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).