HW3 - theorems that have a name mention that(e.g ”By Mean...

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P ROBLEM SET 3 due in class on Friday, January 30. 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. From the textbook, Section 1.4 problems 10 and 14 2. From the textbook, Section 1.5 problems 15, 20 and 22 3. Determine the set of complex numbers where Log z is a continuous function. 4. Show that the function f ( z ) = 1 /z maps the disc B (1 / 2 , 1 / 2) onto the open halfplane H = { z | Re z > 1 } ....
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