This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of SS 2020
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|WS 2020/1||SS 2020||SS 2015||WS 2014/5|
MA1002 is a semester module in German language at Bachelor’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Further Modules from Other Disciplines
|Total workload||Contact hours||Credits (ECTS)|
|300 h||105 h||10 CP|
Content, Learning Outcome and Preconditions
Explicit solutions of simple ordinary differential equations.
Analysis in Rn (differentiation of vector fields and Taylor expansion).
Norms and completeness. Equivalence of norms in Rn.
Open, closed and compact sets in Rn, Bolzano Weierstrass theorem
Banach fixed point theorem for closed subsets of complete normed spaces.
Maximization and minimization problems, Lagrange multipliers.
Explicit evaluation of elementary multiple integrals.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||5||Analysis 2 [MA0002]||Kruse, H. Zimmer, J.||
Mon, 10:15–11:45, virtuell
Tue, 10:15–11:45, virtuell
Fri, 08:30–09:15, virtuell
|UE||1||Analysis 2 (Questtion Time) [MA0002]||Zimmer, J.||
Fri, 09:15–10:00, virtuell
|UE||2||Analysis 2 (Exercise Session) [MA0002]||Kruse, H. Zimmer, J.||dates in groups|
|UE||2||Analysis 2 (Central Exercise Session) [MA0002]||Kruse, H. Zimmer, J.||
Wed, 11:30–13:00, virtuell
Learning and Teaching Methods
W. Rudin, Principles of Mathematical Analysis, 2nd ed, McGraw Hill, 1964.
Description of exams and course work
The exam may be repeated at the end of the semester.
Current exam dates
Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.
|Tue, 2021-08-03, 14:15 till 16:15||Einmalige Übungsleistung||till 2021-06-30 (cancelation of registration till 2021-07-27)|
|Thu, 2021-10-07, 11:30 till 13:30||Beachten Sie die Informationen zur Prüfungsteilnahme während der COVID-19-Pandemie unter https://www.tum.de/die-tum/aktuelles/coronavirus/corona-lehre-pruefungen/. // See https://www.tum.de/en/about-tum/news/coronavirus/coronavirus-exams/ for further information on exams during the COVID-19 pandemic.||till 2021-09-27 (cancelation of registration till 2021-09-30)|