autumn 2021
MAT-3802 Discrete Mathematics with Game- and Graph Theory - 5 ECTS

Last changed 26.11.2021

Application deadline

Applicants from countries within EU/EEA: June 1st for the autumn semester and December 1st for the spring semester.

Exchange students and Fulbright students: 1 October for the spring semester and 15 April for the autumn semester.

Type of course

Theoretical. The course can be taken as a single course.

Admission requirements

A relevant undergraduate Bachelor Engineering program with minimum 25 credits mathematics, 5 credits statistics, 7,5 credits physics

Application code: 9371

Course overlap

SMN6192 Discrete Mathematics 5 stp
SMN6192 Game- and Graph Theory / Discrete Mathematics 5 stp

Course content

  • Combinatorics including combinations
  • Properties of integers and number theory
  • Types of proofs
  • Relations and functions, equivalence relations
  • Finite state machines and minimization of these
  • Recurrence relations with unarranged problems
  • Graph theory
  • Examples of applications in gaming  

Recommended prerequisites

IGR1518 Mathematics 1 (3-semester), IGR1600 Mathematics 1, IGR1601 Mathematics 2, IGR1613 Mathematics 3 / Physics 2, TEK-1507 Mathematics 1, TEK-1510 Mathematics 1 (3-semester), TEK-1516 Mathematics 2, TEK-2800 Mathematics 3, TEK-2801 Physics 2

Objectives of the course

Knowledge (K):

After completing the linear algebra course the candidate:

  • Has advanced knowledge of concepts within discrete mathematics.
  • Has thorough knowledge of central arguments, combinatorial counting methods and methodologies within the listed concepts in discrete mathematics and know how to apply these in mathematical problems.
  • Can analyse formulated discrete problems and identify methods to solve these.

Skills (S):

After completing the linear algebra course the candidate:

  • Can recognize and identify discrete problems, make use of a variety of counting methods, elementary number theory, finite state machines, recurrence relations and graphs and trees in order to solve problems.
  • Can analyse and deal critically with theories and arguments within the field and use these to structure and formulate scholarly arguments.
  • Can identify arguments that can be utilized to solve practical problems like unarranged recurrence relations and game related tasks.

General competence (GC):

After completing the linear algebra course the candidate:

  • Can analyse relevant discrete mathematics problems.
  • Can apply the knowledge and skills within discrete mathematics to complete assignments.
  • Can communicate about different aspects in discrete mathematics, particularly explaining in mathematical terms how to deal with counting problems.
  • Can use the knowledge for concepts, theories and methods in discrete mathematics in relevant engineering areas.

Language of instruction


Teaching methods

The course is taught intensively during two non-consecutive weeks, in which a combination of lectures followed by task solving sessions and project work.

All lectures are streamed and recorded. Videos provided in addition to this are made available to all students attending the course.


Course work requirements:

One individual project work in Graph Theory must be submitted and approved in a 3-steps process.

Examination and assessment:

A written school exam, 3 hours.

Scale of grades: A-F in which F means ‘fail’

A re-sit exam will be arranged for this course


  • About the course
  • Campus: Narvik |
  • ECTS: 5
  • Course code: MAT-3802