This entry is from Winter semester 2022/23 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

Module imported from B.Sc. Data Science.

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

• B.Sc. Data Science
• BA Minor Mathematics

When studying BA Minor Mathematics, this module must be completed in the study area Compulsory Modules.

The module is assigned to variant A of the BSc minor program in Mathematics.

• 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.

This page describes a module according to the latest valid module guide in Winter semester 2022/23. 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 (no corresponding element)
• Winter 2018/19 (no corresponding element)
• Winter 2019/20 (no corresponding element)
• Winter 2020/21 (no corresponding element)
• Summer 2021 (no corresponding element)
• Winter 2021/22 (no corresponding element)
• 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.