DE

Modul

Monotonicity Methods in Analysis [M-MATH-102887]

Credits
3
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
4
Version
1

Responsible

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