Matematik 2  Forår 2005
Reelle og Komplekse Funktioner
10. kursusgang
Monday, April 4, 2005, 8:15
Room G5112
Schedule

8:158:45

Introduction in G5112. I will give the definition of a complex differentiable
function and show that the CauchyRiemann equations hold. After this I
will give examples, as time permits.

8:4510:45

Problem session. Work in groups.

10:4512:00

Lecture in G5112. We will go over part of Section 2 from AJ^{1},
especially Theorem 2.4.
Problems

From AJ: 2.1.5, 2.1.1, 2.1.3, 2.1.9.

The function f(z)=1/(z^{3 }+8) is holomorphic everywhere except
where the denominator is 0. (why?). Find the points where f is not
holomorphic.

Show that the Jacobian of a holomorphic function f is f'(z)^{2}
for every z=(x,y) in the domain of f.
^{1}Arne's notes: "A Short Introduction to Complex Analysis".
Updated March 31, CD.