The course: This is a graduate level course concerning
theory and applications of functions of a complex variable.
Besides for graduate students (in math or elsewhere), the course
will be suitable for undergraduates who are overqualified
for MATH 324 (i.e., they meet the prerequisite, MATH 322, and
have reasonable familiarity with complex numbers).
Course Catalog Description :
Analytic functions. Integration over paths in the complex plane.
Index of a point with respect to a closed path;
Cauchy's theorem and Cauchy's integral formula;
power series representation; open mapping theorem; singularities;
Laurent expansion; residue calculus; harmonic functions;
Poisson's formula; Riemann mapping theorem.
More theoretical and at a higher level than MATH 324.
CWRUnet: No substantial computational component of the course is planned. However, most of the out of class course related communications will take place over the Internet.
Grades: Your Final Grade in the course will be based on Attendance/Assignments/Various Forms of Class Participation (50%), Midterm Exam (20%) and Final Exam (30%). (Students with special needs should contact ESS.)
Exams: Midterm: the week of February 28; Final: May 4, 8:30-11:30 a.m
Assigments etc: Regularly updated assignments, exam dates and such will be posted here
Integrity: It is OK (and indeed encouraged) to discuss homework assignments with fellow students. However, any submitted work must be your own. Merely copying someone else's work is unethical, a waste of time and may be penalized. See CWRU academic integrity policy.