MATH-207(d) / 4 credits

Teacher: Licht Martin Werner

Language: English


Summary

The course studies the fundamental concepts of complex analysis and Laplace analysis with a view to their use to solve multidisciplinary scientific engineering problems.

Content

Complex analysis
- Definitions and examples of complex functions.
- Holomorphic functions.
- Cauchy-Riemann equations.
- Complex integrals and Cauchy formulas.
- Laurent series.
- Residue theorem.
Laplace analysis
- Laplace transforms.
- Applications to ordinary differential equations.
- Applications to partial differential equations.

Learning Prerequisites

Required courses

Linear algebra, Analysis I, Analysis II, Analysis III

Assessment methods

Written exam

Resources

Moodle Link

In the programs

  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Analysis IV
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Analysis IV
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Analysis IV
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Analysis IV
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Analysis IV
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: mandatory
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Analysis IV
  • Courses: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

Thursday, 15h - 17h: Lecture SG1 138

Thursday, 17h - 19h: Exercise, TP SG1 138

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