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Mathematical Analysis 2 Summary 12 March 25, 2011

Session 12, March 31, 2011, 12:30–16:15 Program

1. 12:30–14:00 in G5-112. I will go through the definitions and the properties of contour integrals in the complex plane, section 4 in [AJ].

2. 14:00–16:15 in groups. See the list of exercises below. Note that there is extra time for solving problems today.

Exercises Solve the exercises in the order posed.

1. From [AJ] section 3.1 Exercises 6, 8, 9, 10.

2. The exercises on the list below.

3. Exam June 2008, Opgave 4.

4. Re-Exam August 2008, Opgave 4.

Problem list. For each of the power series below determine its radius of convergence.

1.

∞

X

n=0

einzn.

2.

∞

X

n=0

(1 +i)nzn.

3.

∞

X

n=0

1 1 +inzn.

Arne Jensen

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