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This entry is from Summer semester 2018 and might be obsolete. You can find a current equivalent here.

Analysis II
(dt. Analysis II)

Level, degree of commitment Basic module, required module
Forms of teaching and learning,
workload		 Lecture (4 SWS), recitation class (2 SWS),
270 hours (90 h attendance, 150 h preparation and follow-up inklusive Studienleistungen, 30 h Vorbereitung and Ablegen von Prüfungsleistungen)
Credit points,
formal requirements		 9 CP
Course requirement(s): Oral examination on Analysis I and II (20-30 min.)
Examination type: 1) Successful completion of at least 50% of the weekly exercises as well as at least 1-3 presentations of the tasks. 2) Written test (90-120 min.) These course requirements are prerequisites for admission to the module examination.
Language,
Grading		 German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program LAaG Mathematics. In the event of failure, a total of 4 attempts are available for the examination.
Duration,
frequency		 One semester,
each winter semester
Person in charge of the module's outline Prof. Dr. Ilka Agricola, Prof. Dr. Thomas Bauer, Prof. Dr. Pablo Ramacher

Contents

  • metric spaces, compactness, connectivity
  • Sequences and series
  • Continuity and differentiability in several variables
  • integration
  • Ordinary differential equations

Qualification Goals

Competencies:

Students will

  • understand the basic principles of the analysis of one and more variables and can use them for the analytical treatment of geometrically, scientifically or technically motivated problems,
  • master the basic concepts and techniques of calculus and are confident in actively dealing with the objects of the module; they justify central theorems of calculus,
  • 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,
  • are able to classify concepts of calculus, to assess their mathematical viability and their possible use in the classroom,
  • are familiar with examples of historical developments in calculus.

Qualification goals:

Students will know and understand the basic concepts and methods of calculus of several variables, will be able to apply them and establish references to high school calculus classes.


Prerequisites

Translation is missing. Here is the German original:

Analysis I (spätestens bei der Anmeldung zur Modulprüfung).


Applicability

The module can be attended at FB12 in study program(s)

  • LAaG Mathematics

When studying LAaG Mathematics, this module must be completed in the study area Basic Modules.


Recommended Reading

(not specified)



Please note:

This page describes a module according to the latest valid module guide in Summer semester 2018. 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.