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Mathematics for Physicists 2 (Analysis 1)

Module MA9202

This Module is offered by Department of Mathematics.

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 2011/2

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 2012WS 2011/2

Basic Information

MA9202 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.

  • Fundamentals Examination (GOP, Part 1) in the B.Sc. Physics
Total workloadContact hoursCredits (ECTS)
240 h 90 h 8 CP

Content, Learning Outcome and Preconditions

Content

Real and complex numbers, convergence of sequences and series, continuity, differentiability and integration of functions of one variable, power series, Taylor series, elementary differential equations

Learning Outcome

After successfully attending this course, students are familiar with basic concepts of analysis and know how to apply them in simple situations. They also know techniques of the calculus of functions of one variable.

Preconditions

Mathematical knowledge within the scope of the general qualification for university entrance

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

lecture, exercise module, assignments
The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should motivate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress. At the beginning of the module, the practice sessions will be offered under guidance, but during the term the sessions will become more independent, and intensify learning individually as well as in small groups.

Media

lecture notes

Literature

O. Forster, Analysis 1, Vieweg 2004.
K. Königsberger, Analysis 1, Springer-Verlag 2003.

Module Exam

Description of exams and course work

The module examination is based on a written exam (90 minutes). Students have to apply basic concepts and methods of analysis to application problems in limited time. They are familiar with the central term of approximation.

General Remarks on Exams within Fundamentals Examination (GOP, Part 1) in the B.Sc. Physics

The written exams in the mandatory modules of the first year in the Bachelor’s program Physics are subject to the rules of the Fundamentals Examination (GOP). Each non-passed exam may only be repeated once. If after the repeat exams of one semester the student failed in one and only one of the three exams a rescue exam is granted where the grade may be corrected to 4,0.

By act of the examination regulations (FPSO) students in the Bachelor’s program Physics are registered to the module exams. To support exam organisation egular registration via TUMonline is done anyway. For students that do not show up at the exam the exam is counted as failed.

Exam Repetition

The exam may be repeated at the end of the semester.

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