Spring 2013 not offered
We will present the basic properties of complex analytic functions. We begin with the complex numbers themselves and elementary functions and their mapping properties, then discuss Cauchy's integral theorem and Cauchy's integral formula and applications. Then we discuss Taylor and Laurent series, zeros and poles and residue theorems, the argument principle, and Rouche's theorem. In addition to a rigorous introduction to complex analysis, students will gain experience in communicating mathematical ideas and proofs effectively.
||Gen Ed Area Dept:
|Course Format: Lecture||Grading Mode: Graded|
||Prerequisites: (MATH222 AND MATH221) OR (MATH222 AND MATH223)
||Fulfills a Major Requirement for: (CIS)(COMP)(MATH)(NS&B)
|Examinations and Assignments: |
Weekly homework, midterm and final.
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