# Math 132 Homework Assignments

Assignment 1 (Due Jan 20)
• Section 1.1, Questions 15, 20, 23
• Section 1.2, Question 7(cdh)
• Section 1.4, Questions 4,17
• Section 1.6, Questions 2(bcd), 3(bcd), 4(bcd), 5(bcd)
• Section 2.1, Question 1(f)
Assignment 2 (Due Jan 27)
• Section 2.2, Questions 9(ace), 15
• Section 2.3, Question 4
• Section 2.4, Questions 2, 5*, 11
• Section 2.5, Questions 1(ac), 3(ce)
• Section 7.3, Questions 3,4,9,12
(*) An entire function is a function which is analytic on all of the complex plane.
Assignment 3 (Due Feb 3)
• Section 7.4, Questions 1, 14
• Section 3.1, Questions 5(ace), 9(b), 11, 12(c)
• Section 3.2, Questions 1(bd), 5, 9, 13
• Section 3.3, Question 11
Assignment 4 (Due Feb 10)
• Section 4.1, Questions 1(ab), 8, 10
• Section 4.2, Questions 3(b), 5, 7, 11, 13
• Section 4.3, Questions 1(bdfg*), 2, 5
(*) Hint for 1(g): show that the principal branch of 2/3 z^{3/2} is an antiderivative of the principal branch of z^{1/2}.

Assignment 5 (Due Feb 17)
• Section 4.4, Question 10(ace), 13
• Section 4.5, Questions 2, 3(bce), 4, 5, 7, 8
• Section 4.6, Question 5
Assignment 6 (Due Feb 24)
• Section 5.1, Questions 1(bc), 3, 7
• Section 5.2, Questions 1(ae), 2(ae), 8(ac), 11(ab), 14
Assignment 7 (Due Mar 2)
• Section 5.3, Questions 2, 3(bd)
• Section 5.5, Questions 3, 4, 7(b), 9
Assignment 8 (Due Mar 9)
• Section 5.6, Questions 1(acdg), 2, 3, 6
• Section 5.7, Questions 1(cdegh), 6
• Section 6.1, Questions 1(eg), 2, 3(abc)

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Hint for Section 5.7, Question 6: An alternate solution to the one suggested in the textbook is to make a change of variables, replacing zeta with 1/zeta. (You may use the change of variables formula for contour integrals in exactly the same way you would use it for real integrals.)

Assignment 9 (Due Mar 16)
• Section 6.2, Questions 1, 4, 5
• Section 6.3, Questions 1, 3, 9
• Section 6.4, Questions 3, 9
• Section 6.5, Question 3
• Section 6.6, Question 2

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