Before choosing courseIX1500 Discrete Mathematics 7.5 creditsAdministrate About course

### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

* Retrieved from Course syllabus IX1500 (Autumn 2020–)

## 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.

### Course Disposition

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## Literature and preparations

### Specific prerequisites

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### Recommended prerequisites

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### Equipment

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### Literature

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## Examination and completion

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

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

### Examination

• INL1 - Problem Assignments, 4,0 hp, betygsskala: A, B, C, D, E, FX, F
• TEN1 - Examination, 3,5 hp, betygsskala: 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.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### 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 web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web IX1500

### Offered by

EECS/Computer Science

### Main field of study

Mathematics, Technology

First cycle