課 程 介 紹
課程名稱：微積分
開設班級；系大學部一年級甲班（必修）
課程時間：星期一 15:10-17:00; 星期四 9:10-11:00 教室：航太系館 5834
授課教師：林牛
辦公室：數學系館 312
Email：nlam@mail.ncku.edu.tw 電話：2757575-65140
預備知識：高中數學。
指定教科書：“Calculus- One and several variables”(Ninth edition) by Salas, Hille and Etgen。
成績計算方式：期中考各佔 40%，期末考佔 45%，平時成績佔 15%。
考試時間：期中考 11 月 17 日 9:10--11:00。
課程內容：
這是一個學年介紹應用微積分的課程。主要是針對工學院的學生，我們將 注重實際例子的計算和應用，並有一些定理的證明。詳細內容請見指定教 材的目錄。上學期我們教授單變數微積分。即指定教材第二章到第八章、
第十章及第十一章的部份。
上課方式：
上課將以講授課程內容為主，每兩星期將有一堂課作為習題的演練以或小 考。
建議習題：
§2.1. 2, 4, 8, 12, 28, 30, 40, 42, 48
§2.2. 3, 6, 9, 10, 11, 18, 21, 23, 30, 37
§2.3. 1, 11, 17, 19, 21, 23, 27, 29, 31, 37, 39, 41
§2.4. 1, 5, 9, 13, 17, 21, 31, 35
§2.5. 3, 7, 11, 13, 15, 17, 21, 23, 25, 31
§2.6. 3, 11, 13
§3.1. 5, 9, 15,19, 21, 27, 38, 47
§3.2. 4, 9, 11, 15, 17, 19, 33, 37
§3.3. 9, 19, 30, 33, 41
§3.4. 3, 5, 8, 13, 23
§3.5. 5, 11, 23, 25, 27, 35, 43, 44, 45, 46, 49
§3.6. 7, 11, 17, 19, 23, 29, 35, 39, 55, 75
§3.7. 5, 7, 9, 15, 17, 19, 23, 31, 35, 40
§3.8. 5, 10, 13, 17
§3.9. 1, 3, 7, 17
§4.1. 3, 7, 13, 15, 21, 23, 27, 36
§4.2. 7, 9, 17, 23, 31, 33, 39, 47
§4.3. 5, 9, 13, 15, 19, 24, 33, 39
§4.4. 3, 7, 11, 13, 15, 19, 21, 25, 27, 33
§4.5. 5, 7, 11, 13, 17, 19, 23, 33, 36
§4.6. 1, 5, 7, 13, 21, 23, 29, 35
§4.7. 5, 7, 11, 15, 19, 41
§4.8. 5, 11, 13, 17, 27, 29, 53
§5.2. 1, 7, 11, 15, 17, 21
§5.3. 1, 3, 5, 7, 9, 11, 17, 19, 21, 23, 24, 25, 27
§5.4. 9, 13, 15, 17, 19, 27, 33, 37, 39, 41, 47, 53
§5.5. 7, 13, 15, 17, 25, 27
§5.6. 5, 11, 13, 15, 19, 23, 25, 27
§5.7. 1, 5, 9, 11, 13, 15, 17, 19, 25, 33, 35, 39, 41, 45, 51, 53, 61
§5.8. 3, 17, 18, 19, 21, 23, 25, 27, 33, 35, 37, 39
§5.9. 5, 7, 11, 13, 17
§6.1. 5, 7, 9, 17, 19, 21, 27, 33, 35, 45
§6.2. 7, 11, 17, 19, 23, 27, 55, 57
§6.3. 7, 11, 15, 17, 23, 33, 35
§7.1. 7, 9, 21, 22, 23, 30, 37, 41, 43, 47
§7.2. 3, 15, 21, 23, 24, 25
§7.3. 9, 11, 23, 25, 29, 31, 33, 35, 43, 51, 59
§7.4. 11, 17, 23, 31, 39, 41, 45, 49, 51
§7.5. 3, 7, 11, 15, 21, 25, 27, 29, 33, 35, 39, 47, 49, 59, 65
§7.7. 5, 9, 15, 17, 21, 23, 35, 43, 45, 49, 51, 55, 57, 59, 61
§7.8. 5, 9, 15, 17, 27, 35, 41, 43
§7.9. 11, 12, 13, 14, 19, 20, 21, 24, 29, 31, 33, 35, 38, 41, 42, 43
§8.1. 7, 11, 25, 37
§8.2. 1---40
§8.3. 5, 7, 8, 11, 13, 15, 17, 21, 31, 37, 41
§8.4. 1, 3, 5, 7, 9, 11, 17, 33, 38
§8.5. 9, 11, 13, 23, 27, 29, 31, 33, 37
§8.6. 5, 7, 11, 17, 21, 25, 29, 33, 35, 38, 39, 43
§8.7. 7, 9
§10.1. 4, 9, 11, 15, 21, 23
§10.2. 3, 5, 7, 11, 15, 23, 27, 31, 33, 35
§10.3. 1, 5, 7, 9, 11, 15, 19, 25, 27, 29, 33
§10.4. 3, 7, 11, 13, 15, 19, 27, 31, 34, 43, 45
§10.5. 3, 9, 11, 13, 17, 19, 23, 25, 29, 31, 33, 35, 37
§10.6. 5, 7, 13, 17, 19, 23, 29, 33, 35, 37, 39, 41
§10.7. 1, 3, 7, 11, 15, 19, 21, 25, 29, 37
§11.1. 1, 7, 11, 15, 17
§11.2. 1, 5
§11.3. 1, 5, 13
§11.5. 1, 5, 7, 11, 13, 25, 29
§11.6. 1, 5, 9, 11, 15, 17, 19, 24, 25
§11.7. 3, 5, 9, 13, 15, 21, 25, 27, 29, 35
§11.8. 1, 7, 9, 11, 13, 17, 19, 23, 25, 26, 35
