Module MA4760-KP05

Integral Theorems in Analysis (IntAnaKP05)


Duration

1 Semester

Turnus of offer

irregularly

Credit points

5

Course of studies, specific fields and terms:

  • Master CLS 2023, optional subject, mathematics
  • Bachelor CLS 2023, optional subject, mathematics
  • Master CLS 2016, optional subject, mathematics
  • Bachelor CLS 2016, optional subject, mathematics

Classes and lectures:

  • Integral Theorems in Analysis (exercise, 1 SWS)
  • Integral Theorems in Analysis (lecture, 2 SWS)

Workload:

  • 20 hours exam preparation
  • 85 hours private studies and exercises
  • 45 hours in-classroom work

Contents of teaching:

  • Integration on submanifolds
  • Gauss' Integral Theorem and applications
  • One-forms, line integrals, Green's Integral Theorem
  • Higher-order differential forms, Integration
  • Stokes' Integral Theorem and applications
  • Cauchy's Integral Theorem and applications

Qualification-goals/Competencies:

  • Mastery of basic results and proof techniques of vector analysis
  • Understanding of applications of vector analysis

Grading through:

  • Written or oral exam as announced by the examiner

Responsible for this module:

Language:

  • offered only in German

Notes:

Admission requirements for taking the module:
- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)

Admission requirements for participation in module examination(s):
- Successful completion of homework assignments as specified at the beginning of the semester

Module exam(s):
- MA4760-L1: Integral Theorems in Analysis, oral exam, 30 min, 100 % of module grade

Last Updated:

22.02.2022