M427L: Vector Calculus
TTh 9:30-11:00, JGB 2.216
Daniel Allcock, RLM 9.112, phone 1-1120
office hours: M 3-4, Th 1-2 and by appointment. SEE BELOW FOR EXCEPTIONS. below)
(my last name)@math.utexas.edu.

This is where I will post homework assignments and other announcements. For example, the first-day handout.

There will be no office hours on thursday Jan 22; instead they will be on friday Jan 23 from 11-12. Also, office hours on thursday Jan 29 will be at 2:30-3:30, not the usual time. (These changes are because of an unusual number of lectures and meeting that I need to attend.)
HW 1
1.1: 6, 8, 14, 16, 18, 20, 22
1.2: 4, 8, 14, 18, 20
1.3: 2ac, 4, 6, 12, 16c, 20, 24, 28

HW 2
1.4: 2, 8, 13, 14
1.5: 2, 11, 12, 13
2.1: 5, 6, 7, 14, 17
2.2: 8b, 9b then 9a, 10b, 10c, 18

HW 3
2.3: 3, 5, 7bd, 15, 16
2.4: 2, 4, 6, 10, 13, 16, 18
2.5: 10, 12, 15
p. 178: 40

HW 4 (due tue 17 feb)
2.6: 2d, 3a, 4a, 5a, 9, 15, 16, 18
3.1: 5, 8, 12, 18
3.3: 13, 15, 21, 25, 33, 36

HW5 (due tue 24 feb)
3.2: 3, 6
3.3: 22, 24 (hint: these may be easier using Lagrange multipliers)
3.3: 19 with f replaced by y(y-x⁴)THIS PROBLEM CANCELLED
3.4: 15, 16, 20, 27

HW6 (due tue Mar 3)
4.1: 3, 8, 12, 14, 18
4.2: 1, 2, 5, 8, 10

Exam 1 scale: A=83+, B=63+, C=48+, D=35+

HW7 (due THURSDAY Mar 12)
4.3: 6, 7, 8, 11
4.4: 1, 4, 5, 8, 13, 16, 18, 29
Prove identity #9 in the list on p. 306

TEMPORARY OFFICE HOURS CHANGE: I am moving my thu mar 12 office hours to tue mar 10, at the same time (1-2).

HW8 (due tue mar 24)
5.1: 1acd, 6, 7, 9
5.3: 2adcf, 5, 6, 8
5.4: 1acd, 8, 11
5.5: 5, 7, 8, 19

HW9 (due tue mar 31)
5.5: 3, 4, 10, 11, 15, 16
5.5: set up 23, 24, 25 in cylindrical coordinates. You don't need to evaluate the integral.
6.1: 3, 5, 6, 12
6.2: 1, 4, 6, 9, 19, 25, 31, 32

HW10 (due tue april 7)
6.3: 5, 10, 13, 18 (note: instructions on 18(a) are a little terse; maybe this will help: consider a small piece of the plate, of area dA. You can work out its mass using the known density. It is moving, by virtue of the plate rotating, so you can work out its velocity, which depends on which area element you are considering. So you can work out the kinetic energy of that chunk of the plate. Also: angular velocity ω means that the plate spins through ωt radians in a time t.)
ch.6 review exercises: 17, 18

HW11 (due tue april 13)
7.1: 1, 4, 5, 6, 9
7.2: 1bcd, 3, 5, 6, 9, 10, 12, 15, 16
7.3: 1, 5, 12, 15
7.4: 1, 4, 6, 7, 9, 15 (on 4 you only need to use one method).
NOTE: 7.4 postponed to next homework.

Exam 2 scale: A=89+, B=77+, C=66+, D=57+

HW12 (due tue april 20 oops 21)
7.4: as above
7.5: 2, 3, 6, 9, 11, 18, 19

HW13 (due tue april 28)
7.6: 2, 4, 5, 7, 13, 18
8.1: 3acd, 5, 10, 12, 14

HW14 (due THURSDAY may 7)
8.2: 3, 7, 8, 10, 15, 17, 23
8.3: 4, 7, 12, 17, 18, 19
8.4: 1, 3, 7, 16, 23