Homework for Math 421 Fall 2012

SHOW ALL YOUR WORK!!!

• Assignment 1   (Due Friday, September 14)
  • Section 2 page 5:   4
  • Section 3 page 8:   1 (a), (b)
  • Section 4 page 12:   4, 5 (a), (c), 6
  • Section 5 page 14:   1 (c), (d), 9, and the extra problem
  • Section 7 page 22:   1 (a), 2, 3, 4, 5 (c), 5 (a), 6, 9, 10
  • Section 9 page 28:   2 (a), (b), 4, 7, 8
  • Section 10 page 27:   Read it!
  • Section 18 page 55:   5
• Assignment 2   (Due Friday, September 28)
  • Section 20 page 62:   1 (b), (d), 4, 8 (a), 9.
  • Section 21,22,23 page 71:   1 (c), (d), 2 (b), (d), 3 (a),6
  • Section 25 page 77:   1 (a), (b), 2 (a), 3
  • Section 29 page 92:   1, 4, 7, 8 (b), (c), 14
  • Section 34 page 108:   2, 5 (a), 13, 16 (do problem 16 anyway you want, not necessarily using cosh and sinh).
  • Section 31 page 97:   1, 2, 3, 5 (b), 7, 9
  • Section 32 page 100:   2
• Assignment 3   (Due Wednesday, October 3)
  • Section 33 page 104:   1, 2 (c), 3, 5, 6.
  • Section 26 page 81:   1 (a), (d), 2, 3, 4, 7, 8
  • Section 31 page 97:   10 (Method 1: check that its first and second partials are continuous and satisfies the laplace equation. Method 2: realize this function as the real part of an analytic function).
• Assignment 4   (Due Wednesday, October 10)
  • Section 38 page 121:   1 (b), 2 (b), (c), 3, 4
  • Section 39 page 125:   2
  • Section 42 page 135:   1, 3, 5, 6, 7, 8, 10
• Assignment 5   (Due Wednesday, October 17)
  • Section 43 page 140:   1, 2, 4, 7
  • Section 45 page 149:   1, 2 (a), (b), 3, 4, 5
• Assignment 6   (Due Wednesday, October 24)
  • Section 49 page 160:   1 All except (d), 2 ALL, 3, 4, 6, 7.
• Assignment 7   (Due Wednesday, October 31)
  • Section 52 page 170:   1 a, b, c, d, e, 2, 3, 4, 5, 7, 8, 10.
• Assignment 8   (Due Friday, November 9)
  • Section 54 page 179:   1, 3, 4, 5, 6, 7, 9.
• Assignment 9   (Due Monday, November 19)
  • Section 56 page 188:   2, 3, 4
  • Section 59 page 195:   1, 2, 3, 6, 7, 8, 11, 13
• Assignment 10   (Due Wednesday, November 28)
  • Section 62 page 205:   1, 2, 3, 4, 5, 6
  • Section 71 page 239:   1 ALL [for part d write cot(z)=cos(z)csc(z) and use the statement of Exercise 2 page 225 about the power series of csc(z) and multiplication of power series to find the Laurent series of cot(z)], 2 ALL, 3 ALL, 6
• Assignment 11   (Due Friday, December 7)
  • Section 72 page 243:   1 ALL, 2, 3
  • Section 74 page 248:   1, 2 (a), (b), 3, 4, 6 (a)
  • Section 76 page 255:   1, 2 (a), 3 (a), 4 (a), 5
  • Extra problem for section 76
  • Section 87 page 297:   1, 2, 5, 6, 7 (a),(c), 8, 9
  • Section 79 page 267:   1, 2, 3, 4, 5. Recommended: 9.
• Assignment 12   (Not to be handed in, but included in the material for the final exam)
  • Section 81 page 275:   2, 3, 4, 9, 10.
  • Section 85 page 290:   1, 2, 3, 4.