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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. |
Origin | 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.
Applicability
The module can be attended at FB12 in study program(s)
- B.Sc. Data Science
- B.Sc. Mathematics
- B.Sc. Business Mathematics
- BA Minor 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 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:
- Winter 2016/17 (no corresponding element)
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24
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.