Matematik 2 - Forår 2005

Reelle og Komplekse Funktioner

Thursday, April 21, 2005,  8:15
Room G5-112

Schedule

8:15-8:45

Review in G5-112.  We will review the main result: any holomorphic function in a starshaped domain has a primitive. After that, we will prove Cauchy's integral formula in a disk, and give examples.

8:45-10:45

Problem session. Work in groups.

10:45-12:00

Lecture in G5-112. We will prove that any holomorphic function is analytic and deduce Cauchy's formula for higher order derivatives.

Problems

From AJ: 4.1.3 (write it on the blackboard, with the main details), 4.1.2, 4.1.1.

• Any previous unsolved problems.