
  • have knowlegde about multiplication and division of polynomials
  • have knowledge about number sequences and series
  • can use the summation sign to represent series, and can use finite series in practical situations
  • can explain, justify and prove theorems in algebra and number theory, and is able to use different types of proofs
  • have knowledge about prime numbers, prime factorization and the distribution of primes
  • have knowledge about division with a remainder and divisibility
  • can solve linear Diophantine equations

Contents

Elementary algebra. Mathematical proofs. Number sequences. Arithmetic and geometric series. Elementary topics in number theory.

Teaching and learning methods

The course has a flexible part related to work at your own workplace and follow-up digitally. The course includes digital learning resources in Canvas, such as a compendium, teaching videos, practice exercises, etc. There is no physical or digital teaching, but voluntary digital question hours are organized each week to support the learning process.The course has an expected scope of work of 267 hours.

Examination requirements

Approved required assignments. (see Canvas for more information)

Examinations

6-hour written eksamination. 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.

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-443 – Algebra and Number Theory . 10
MA-940 – Algebra and Number Theory . 10
Last updated from FS (Felles studentsystem) Oct. 15, 2026 2:31:43 PM