中央大學數學系‧微積分聯合教學
104學年暑期先修班
                                   

建 議 習 題

以下習題之章節題號乃是根據以下教科書:

Thomas' calculus 12th edition
課本內各章節都有許多習題,以下是本課程建議要做的習題,其中某些題目列為作業。 同學們至少要做這些習題,其他題目當然是多多益善。 小考題目原則上出自於課文內的例題和以下建議的習題。

章節題號
Chapter 1
1.1  3, 5, 7, 13, 17, 19, 25, 27, 29, 31, 41, 45, 53, 55, 57, 63, 71, *72a.
1.2  1, 3, 5, 7, 13, 15, 23, 55, 67, 69, 70, 75.
1.3  7, 9, {17, 19, 21 find the period, do not graph}, 31, 33, 47, 49, 51, 53, *57, *61.
Additionals (end of chapter)  5, *17, *18.
Chapter 2
2.1 
2.2  1, 3, 5, 13, 19, 23, 27, 31, 33, 37, 41, 45, 51, 53, *65a, *77, 79, *80.
2.3  15, 17, 21, 29, 33, 39, 41, 49, *57.
2.4  1, 3, 5, 15, 17, 21, 27, 29, 33, 35, 45, 46.
2.5  1, 3, 5, 15, 21, 23, 29, 37, 41, 43, 53, *59, *60,*61, *62, *63.
2.6  3, 7, 9, 11, 13, 15, 19, 25, 29, 31, 33, 35, 39, 43, 53, 57, 69, 71, 81, 83, 85, 95, 99, 101.
Additionals (end of chapter)  *17, *18a,b.
Chapter 3
3.1  5, 9, 13, 21, 33.
3.2  3, 7, 9, 11, 13, 25, 27, 29, 45, 47, 57, *58.
3.3  5, 11, 13, 17, 21, 27, 37, *43, *47, *48, 51, *52, 55, 56, 57, *58.
3.4 
3.5  3, 5, 9, 11, 45, 47, 49, 51, *57, 59.
3.6  3, 5, 7, 11, 15, 17, 27, 35, 37, 39, 47, *72, 73, 77.
3.7  3, 5, 7, 9, 13, 21, 23, 25, 31, 39, 45, 47.
3.8  7, 9, 11, 17, 23, 25, 29, 33, 39, 43.
3.9  3, 5, 9, 11, 13, 15, 29, 33, 41, 43, 47.
Additionals (end of chapter)  *3, *16, *23, *24.
Chapter 4
4.1  1, 3, 5, 7, 9, 23, 29, 35, 55, 57, 67, *68.
4.2  3, 5, 7, 9, 13, 17, 21, 25, 33, 35, 51, 61, 63, *64.
4.3  3, 5, 7, 11, 31, 35, 39, 49a,b, 65, 67.
4.4  5, 7, 21, 29, 33, 45, 53, 55, 61, 73, 77, 79, 85, 94.
4.5  11, 15, *25, 26, 29, 31, 35, *39, *67a.
4.6 
4.7  1, 5, 9, 13, 15, 21, 23, 43, 47, 49, 61, 67, 83, 89, 93.
Additionals (end of chapter)  7, *24.
Chapter 5
5.1  1, 3, 7.
5.2  5, 7, 9, 15, 23.
5.3  3, 7, 9, 13, 19, 71, 73.
5.4  3, 7, 13, 15, 19, 25, 29, 31, 33, 39, 45, 47, 62, 65.
5.5  1, 5, 7, 19, 25, 29, 31, 39, 40, 41, 42, 44, 47, 49, 63.
5.6  3a, 7a, 13a, 25, 31, 33, 35, 45, 47, 79, 84, *87.
Additionals (end of chapter)  5, *19, 25.
Chapter 6
6.1  1, 3, 5, 17, 19, 25, 33, 47, 51, 53, 59.
6.2  1, 5, 13, 25, 27, 29, 33, 39.
6.3  5, 7, 9, 19, 27.
6.4  3a, 5a, 7a, 9, 15, 17, 19, 29.
Additionals (end of chapter) 
Chapter 7
7.1  1, 3, 5, 9, 11, 15, 27, 31, 33, 35a,c, 41, 43, 57.
7.2  1, 7, 13, 19, 21, 27, 37, 39, 41, 43, 59, 61, 65.
7.3  1, 3, 11, 15, 21, 23, 29, 37, 41, 47, 49, 87, 91, 105, 111, 115, 117, 121.
7.4 
7.5  1, 5, 11, 13, 15, 19, 21, 27, 43, 47, *48, *50, 51, 53, 55, 57, 59, 63, 67, 69, 73, 77, 85, 88.
7.6  1, 3, 7, 9, 11, 13, 15, 21, 27, 33, 35, 41, 45, 47, 49, 53, 59, 63, 75, 85, 95, 97, *107.
7.7  1, 5, 9, 11, 15, 17, 21, 23, 29, 31, 37, 39, 45, 49, 53, 57, 67, 71, 73, 79, 85.
7.8  1, 3, 5, 7, 8, 21a.
Additionals (end of chapter)  5.
Chapter 8
8.1  1, 5, 9, 15, 23, 25, 29, 33, 37, 41, 45, 61, *65, 67, 71.
8.2  3, 11, 17, 19, 21, 23, 25, 29, 31, 35, 37, 41, 59, 63, 67.
8.3  1, 3, 5, 9, 13, 17, 23, 29, 35, 43, 45, 47, 57.
8.4  11, 13, 17, 19, 21, 23, 27, 31, 33, 35, 41, 43, 45, 46, 47, 49.
8.5 
8.6 
8.7  1, 3, 5, 9, 15, 19, 21, 27, 37, 45, 51, 53, 57, 61, *75b.
Additionals (end of chapter)  *27, *29, 41, 45, 47, 49 The method u = tan(x/2).

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Created: July 23 2013
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