# HW8 - theorems that have a name mention that(e.g ”By Mean...

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P ROBLEM SET 8 due in class on Friday, March 12. Complex Variables MAT334 Remark: Please try to write clearly. In particular every statement that you make in your solution should follow from the assumptions of the problem, some of the material that was a prerequisite for the course (high-school algebra, calculus), was done in class, or some of the statements that you have already established in your solution. If you are using some of the
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Unformatted text preview: theorems that have a name, mention that (e.g. ”By Mean Value Theorem. ..”). 1. (10 points) Find the Laurent series for f ( z ) = 1 z 2-1 about z = 1 . Determine the set on which it converges. Also ﬁnd the residue of f ( z ) at z = 1 . 2. Sec 2.5 problems 14, 16, and 22a 3. Sec 2.6 problems 1 and 2...
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