Spring 2009

Attendance is mandatory on seminar days.

This schedule is subject to change.

Date Topic
Wed 1/14
Introduction
Fri 1/16 1.1 The complex plane
Mon 1/19 MLK, Jr., Day
Wed 1/21 1.2 Geometry, 1.3 Topology
Fri 1/23 1.4 Functions and limits
Mon 1/26
1.5 Exponential, log, trig functions
Wed 1/28 2.1 Analytic functions
Fri 1/30 2.1.1 Functions and vector fields
Mon 2/2 Seminar day
Wed 2/4 2.2 Power series
Fri 2/6
1.6 Line integrals
Mon 2/9 Seminar day
Wed 2/11 2.3 Cauchy's theorem
Fri 2/13 More 2.3 Cauchy's theorem
Mon 2/16 Review, first midterm (take-home)
Wed 2/18
2.4 Cauchy's formula
Fri 2/20 More 2.4 Cauchy's formula
Mon 2/23 More 2.4 Cauchy's formula
Wed 2/25 2.5 Singularities
Fri 2/27 More 2.5 Singularities
Mon 3/2
Seminar day
Wed 3/4 2.6 Residue theorem
Fri 3/6 More 2.6 Residue theorem
Mon 3/9 Spring break
Wed 3/11
Fri 3/13
Mon 3/16 More 2.6 Residue theorem
Wed 3/18 3.1 Argument principle, Rouche's theorem
Fri 3/20 More 3.1 Argument principle, Rouche's theorem
Mon 3/23 Seminar day
Wed 3/25
3.2 Maximum modulus, mean value
Fri 3/27 Catch up, review
Mon 3/30 Second midterm (take-home) - no class meeting
Wed 4/1 3.3 Mobius transformations
Fri 4/3 3.4 Conformal mapping
Mon 4/6
Seminar day
Wed 4/8 3.4.1 Physical applications of conformal mapping
Fri 4/10 Good Friday
Mon 4/13 3.5 Riemann mapping theorem
Wed 4/15 4.1 Harmonic functions
Fri 4/17
4.2 Physical applications of harmonic functions
Mon 4/20 Seminar day
Wed 4/22 SpARC Day - no classes
Fri 4/24 Complex dynamics
Mon 4/27 Summary, review