Math 311 - Fall 2003
Homework
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:
- §B3.4 - 1, 2, 5, 6, 8, 9, 11. For each vector
field, calculate the derivative matrix,
- §B3.5 - 26 (p. 236)
- 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.
- §B5.5 - 5, 6, 7, 9
- 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)