312.254 (18W) Combinatorics
Überblick
- Lehrende/r
- LV-Titel englisch Combinatorics
- LV-Art Vorlesung
- Semesterstunde/n 2.0
- ECTS-Anrechnungspunkte 4.0
- Anmeldungen 7
- Organisationseinheit
- Unterrichtssprache Englisch
- LV-Beginn 02.10.2018
- eLearning zum Moodle-Kurs
Zeit und Ort
LV-Beschreibung
Intendierte Lernergebnisse
After completion of this course, students are able to define important notions in combinatorics and to present important results; they are able to give and explain their proofs and to select, apply and adapt these results for applications within mathematics and related areas. They have an idea how algebraic methods can be used in combinatorics.
Lehrmethodik inkl. Einsatz von eLearning-Tools
Lecture.
Inhalt/e
A journey through various areas of enumerative and non-enumerative combinatorics. Some connections to algebra will also be explored.
- Pólya-Theory
- Sieve methods
- Möbius inversion
- Random Graphs
- Ramsey Theory
Erwartete Vorkenntnisse
basic knowledge in discrete mathematics, combinatorics and algebra; for instance via the courses "Kombinatorische Strukturen" and "Algebraische Strukturen"
Literatur
- Stanley, enumerative combinatorics
- Aigner, combinatorial theory
- Diestel, graph theory
Prüfungsinformationen
Prüfungsmethode/n
Oral exam
Prüfungsinhalt/e
Content of the lecture
Beurteilungskriterien/-maßstäbe
Emphasis is laid on reasonable knowledge of the definitions and facts and thorough understanding of the material of the course including the proofs. In case of partial fulfillment, the grade will be awarded freely depending on the deficiencies shown.
Beurteilungsschema
Note BenotungsschemaPosition im Curriculum
- Doktoratsprogramm Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(SKZ: ---, Version: 16W.1)
-
Fach: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Pflichtfach)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
- 312.254 Combinatorics (2.0h VO / 4.0 ECTS)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
-
Fach: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Pflichtfach)
- Masterstudium Mathematics
(SKZ: 401, Version: 18W.1)
-
Fach: Discrete Mathematics
(Wahlfach)
-
6.4 Combinatorics (
2.0h VO / 4.0 ECTS)
- 312.254 Combinatorics (2.0h VO / 4.0 ECTS)
-
6.4 Combinatorics (
2.0h VO / 4.0 ECTS)
-
Fach: Discrete Mathematics
(Wahlfach)
- Masterstudium Mathematics
(SKZ: 401, Version: 18W.1)
-
Fach: Applied Mathematics
(Wahlfach)
-
Lehrveranstaltungen aus den Vertiefungsfächern (
0.0h XX / 12.0 ECTS)
- 312.254 Combinatorics (2.0h VO / 4.0 ECTS)
-
Lehrveranstaltungen aus den Vertiefungsfächern (
0.0h XX / 12.0 ECTS)
-
Fach: Applied Mathematics
(Wahlfach)
- Masterstudium Technische Mathematik
(SKZ: 401, Version: 13W.1)
-
Fach: Diskrete Mathematik
(Wahlfach)
-
Kombinatorik (
2.0h VO / 4.0 ECTS)
- 312.254 Combinatorics (2.0h VO / 4.0 ECTS)
-
Kombinatorik (
2.0h VO / 4.0 ECTS)
-
Fach: Diskrete Mathematik
(Wahlfach)
- Doktoratsstudium Doktoratsstudium der Technischen Wissenschaften
(SKZ: 786, Version: 12W.4)
-
Fach: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Pflichtfach)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
- 312.254 Combinatorics (2.0h VO / 4.0 ECTS)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
-
Fach: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Pflichtfach)