Main content

This entry is from Summer semester 2021 and might be obsolete. You can find a current equivalent here.

Foundations of Mathematics
(dt. Grundlagen der Mathematik)

Level, degree of commitment Basic module, required module
Forms of teaching and learning,
workload		 Lecture (2 SWS), central recitation class (2 SWS),
180 hours (60 h attendance, 120 h private study)
Credit points,
formal requirements		 6 CP
Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written 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,
each semester
Person in charge of the module's outline All lecturers of Mathematics

Contents

  • Elementary set theory
  • Natural numbers and integers, mathematical induction, rational numbers
  • Maps, functions, relations
  • Elementary logic and introduction to mathematical proving
  • The fields of real and complex numbers
  • Equivalence transformations of equations and inequations
  • Supremum and infimum

Qualification Goals

The students

  • learn the basics of mathematical thinking and argumentation,
  • acquire basic mathematical knowledge, which lays the ground for the degree program,
  • apply mathematical working to concrete questions, they can distinguish between mathematical intuition and formal precision and use and relate both components to each other.

Prerequisites

None.


Applicability

The module can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • B.Sc. Business Mathematics

When studying B.Sc. Mathematics, this module must be completed in the study area Basic Modules in Mathematics.

The module can also be used in other study programs (export module).


Recommended Reading

(not specified)



Please note:

This page describes a module according to the latest valid module guide in Summer semester 2021. 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.