MAT 342: Applied Complex Analysis

Course Description

We plan to cover basics of Complex analysis and some of its applications. More explicitly, we cover complex numbers, analytic functions, the Cauchy-Riemann and Laplace equations, the Cauchy integral formula and applications, the fundamental theorem of algebra and the maximum principle, power series and Laurent series, the Cauchy residue theorem and applications to evaluating real integrals, conformal mappings.

Class schedule: Monday, Wednesday, Friday 10 : 00 − 10 : 50 am, SBU Earth & Space Sciences - 131.

Text Book:  Complex Variables and Applications (9th edition) by Brown and Churchill. 

Other references: 

• Visual Complex Analysis by T. Needham

• Complex Analysis by L. Ahlfors

• Complex Analysis  by E. Stein & R. Shakarchi.

• Functions of One Complex Variable by J. Conway.

Course Syllabus 

Lecture notes 

Homework