MATH 082: CLASS HOME PAGE
SUMMER SESSION I, 2009
On this page you will
find links to at least some of the materials handed out in class, together with
the problems assigned from each section. I will try to keep the latter as
up-to-date as possible, but sometimes there will be a small delay.
Generally, once updated, the list will stand as the "official"
homework that has been assigned, however. I will also try to keep track
here of sections that we have or will omit; and post dates of quizzes.
Friday’s test will be roughly the
same length as the previous two. It will
cover from 11.3 to 12.5, minus 11.4 and 11.8.
It will start at 1.45 and is intended to be a 50 minute test.
I will have office hours Friday
from 11 a.m.
Quote of the week: “Mathematically
speaking, a tornado is vector calculus with a vengeance.” (The Centre for
Computational Mathematics in Industry and Commerce) Movie of vector field
of a tornado
Links to the vector field applets I
demonstrated in class (I can’t guarantee that they will work on all computers):
http://www.falstad.com/vector3d
and http://www.falstad.com/vector
Syllabus
Homework
Assignments:
- 8.1. For this first assignment, only, I will be
somewhat vague: those of you who are already comfortable with vectors (all
http://www.falstad.com/vectorof
you, I suspect), should concentrate on doing more problems from 8.2, where
you may be less comfortable. In
class, I asked you to pick a selection from #1-34 to test yourself, plus
#39, 41. Work on more of the word problems if you breeze through the early
ones.
- 8.2.
Again, do a selection from 1-22 – but make sure you do #1 and #2 – plus
#43, 45, 51. Again, work on more of
the word problems if you breeze through the early ones.
- 8.3.
Make sure you know the algebraic definition of dot product and the
alternative geometric definition, plus apps to angles and to projections.
Do two each from #1 – 6, 7 – 10, 11 – 16, 21 – 26, and also #47, 50, 59.
- 8.4.
Make sure you know the algebraic definition of cross product and the
alternative geometric definition, plus apps to area and volume. Do #1, 3, 5, 7, 9, 17, 19, 21. In
addition, read about “torque”, starting on page 721 (see Example 4.7) and
do #27.
- 8.5.
There is a lot to absorb in this section.
Practice via #1, 3, 5, 13, 19, 21, 23, 27; try to do all of #29 –
40 over the course of a few days. Also (Thursday) do #41, 47, 49, 51, 52,
57, 63.
- 8.6.
Try to use your calculator to guide you.
I will give you a handout for quizzes and tests, but you will need
to practice in order to make use of it!
Start with #1-8 (draw traces carefully) and 15, 23, 25, 27, 37
(which include several cylinders). Also (Tuesday) 11,17,31
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- 9.1 Do #1, 5,
7, 11, 15, 21, 37 (length of curve only).
Review #31.
- 9.2 #1, 4, 9, 15, 17, 19, 25, 29.
- 9.3 #3, 5, 9, 11, and also #23, 35, 39, 42.
- The rest of Chapter 9 will be omitted, for the moment.
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- 10.1 #7,
11, 19, 21, 25, 31, 37, 49, 51, 61, 64.
- 10.3 #1, 5, 7, 9, 13, 17, 19, 35, 37, 39, 41,
51.
- 10.4 #1, 5, 9, 10(a) … also (Thursday) 7, 13, 23, 29.
- 10.2 #1, 3, 7, 9, 15, 19, 37, 41.
- 10.5 Do the problems on the handout instead.
- 10.6 #1 – 9, 51. Also (Monday), 11, 13, 17, 23, 27, 35,
43, 47, 55.
- 10.7 #1, 3, 5, 7
(just find the critical points), 9.
More (Tuesday):
complete 1, 3, 5, 7 and do 33, 35, 37, 51-56.
- 10.8 Skip. (We
may spend a little time on it later.)
- Review exercises: you can skip 19, 20, 45, 46, 63, 64
and 67 – 72. Otherwise they are all
good practice.
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- 11.1 #1,
5, 9, 17, 19, 25, 33, 35, 49, 55.
- 11.2 #1, 5, 7, 13, 15, 25. Also (Monday) finish #25 (i.e., find
center of mass too) and do #29.
- 11.3 #1, 5, 11, 19, 25, 31 and 41. Also (Monday) #23, 29, 49.
- 11.5 #1, 3, 5, 9, 11, 21, 39. Also (Wednesday) #11, 23, 31.
- 11.6 #1 – 10 and 39 – 46 (as many as you can,
but work on 11.7 first). Also
(Wednesday) #11, 15, 27, 29, 33.
- 11.7 #1 – 36 (as many as you can, and some from
each block of problems). Also
(Wednesday) #33, 35, 43, 49.
- Review exercises: you can skip 35-42 and 67-72. Working the problems on volume is a good
way to practice integrals at this point in the course.
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- 12.1 #1, 5, 9,
11, 17, 21, 23, 25, 27, 31 (you will have to ignore the instructions to
use a CAS unless you are familiar with using Maple). Also (Monday) 45,47, 53.
- 12.2 #1 – 12 (enough to become familiar with
the calculations). Also (Monday) 13, 21, 27, 31-36.
- 12.3 #3, 7, 11,
19, 21. Also (Tuesday)
#25, 29, 31, 33, 37 – 42.
- 12.4 #13, 15, 19,
21, 23, 37, 31-36.
- 12.5 #1, 5, 9,
15, 21, 23.
- Review exercises: you should be able to do all through
#52, except for #9, 10.