成功大學106學年微積分共同進度 (工科、系統、水利、航太、測量、生醫) === ## 授課教師 Instructors * 陳旻宏 (工科系統) * 劉育佑 (水利航太) * 劉聚仁 (測量生醫) ## 課程教材 Textbook James Stewart. Essential Calculus (Metric Version), 2nd edition. ## 第2學期 Spring 2018 ### 考試 Exams **依授課老師公告為準** * **Midterm 1** Date: 4/13 Fri. (Week 7) Material: Ch8, Ch9 * **Midterm 2** Date: 5/18 Fri. (Week 12) Material: Ch10, Ch11 * **Final** Date: 6/26 Tue. (Week 18) Material: Ch12, Ch13 --- ### 進度 Weekly Schedule **視實際授課狀況調整** |Week|Chapter|Section|Notes| |---|---|---|---| |1 (2/26-3/2)|Series|8-1, 8-2|| |2 (3/5-3/9)| Series| 8-3, 8-4|| |3 (3/12-3/16)| Series| 8-5, 8-6|| |4 (3/19-3/23)| Series|8-7, 8-8|| |5 (3/26-3/30)| Parametric Equations|9-1, 9-2, 9-3|| |6 (4/2-4/6)|||Spring Break| |7 (4/9-4/13)| Parametric Equations |9-4, 9-5|Midterm 1| |8 (4/16-4/20)| Geometry of Space|10-6, 10-7, 10-8|| |9 (4/23-4/27)| Partial Derivatives|11-1, 11-2, 11-3|| |10 (4/30-5/4)| Partial Derivatives|11-4, 11-5|| |11 (5/7-5/11)| Partial Derivatives|11-6, 11-7|| |12 (5/14-5/18)| Partial Derivatives| 11-8|Midterm 2| |13 (5/21-5/25)| Multiple Integrals| 12-1, 12-2, 12-3|| |14 (5/28-6/1)| Multiple Integrals|12-5, 12-6, 12-7|| |15 (6/4-6/8)| Multiple Integrals|12-8, 13-1, 13-2|| |16 (6/11-6/15)| Vector Calculus|13-3, 13-4, 13-5|| |17 (6/18-6/22)| Vector Calculus |*13-6, *13-7|*Optional| |18 (6/26-6/30)|||Final| --- ### 練習題 Exercises |Section|Problems| |-------|--------| |8-1| 7,8,11,19,20,23,24,25,27,29,32,41,42,43,44,45| |8-2| 9,17,18,21,24,25,31,32,38,39,49,54,55,57,58,59| |8-3| 3,4,5,14,16,17,19,27,28,29,30,31,32,33,35,40,42,43| |8-4| 11,13,17,18,22,23,26,27,31,33,37,38,40,45| |8-5| 5,7,8,11,15,18,19,22,24,31,35,36| |8-6| 5,8,9,11,13,14,15,19,23,25,28,29,30,37,39| |8-7| 5,8,9,10,13,15,18,21,23,25,35,36,39,41,45,50,53,55,56,70| |8-8| 5,8,12,14,17,18,25,29| |**Section**|**Problems**| |9-1| 1,7,11,12,17,22,25,27,31,38| |9-2| 5,9,11,15,16,21,27,32,33,37,41,44| |9-3| 11,14,15,20,26,27,29,31,35,46,49,52| |9-4| 8,9,15,16,17,22,26,27,35,36| |9-5| 9,14,15,21,23,24| |**Section**|**Problems**| |10-1| 13,29| |10-2| 15,17| |10-3| 17,19,31,33| |10-4| 5,31,35,50| |10-5| 7,29,35,55| |10-6| 3,5,11,13| |10-7| 5,9,12,17,18,23,28,29,33,35,37,45,51,53,66| |10-8| 3,7,9,12,14,18,20,24,36,37,39,41,42,43,44,47,48,49,50,52| |**Section**|**Problems**| |11-1| 3,9,13,19,27,29,41,43,44,47| |11-2| 5,7,9,11,13,15,28,29,30,31| |11-3| 7,9,11,17,19,21,26,33,35,39,41,44,45,47,48,64,69,83| |11-4| 3,11,15,19,26,30,33,34| |11-5| 3,7,13,20,24,26,33,37,43,44,45,46| |11-6| 1,6,7,10,13,15,19,23,25,26,29,31,34,39,52| |11-7| 5,7,12,16,25,28,33,35,43,47| |11-8| 1,3,5,9,10,13,14,17,18,19,20,22| |**Section**|**Problems**| |12-1| 11,17,19,23,25,26,40,43| |12-2| 5,14,16,19,20,27,30,41,43,47,54,58| |12-3| 10,11,16,17,18,25,26,29,30,31| |12-5| 11,13,15,19,27,28,29,35| |12-6| 1,3,16,17,19,21,26,29| |12-7| 1,3,17,21,25,28,33,37,39,45| |12-8| 7,10,14,15,18,19,23,25,27,28| |**Section**|**Problems**| |13-1| 5,6,11-14,15-18,23,26,29,31| |13-2| 3,8,9,14,17,21,37,40,46,48| |13-3| 7,10,12,14,15,16,31,32| |13-4| 1,3,7,8,11,19,21,27,29,30| |13-5| 1,5,8,9,12,16,17,29| |13-6| 1,2,4,11,19,22,29,33,39,44,55,56,57,60| |13-7| 9,13,16,17,20,23,27,29,31,41| --- ## 第1學期 Fall 2017 ### 考試 Exams **日期與範圍以授課老師公告為準** * **Midterm 1** Date: 11/10 Fri. Material: