Math 417: Complex Analysis with Applications, Fall 2018

Instructor:

Alexey Cheskidov
Office: 535 SEO
phone: 996-5273
e-mail: acheskid@math.uic.edu
Office hours: MW 2-3pm

Text:

Ruel V. Churchill and James Ward Brown, Complex Variables and Applications, Ninth Edition, McGraw Hill.

Topics:

Complex numbers, analytic functions, complex integration, Taylor and Laurent series, residue calculus, branch cuts, conformal mapping, argument principle, Rouche's theorem, Poisson integral formula, analytic continuation.

Grading:

Homework: 30%
Midterm Exam (Oct 12): 30%
Final exam: (Dec 13, 10:30am-12:30pm) 40%

Practice Exam

Students with disabilities must inform the instructor of the need for accommodations. Those who require accommodations for access and participation in this course must be registered with the Disability Resource Center. Please contact ODS at 312/413-2183 (voice) or 312/413-0123 (TTY)

Homework:

HW1
Chapter 1: 3.1, 3.2, 9.5, 9.9, 11.4
Chapter 2: 14.2, 14.8, 18.10, 18.11
Show that (e^z)' = e^z

HW2
Chapter 2: 20.1, 20.8, 24.1(a), 24.3(c), 24.4(a), 26.6, 26.7, 27.1, 27.2.
Chapter 3: 30.1(b), 30.7, 33.2(c), 33.8, 38.2, 39.16.
Chapter 4: 42.3, 43.5, 43.6, 46.1, 46.5, 47.1, 49.1, 49.2.

HW3
Chapter 4: 53.1(a,c), 57.1(b,d,e), 57.4, 57.5, 59.8 Chapter 5: 61.1, 65.3, 65.6, 68.1, 68.6, 72.4, 72.11, 73.1.

HW4
Chapter 6: 77.1(b), 77.2(c), 71.3, 77.4(a), 78.1(b,c), 78.3, 81.4, 81.5, 83.3(a).