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

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

 Module label Mathematics of Computer Science (Analysis) Modulkürzel mat960 Credit points 6.0 KP Workload 180 h Institute directory Department of Mathematics Verwendbarkeit des Moduls Bachelor's Programme Business Informatics (Bachelor) > Aufbaucurriculum-Wahlbereich Mathematik Bachelor's Programme Computing Science (Bachelor) > Aufbaumodule Zuständige Personen 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 competenceThe 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 methodsMethodological competenceThe students:· analyse formal relations· structure and justify solution methodsSocial competenceThe students:· develop solutions to given problems in groups· accept constructive criticismPersonal competenceThe 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 Literaturempfehlungen Peter Hartmann: Mathematik für Informatiker - ein praxisbezogenes LehrbuchDirk Hachenberger: Mathematik für InformatikerOtto Forster: Analysis IHarro Heuser: Lehrbuch der Analysis, Teil 1Konrad Königsberger: Analysis Links Language of instruction German Duration (semesters) 1 Semester Module frequency every year Module capacity unlimited Type of module je nach Studiengang Pflicht oder Wahlpflicht Module level AC (Aufbaucurriculum / Composition) Teaching/Learning method Vorlesung + Übung
Form of instruction Comment SWS Frequency Workload of compulsory attendance
Lecture 3 SoSe 42
Exercises 1 SoSe 14
Präsenzzeit Modul insgesamt 56 h
Examination Prüfungszeiten Type of examination
Final exam of module
At the end of the lecture period written exam
Final exam of module