Academic Catalog

MATH353 COMPLEX CALCULUS

Course Code:	2360353
METU Credit (Theoretical-Laboratory hours/week):	4(4-0)
ECTS Credit:	8.0
Department:	Mathematics
Language of Instruction:	English
Level of Study:	Undergraduate
Course Coordinator:	Lecturer Dr. MUHÝDDÝN UÐUZ
Offered Semester:	Fall Semesters.
Prerequisite:	Set 1: 2360252 Set 2: 2360213
One of the sets above should be completed before taking MATH353 COMPLEX CALCULUS .

Course Content

Algebra of complex numbers. Polar representation. Analyticity. Cauchy-Riemann equations. Power series. Elementary functions. Mapping by elementary functions. Linear fractional transformations. Line integral. Cauchy-Theorem. Cauchy integral formula. Taylor`s Series. Laurent series. Residues. Residue theorem. Improper integrals.