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).


Course Learning Outcomes