MATH453 INTRODUCTION TO COMPLEX ANALYSIS
| Course Code: |
2360453 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
6.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Undergraduate |
| Course Coordinator: |
|
| Offered Semester: |
Fall Semesters. |
| Prerequisite: |
Set 1: 2360353
|
| The course set above should be completed before taking
MATH453 INTRODUCTION TO COMPLEX ANALYSIS. |
Course Content
Riemann mapping theorem and Schwarz-Christofel transformations zn, z1/n. Elementary Riemann surfaces. Applications of conformal mapping: (flows, heat conduction, electrostatistics,...) Analytic continuation. Argument principle, Rouche`s theorem. Mapping properties of analytic functions (inverse function theorem, open mapping theorem, maximum modulus theorem).
