MAT.02372.02 - Mathematik B (Complete module description)
| MAT.02372.02 | 15 CP |
|---|---|
| Module label | Mathematik B |
| Module code | MAT.02372.02 |
| Semester of first implementation | |
| Faculty/Institute | Institut für Mathematik |
| Module used in courses of study / semesters |
|
| Responsible person for this module | |
| Further responsible persons |
Institut für Mathematik |
| Prerequisites | |
| Skills to be acquired in this module | Vermittlung der Grundlagen über Algebraische Strukturen Lineare Algebra Analysis sowie deren sichere Handhabung |
| Module contents | Die Veranstaltung besteht aus zwei Teilen: Teil 1: Diskrete Strukturen und lineare Algebra Elementare Logik und Mengentheorie Gruppen, Ringe, Körper rationale, reelle, komplexe Zahlen lineare Gleichungssysteme, Vektoren, Matrizen Vektorräume und lineare Operatoren Eigenwerte, Diagonalisierung, Normalformen Analytische Geometrie Teil 2: Analysis Folgen, Reihen, Konvergenz Funktionen und Stetigkeit Iterationen und Fixpunkte Differential- und Integralrechnung in einer Variablen Fourier-Reihen Differentialrechnung in mehreren Variablen Vektoranalysis |
| Forms of instruction |
Lecture (3 SWS)
Exercises (2 SWS) Lecture (3 SWS) Exercises (2 SWS) Course |
| Languages of instruction | German, English |
| Duration (semesters) | 2 Semester Semester |
| Module frequency | jedes Studienjahr beginnend im Wintersemester |
| Module capacity | unlimited |
| Time of examination | |
| Credit points | 15 CP |
| Share on module final degree | Course 1: %; Course 2: %; Course 3: %; Course 4: %; Course 5: %. |
| Share of module grade on the course of study's final grade | 1 |
| Module course label | Course type | Course title | SWS | Workload of compulsory attendance | Workload of preparation / homework etc | Workload of independent learning | Workload (examination and preparation) | Sum workload |
|---|---|---|---|---|---|---|---|---|
| Course 1 | Lecture | Vorlesung | 3 | 0 | ||||
| Course 2 | Exercises | Übung | 2 | 0 | ||||
| Course 3 | Lecture | Vorlesung | 3 | 0 | ||||
| Course 4 | Exercises | Übung | 2 | 0 | ||||
| Course 5 | Course | Selbststudium | 0 | |||||
| Workload by module | 450 | 450 | ||||||
| Total module workload | 450 | |||||||
| Examination | Exam prerequisites | Type of examination | |
|---|---|---|---|
| Course 1 | |||
| Course 2 | |||
| Course 3 | |||
| Course 4 | |||
| Course 5 | |||
| Final exam of module | Lösen von Übungsaufgaben und deren Präsentation (Teil 1: Lineare Algebra und Geometrie), Lösen von Übungsaufgaben und deren Präsentation (Teil 2: Analysis) |
Klausur I, Klausur II |
|
| Exam repetition information | |||
| Prerequisites and conditions | Prerequisites | Frequency | Compulsory attendance | Share on module grade in percent |
|---|---|---|---|---|
| Course 1 | Summer semester | No | % | |
| Course 2 | Summer semester | No | % | |
| Course 3 | Winter semester | No | % | |
| Course 4 | Winter semester | No | % | |
| Course 5 | Summer or winter semester | No | % |
