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Modul
Monotonicity Methods in Analysis [M-MATH-102887]
Credits
3Recurrence
UnregelmäßigDuration
1 SemesterLanguage
Level
4Version
1Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-105877 | Monotonicity Methods in Analysis | 3 |
Competence Certificate
The module will be completed by an oral exam (about 20 min).
Competence Goal
At the end of the course, students can
- name, discuss and apply basic techniques of the order-theoretical methods of analysis,
- apply specific order theory techniques to fixed point problems and differential equations.
Prerequisites
None
Content
- Fixed point theorems in ordered sets and ordered metric spaces.
- Ordered Banach spaces.
- Quasimonotone increasing functions.
- Differential equations and differential inequalities in ordered Banach spaces.
Recommendation
The course "Functional Analysis" is recommended.
Workload
Total workload: 90 hours
Attendance: 30 hours
- lectures, problem classes, and examination
Self-studies: 60 hours
- follow-up and deepening of the course content,
- work on problem sheets,
- literature study and internet research relating to the course content,
- preparation for the module examination