Math 3160
T,H
Applied Complex Variables
Fall semester 2011
12:55 PM – 01:45 PM JTB 320
Instructor:
Prof. Elena Cherkaev
Office:
LCB 206
Phone:
581-7315
e-mail:
elena@math.utah.edu
Course home page: www.math.utah.edu/∼elena/M3160/math3160.html
Textbook: Complex Variables and Applications, eighth edition, by J.W. Brown and
R.V. Churchill. The current ISBN is 9780073051949.
Prerequisites: Math 2250 or (Math 2270 and Math 2280).
Exams: There will be two midterms and a final exam.
Tentative dates for the midterms: Test 1 - Oct 4, probable course material is chapters
1-3; test 2 - Nov 10 (chapters 4-5).
Final Exam: December 13, 1:00 - 3:00 pm, in the regular classroom.
Grading: The homework will count for 20% of the grade, two midterms will be 25%
each, and the final exam will make up the remaining 30% of the grade.
Course Outline The course discusses analytic functions, complex integration, Cauchy
integral theorem, power series for analytic functions, Laurent series, residues, and contour
integrals, conformal mappings with applications to electrostatics, heat, and fluid flow.
Homework: Homework will be assigned every week and collected on Tuesdays for grading. You are encouraged to discuss homework problems with friends and make study
groups, but each homework should be written individually. (Copying someone else’s
work will be punished).
Holidays: Labor Day : September 5
Fall break: October 10-15
Thanksgiving break: November 24-25
Tentative Schedule:
Chapters 1 - 3, Complex numbers and Analytic functions, Aug 23 - Sept 27.
Chapters 4 - 5, Integrals and Series, Sept 29 - Nov 8.
Chapters 6 - 7, Residues and poles and Applications of residues, Nov 10 - Nov 29.
Chapters 8 -10, Conformal mappings and Applications, Dec 1 - 8.
Tutoring: Free ”drop-in” tutoring is available for this course in the T. Benny Rushing
Mathematics Center (adjacent to the LCB and JWB buildings). For more information
about the tutoring center see http://www.math.utah.edu/ugrad/tutoring.html.
ADA statement: The American with Disabilities Act requires that reasonable accommodations be provided for students with physical, sensory, cognitive, systemic, learning,
and psychiatric disabilities. Please contact me at the beginning of the semester to discuss
any such accommodations for the course.