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This entry is from Winter semester 2021/22 and might be obsolete. You can find a current equivalent here.
CS 380 — Basics of Advanced Mathematics
(dt. Grundlagen der Höheren Mathematik)
Level, degree of commitment | Advanced module, required 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 |
Language, Grading |
German,The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Data Science. |
Duration, frequency |
One semester, each winter semester |
Person in charge of the module's outline | Prof. Dr. Ilka Agricola |
Contents
- Deepening of linear algebra: Jordan normal form, diagonalization of matrices, principal axes theorem, quadrics
- Multidimensional differential calculus: directional derivation, partial and total derivation, gradient, Hesse's form, extremes with and without constraints
- Multidimensional integral calculus: Volume, multiple integrals, main theorem of integral calculus
Qualification Goals
The students shall
- learn analytical and algebraic methods to solve problems of higher mathematics, especially numerics and optimization,
- practice the handling of functions in several variables (differential and integral calculus in several variables),
- improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.
Prerequisites
None. The competences taught in the following modules are recommended: Basic Linear Algebra, Basic Real Analysis.
Applicability
The module can be attended at FB12 in study program(s)
- B.Sc. Data Science
- M.Sc. Business Informatics
When studying B.Sc. Data Science, this module must be completed in the study area Advanced Modules in Mathematics.
The module can also be used in other study programs (export module).
Recommended Reading
- K. Meyberg, P. Vachenauer, Höhere Mathematik, Band 1 und 2, Springer-Verlag.
- G. Teschl, S. Teschl: Mathematik für Informatiker, Band 1 und 2, Springer-Verlag.
Please note:
This page describes a module according to the latest valid module guide in Winter semester 2021/22. 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
- 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.