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# SF2741 Enumerative Combinatorics 7.5 credits

## About course offering

### For course offering

Autumn 2024 Start 26 Aug 2024 programme students

### Target group

No information inserted

### Periods

P1 (3.7 hp), P2 (3.8 hp)

26 Aug 2024
13 Jan 2025

25%

Normal Daytime

English

KTH Campus

### Number of places

Places are not limited

## Application

### For course offering

Autumn 2024 Start 26 Aug 2024 programme students

50299

## Contact

### For course offering

Autumn 2024 Start 26 Aug 2024 programme students

### Examiner

No information inserted

### Course coordinator

No information inserted

### Teachers

No information inserted
Headings with content from the Course syllabus SF2741 (Autumn 2022–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

Basic methods in enumerative combinatorics. Sieve methods, for example inclusion-exclusion and the method of using determinants to count lattice paths. Various aspects of the theory of partially ordered sets, for example lattice theory, Möbius inversion in posets, P-partitions.

### Intended learning outcomes

After the course the student should be able to

• explain basic concepts. theorems and proofs within the parts of enumerative combinatorics described by the course content,
• read and comprehend mathematical text.

## Literature and preparations

### Specific prerequisites

Completed basic course SF1610 Discrete Mathematics, SF1662 Discrete Mathematics, SF1679 Discrete Mathematics or SF1688 Discrete Mathematics.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

No information inserted

## Examination and completion

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

### Grading scale

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

### Examination

• TEN1 - Examination, 7.5 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.

Homework problems and possibly a written report on a research paper.

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability. The examiner may allow another form of examination for re-examination of individual students.

### Other requirements for final grade

Continuous examination with assignments and presentation of project.

### 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 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.

Mathematics

Second cycle

### Add-on studies

No information inserted