| Homework 1 |
due Friday, January 9 |
4.2 #11, 13, 17, 24, 27
4.9 #3, 13, 14, 43, 44, 51, 61, 63, 77
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Homework 2 |
due Friday, January 16 |
Parts 2, 3, 4 of Week 1 Problems
Parts 1, 4, 6, 7 of Week 2 Problems
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| Homework 3 |
due Friday, January 23 |
- 5.4 #15, 27, 30, 36, 41, 44, 47, 57, 60
- 5.5 #65, 66, 73, 81, 86, 87
- 6.1 #20, 25, 26, 27, 50, 51, 53
- Show that the area of the region in the first quadrant bounded
by y=mx, y=2mx and y=1/x, for m>0, is constant (i.e., it does
not depend on m).
- 6.2 #7, 16, 51, 70, 72
- Problem 6 from Week 3 Problems.
In addition to the required problems, the following are recommended:
5.5 #1-70 : they are all good practice, start with the odd ones
6.1 #1-28 : all good, basic practice, start with the odd ones
6.2 #1-18: start with the odd ones
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| Homework 3.5 |
never collected - do these well before the first midterm |
- Problem 4 from Week 3 Problems.
- 6.3 #4, 5, 9, 13, 17, 20, 27, 37-42.
- Something to think about: Suppose f(x) is a positive, decreasing function. Consider the region
in the first quadrant bounded by y=f(x), x=a, x=a+1, and the x-axis. Is it possible the the volume of the solid created by revolving this region about the y-axis is constant (i.e., does not depend on a)? What would f(x) have
to be in order for this to happen?
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| Homework 4 |
due February 6 |
- 6.4 #7, 9, 12, 13, 14, 16, 19, 23, 24
- 6.5 #5, 7, 14, 23
- Problems 3, 4, and 6 from
Week 4 Problems.
- 7.1 #47, 48, 51, 52, 61, 65
In addition to the required problems above, you should also do problems 3-38 of section 7.1. Start
with the odd ones, and do a bunch each day.
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| Homework 5 |
due February 13 |
- Problems 4, 5, and 6 from Week 5 Problems
(though for problem 5, just do sin(Nx) and sin(Mx))
- 7.2 #5, 9, 11, 13, 19, 21, 27
- 7.3 #3, 5, 7, 13, 25, 26, 27, 28, 42
- 7.4 #1, 8, 9, 13, 17, 23, 32, 39, 42, 65
In addition to the required problems above, I also suggest that you
do problems 1-49 from section 7.2, and problems 4-30 from section 7.3. Start with the
odd problems, and do a few each day.
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| Homework 6 |
due February 20 |
- 7.5 #35, 41, 43, 62, 65, 75
- 7.7 #5, 9, 10, 30, 39
- Problem 4 from Week 6 Problems
- 7.8 #5, 7, 9, 13, 19, 23, 29, 64, 69, 70
- Problem 5 from Week 7 Problems
In addition to the required problems above, section 7.5 has a ton of good integrals
of all sorts that are worth practicing.
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| Homework 6.5 |
will not be collected - do these well before the midterm |
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| Homework 7 |
due Friday, March 6 |
- 8.3 #25, 27, 29, 36
- 9.1 #1, 2, 3, 7, 14
- 9.3 #1, 3, 5, 11, 14, 19, 20, 30, 32
In addition to these required problems, the following should be
worked well before the final exam:
- 9.3 #41, 43, 44
- Problems 4, 5 and 6 from Week 9 Problems
- 9.4 is an interesting section you might like to read for more
examples of differential equations applications. Problems 3 and 13 from
that section are good practice.
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