Algebraic Combinatorics - Interactive curriculae of TU Ilmenau
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| module properties Algebraic Combinatorics in degree program Bachelor Informatik 2013 | |
|---|---|
| module number | 200437 |
| examination number | 2400789 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2417 (Combinatorics / Graph Theory) |
| module leader | Prof. Dr. Yury Person |
| term | summer term only |
| language | Deutsch |
| credit points | 10 |
| on-campus program (h) | 67 |
| self-study (h) | 233 |
| obligation | elective module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
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| signup details for alternative examinations | |
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| previous knowledge and experience | Lineare Algebra 1 und 2, Analysis 1 und 2 |
| learning outcome | Die Studierenden haben vertiefte Kenntnisse in den Anwendungen der algebraischen Methoden in Diskreter Mathematik. Nach den Übungen sind die Studierenden befähigt, Aussagen der Diskreten Mathematik mit algebraischen Methoden zu analysieren und zu beweisen. |
| content | Methoden der Linearen Algebra, abzählende Kombinatorik, erzeugende Funktionen, symmetrische Funktionen, Polynommethode, algebraische Graphentheorie, Expandergraphen |
| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Aufgaben |
| literature / references | M. Aigner: A Course in Enumeration; Springer, 2007 C. Godsil, G. Royle: Algebraic graph theory; Springer, 2001. L. Guth: Polynomial methods in combinatorics; University Lecture Series 64 AMS, 2016 J. H van Lint, R. M Wilson: A Course in Combinatorics, Cambridge University Press, 2nd edition 2001. R. P. Stanley: Enumerative Combinatorics, Volume 1, Cambridge University Press, 2nd edition 2011.
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