Daily Problem Sets

During the summer, with new material being introduced everyday, it is imperative that you do your very best to keep up. Many of the concepts introduced will be new and completely unfamiliar to you; especially the calculus of vector-valued functions. For this reason it is important that you attempt as many of these problems as you can each day. The first 30 or so problems in each section are, for the most part, rote computations. I've listed a sampling of these problems that, at a minimum, you should do. Doing these should help you gain some feel for the objects we are going to be working with. The later problems in each section are more theoretical and/or involved and I've singled out the ones representative of what I think is important. Again, I cannot underestimate the importance of keeping up.

Day Date Section Page and Problems
1 May 17 12.1 713 #1, 4, 6, 7, 11, 12, 13, 17, 20, 23, 27, 29, 31, 35, 38, 50, 52
    12.2 723 #1, 2, 5, 7, 8, 11, 19, 22, 23, 25, 31, 32, 33, 35, 38, 39, 42, 43, 47, 53, 61, 62, 65
2 May 18 12.1,2 Finish problems from Sections 12.1 and 12.2
    12.3 732 #1, 2, 3, 5, 7, 9, 10, 11, 12, 15, 18, 19, 21, 23, 32, 33
3 May 21 12.4 740 #2, 3, 7, 9, 12, 14, 15, 17, 19, 21, 24, 25, 27, 29, 30, 32, 33, 37, 40, 44, 52, 53, 56, 60, 62, 66
4 May 22 10.4 592 #1, 5, 7, 9, 14, 16, 18, 26
    12.5 753 #1, 2, 3, 4, 5, 6, 9, 11, 14, 17, 18, 20, 21, 24, 25, 28, 31, 33, 35, 36, 42, 49, 54, 55, 56, 57
5 May 23 12.6 770 #1, 2, 6, 7, 9, 10, 11, 21, 23, 34, 47, 49, 50, 53, 54, 55
6* May 24 12.7 782 #1, 3, 7, 9, 13, 15, 21, 22, 25, 28, 29, 30, 43, 50, 51, 52, 53, 54
7* May 25 13.2 803 #3, 7, 11, 12, 14, 15, 25, 27, 29, 32, 33, 34, 37, 39, 41, 43, 44, 53, 54, 55, 56, 57, 58
    13.3 811 #1, 5, 10, 11, 13, 14, 17, 18, 24, 27, 30, 37, 38, 39, 40, 43, 45, 51
8 May 28 13.4 820 #1, 3, 4, 5, 6, 7, 19, 22, 31, 35, 41, 43, 13 and 53, 55, 57a, 57c, 58a, 58c, 73
9 May 29 13.5 831 #1, 2, 9, 12, 18, 23, 25, 26, 27, 28, 32, 38
    13.10 879 #1, 2, 3, 7, 8, 14, 15, 20, 23
10 May 30 13.7 851 #3, 7, 9, 10, 13, 14, 15, 19, 25, 28, 36, 40, 43, 45
11 May 31 13.8 861 #2, 3, 6, 8, 11, 14, 17, 19, 25, 26, 30, 33, 35, 36, 37, 39, 40, 44
12 June 1 13.9 870 #5, 10, 14, 15, 24, 30, 36
13 June 4   Test I
14 June 5 14.1 891 #3, 15, 11, 12, 17, 19, 24, 30, 31, 32, 34
    14.2 898 #1, 3, 4, 5, 11, 12, 15, 16, 18, 22, 23, 27, 30, 31, 41, 42
15 June 6 14.3 903 #1, 3, 7, 11, 13, 16, 18, 22*, 24, 28*, 30*, 37
16 June 7 10.2 578 #1, 2 (r>0 only), 3, 6, 7, 8, 9, 11, 21, 24, 25, 39, 41, 42, 53, 56
    14.4 911 #1, 2, 6, 10, 12, 13, 14, 15, 18, 23, 28, 29, 34, 38
17 June 8 14.6 930 #1, 2, 3, 6*, 8, 10, 11, 12, 14, 17
18 June 11 12.8 789 #1, 9, 15, 17, 23, 26, 27, 29, 30, 31, 33, 39, 40, 44, 55
    13.7 853 #59
    14.7 938 #1, 3, 5, 10, 13, 14, 15, 29, 37, 38
19* June 12 14.8 945 #1, 2, 3, 7, 13, 15, 17, 18
20* June 13 15.1 964 #1, 2, 3, 6, 9, 10, 11, 12, 15, 17, 18, 20, 21, 28, 32, 35, 37, 38, 40
21 June 14 15.2 974 #1, 2, 3, 4, 5, 6, 10, 11, 12, 14, 16, 17, 18, 34, 36
22 June 15 15.3 982 #1, 4, 9, 11, 14, 24, 26, 27, 28, 29, 30, 32, 35
23 June 18   Test II
24 June 19 15.4 991 #2, 3, 8, 9, 15, 16, 18, 22, 36, 38
25 June 20 15.5 1001 #1, 2, 3, 4, 5, 6, 10, 14, 15, 18, 23
26* June 21 15.6 1009 #1, 2, 3, 4, 6, 7, 8, 11, 12, 15, 16, 17, 18, 19
27 June 22 15.7 1017 #1, 2, 5, 8, 10, 13, 14, 16, 17
28 June 25   Review
29 June 27   Final Exam
* Only set up these integrals. Do not evaluate.

Notes and Comments

Day 6
This section would best be done in front of a computer running Maple. It may be helpful to compare your hand-drawn graphics to (the possibly more accurate!) drawn-to-scale computer-generated graphics. If you have time, try plotting most of the equations in #1 - #30 and #55 - #72. However, you should be able to do #50 - #54 by hand. You will need to be able to compute such things later on when we integrate.

Day 7
Section 13.3 Problems #47, 48, 49, 50 would be good to do if you are using Maple. Also read problem #55 on page 755. What about $\displaystyle\lim_{t \to a} (\mathbf{u} \times \mathbf{v})$?

Day 19
Section 14.7 Problems #25, 26, 27, 28 would be good to do if you are using Maple

Day 20
It would be valuable to read problems #25 - #44 and think about how you would do them.

Day 26
Problems #18 and #19 will be important if you are an engineer.


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Michael Kozdron
5/6/2001