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/)