Analysis 1 - Interactive curriculae of TU Ilmenau
The interactive curriculae 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 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Please note that this page is no longer updated.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 Analysis 1 in degree program Bachelor Technische Kybernetik und Systemtheorie 2013 | |
|---|---|
| module number | 769 |
| examination number | 2400315 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2416 (Analysis and Dynamical Systems) |
| module leader | Prof. Dr. Timo Reis |
| term | winter term only |
| language | Deutsch |
| credit points | 8 |
| on-campus program (h) | 67 |
| self-study (h) | 173 |
| obligation | obligatory module |
| exam | written pass-fail certificate |
| details of the certificate | |
| link to Moodle course | |
| teacher | |
| signup details for alternative examinations | |
| maximum number of participants | |
| previous knowledge and experience | Abitur |
| learning outcome | Fach- und Methodenkompetenz, Beherrschung der gelehrten grundlegenden Methoden der höheren Analysis insbesondere des Umgangs mit Grenzprozessen in diversen Räumen und Anwendung auf konkrete Probleme der Analysis auch in anderen Fächern, Umgang mit dem abstrakten Modell des metrischen Raumes einschließlich seiner Anwendung in konkreten Situationen, z.B. in der Numerik und in der Optimierung. |
| content | Zahlen, Metrische Räume, Folgen und Reihen, Abbildungen, Stetige Funktionen, Grenzwerte, Banachscher Fixpunktsatz |
| media of instruction and technical requirements for education and examination in case of online participation | Folien, Zusammenfassungen |
| literature / references | Amann, H.; J. Escher: Analysis Bd. I - III. Birkhäuser Verlag Basel 2001. Heuser, H.: Lehrbuch der Analysis. Bd. I - II. Teubner Stuttgart 1980. |
| evaluation of teaching | |