2018年度 微分積分学I
担当：佐々木格
テキスト: Thomas' Calculus in SI Units(13th Edition),
出版：Pearson Education, 2016年, ISBN-10: 1292089792
案内
宿題
1回目の講義の宿題
- Exercises 1.1:
1, 3, 5, 7, 21, 22, 24, 60, 62, 63
- Exercises 1.2:
2, 3, 17
2回目の講義の宿題
- Exercises 2.1:
1, 4, 12, 16
- Exercises 2.2:
1, 17, 20, 32, 39, 43, 47, 65, 80
3回目の講義の宿題
- Exercises 2.3:
31, 36, 49, 56
- Exercises 2.4:
18, 19, 36
- Exercises 2.5:
31, 32
- Exercises 2.6:
13, 16, 28, 34, 84
4回目の講義の宿題
- Exercises 3.2:
58
- Exercises 3.3:
60
- Exercises 3.6:
14, 15, 87, 88
- Exercises 3.7:
3, 4
- Exercises 3.8:
34, 35
5回目の講義の宿題
- Exercises 4.1:
55, 68
- Exercises 4.5:
12, 59, 60
6回目の講義の宿題
- Exercises 4.6:
5, 6, 10
- Exercises 4.7:
69, 70, 73, 74, 83, 98, 99
7回目の講義の宿題
- Exercises 5.1:
11
- Exercises 5.3:
9, 20, 22
- Exercises 5.4:
65
- Exercises 5.5:
4, 14, 61, 62
8回目の講義の宿題
中間試験のため無し。
9回目の講義の宿題
- Exercises 6.1:
10, 11, 18, 33, 57 (Volumes using cross-sections, 断面積を使った体積)
- Exercises 6.2:
1, 4, 6 (Volumes using cylindrical shells, 円筒を使った体積)
- Exercises 6.3:
16, 17, 18, 22 (Arc length, 弧長)
- Exercises 6.4:
13, 16 (Areas of surfaces of revolution, 回転体の表面積)
- Exercises 6.5:
29 (Drinking a milkshake, ミルクシェークの飲み方)
- Exercises 7.6:
21, 27, 31, 34, 44, 45, 50, 65, 79, 103, 109
(Inverse trigonometric functions, 三角関数の逆関数)
10回目の講義の宿題
- Exercises 8.7:
5, 24, 25, 31 (Numerical integration, 数値積分)
11回目の講義の宿題
- Exercises 8.8:
7, 21, 25, 34, 78 (Improper integral, 広義積分)
- Exercises 9.1:
1, 2, 3, 4, 9, 17 (Differential equations, 微分方程式)
12回目の講義の宿題
- Exercises 9.2:
1, 2, 3, 15, 16, 26 (Linear differential equations, 線形微分方程式)
- Exercises 7.5:
16, 30 (L'Hôpital's theorem, ロピタルの定理)
- Exercises 10.3:
11〜30 (Convergence of inifinite series, 無限級数の収束)
13回目の講義の宿題
14回目の講義の宿題
- Exercises 10.4:
1, 6 (Comparison test, 比較テスト)
- Exercises 10.5:
1, 4, 6, 11, 14, 15 (Comparison test, 比較テスト)
- Exercises 10.7:
3 (Radius of convergence, 収束半径)
- Exercises 10.8:
4 (Taylor polynomials, テイラー多項式の計算)
- Exercises 10.9:
11, 17, 19, 24, 25 (Taylor series, テイラー級数の計算)
15回目の講義の宿題