Discrete Analysis - Interactive curriculae of TU Ilmenau
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Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).
You can find all details on planned lectures and classes in the course catalogue.
Please note that this page is no longer updated. All modules and study plans from PO version 2021 onwards (Bachelor and Master study programs) are now available on the Campus Portal.
| module properties module number 200436 - common information | |
|---|---|
| module number | 200436 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2417 (Combinatorics / Graph Theory) |
| module leader | Prof. Dr. Yury Person |
| language | Deutsch |
| term | Sommersemester |
| previous knowledge and experience | Lineare Algebra I&II, Analysis I&II, Diskrete Stochastik |
| learning outcome | Die Studierenden haben nach der Vorlesung einen guten Überblick über moderne Methoden der Diskreten Analysis. Sie kennen die Verbindungen zu anderen Teilgebieten der Mathematik und die Anwendungen dort. Sie sind nach den Übungen in der Lage, aktuelle Forschungsarbeiten zu lesen und die Ergebnisse zu präsentieren. |
| content | Theorem von Plünnecke, Crossing Lemma, Szemerédi-Trotter Theorem, Sum-Product Phänomen, Dependent random choice, Balog-Szemerédi-Gowers Theorem, Regularitätsmethode, Extremale Graphentheorie, Diskrete Fourieranalysis, Freimans Theorem (verallgemeinerte arithmetische Progressionen, Bohrmengen, Gitter, Bogolyubovs Lemma), quasizufällige Graphen.
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| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Aufgaben |
| literature / references | T. Tao and V.H. Vu: Additive combinatorics, Cambridge Studies in Advanced Mathematics, vol. 105, Cambridge University Press, Cambridge, 2010 Aktuelle Übersichtsartikel und Forschungspublikationen.
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| evaluation of teaching | |
| Details reference subject | |
|---|---|
| module name | Discrete Analysis |
| examination number | 2400788 |
| credit points | 10 |
| SWS | 6 (4 V, 2 Ü, 0 P) |
| on-campus program (h) | 67.5 |
| self-study (h) | 232.5 |
| obligation | obligatory module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
| teacher | Person, Yury |
| signup details for alternative examinations | |
| maximum number of participants | |