syllabus - Math 4364 Theory of Complex Variables Instructor...

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Math 4364 Fall 2011 Theory of Complex Variables Instructor: Dr. Ryan C. Daileda Office: Marrs McLean Science Building (MMS), Room 115 h e-mail: [email protected] Telephone: (210) 999-8265 URL: http://www.trinity.edu/rdaileda Office Hours: Consult the course web site. Textbook: Basic Complex Analysis (third edition) by Marsden & Hoffman Course URL: http://www.trinity.edu/rdaileda/complex Prerequisites: Math 3360 (Real Analysis) Course Content: This course is an introduction to the theory of functions of a complex variable. We will cover most of chapters 1 through 4 of the textbook, which includes basic properties of complex numbers, analytic functions, contour integrals, Cauchy’s Theorem and its consequences, series representations, and the residue calculus. If we have time we may touch on additional topics from Chapters 5 and 6 such as conformal mappings, analytic continuation or Rouch´ e’s Theorem. Homework: Homework will be assigned daily and will consist of reading as well as problem solving. All assignments will be posted on the course homework web page. Reading assignments are to be completed daily while written work will typically be turned in once a week. Due dates for written work will be clearly indicated as the work is assigned. Please do not hand in late assignments without consulting me prior to their due dates.
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