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Mathematical Analysis 2 Summary 11 March 25, 2011

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Mathematical Analysis 2 Summary 11 March 25, 2011

Session 11, March 28, 2011, 12:30–16:15 Program

1. 12:30–14:00 in G5-112. I continue with the power series, section 3 in [AJ]. The relation between analytic functions and holomorphic functions will be explained.

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 1, 2, 3, 4. Comment on Exercise 2: We define cos(z) and sin(z) forz ∈C as

cos(z) = 12(eiz+e−iz) and sin(z) = 2i1(eiz−e−iz).

2. Trial Exam June 2005, Opgave 3.

3. Exam June 2006, Opgave 4.

Arne Jensen

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