Main content

This entry is from Winter semester 2019/20 and might be obsolete. You can find a current equivalent here.

CS 460L — Theoretical Computer Science for Pre-Service-Teachers
(dt. Theoretische Informatik für Lehramt an Gymnasien-Studierende)

Level, degree of commitment Advanced module, required module
Forms of teaching and learning,
workload
Lecture (4 SWS), recitation classen and seminar (2 SWS),
270 hours (attendance in den Lehrveranstaltungen 90 h, preparation and follow-up inklusive Studienleistungen 150 h, Vorbereitung and Ablegen von Prüfungsleistungen 30 h)
Credit points,
formal requirements
9 CP
Course requirement(s): 1) Exercises and at least 1-3 presentations of individual exercises 2) Presentation, approx. 30 min. in the seminar on school-related topics of the lecture with regard to the implementation in the upper secondary school. The successful completion of at least 40% of the exercises is a prerequisite for admission to the module examination.
Examination type: Written examination (120 min.)
Language,
Grading
German,
The grading is done with 0 to 15 points according to the examination regulations for the degree program LAaG Computer Science. 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. Christian Komusiewicz

Contents

  • Automata theory and formal languages: grammars and the Chomsky hierarchy, finite automata and regular expressions, context-free grammars and push-down automata, closure properties of formal languages, decidability questions
  • Computability: models of computability: Turing, Loop and While-computability, primitive recursion and μ-recursion, Church-Turing thesis; decidability, enumerability, undecidable problems
  • Complexity theory: complexity measures; P and NP; reductions and NP-complete problems

Qualification Goals

Competences:

  • Scientific working methods (recognition, formulation, problem solving, abstraction),
  • Verbal communication skills, free speech in front of an audience and during a discussion,
  • Didactic preparation of teaching material.

Qualification goals:

Basic knowledge in core areas of theoretical computer science, in detail:

  • Dealing with regular expressions, finite automatons and grammars. Recognizing the possibilities and limitations,
  • Understanding formal models of calculation,
  • Principal limits of algorithmic computing,
  • Limits of efficient problem solving,
  • Classification of the concepts and assessment of the possible use in school teaching.

Prerequisites

None. The competences taught in the following modules are recommended: Basic Linear Algebra or Basic Real Analysis.


Applicability

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

  • LAaG Computer Science

When studying LAaG Computer Science, this module must be completed in the study area Advanced Modules.


Recommended Reading

(not specified)



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2019/20. 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.