IX1500 Discrete Mathematics 7.5 credits
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:
- Combinatorics and set theory
- integers
- relations and rings
- graph theory
The teaching consists of lectures, exercises and projects with presentation.
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Application
For course offering
Autumn 2024 Start 26 Aug 2024 programme students
Application code
50140
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 IX1303.
- Knowledge and skills in problem-solving in mathematics, 7,5 credits, corresponding to completed course IX1307.
Active participation in a course offering where the final examination is not yet reported in Ladok is considered equivalent to completion of the course.
Registering for a course is counted as active participation.
The term 'final examination' encompasses both the regular examination and the first re-examination.
Recommended prerequisites
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- INL1 - Problem Assignments, 4.0 credits, grading scale: A, B, C, D, E, FX, F
- TEN1 - 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.
The examination is written.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
Examiner
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
Offered by
Main field of study
Education cycle
Add-on studies
Supplementary information
In this course, the EECS code of honor applies, see: http://www.kth.se/en/eecs/utbildning/hederskodex.