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:
Wed. 1/22	Complex numbers (I.1-2)
Fri. 1/24	Stereographic projection, square and square root (I.3-4)
Week 2:
Mon. 1/27	Exponential and logarithm functions (I.5-6)
Wed. 1/29	Complex limits and continuity (II.1)
Fri. 1/31	Complex differentiation and analyticity (II.2)
Week 3:
Mon. 2/3	Cauchy-Riemann equations (II.3)
Wed. 2/5	Jacobians and inverse function theorem (II.4)
Fri. 2/7	Harmonic functions (II.5)
Week 4:
Mon. 2/10	Conformal mappings (II.6)
Wed. 2/12	Fractional linear transformations (II.7)
Fri. 2/14	Line integrals and Green's theorem (III.1)
Week 5:
Mon. 2/17	No class
Wed. 2/19	Midterm 1 review
Fri. 2/21	Midterm 1
Week 6:
Mon. 2/24	Closed and exact forms, harmonic functions (III.2-3)
Wed. 2/26	Mean value property (III.4)
Fri. 2/28	Maximum principle (III.5)
Week 7:
Mon. 3/3	Complex line integrals (IV.1-2)
Wed. 3/5	Cauchy's theorem (IV.3)
Fri. 3/7	Cauchy's integral formula (IV.4)
Week 8:
Mon. 3/10	Liouville's theorem (IV.5)
Wed. 3/12	Complex power series (V.1-3)
Fri. 3/14	Power series for analytic functions, manipulation of power series (V.4)
Week 9:
Mon. 3/17	Manipulation of power series (V.6)
Wed. 3/19	Orders of zeroes of analytic functions (V.7)
Fri. 3/21	Laurent series (VI.1)
Week 10:
Mon. 3/31	Isolated singularities (VI.2)
Wed. 4/2	Partial fraction decompositions (VI.4)
Fri. 4/4	Midterm 2 review
Week 11:
Mon. 4/7	Midterm 2
Wed. 4/9	Residue theorem (VII.1)
Fri. 4/11	Applications of residue theorem (VII.2-3)
Week 12:
Mon. 4/14	More residue theorem (VII.3-4)
Wed. 4/16	More residue theorem (VII.5)
Fri. 4/18	Jordan's lemma (VII.7)
Week 13:
Mon. 4/21	Argument principle (VIII.1)
Wed. 4/23	Rouche's Theorem (VIII.2)
Fri. 4/25	Open mapping and inverse function theorem (VIII.4)
Week 14:
Mon. 4/28	Gamma and zeta functions
Wed. 4/30	Chebyshev function and the prime number theorem
Fri. 5/2	Laplace transforms, proof of prime number theorem
RRR Week:
Mon. 5/5	Review Session 1
Wed. 5/7	Review Session 2
Final Examinations:
Wed. 5/14	Final exam 7-10pm