|Math 503: Complex Analysis, in the Fall, 1997, semester|
|Preface||Background||Syllabus||Homework||Links to 503 technical pages||The text|
Much work has been done to make complex analysis accessible to a wide population since the techniques are so useful in applications to science and engineering. Undergraduate and graduate courses in complex analysis tend to have a large overlap in subject matter. The distinguishing mark of the graduate course is attention to the details of proofs, especially the sometimes irritating niceties of convergence arguments (varieties of uniform convergence and their consequences) and the necessary intricacies of plane topology (including winding number and some aspects of homology and homotopy). This careful underpinning should help a student to apply and if necessary extend the results of complex analysis.