Math 311 - Fall 2003

Assignment 1

• Read sections A1.1-A1.3.
• Hand in these problems:

  §A1.1  -  3d, 6ad, 7

  §A1.2  -  2ef, 3def, 4def, 5fhk, 12, 20ac

  §A1.3  -  1acgh, 2abf, 3abf, 4b

• Due Friday, 12 September.

Assignment 2

• Read sections A1.4, A2.1,A2.2, Review -- B1.4, B1.5, B1.7
• Hand in these problems:

  §A1.3  -  10, 13, 14, 15, 24, 31, 32

  §A1.4  -  3, 6, 8, 9bg, 11

  §A2.1  -  3bdg

• Due Friday, 19 September.

Assignment 3

• Read sections A3.1, A3.2
• Hand in these problems:

  §A2.1  -  6

  §A2.2  -  3ef, 5, 10, 11

  §B1.4  -  6, 10, 16, 17, 19

• Due Friday, 26 September.

Assignment 4

• Read sections A3.3, A3.4
• Hand in these problems:

  §A3.1  -  5, 15, 16

  §A3.2  -  5bc, 6bde, 9bd, 13, 14.

• Due Monday, 6 October.

Assignment 5

• Read sections A3.5, A3.6, A4.1.
• Hand in these problems:

  §A3.3  -  1cde, 2bce, 3bce, 4c, 6bc, 7bc, 8, 15

  §A3.4  -  1cde, 2bce, 5, 7, 10, 11, 13, 14abc, 15.

• Due Wednesday, 15 October.

Assignment 6

• Read sections A4.1-4.3.
• Hand in these problems:

  §A3.5  -  1b, 2b, 3b, 5, 6, 9, 10

  §A3.6  -  1bc, 3, 4f, 5f, 7, 8, 10, 12, 18

  §A4.1  -  1ac, 2, 4, 5, 8, 9

• Due Friday, 24 October.

Assignment 7

• Read section A6.1, A6.2.
• Hand in these problems:

  §A4.2  -  2c, 3c, 5ab, 6, 10ab, 12, 13, 16b

  §A4.3  -  2, 5, 6, 11

  §A6.1  -  1cgh, 2

• Due Friday, 31 October.

Assignment 8

• Read section A6.3, A5.4.
• Hand in these problems:

  §A6.1  -  1j, 4, 6, 10, 11

  §A6.2  -  9, 10

  §A6.3  -  1cd, 2cd, 4a, 24bc

• Due Friday, 7 November.

Assignment 9

• Read section B3.4, B5.5, B6.2, B6.3
• Hand in these problems:
  1. §B3.4  -  1, 2, 5, 6, 8, 9, 11. For each vector field, calculate the derivative matrix,
     
  2. §B3.5  -  26 (p. 236)
  3. Let f:R³ -> R, g:R² -> R³ and h:R² -> R be given by
     
     Use the chain rule to find the direction in which h is decreasing most rapidly at the point x=2, y=-1.
     
  4. §B5.5  -  5, 6, 7, 9
  5. Let (x,y)=T(u,v)=(u-uv,uv), and let D* be the uv rectangle 1 < u < 2, 0 < v < 1. Sketch the image region D = T(D*) and compute the double integral
     
• Due Wednesday, 19 November.

Assignment 10

• Read section B7.1, B7.2, B7.3
• Hand in these problems:
  • §B6.1  -  4, 9, 12, 17
  • §B6.2  -  2, 6, 7, 15
  • §B6.3  -  2, 7, 12
• Due Wednesday, 3 December.

Assignment 11

• Read section B7.1, B7.2, B7.3, A5.5
• Suggested problems.
  • §B7.1  -  1, 4, 7, 10, 11, 17, 18, 21
  • §B7.2  -  1, 2, 9, 11, 12, 15, 17, 19
  • §B7.3  -  2, 9, 11, 12, 14
  • §A5.4  -  2, 4, 7, 8, 11, 15b, 16, 26

Updated: 4 December 2003 (fjn)