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 |
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| 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)
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| 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 |
| Literaturempfehlungen | 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 |
| Modullevel / module level | AC (Aufbaucurriculum / Composition) |
| Modulart / typ of module | je nach Studiengang Pflicht oder Wahlpflicht |
| Lehr-/Lernform / Teaching/Learning method | |
| Vorkenntnisse / Previous knowledge |
| 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 |
