Number Theory - 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Please note that this page is no longer updated.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 5818 - common information | |
|---|---|
| module number | 5818 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2418 (Fundamentals of Mathematics) |
| module leader | Prof. Dr. Jochen Harant |
| language | Deutsch |
| term | Sommersemester |
| previous knowledge and experience | Grundlagenmathematik, Grundlagen der Zahlentheorie |
| learning outcome | grundlegende Eigenschaften der Menge der natürlichen bzw. ganzen Zahlen, historische Aspekte der Entwicklung der Mathematik, topaktuelle Anwendungsmöglichkeiten der Zahlentheorie (Verschlüsselungstechniken, RSA) |
| content | Teilbarkeit, Eigenschaften von Primzahlen, Bertrandsches Postulat, Eulersche Phifunktion, summatorische und dilatorische Funktion, Möbiussche Umkehrformel, Rekursive Folgen, quadratische Reste, Gaußsches Reziprozitätsgesetz, Primzahlfunktion, Ergebnisse von Tschebyschev, Primzahlsatz |
| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Folien |
| literature / references | P. Bundschuh, Einführung in die Zahlentheorie, Springer 2002 H. Hasse, Vorlesungen über Zahlentheorie, Springer 1964 H. Koch, Zahlentheorie, Vieweg 1997 |
| evaluation of teaching | |
| Details reference subject | |
|---|---|
| module name | Number Theory |
| examination number | 2400086 |
| credit points | 5 |
| SWS | 3 |
| on-campus program (h) | 33.75 |
| self-study (h) | 116.25 |
| obligation | obligatory module |
| exam | oral pass-fail certificate |
| details of the certificate | werden bei Bedarf festgelegt |
| link to Moodle course | |
| teacher | |
| signup details for alternative examinations | |
| maximum number of participants | |
| Details in degree program Master Mathematik und Wirtschaftsmathematik 2013 (WM), Master Mathematik und Wirtschaftsmathematik 2013 (AM) | |
|---|---|
| module name | Number Theory |
| examination number | 2400201 |
| credit points | 4 |
| on-campus program (h) | 34 |
| self-study (h) | 86 |
| obligation | elective module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | werden bei Bedarf festgelegt |
| link to Moodle course | |
| signup details for alternative examinations | |
| maximum number of participants | |