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This entry is from Winter semester 2018/19 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 (attendance in den Lehrveranstaltungen 90 h, 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

Competences:

The students

  • understand the basic principles of calculus in one variable and can use them for the treatment of geometric, scientific or technical problems,
  • have mastered the basic concepts and techniques of calculus in one variable and are confident in actively dealing with the subjects of the course; they master the main theorems,
  • use mathematical working methods on concrete questions, they can distinguish between mathematical intuition and formal precision and use and relate both components to each other,
  • can judge concepts of calculus, assess their mathematical range and their use in high school teaching,
  • know some historical developments in analysis.

Qualification goals:

The students know and understand the basic concepts and methods of calculus in one variable, they can apply them and establish references to their use in high school.


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 2018/19. 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.