Math 3228, Semester 2, 2003
Complex Analysis for Applications
(co-taught with James McCoy and Alan
McIntosh)
Lecture notes:
- Week 7: Winding numbers;
argument principle; Rouche's theorem; stability of ODE.[pdf]
- Week 8: Conformal mapping;
Mobius transformations; Gamma function. [pdf]
[Errata: in the first bullet on page 7, "a=d=1 and b=c=0" should be "a=d=0 and b=c=1". At the end of the proof in Theorem 11, z_0 should be f(z_0), and on the next line, f'(z_0)=0 should be f'(z_0) \neq 0. Thanks to Andrew Solomon for these corrections.]
- Week 9: Riemann-Zeta
function; prime number theorem; functional equation. [pdf]
Problem sheets and
assignments:
- Assignment
3 [pdf] and solution [pdf]
Java applets
Miscellaneous links:
Back to my home page.