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Tentative Complex Analysis Syllabus
Mar. 27 : Syllabus, sign in
Mar. 29: Algebra of the complex plane, Chapter 1
Mar. 31: Open and closed sets, limits and continuity, 2.1-2.3
Apr. 3: Paths, the Paving Lemma and connectedness, 2.4-2.6
Apr. 5: Sequences and series, 3.1-3.2
Apr. 7: Power Series, 3.3-3.5, HW#1 DUE
Apr. 10: Catch up
Apr. 12: The Cauchy-Riemann Equations, 4.1-4.2
Apr. 14: More on differentiablility, 4.3-4.6
Apr. 17: A whirlwind tour of the exponential function, Ch 5
Apr. 19: Contour integration, 6.4-6.5
Apr. 21: More on contour integration, 6.6-6.7, HW#2 DUE
Apr. 24: Catch up, review, Midterm, 7pm
Apr. 26: Argument and winding number, 7.1-7.4
Apr. 28: More on winding number, 7.5-7.8
May 1: Cauchy's Theorem for triangles, 8.1-8.3
May 3: Cauchy's Theorem, version 2, 8.4-8.5, HW#3 DUE
May 5: MIDTERM READING PERIOD--NO CLASSES
May 8: Applications of Cauchy's Theorem, 8.6-8.7
May 10: Taylor series and Morera's Theorem, 10.1-10.3
May 12: Cauchy's Estimate and zeros, 10.4-10.5
May 15: Extension functions and the Maximum Modulus Theorem, 10.6-10.8
May 17: Catch up
May 19: Laurent series, 11.1, HW#4 DUE
May 22: Isolated singularities, 11.2-11.3
May 24: Meromorphic functions and the extended complex plane, 11.4-11.6
May 26: Cauchy's residue theorem, 12.1-12.2
May 29: MEMORIAL DAY--NO CLASSES
May 31: Evaluation of definite integrals, 12.3
June 2: Summing series and counting zeros, 12.4-12.5, HW #5 DUE
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