Complex Analysis
| Title | ΜΙΓΑΔΙΚΗ ΑΝΑΛΥΣΗ / Complex Analysis |
| Code | 0641 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 2nd / Postgraduate |
| Teaching Period | Winter |
| Coordinator | Dimitrios Betsakos |
| Common | Yes |
| Status | Active |
| Course ID | 40000029 |
Programme of Study: PMS Tmīmatos Mathīmatikṓn (2018-sīmera)
Registered students: 9
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| THEŌRĪTIKA MATHĪMATIKA | Core Courses A2 | 1 | 1 | 10 |
| Academic Year | 2022 – 2023 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600223664
|
Course Type 2021
Specialization / Direction
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600223664
Course Content (Syllabus)
Holomorphic functions. General form of Cauchy's theorem. Locally uniform convergenvce, Weierstrass' theorem. Infinite products, Runge's theorem. Normal families, Montel's theorem. Conformal mapping, Riemann mapping theorem. Harmonic and subharmonic functions, Maximum principle, Dirichlet's problem, Schwarz reflection principle. Theorems of Bloch, Schottky, Montel_caratheodory, Picard.
Keywords
Holomorphic functions, normal families, conformal mapping, harmonic functions
Educational Material Types
- Notes
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | |||||
| Total |
Student Assessment
Student Assessment methods
- Written Exam with Extended Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Last Update
24-05-2023