Ch1,Ch2,Ch3 * **Midterm 2** Date: 12/15 Fri. Material: Ch4,Ch5 * **Final** Date: 1/16 Tue. Material: Ch6,Ch7 --- ### 進度 Weekly Schedule **進度將視實際授課狀況調整** |Week|Chapter|Section|Notes| |---|---|---|---| |1|Functions and Limits|1-1, 1-2, 1-3|1-3只講極限定義| |2| Functions and Limits| 1-4, 1-5, 1-6|| |3| Derivatives|2-1, 2-2, 2-3|| |4| Derivatives|2-4, 2-5, 2-6|| |5| Derivatives|2-7, 2-8, 3-1|| |6| Applications of Differentiations|3-2, 3-3, 3-4|| |7| Applications of Differentiations|3-5, 3-6, 3-7|| |8(11/6-11/10)| Integrals|4-1, 4-2|| |9(11/13-11/17)| Integrals|4-3, 4-4, 4-5|| |10(11/20-11/24)| Inverse Functions|5-1, 5-2|| |11(11/27-12/1)| Inverse Functions|5-3, 5-4, 5-5|| |12(12/4-12/8)| Inverse Functions|5-6, 5-7, 5-8|| |13(12/11-12/15)| Techniques of Integration|6-1|| |14(12/18-12/22)| Techniques of Integration|6-2, 6-3|| |15(12/25-12/29)| Techniques of Integration|6-6, 7-1. 7-2|| |16(1/1-1/5)| Applications of Integration|7-3, 7-4, 7-5|| |17(1/8-1/12)| Applications of Integration|7-6, 7-7|7-6只講質心| |18| Final Exam||| --- ### 練習題 Exercises |Section|Problems| |-------|--------| |1-1| 4,21,25,29,36,41,45,49| |1-2| 9,19,25,29,35,36,38,47| |1-3| 3,5,23,24| |1-4|15,21,35,36,37,42,43,44,46,48,51,53,55,61,63| |1-5|3,15,17,18,28,31,33,39,41,45a| |1-6|1,15,16,21,25,27,28,33,35,36,42,47| |**Section**|**Problems**| |2-1| 6,34,49,50| |2-2| 3,5,9,21,23,43,45,46,47,49| |2-3| 19,25,27,32,33,35,36,37,43,45,53,61| |2-4| 3,4,20,22,23,31,32,33,34,35,46,55| |2-5| 5,17,22,25,30,32,35,41,51,53,63,70,73,77| |2-6| 1,6,11,22,26,27,33,34,37,39a| |2-7| 11,12,13,14,18,19,20,27,37,41| |2-8|2,6,12,13,16,21,22,27| |**Section**|**Problems**| |3-1| 3,17,18,19,31,33,37,41,43,45| |3-2| 3,4,9,15,17,19,20,25,27,29| |3-3| 22,23,27,28,29,30,31,32,44,49| |3-4| 9,11,12,13,14,22,34,39,41,42| |3-5| 11,17,25,26,29,37,38,51,54,56| |3-6| 7,11,21,22| |3-7| 7,31,39,42| |**Section**|**Problems**| |4-1| 19,24| |4-2| 20,23,33,35,42,47,51,53| |4-3| 5,7,11,15,29,31,37,39,43,47,50,60| |4-4| 3,7,9,12,13,20,25,31| |4-5| 9,12,17,18,21,22,25,26,30,43,53,55| |**Section**|**Problems**| |5-1| 17,19,22,26,35,36,39,40,43,48| |5-2| 3,7,12,13,14,17,24,29,33,35,41,43,47,52,55,57,59,60,61,69| |5-3| 3,6,10,13,15,19,21,25,26,29,38,39,43,53,55,61,63,67,71,76| |5-4| 1,2,7,12,16,17,21,25,29,31,33,41,43,45,46,47,48,54| |5-5| 3,5,9,13,15,19| |5-6| 5,9,11,16,17,19,31,33,37,38,41,42,43,44,47,48| |5-7| 3,11,13,17,31,48,55,56| |5-8| 7,9,13,15,21,25,29,31,35,37,41,42,45,47,54,55| |**Section**|**Problems**| |6-1| 3,5,8,9,11,12,13,16,19,20,24,25,29,30,46| |6-2| 3,5,7,9,15,20,23,35,35,37,38,39,40,41,45,47,54,56,62,63| |6-3| 11,17,19,23,27,29,33,37,39,44| |6-6| 7,13,16,17,21,25,27,29,31,41,43,46,47,48,49,51| |**Section**|**Problems**| |7-1| 1,3,8,10,16,18,19,21,34,36| |7-2| 5,7,9,12,17,18,31,32,33,34,47,48,50,51,54| |7-3| 1,5,8,13,15,20,40,41,42,43| |7-4| 7,9,11,15,27,29| |7-5| 5,7,9,11,15,21,22,23| |7-6| 40,41,43,45,48,53| |7-7| 1,9,12,16,21,27,33,39| --- ## 外部連結 Links * [NCKU Course Catalog](http://course-query.acad.ncku.edu.tw/qry/index.php) * [NCKU Moodle](http://moodle.ncku.edu.tw/) * [Tools for Enriching Calculus](http://www.cengage.com/math/discipline_content/stewartec2/2008/14_cengage_tec/publish/deployments/ec_2e/ec2_v2_1a.html#) * [線上微積分詳解](https://www.symbolab.com/)