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Large Advanced Module Analysis/Topology
(dt. Großes Aufbaumodul Analysis/Topologie)

Level, degree of commitment Advanced module, compulsory elective module
Forms of teaching and learning,
workload
Lecture (4 SWS), recitation class (2 SWS),
270 hours (90 h attendance, 180 h private study)
Credit points,
formal requirements
9 CP
Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination (individual examination)
Language,
Grading
German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Mathematics.
Duration,
frequency
One semester,
Regularly alternating with other advanced modules
Person in charge of the module's outline All lecturers of Mathematics

Contents

Based on the basic modules Linear Algebra and Analysis, topics from one or more of the following areas are covered:

  • analysis
  • topology

Qualification Goals

Students will have

  • Acquired basic knowledge and skills in calculus and/or topology,
  • learned about the development of a mathematical theory in the respective field and experienced its applicability,
  • practiced mathematical ways of working (developing mathematical intuition and its formal justification, training the ability to abstract, reasoning),
  • improved their oral communication skills by practicing free speech in front of an audience and during discussions.

Prerequisites

None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis.


Applicability

Module imported from B.Sc. Mathematics.

It can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • M.Sc. Computer Science
  • M.Sc. Mathematics
  • BA Minor Mathematics

When studying M.Sc. Mathematics, this module can be attended in the study area Compulsory Elective Modules in Mathematics.

The module is assigned to Pure Mathematics. Further information on eligibility can be found in the description of the study area.


Recommended Reading

  • Depending on topic



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.