The calendar here is tentative, and the topics discussed and specific dates are subject to change. Numbers in parentheses denote the corresponding section from Gamelin, Complex Analysis.

Week 1:
Fri. 8/29	Complex numbers (I.1-2)
Week 2:
Mon. 9/1	No class
Wed. 9/3	Stereographic projection, square and square root (I.3-4)
Fri. 9/5	Exponential and logarithm functions (I.5-6)
Week 3:
Mon. 9/8	Complex limits and continuity (II.1)
Wed. 9/10	Complex differentiation and analyticity (II.2)
Fri. 9/12	Cauchy-Riemann equations (II.3)
Week 4:
Mon. 9/15	Jacobians and inverse function theorem (II.4)
Wed. 9/17	Harmonic functions (II.5)
Fri. 9/19	Conformal mappings (II.6)
Week 5:
Mon. 9/22	Fractional linear transformations (II.7)
Wed. 9/24	More on conformal maps
Fri. 9/26	Midterm 1 review
Week 6:
Mon. 9/29	Midterm 1
Wed. 10/1	Line integrals and Green's theorem (III.1)
Fri. 10/3	Closed and exact forms (III.2)
Week 7:
Mon. 10/6	Harmonic funcitons, mean value property (III.3-4)
Wed. 10/8	Maximum principle (III.5)
Fri. 10/10	Complex line integrals (IV.1-2)
Week 8:
Mon. 10/13	Cauchy's theorem (IV.3)
Wed. 10/15	Cauchy's integral formula (IV.4)
Fri. 10/17	Liouville's theorem (IV.5)
Week 9:
Mon. 10/20	Complex power series (V.1-3)
Wed. 10/22	Power series for analytic functions, manipulation of power series (V.4)
Fri. 10/24	Manipulation of power series (V.6)
Week 10:
Mon. 10/27	Orders of zeroes of analytic functions (V.7)
Wed. 10/29	Midterm 2 review
Fri. 10/31	Midterm 2
Week 11:
Mon. 11/3	Laurent series (VI.1)
Wed. 11/5	Isolated singularities (VI.2)
Fri. 11/7	Partial fraction decompositions (VI.4)
Week 12:
Mon. 11/10	Residue theorem (VII.1) -- guest lecture by Kathryn Mann
Wed. 11/12	Applications of residue theorem (VII.2-3) -- guest lecture by Jean Gutt
Fri. 11/14	More residue theorem (VII.3-4)
Week 13:
Mon. 11/17	More residue theorem (VII.5)
Wed. 11/19	Jordan's lemma (VII.7)
Fri. 11/21	Argument principle (VIII.1)
Week 14:
Mon. 11/24	Rouche's Theorem (VIII.2)
Wed. 11/26	Open mapping and inverse function theorem (VIII.4)
Fri. 11/28	No class
Week 15:
Mon. 12/1	Periodic functions and complex Fourier series (VI.5-6)
Wed. 12/3	Complex Fourier series (VI.6)
Fri. 12/5	Fourier transforms and applicaitons
RRR Week:
Mon. 12/8	Review Session 1
Wed. 12/10	Review Session 2
Final Examinations:
Mon. 12/15	Final exam 11:30am-2:30pm