Mathematics 6360

Functions of a complex variable 2

This is a rough guide to the topics we will cover.

Week 1
Week 2
Introduction to conformal mapping
Week 3
Elementary conformal mappings
Week 4
Riemann mapping theorem
Week 5
Conformal mappings of polygons
Week 6
Harmonic functions, Dirichlet problem
Week 7
Review of integration
Week 8
Introductin to series and product developments
Week 9
Partial fractions and factorization
Week 10
Entire functions
Week 11
Riemann zeta function
Week 12
Introduction to elliptic functions
Week 13
Analytic continuation
Week 14
Introduction to Riemann surfaces

Final exam schedule