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This entry is from Winter semester 2016/17 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, depends on importing study program
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): Written or oral examination
Examination type: Successful completion of at least 50 percent of the points from the weekly exercises.
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.
Subject, Origin Mathematics, 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's normal form, diagonalizability of matrices, quadrics
  • Multidimensional differential calculus: directional derivative, partial and total derivative, gradient, Hessian form, extrema with and without constraints
  • Ordinary differential equations: Elementary solution methods, systems of linear differential equations, Picard-Lindelöf theorem.

Qualification Goals

Students will be able to

  • learn analytical methods for solving problems in higher mathematics, especially numerics and optimization,
  • practice dealing with functions in several variables,
  • apply and be able to solve differential equations as a tool for modeling various phenomena,
  • improve their oral communication skills in the exercises by practicing free speech in front of an audience and in discussion.

Prerequisites

Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Modulen Grundlagen der linearen Algebra und Grundlagen der Analysis vermittelt werden


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 2016/17. 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.