中央大學數學系‧微積分聯合教學
106學年度第一學期
                                   

建 議 習 題

以下習題之章節題號乃是根據以下教科書:

Larson-Edwards-Shann Calculus ISBN-13:978-1-305-01307-0
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。"Optional" 問題也許會成為考試加分題。

章節題號
Chapter P
P.1  7,9,10,13,19,21,27,31,35,37,43,51,59,77,78,79
P.2  1,3,5,11,15,19,27,57,67,73
P.3  1,7,9,11,15,17,19,28,29,31,47,49,51,53,55,56,57,58,59,60,62,63, 64,65,67,69,71,73,79,81,85,86,91,92,97,101,103. Optional: 111.
P.4 
Chapter 1
1.1 
1.2  1,3,4,6,17,19,20,21,23,25,39,43,47,64,67,69,70.
1.3  5,11,13,21,27,31,37,39,49,52,53,55,57,59,65,67,70,72,74,105,117,120, 124a),P.94#6. Optional: 110,112,113,122.
1.4  2,3,6,9,13,17,19,35,49,51,61,65,83,119. Optional: 114.
1.5  1,2,5,7,15,17,19,21,29,31,37,40,45,65,66,68,69. Optional:71,72,73.
Problem Solving  Optional: P.93 #6, Exercise modification 8.
Chapter 2
2.1  7,9, 17, 19, 21, 23, 36,37, 47, 49, 51,76,77,79, 87, 90, 97.
2.2  13,15,21, 41,43,49,51,52, 57,58, 79, 87,88,89,92, 111, 113, 115, 117.
2.3  3,5,7,9,13,15,17,28,29,30,39,43,47,53, 95,97, 129,130,132,135.
2.4  2,3,5,9,13,19,29,31,33,45,49,53,61,63,69,71,117.
2.5  5,7,9,11,13,19,23,26,31,32,39,45,47,71,74.
2.6  5,7, From #11 onward, you should think of the given rate is only at the moment of interest: 11,21,24,29,39.
Problem Solving  Optional: P.159 #1,2,3,12,13.
Chapter 3
3.1  13,15, 21,25,29,39,40, 63,68.
3.2  4, 55, 65, 77, 81, 83, 85.
3.3  5,7, 11, 15, 21,27,31,35,37,39.
3.4  1,5,7,11,13,17,21,23,29,37,41,51,55,61,77,78.
3.5  1,2,3,4,5,6, 13,15,17,31,38,43,45,47,97,102,103.
3.6  1,2,3,4,7,9,11,13,15,18.
3.7  17,19,33,34, P.242 #16,18.
3.8 
3.9  15,17,19,27,36,37,39.
Problem Solving 
Chapter 4
4.1  15,17,21,25,27, 37,39,41.
4.2  4,7,11,17,19, 27,29, 41, 42, 51,53.
4.3  1,7, 9,11,37,39,41,77.
4.4  11,17,23,25,29, 35,37,67,69,73, 84, 86, 89, 90,91, 105,107, 111,113, 114.
4.5  9,13,15,37, 40,41, 47,49,51,53, 57,59,61,89, 96.
4.6 
Problem Solving  Optional: P.315 #9, 10,11, 14.
Chapter 5
5.1  12,16,43,47,49,55,59,61,63, 73,75, 81,83, 91,93.
5.2  5,7,9,11,15,21,23,37,39, 51, 53, 91, 105,106. Optional: 107.
5.3  3a),7a),8a), 23,25, 41,45,46, 65, 69, 92, 101, 103. Optional: 94,99.
5.4  25,26,27,28,35,39,41,49,51,53,59,61,63,65, 93,95, 99,103,104,107, 113,118.
5.5  39,45,53, 63,65, 67,69, 75,77,79,81, 117, 121.
5.6  7,9, 15,19, 21,23, 25,29,31, 37, 41,43,47,49,53,55,57, 77,79. Optional: 103.
5.7  5,7,9,11,13,15,17,19, 27,29,31,33,37, 43,45,46.
5.8 
Problem Solving  Optional: P.396 #13,14.
Chapter 6
6.1 
6.2 
6.3 
6.4 
Problem Solving 
Chapter 7
7.1  17,25,29,41, Optional: 87
7.2  11, 14, 17, 21, 27, 29, 72ab, 72cd. Optional: 76.
7.3  9,17,27,29,31.
7.4  9,11,14, 37,41,43,45.
7.5 
7.6 
7.7 
Problem Solving  Optional: P.505 #4
Chapter 8
8.1  1,3, 7,21,23,31,33,34,35,37,38,44,45,59,61,78.
8.2  7,9,15,17,19,21,25,27,46,47,55,57,63.
8.3  1,5,7,10,11,20,25,26,29,31, 41,45,53,55,62,86.
8.4  5,9,13,21,23,25,31,33,37,39,48.
8.5  13,15,19,21,22,23, 30,32,33,34.
8.6 
8.7  13,15,18,19,21,27,33,39,41,43b),45b),47b),49b),51b),55b),57b),59b),101,102,103. Optional: 114.
8.8  1,5,17,19,23,25,27,41,43,49,50,59,60,61. Optional: 91c).
Problem Solving 

[ 中央大學微積分聯合教學網 ]

Created: Seg 2, 2017
Last Revised: