課 程 介 紹
課程名稱：微積分(二)
開設班級；數學系大學部一年級（必修）
課程時間：星期一的5、6 節 星期三的 3、4 節
授課教師：陳若淳 辦公室：數學系館 405
Email：rchen@mail.ncku.edu.tw 電話：2757575-65157
預備知識：單變數微積分(指定教科書中的第二章到第十章)。
指定教科書：“Calculus- One and Several Variables” (Ninth edition) by Salas, Hille and Etgen。
成績計算方式：期中考佔40%，期末考佔 45%，平時成績(小考)佔 15%。
課程內容：
這是一個學年介紹應用微積分的課程。我們除了注重實際例子的計算和應用，並 會藉由一些定理的證明來學習數理邏輯推導之語言。
上課方式：
上課將以講授課程內容為主，其餘時間將用來解習題或小考。
習題建議：
§2.1. 2, 4, 8, 12, 28, 30, 34, 40, 42, 45, 46, 48, 50
§2.2. 3, 6, 7, 9-15, 18, 19, 21, 22, 24, 30, 32, 33, 37, 39, 45, 46, 49, 50, 51, 54, 56 §2.3. 1, 11, 17, 19, 21, 23, 27, 29, 31, 37, 39, 41, 43, 45-49, 51, 55
§2.4. 1, 5, 9, 13, 17, 21, 27, 29, 31, 35, 39, 47-50, 52, 53 §2.5. 3, 7, 11, 13, 15, 17, 21, 23, 25, 31, 39, 41, 43, 44, 47, 48 §2.6. 3, 6, 11, 13, 31, 33, 35, 37, 39, 42, 44
§3.1. 5, 9, 15, 21, 27, 31, 33, 35, 47, 59, 61, 64, 65, 67, 68 §3.2. 4, 11, 12, 17, 19, 25, 33, 37, 47, 51, 53, 56, 58, 64 §3.3. 9, 19, 30, 33, 41, 43, 50, 52, 53, 62
§3.4. 3, 5, 9, 13, 19, 21, 23, 37, 39, 53, 65
§3.5. 5, 11, 21, 23, 25, 31, 35, 39, 45, 47, 49, 61, 65, 67, 71 §3.6. 1, 3, 7, 17, 19, 23, 25, 29, 31, 39, 55, 63, 67, 75 §3.7. 3, 5, 7, 13, 17, 23, 29, 31, 37, 40, 43, 49, 58 §3.8. 1, 3, 5, 6, 8, 11, 17, 37, 39
§3.9. 13, 15, 38, 39
§4.1. 4, 9, 15, 21, 23, 29, 38, 33, 35, 37, 40, 42 §4.2. 3, 5, 11, 15, 23, 27, 31, 33, 39, 47, 55, 59, 60
§4.3. 1, 5, 7, 9, 11, 15, 19, 25, 27, 29, 33, 35, 39 §4.4. 3, 7, 11, 13, 15, 19, 21, 25, 27, 33, 39, 42, 45 §4.5. 1, 3, 5, 7, 11, 13, 15, 19, 23, 33, 39, 41, 43 §4.6. 1, 5, 7, 13, 17, 19, 23, 29, 35, 42, 43, 48
§4.7. 1, 3, 7, 11, 15, 19, 22, 25, 33, 35, 41, 43, 48, 51 §4.8. 3, 7, 9, 13, 17, 27, 33, 51, 53, 56
§5.2. 1, 5, 7, 9, 11, 13, 15, 17, 21, 22, 27-32, 41, 47, 48 §5.3. 1, 5, 7, 9, 13, 15, 17, 19, 27, 30
§5.4. 1, 5, 9, 11, 13, 15, 17, 19, 25, 33, 35, 39, 41, 45, 51, 53, 55, 58, 61, 63 §5.5. 3, 5, 9, 13, 15, 25, 27
§5.6. 1, 5, 7, 9, 11, 13, 15, 19, 23, 25, 29, 35, 37, 39
§5.7. 3, 5, 9, 13, 15, 25, 27, 29, 35, 41, 45, 55, 61, 65, 67, 75 §5.8. 1-17, 20, 22, 24, 25, 32, 35, 36
§5.9. 3, 5, 7, 13, 15, 17, 19
§6.1. 1, 3, 7, 11, 15, 17, 27, 33, 35, 45 §6.2. 3, 5, 7, 11, 17, 19, 23, 27, 55, 57 §6.3. 3, 7, 11, 15, 17, 23, 33, 35, 43 §6.4. 3, 5, 11, 17, 25, 27
§7.1. 9, 21, 22, 23, 30, 37, 39, 41, 43, 46-49, 51, 54 §7.2. 3, 15, 21, 23-25
§7.3. 9, 11, 23, 25, 31, 32, 34, 44-46 §7.4. 11, 17, 23, 31, 39, 41, 45, 48, 72 §7.5. 11, 15, 25, 27, 29, 33, 35, 59, 65 §7.6. 5, 7, 35
§7.7. 5, 9, 15, 17, 21, 23, 45, 48, 58, 61 §7.8. 1, 5, 35
§8.1. 7, 11, 25, 37
