Technische Universität Ilmenau

Discrete Analysis - Modultafeln of TU Ilmenau

The module lists provide information on the degree programmes offered by the TU Ilmenau.

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 electronic university catalogue.

Information and guidance on the maintenance of module descriptions by the module officers are provided at Module maintenance.

Please send information on missing or incorrect module descriptions directly to modulkatalog@tu-ilmenau.de.

module properties module number 200436 - common information
module number200436
departmentDepartment of Mathematics and Natural Sciences
ID of group241D (Large networks and Random Graphs)
module leaderProf. Dr. Yury Person
languageDeutsch
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

Diskrete Fourieranalysis, Ramseytheorie, Littlewood-Offord Problem, Additive Kombinatorik, Regularitätsmethode, Roths Theorem, Geometrie der Zahlen, Freimans Theorem, Sum-Product Phänomen, Container Theorem, Quasizufälligkeit

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.



evaluation of teaching
Details reference subject
module nameDiscrete Analysis
examination number2400788
credit points10
SWS6 (4 V, 2 Ü, 0 P)
on-campus program (h)67.5
self-study (h)232.5
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Bachelor Mathematik 2021
module nameDiscrete Analysis
examination number2400788
credit points10
on-campus program (h)67
self-study (h)233
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants