Problems are from Brown and Churchill, "Complex Variables and Applications,"  7th ed. unless otherwise indicated. If I write S2, p. 4-5:  3, 4, 10 : it means do problems 3, 4 and 10 at the end of Section 2 on pages 4-5 of the book. Homework #0: (Due 9/26/03 in Section) S2, p. 4-5:  3, 4, 10 S3, p.7 :  1 S4, p. 11:  3, 4. These problems on basic properties of complex numbers  will not be collected but they will be covered in Section. _________________________________________ Homework #1: (Due 10/3/03 In Section.) S5, p. 13: 2, 8, 14 S37, p.115-116: 2, 3, 4, S7, p. 21: 1, 6cd, 10 S9, p. 28-29: 1, 2, 6, 7 _________________________________________ Homework #2:  (Due 10/10/03 In Section.) S10, p. 31: 1 -- 3 S11, p. 35: 1 -- 3 S13, p. 42: 2, 3, 7 S17, p. 53-54:  5, 10, 11 S19, p. 59-60: 1, 3, 4,  9 (Do not hand in #9.) _________________________________________ Homework #3: (Not to be collected but to be done before the test.) S17, p. 53-54:  3b S28, p.89: 1,  6, 10, 11 _________________________________________ TEST #1:  Friday October 17, 2003. This test covers the material from Homeworks 0 - 3. _________________________________________ Homework #4: (Due 10/24/03 In Section.) S22, p. 68-69: 1, 2, 6 S24,  p. 73-74: 1ab, 2, 4, 7a S25, p. 78-79: 1,  4, 8 (Do #7 In class.) S28, p.89:  3, 8 S30, p. 94-95: 2, 3,  7*, 9 S31, p. 96: 1, 2, 5 S32, p. 99-100: 1, 2, 6, 8cd *You are asked to find z so that log(z) contains i.pi/2. _________________________________________ Homework #5: (Due 10/31/03 In Section.) S33, p. 103-105: 2, 4, 17, 18     S34, p. 107-108: 4, 5, 8, 14, 15  S35, p. 110:  2, 3                          S38, p. 120-121: 1  (do not turn in)                      S40, p. 128-130: 1, 2, 3, 6, 7, 10, 11 (Fire delayed until next week.) _________________________________________ Homework #6: (Due 11/7/03 In Section.) S40, p. 128-130: 1, 3, 6, 7, 11 S41, p. 133-134: 1, 2, 4, 6                               S43, p. 141-142: 1, 2, 4, 5 (do not turn in 5.)  S46, p. 153-156: 1acf, 2, 6                                             _________________________________________ TEST #2: Monday November 10 at 9:00 AM. This test covers the material from Homeworks 4 - 6. _________________________________________ Homework #7: (Due 11/14/03 In Section.) S48, p. 162-164: 1, 2, 3, 8 (do not turn in 8.)       S50, p. 171-173:  2 (Look at but do not turn in.)            S52, p. 181: 4, 6      ( Hint for S52 #4: Take Eq. (10) on p. 180 and multiply it by z, then set z=re^(i\theta) and take the real and imaginary parts of the result to get the answers.)       Also compute the following integral   where a>0 and b>0 and  a  is not equal to  b.  (Hint: Use the Residue theorem method from class where we computed the integrals of (1+x2)-1 and   (1+x4)-1.) _________________________________________ Homework #8: (Due 11/21/03 In Section.) S72, p. 257-259: 4, 8 S74, p. 265-267:  1, 5, 7 S54, p. 188-190: 1, 2, 3, 4, 7, 11 S60, p. 212-215: 1, 2, 3, 6 _________________________________________ Homework #9: (Due Friday, December 5, 2003.)  (Thanksgiving Holliday Includes Friday November 28, 2003) If you think that you need this homework to study for the test please make a copy before you turn it in. S56, p. 198-200: 1, 2, 6 (use Partial fractions) S61, p. 218-220: 1, 2, 3 S64, p. 230: 1, 2 S67, p. 238-239: 2, 3, 4 S69, p. 245-246:  2 S74, p. 257-259:  3 Hints on the last problem: 1) Use the fact that the integrand is even so as the integral is 1/2 of the integral over the whole real line. 2) Replace cos(ax) by e^(iax) and take the real part at the end. 3) Now extend the contour in the usual way and use the residue theorem to compute the integral. 4) Notice that the integrand has a pole of order 2 at z=ib, so you will need to use Laurent Series methods to find the residue there. _________________________________________ Final Exam: Monday December 8 from 8:00 - 11:00AM.