Postgraduate course

Category Theory

  • ECTS credits10
  • Teaching semesterSpring
  • Course codeINF223
  • Number of semesters1
  • LanguageEnglish
  • Resources

Level of Study




Teaching semester


Objectives and Content

Category Theory is a mathematical language and a toolbox that can be used for formalising concepts that arise in our day-to-day activity. It is highly adequate for computer science because the instruments that it provides are sophisticated and make it easier to model and to reason about situations that are complex and involve structured objects. Category Theory focuses especially on the relations between the objects of interest and on different construction principles for objects.

Learning Outcomes

After the successful accomplishment of the course INF223 the students shall

  • be familiar with basic categorical concepts, results, and constructions including category, functor, natural transformation, functor category, slice category, pullback, pushout
  • be able to explain those concepts, results, and constructions by examples from informatics
  • be acquainted with categorical reasoning and shall be able to prove basic theorems
  • have basic capabilities to use category theory to structure and to
  • formalize typical complex situations in informatics involving structured subjects under study
  • be able to acquire necessary continuative subjects from the literature

Required Previous Knowledge

At least 60 ECTS in computer science, preferably including some mathematics

Recommended Previous Knowledge

INF121 Programming paradigms / INF122 Functional programming

Access to the Course

Access to the course requires admission to a programme of study at The Faculty of Mathematics and Natural Sciences.

Teaching and learning methods

Up to 6 hours each week in 13 weeks with lectures and organised laboratory assignments. In addition individual and team exercises and self studies, for a total of 270 study hours.

Compulsory Assignments and Attendance


Compulsory assignments are valid two semesters, the semester of the approval and the following semester.

Forms of Assessment

Written exam. It is opportunity for grades on exercises, which can be included in the final grade. If less than 20 students are taking the course, it can be oral exam.

No aids allowed.

Examination Support Material


Grading Scale

The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.

Assessment Semester

Examination both spring semester and autumn semester. In semesters without teaching the examination will be arranged at the beginning of the semester.

Reading List

The reading list will be available within June 1st for the autumn semester and December 1st for the spring semester.

Course Evaluation

The course will be evaluated by the students in accordance with the quality assurance system at UiB and the department.

Programme Committee

The Programme Committee is responsible for the content, structure and quality of the study programme and courses.

Course Coordinator

Course coordinator and administrative contact person can be found on Mitt UiB, or contact mailto:studieveileder@ii.uib.no Student adviser

Course Administrator

The Faculty of Mathematics and Natural Sciences represented by the Department of Informatics is the course administrator for the course and study programme.


Contact Information


Exam information

  • For written exams, please note that the start time may change from 09:00 to 15:00 or vice versa until 14 days prior to the exam. The exam location will be published 14 days prior to the exam.

  • Type of assessment: Written examination

    Withdrawal deadline