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:
Tues. 1/19	Complex numbers (I.1-2)
Thurs. 1/21	Stereographic projection, exponential and logarithm (I.3,5-6)
Week 2:
Tues. 1/26	Complex limits, continuity, and differentiation (II.1-2)
Thurs. 1/28	Differentiation and Cauchy-Riemann equations (II.2-3)
Week 3:
Tues. 2/2	Jacobians and inverse function theorem, harmonic functions (II.4-5)
Thurs. 2/4	Harmonic functions, conformal mappings (II.5-6)
Week 4:
Tues. 2/9	Fractional linear transformations and conformal mappings (II.7)
Thurs. 2/11	Line integrals and Green's theorem, closed and exact forms (III.1-2) -- guest lecture by Kathryn Mann
Week 5:
Tues. 2/16	Midterm 1 review
Thurs. 2/18	Midterm 1
Week 6:
Tues. 2/23	Harmonic functions, mean value property, maximum principle (III.3-5)
Thurs. 2/25	Complex line integrals (IV.1-2)
Week 7:
Tues. 3/1	Cauchy's theorem, Cauchy's integral formula (IV.3-4) -- guest lecture by Kathryn Mann
Thurs. 3/3	Liouville's theorem (IV.5)
Week 8:
Tues. 3/8	Complex series, sequences and series of functions (V.1-2) -- guest lecture by Kathryn Mann
Thurs. 3/10	Complex power series (V.3-4)
Week 9:
Tues. 3/15	Power series at infinity, manipulation of power series, zeroes of analytic functions (V.5-7)
Fri. 3/17	Zeroes of analytic functions (V.5-7)
Week 10:
Tues. 3/29	Midterm 2 review
Fri. 3/31	Midterm 2
Week 11:
Tues. 4/5	Laurent series (VI.1)
Thurs. 4/7	Isolated singularities (VI.2)
Week 12:
Tues. 4/12	Residue theorem and applications (VII.1-2)
Thurs. 4/14	More residue theorem (VII.3-4)
Week 13:
Tues. 4/19	Fractional residues and Jordan's lemma (VII.5,7)
Thurs. 4/21	Argument principle and Rouche's theorem (VIII.1-2)
Week 14:
Tues. 4/26	Winding number (VIII.6-7)
Thurs. 4/28	Open mapping and inverse function theorem (VIII.4)
RRR Week:
Thurs. 5/5	Review
Final Examinations:
Mon. 5/9	Final exam 11:30am-2:30pm in 3113 Etcheverry