§8.2. 7, 9, 23, 25, 29, 33, 37, 38 §8.3. 2, 7, 8, 13, 15, 12, 18 §8.4. 1, 3, 5, 7, 9, 11, 38 §8.5. 7, 11, 13, 23, 29, 31, 33
§8.6. 1, 5, 7, 9, 13, 17, 21, 25, 29, 33, 38, 39, 43 §8.7. 7, 9, 10, 11, 12
§9.3. 7, 11, 19, 30, 33, 39, 41
§9.5. 5, 11, 15, 21, 23, 25, 31
§9.6. 1, 3, 7, 14, 16, 17, 19, 23, 25, 29
§9.7. 3, 5, 7, 13, 17, 19, 22, 23, 27, 33, 38
§9.8. 1, 3, 5, 6, 8, 11, 17, 20, 25, 31
§9.9. 3, 5, 9, 13, 15, 17
§10.1. 4, 9, 15, 21, 23
§10.2. 3, 5, 11, 15, 23, 27, 31, 33, 35, 45
§10.3. 1, 5, 7, 9, 11, 15, 19, 25, 27, 29, 33
§10.4. 3, 7, 11, 13, 15, 19, 27, 31, 34, 37, 39, 43, 45
§10.5. 1, 3, 5, 7, 11, 13, 15, 19, 23, 24, 26, 29, 31, 33
§10.6. 1, 5, 7, 13, 17, 19, 23, 29, 35, 37, 41, 45, 49
§10.7. 1, 3, 7, 11, 15, 19, 25, 29, 34
§11.1. 1, 7, 11, 15, 17
§11.2. 1, 5, 7, 9, 11, 13, 15, 17, 21, 27
§11.3. 1, 5, 7, 9, 13, 17, 19, 25, 27, 35, 37, 39
§11.4. 3, 5, 9, 13, 15, 25, 27
§11.5. 1, 5, 7, 11, 13, 25, 29, 35, 37, 39
§11.6. 1, 5, 9, 11, 15, 17, 19, 24, 25
§11.7. 3, 5, 9, 13, 15, 25, 27, 29, 35
§11.8. 1, 7, 9, 13, 17, 19, 23, 26, 35, 37
§13.1. 1, 3, 7, 11, 15, 17, 21, 22, 27, 31, 51, 55, 57
§13.2. 3, 5, 7, 11, 17, 19, 23, 24, 25, 29, 31, 33
§13.3. 7, 15, 23, 35, 45, 46
§13.4. 3, 5, 11, 17, 19, 23
§13.5. 5, 7, 13, 15, 19, 23, 26, 29, 33, 41, 45, 50, 51, 58
§13.6. 1, 5, 7, 13, 17
§14.1. 9, 21, 22, 23, 30, 37
§14.2. 3, 15, 21, 23, 35, 38
§14.3. 9, 11, 23, 25, 28, 29
§14.4. 11, 17, 23, 31, 39, 41, 45
§14.5. 1, 3, 5, 9, 11, 16, 19, 20
§14.6. 5, 9, 13, 15, 17, 20, 21, 23, 24, 25, 29, 31
§15.1. 7, 11, 16, 25, 41, 42, 43
§15.2. 7, 9, 23, 25, 39, 41, 43, 44, 45
§15.3. 7, 8, 13, 15, 18, 23, 29, 30, 36, 37, 43, 44, 45, 46, 48, 51, 58
§15.4. 1, 3, 5, 7, 9, 11, 22
§15.5. 7, 11, 13, 16, 18, 23, 29, 33
§15.6. 1, 5, 7, 9, 13, 17, 21, 25, 29, 33
§15.7. 7, 9, 10, 11, 12
§15.8. 1, 3, 5, 6, 8, 11, 17, 20, 25
§15.9. 1, 5, 6, 8, 9, 10, 14, 16, 17, 20, 23, 26, 31
§16.1. 2, 4, 8, 12
§16.2. 1, 9, 11, 13, 17, 18, 19, 21
§16.3. 1, 11, 17, 19, 21, 29, 31, 37, 41, 59, 61
§16.4. 1, 5, 9, 13, 17, 21, 27, 29, 31
§16.5. 1, 4, 11, 12, 18
§16.6. 3, 6
§16.7. 3, 5, 7, 13, 23, 27, 32, 36, 50--54
§16.8. 1, 3, 5, 6, 8, 11, 17, 20, 25
§16.9. 3, 5, 9, 13, 15, 17, 21
§16.10. 3, 11, 17, 25, 25, 26, 30
§17.1. 1, 3, 7, 21, 25, 28
§17.2. 1, 3, 8, 13, 15, 17, 25, 28
§17.4. 1, 2, 3, 13, 15, 17, 18, 27, 33
§17.5. 1, 3, 7, 13, 17, 21, 22, 27, 31, 32
§17.6. 1, 3, 5, 7, 21, 25
§17.7. 1, 3, 7, 9, 11, 17, 21, 25
§17.8. 3, 7, 9, 21, 22, 32, 33
§17.9. 3, 7, 9, 21
§17.10. 1, 7, 11
微積分學習資源 微積分助教: 黃家瑋
微積分討論網站: http://moonstone.math.ncku.edu.tw/phpBB/index.php
