Module MA4670-KP05
Combinatorics (KombiKP05)
Duration
1 Semester
Turnus of offer
irregularly
Credit points
5
Course of studies, specific fields and terms:
- Master CLS 2023, optional subject, mathematics
- Bachelor CLS 2023, optional subject, mathematics
- Minor in Teaching Mathematics, Master of Education 2023, optional subject, mathematics
- Minor in Teaching Mathematics, Master of Education 2017, optional subject, mathematics
- Master CLS 2016, optional subject, mathematics
- Bachelor CLS 2016, optional subject, mathematics
Classes and lectures:
- combinatorics (exercise, 1 SWS)
- combinatorics (lecture, 2 SWS)
Workload:
- 45 hours in-classroom work
- 85 hours private studies
- 20 hours exam preparation
Contents of teaching:
- Permutations, combinations, variations
- Partitions
- Generating functions
- Recurrence equations
- Sums and differences
- Inclusion - exclusion
Qualification-goals/Competencies:
- Learning the basics of combinatorics
- Knowledge of different proof techniques and combinatorial approaches
- Teaching fundamental results and deepening some selected aspects of combinatorics
- Ability to learn independently by studying relevant literature
Grading through:
- Oral examination
Responsible for this module:
Literature:
- Peter Tittmann : Einführung in die Kombinatorik Spektrum Akademischer Verlag 2000
- Richard A. Brualdi : Introductory Combinatorics Pearson Prentice Hall 2004
Language:
- offered only in German
Notes:
Admission requirements for taking the module:- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments as specified at the beginning of the semester
Module exam(s):
- MA4670-L1: Combinatorics, oral exam, 30 min, 100 % of module grade
Last Updated:
22.02.2022