Introduction to Complex Analysis
Course topics
- Complex numbers, open sets in the plane.
- Continuity of functions of a complex variable
- Derivative at a point and Cauchy–Riemann equations
- Analytic functions; example of power series and elementary functions
- Cauchy’s theorem and applications.
- Cauchy’s formula and power series expansions
- Morera’s theorem
- Existence of a logarithm and of a square root
- Liouville’s theorem and the fundamental theorem of algebra
- Laurent series and classification of isolated singular points. The residue theorem
- Harmonic functions
- Schwarz’ lemma and applications
- Some ideas on conformal mappings
- Computations of integrals
Course Information
- University course catalogue:
- 201.1.0071
- Level:
- Service
- Credits:
- 3.5
Recently Given
- 2023–24–B
- 2022–23–B (Prof. Dmitry Kerner)
- 2021–22–B (Prof. Boris Zaltzman)
- 2020–21–B (Prof. Ilan Hirshberg)
- 2019–20–B
- 2018–19–B (Prof. Dmitry Kerner)
- 2018–19–A (Dr. Yosef Strauss)
- 2017–18–B (Prof. Assaf Hasson)
Departments
- Physics
- Faculty - Engineering
- Faculty - Natural sciences
- Biomedical engineering
- Electrical engineering
- Communication systems engineering