Math 115, Winter 2007
ANNOUNCEMENTS
New office hours
Course outline
Drill Problems (if you do not have time to do all the drill problems do at least problems
listed in the parentheses):
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Section 4.10, No. 1 -- 22 (5, 6, 8, 10, 20, 22)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 5.1, No. 17 -- 21 (19 -- 21)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 5.2, No. 17 --25, 37 -- 40, 43, 45, 47 -- 60
(18, 19, 22, 39, 40, 43, 47, 50, 54, 59)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 5.3, No. 7 -- 25, 28 -- 32, 35, 36, 43 -- 46, 53, 54
(9, 12, 18, 23, 24, 30, 45, 46, 53)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 5.4, No. 1 -- 14, 17 -- 40 (6, 10, 26, 28, 29, 39, 40)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 5.5, No. 1 -- 32, 38 -- 42, 47 -- 50, 29 -- 32
(7, 10, 11, 14, 17, 19, 20, 21, 25, 26, 32, 38, 40, 58)
 
 
 
 
 
 
Sketches of solutions.
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Section 6.1, No. 1 -- 30 (2, 3, 6, 11, 12, 14, 16, 18, 22, 24, 28, 30)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 6.2, No. 1 -- 36 (2, 5 -- 8. 11, 12, 16, 17, 22, 25, 43, 44, 50)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 6.3, No. 3 -- 26, 37 -- 42 (5, 6, 8, 9, 13, 16, 18, 20, 23, 25, 37, 39, 40, 42)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 6.4, No. 1 -- 4, 7 -- 24 (8, 10, 12, 15, 16, 20, 22)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 7.1, No. 3 -- 14, 19 -- 22, 25 -- 30, 33 -- 44
(4, 8 -- 14, 20, 21, 26 -- 29, 34, 36, 40, 42)
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 7.2, No. 7 -- 12, 15 -- 18, 23 -- 44, 61 -- 64, 72 -- 78
(8, 11, 16, 18, 26, 28, 30, 32, 35, 38, 39, 44, 62, 64, 76, 78)
Sketches of solutions.
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Section 7.3, No. 3 -- 18, 23 - 38, 43, 44, 51 -- 67
(3, 5, 7, 10, 12, 14, 15, 27, 28, 30, 34, 36, 38, 44, 54, 56, 60,
63, 66, 67)
Sketches of solutions.
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Section 7.4, No. 2 -- 36, 39 -- 52, 65 -- 76
(2, 3, 4, 7, 8, 10, 11, 12, 19 -- 24, 32, 33, 36, 40, 41, 42,
47 -- 50, 52, 67, 68, 69, 71, 72, 74, 76)
Sketches of solutions.
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Section 10.4, No. 3, 4, 8, 10, 13, 14, 19, 20 (4, 8, 14, 20)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 7.5, No. 1, 3, 5 -- 10, 12 - 14, 18, 22 -- 27, 29 -- 32,
36 -- 40, 43 -- 46, 48, 59 -- 67, 69, 70
(1, 3, 7 -- 10, 13, 18, 22, 24, 26, 36, 40, 44, 45, 46, 48, 61, 62,
64, 65, 70)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 7.6, No. 1 -- 19, 23, 24, 29(a, b), 30 -- 45, 55, 52 -- 63
(2, 4, 7, 12, 16, 23(c, g), 24(b, e), 29(b), 32, 33, 34, 41, 42, 57, 58, 59, 62)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 7.7, No. 1 -- 62 (all odd-numbered problems 7 -- 61)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 8.1, No. 3 -- 32, 51, 52, 55 -- 58 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 8.2, No. 1 -- 18, 20 -- 31, 35 -- 38, 41 -- 43 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 8.3, No. 4 -- 8, 10 -- 18, 20, 23, 26 -- 29 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 8.4, No. 1 -- 48, 56 -- 59 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 8.5, No. 1 -- 80 (every 4-th problem)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 8.7, No. 1, 2, 5 -- 18, 29, 30, 38 (1, 2, 5 -- 10, 29, 30, 38)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 8.8, No. 1, 2, 5 -- 42, 49 -- 54, 57 -- 59 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 9.1, No. 5 -- 20, 31, 37 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 9.2, No. 1 -- 16, 25, 26 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
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Section 10.3, No. 1 -- 20, 39, 40 (7 -- 14, 19, 20, 39, 40)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
Solutions of quiz problems: