These problems are a minimum list. If you do more, especially of the later problems in each section, you will know calculus much better.
Chapter | Section | Problems |
1 (review of integration) | ||
1, 7 (review of areas) | ||
11, 33 (review of volumes) | ||
5, 11 (review of volumes) | ||
1 (review of averaging and integration) | ||
2, 4, 10, 12, 14, 19, 20, 22, 26, 30, 33, 35, 36, 39, 43, 44 | ||
7, 9, 10, 17, 25, 29, 30, 33, 34, 37-39, 43, 47, 49, 51, 71, 72, 75, 77, 82 | ||
3, 4, 7-10, 16, 26, 27, 31-33, 35, 37, 51, 54, 57, 60, 61, 64, 68, 69, 72 | ||
2, 3, 5, 7-10, 15, 22, 23, 25, 30, 33-35, 39, 43, 50, 51, 59, 62, 67-69, 75-77 | ||
1, 4, 7, 8, 12, 13, 18, 22, 23, 25, 28, 31, 37, 44, 45, 47, 49, 50, 57, 60-63, 65, 69, 72 | ||
3, 7, 17, 23(a,d), 29(a,d), 33, 37, 55, 57 (important for engineering and physics majors, but you will not be tested on this section) | ||
1, 5, 7-12, 15, 17-19, 22, 27, 30, 33, 34, 39, 42, 47, 50, 52, 57, 58, 65, 91, 97(a) | ||
2, 6, 9, 12, 15, 16, 18, 21, 23, 25, 26, 29, 37, 38, 42, 46, 48, 52, 55 | ||
1, 5-9, 15, 17, 24, 28, 32, 35, 41, 42, 52, 57 | ||
1-3, 4-12 even, 16, 19, 23, 24, 27 | ||
3, 5, 10, 13, 15, 19, 21, 25, 26, 29, 35, 39, 40, 43, 46, 49, 62 | ||
Read this - it has good advice. 3, 7, 13, 17, 18, 21, 23, 31, 37, 43, 44, 49, 51, 59, 61, 69, 72 | ||
Read `Tables of Integrals.' | ||
6, 15, 19, 22, 24, 28, 34 | ||
3, 4, 8, 14, 17, 21, 24, 34, 39, 41, 49, 54, 56, 57, 61, 63, 77 | ||
2, 3, 6-9, 11, 20, 33, 37, 39 | ||
1, 4, 5, 7, 9, 15, 16, 27, 36 | ||
2, 4, 5, 7, 9 | ||
1, 3, 9, 11, 21 | ||
1, 3, 4, 7-9, 12, 16, 31, 34 | ||
2, 4, 8, 13, 17, 18 | ||
4, 6, 10, 12, 14, 16, 19, 21, 22, 24, 27, 34, 36, 37, 49, 50, 54, 56, 62 | ||
12, 13, 16, 19, 26, 27, 29, 32, 36, 39, 41, 42, 53, 56, 60, 63 | ||
4, 8, 10, 22, 24, 26, 27, 30 | ||
4, 6, 10, 17, 23, 24, 28, 30, 35, 37, 38, 45 | ||
3, 4, 8, 14, 16, 24, 27, 31, 32, 35 | ||
2-20 even, 23, 25, 27, 33-35 | ||
Read this - it has good advice. 1, 3, 6, 9, 10, 13, 16, 18, 21, 25, 27, 29, 34, 35 | ||
4, 6, 8, 9, 13, 14, 18, 20, 24, 29, 30, 38 | ||
1, 4, 5, 10, 12, 13, 18, 19, 26, 32 | ||
3, 4, 6, 13-15, 17, 18, 22, 24, 25, 28, 29, 38, 40, 42, 54-56 | ||
2, 6, 8, 11, 14, 18 | ||
2, 4, 6, 13, 16, 19(a,b), 21, 24, 28, 29, 31 | ||
2, 3, 6, 8, 11, 18, 19, 22(a,d) | ||
3, 5, 8, 18, 21, 28, 31-33, 35 | ||
2, 8, 14, 15, 18, 21, 24, 30 | ||
2, 4, 6, 10, 13, 14, 16, 18, 22, 24, 29, 36-38, 40, 45, 47, 55, 56(a,c,d), 60, 68 | ||
2, 8, 12, 20, 26, 30, 35, 40, 42, 47, 49 | ||
2, 10, 12, 18, 20, 26, 34, 38, 45; 48 and 49 are especially interesting. |
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