Complex Analysis
| Title | ΜΙΓΑΔΙΚΗ ΑΝΑΛΥΣΗ / Complex Analysis |
| Code | 0208Α |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Common | No |
| Status | Active |
| Course ID | 600019648 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 389
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Compulsory Course | 6 | 3 | 6 |
| Academic Year | 2021 – 2022 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600187109
|
| Section | Instructors |
|---|---|
| 1. ΤΜΗΜΑ Α | Dimitrios Betsakos |
| 2. ΤΜΗΜΑ Β | Aristomenis Siskakis |
Course Type 2016-2020
- Background
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600187109
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 0204 Topology of Metric Spaces
General Competences
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Make decisions
- Work in teams
- Advance free, creative and causative thinking
Course Content (Syllabus)
Complex numbers, the complex plane, topology of the plane, elementary
complex functions - Holomorphic functions, Cauchy-Riemann equations - The complex
integral, Cauchy's theorem and integral formula - The maximum principle, theorems of
Morera and Liouville, the Schwarz lemma - Power series, the identity theorem. - Laurent
series, singularities, residues.
Educational Material Types
- Book
Use of Information and Communication Technologies
Description
Final Written Exam
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | 1.7 | |||
| Reading Assigment | 155 | 5.2 | |||
| Exams | 3 | 0.1 | |||
| Total | 210 | 7 |
Student Assessment
Student Assessment methods
- Written Exam with Extended Answer Questions (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Ένα Εισαγωγικό μάθημα στις Μιγαδικές Συναρτήσεις, Ν. Δανίκας, University Press, 1996.
- Μιγαδική Ανάλυση, T. Bak, D. Newman, Leader Books, 2004.
Last Update
22-07-2020
