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Foundations of Mathematics
(dt. Grundlagen der Mathematik)

Level, degree of commitment Basic module, depends on importing study program
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.
Subject, Origin Mathematics, 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

Students

  • Have learned the basics of mathematical thinking and reasoning,
  • have acquired basic mathematical knowledge, which is the basis for the entire course of study,
  • use mathematical working methods on concrete problems, they can distinguish between mathematical intuition and formal precision and use and relate both components to each other.

Prerequisites

None.


Recommended Reading

(not specified)



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.