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IX1500 Discrete Mathematics 7.5 credits

Administer About course

 

The course provides an introduction to discrete mathematics and its applications. The method of teaching is problem-oriented and with computer support. The course is divided into four sub-areas:

  1. Combinatorics and set theory
  2. integers
  3. relations and rings
  4. graph theory

The teaching consists of lectures, exercises and projects with presentation.

Information per course offering

Termin

Information for Autumn 2026 Start 24 Aug 2026 programme students

Course location

KTH Campus

Duration
24 Aug 2026 - 23 Oct 2026
Periods

Autumn 2026: P1 (7.5 hp)

Pace of study

50%

Application code

10784

Form of study

Normal Daytime

Language of instruction

Swedish

Course memo
Course memo is not published
Number of places

Min: 1

Target group
Open to all programmes as long as it can be included in your programme.
Planned modular schedule
[object Object]
Schedule
Schedule is not published
Part of programme
No information inserted

Contact

Examiner
No information inserted
Course coordinator
No information inserted
Teachers
No information inserted

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus IX1500 (Spring 2026–)
Headings with content from the Course syllabus IX1500 (Spring 2026–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Combinatorics, set theory and inclusion and exclusion, integer, divisibility, induction and recursion, functions and relations.

Introduction to groups, rings, bodies and the theorems of Fermat's and Euler's, the Chinese Remainder Theorem

Graph theory: isomorphic trees, walks and searches, Euler graphs, Hamilton graphs, planar graphs, colouring and chromatic number.

Intended learning outcomes

After passing the course, the student should be able to

  • formulate, analyse and solve problems in discrete mathematics that is of importance in the area of information and communication technology
  • apply and develop discrete models by means of a mathematical programming language
  • critically review and comment a given solution to a problem 
  • comment a discrete model and suggest improvements 
  • present solutions to given discrete problems both orally and in writing in a mathematically correct way.

Literature and preparations

Specific prerequisites

  • Knowledge in algebra and geometry, 7.5 credits, corresponding to completed course SF1697/IX1303.
  • Knowledge and skills in problem-solving in mathematics, 7.5 credits, corresponding to completed course SF1695/IX1307.

Literature

You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.

Examination and completion

Grading scale

A, B, C, D, E, FX, F

Examination

  • INL1 - Problem Assignments, 4.0 credits, grading scale: A, B, C, D, E, FX, F
  • TEN1 - Written examination, 3.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

If the course is discontinued, students may request to be examined during the following two academic years.

Examiner

Profile picture Niharika Gauraha

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

EECS/Computer Science

Main field of study

Mathematics, Technology

Education cycle

First cycle

Supplementary information

In this course, the EECS code of honor applies, see: http://www.kth.se/en/eecs/utbildning/hederskodex.