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 1.5, Question 5(ad)
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)

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