TEXT: J. H. Matthews and R. W. Howell, Complex Analysis for Mathematics and Engineering, 6th Ed., Jones and Bartlett.

COURSE DESCRIPTION:

An introductory study of functions involving complex numbers. Subjects are selected based upon their importance in physical and engineering applications. Included are complex numbers, complex functions, analytic functions, complex integration, infinite series, residue theorem, contour integration, conformal mapping and application of harmonic functions. Prerequisite: Calculus II (MAT 152, MAT 122 or equivalent).

COURSE OBJECTIVES:
The major objective of this course is to introduce fundamental principles of complex variables and to illustrate their power on applications. This course also prepares mathematics majors for graduate school.

LEARNING OUTCOMES:
At the end of the semester, students will be able to:

• calculate with complex numbers,
• apply the Cauchy-Riemann equations to test for differentiability,
• calculate with series and test for their convergence,
• calculate complex integrals using residues,
• describe conformal mappings,
• apply complex variables to transforms, potentials and steady state temperature problems.

OFFICE HOURS:   T,R   9-10AM,   4-5PM

GRADES:

Homework Test (Sept. 21) Test (Oct. 19) Test (Nov. 16) Final (cumulative)

10 points 25 points 25 points 25 points 40 points

A+ >= 97 pts A = 93,...,96 pts A- = 90,...,92 pts etc.

The lowest test score will be dropped.

Accommodations for Students with Disabilities registered at SUNY Polytechnic Institute
In compliance with the Americans with Disabilities Act of 1990 and with Section 504 of the Rehabilitation Act, SUNY Polytechnic Institute is committed to ensuring educational access and accommodations for all its registered students seeking access to meet course requirements and fully participate in programs or activities. SUNY Poly students with documented disabilities and medical conditions are encouraged to request these services by registering with the Disability Services Office and discussing your need for accommodations. For information or an appointment contact  Suzanne Sprague at the Disability Services Office, located in room B101 Kunsela Hall or by phone (315) 792-7170; or e-mail suzanne.sprague@sunyit.edu.