MATH453 INTRODUCTION TO COMPLEX ANALYSIS
Course Code: | 2360453 |
METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
ECTS Credit: | 6.0 |
Department: | Mathematics |
Language of Instruction: | English |
Level of Study: | Undergraduate |
Course Coordinator: | |
Offered Semester: | Fall Semesters. |
Course Objectives
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).