Laajuus: 5

Aikataulu: 07.01.2019 - 12.04.2019

Opetusperiodi (voimassa 01.08.2018-31.07.2020): 

III – IV 2018-2019 (Spring)
V 2019-2020 (Spring)

Osaamistavoitteet (voimassa 01.08.2018-31.07.2020): 

At this course you will learn the basics of combinatorial mathematics, such as the art of counting. You will obtain a basic understanding of various types of combinatorial objects and their relationships. Upon completing the course you are able to apply basic combinatorial analysis and proof techniques.

Sisältö (voimassa 01.08.2018-31.07.2020): 

An introduction to combinatorics. Basic combinatorial objects (e.g. graphs, set systems, posets, permutations, set and integer partitions, designs, codes), their properties and relationships. Existence and enumeration. Extremal, probabilistic, and algebraic techniques.

Toteutus, työmuodot ja arvosteluperusteet (voimassa 01.08.2018-31.07.2020): 

Exam and weekly exercises.

Työmäärä toteutustavoittain (voimassa 01.08.2018-31.07.2020): 

Lectures. Exercise sessions. Independent work.

Oppimateriaali (voimassa 01.08.2018-31.07.2020): 

Lecture notes and selected book chapters.  

Esitiedot (voimassa 01.08.2018-31.07.2020): 

First- and second-year BSc-level mathematics, including an introduction to discrete mathematics (e.g. MS-A040x) and basic probability (e.g. MS-A050x)

Arvosteluasteikko (voimassa 01.08.2018-31.07.2020): 

0-5

Opintojakson kuvaus

Ilmoittautuminen ja lisätiedot