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This entry is from Winter semester 2016/17 and might be obsolete. You can find a current equivalent here.

Analysis I
(dt. Analysis I)

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): Written examination (90-120 min.)
Examination type: Successful completion of at least 50% of the weekly exercises as well as at least 1-3 presentations of the tasks.
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 summer semester
Person in charge of the module's outline Prof. Dr. Ilka Agricola, Prof. Dr. Thomas Bauer, Prof. Dr. Pablo Ramacher

Contents

  • Sequences and series of real and complex numbers
  • Continuity and differentiability of functions of one variable
  • Function sequences and series
  • Integration of functions of one variable

Qualification Goals

Students will

  • understand the basic principles of calculus of a variable and can apply them to the analytical treatment of geometrically, scientifically or technically motivated problems,
  • master the basic concepts and techniques of calculus, in particular approximations and limit transitions,
  • 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,
  • recognize the close connections between different mathematical areas on the basis of linear structures within calculus in an examplary way,
  • improve their oral communication skills in the exercises by practicing free speech in front of an audience and by actively participating in the discussion.

Prerequisites

None


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 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.