mat960 - Mathematics of Computer Science (Analysis) (Complete module description)

mat960 - Mathematics of Computer Science (Analysis) (Complete module description)

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Module label Mathematics of Computer Science (Analysis)
Module code mat960
Credit points 6.0 KP
Workload 180 h
Institute directory Department of Mathematics
Applicability of the module
  • Bachelor's Programme Business Informatics (Bachelor) > Aufbaucurriculum-Wahlbereich Mathematik
  • Bachelor's Programme Computing Science (Bachelor) > Aufbaumodule
Responsible persons
  • Chernov, Alexey (module responsibility)
  • Grieser, Daniel (module responsibility)
  • Pankrashkin, Konstantin (module responsibility)
  • Schöpfer, Frank (module responsibility)
  • Shestakov, Ivan (module responsibility)
  • Uecker, Hannes (module responsibility)
  • Vertman, Boris (module responsibility)
Prerequisites
Skills to be acquired in this module
The students learn and apply basic notions and techniques of mathematical analysis.

Professional competence
The students:
· use rigorous mathematical proofs
· compute limit values and analyse the convergence behaviour of iterative methods
· apply differential and integral calculus to compute extreme values, to analyse the behaviour of functions and to develop numerical solution methods

Methodological competence
The students:
· analyse formal relations
· structure and justify solution methods

Social competence
The students:
· develop solutions to given problems in groups
· accept constructive criticism

Personal competence
The students:
· reflect their solution strategies
· deepen their understanding of the presented mathematical concepts with exercises and adopt the solution methods
Module contents
· Convergence of sequences, series and iterative methods
· Continuity, differential and integral calculus of functions of one variable
· Characterization and computation of extreme values
· Separable and linear ordinary differential equations
Recommended reading
Peter Hartmann: Mathematik für Informatiker - ein praxisbezogenes Lehrbuch
Dirk Hachenberger: Mathematik für Informatiker
Otto Forster: Analysis I
Harro Heuser: Lehrbuch der Analysis, Teil 1
Konrad Königsberger: Analysis
Links
Language of instruction German
Duration (semesters) 1 Semester
Module frequency every year
Module capacity unlimited
Type of course Comment SWS Frequency Workload of compulsory attendance
Lecture 3 SuSe 42
Exercises 1 SuSe 14
Total module attendance time 56 h
Examination Prüfungszeiten Type of examination
Final exam of module
At the end of the lecture period written exam
Final exam of module