DE

Modul

Potential Theory [M-MATH-102879]

Credits
8
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
4
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-105850 Potential Theory 8

Competence Certificate

The module will be completed by an oral exam (30 min).

Competence Goal

Students can explain basic properties of harmonic functions and prove existence and uniqueness of solutions to boundary value problems for the Laplace equation in interior and exterior domains using integral equation techniques. They master representation theorems and are able to apply single- and double layer potentials to solver boundary value problems. 

Prerequisites

None

Content

  • Properties of harmonic functions
  • Existence and uniqueness of boundary value problems for the Laplace equation
  • Fundamental solutions and Green's functions
  •  Single- and double layer potentials
  •  Integral equations

Workload

Total workload: 240 hours

Attendance: 90 hours

  • lectures, problem classes, and examination 

Self-studies: 150 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