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 WS 2020/1
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|
|SS 2021||WS 2020/1||SS 2020||SS 2015||WS 2014/5|
MA1001 is a semester module in German language at Bachelor’s level which is offered in winter 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
Real numbers (axiomatic, not derived from Q, field axioms are assumed to be given from the linear algebra course), in particular the notion of supremum and the completeness axiom.
Complex numbers. Notion of limit, convergence of sequences.
Series: Convergence, absolute convergence, quotient criterion.
Analysis of a function of a single variable: Continuity, derivative and integral (calculus and notions), Taylor expansion including those of trigonometric and exponential functions.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||5||Analysis 1||Brokate, M.|
|UE||2||Analysis 1 (Supplementary Material)||Brokate, M. Hofmaier, F.||
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.