成功大學108學年微積分共同進度
(經濟、心理、企管、交管、工資 )
===
## Course Information:
* Lectures: Wednesday 15:10-17:00, Friday 14:10-15:00.
* TA classes: Friday 13:10-14:00.
* Dates for Exams (期中考試、期末考試日期):
* Midterm: (暫訂) Apr. 24 (Friday)
* Final: Jun. 19 (Friday)
* [行事曆](https://web.ncku.edu.tw/p/412-1000-6149.php?Lang=zh-tw)
* 2018-2019 課程網頁
* http://myweb.ncku.edu.tw/~chenshu/Calculus2018Fall.html
* http://myweb.ncku.edu.tw/~chenshu/Calculus2019Spring.html

## 授課教師與課程教材 Instructors and Textbook
* 舒宇宸： Ron Larson, Calculus, an Applied Approach, 10e Metric Version. (我也可以配合大家用Stewart, 因為我的課程不太依賴課本的)
* 黃世昌： James Stewart. Essential Calculus (Metric Version), 2nd edition.
* 陳旻宏： James Stewart. Essential Calculus (Metric Version), 2nd edition. [課程大綱](http://class-qry.acad.ncku.edu.tw/syllabus/online_display.php?syear=0108&sem=1&co_no=D511211&class_code=2)
* 侯世章：Sallas

## 第2學期 Spring 2018

### 考試 Exams
**依授課老師公告為準**
* Midterm: (暫訂) Apr. 24 (Friday)
* Final: Jun. 19(Friday)
:::info
* 4/24: 期中考前 (22+6)；考後(23+7)
* 4/29: 期中考前 (23+7)；考後(21+7)
* 5/1: 期中考前 (25+7)；考後(20+6)
:::

### 教學大綱 Outline
* Series:
* Convergence for Sequences and Series
* p-Series and Ratio Test
* Power Series and Taylor Polynomial Theorem
* Functions of Several Variables
* Partial Derivatives
* Optimization Problems and Lagrange Multipliers
* Multiple Integrals
* Jacobian
* Optional Topics:
* Differential Equations
* * Probability

---
### 建議進度
* [舒宇宸老師進度](https://hackmd.io/DZikkJEgQV-67PS5G31tvQ#Larson-%E9%80%B2%E5%BA%A6-Weekly-Schedule0)
* [黃世昌、陳旻宏老師進度](https://hackmd.io/DZikkJEgQV-67PS5G31tvQ#Stewart-%E9%80%B2%E5%BA%A6-Weekly-Schedule)
* [侯世章老師進度](https://hackmd.io/DZikkJEgQV-67PS5G31tvQ#Sallas-%E9%80%B2%E5%BA%A6-Weekly-Schedule)
**進度視實際授課狀況調整**

|Weeks|Topics|
|----|----|
|1| Review|
|2-8|Series|
||Functions of Several Variables|
||Partial Derivatives|
|8| Midterm 4/24|
|9-16|Multiple Integrals|
||Optional Topics
|17| Final 6/19|

#### Stewart 進度 Weekly Schedule
|Weeks|Topics|Section|Remark|
|----|----|---|---|
|1 (3/4, 3/6)| Review, Improper Intergral|||
|2 (3/11, 3/13)| Series| 8.1, 8.2, 8.3||
|3 (3/18, 3/20)| Series| 8.4, 8.5|(略過Root Test)|
|4 (3/25, 3/27)| Series|8.6, 8.7||
|5 (4/1)|Functions of Several Variables|11.1, 11.2||
|6 (4/8, 4/10)| Partial Derivatives|11.3, 11.4, 11.5||
|7 (4/15, 4/17)| Partial Derivatives|11.6, 11.7||
|8 (4/22, 4/24)| Partial Derivatives, Midterm|11.8||
|9 (4/29, 5/1)| Application of Integration|7.1, 7.2||
|10 (5/6, 5/8) |Multiple Integrals|12.1||
|11 (5/13, 5/15) |Multiple Integrals|12.2,12.3||
|12 (5/20, 5/22) |Multiple Integrals|12.4, 12.5||
|13 (5/27, 5/29) |Multiple Integrals|12.8||
|14 (6/3, 6/5)|Differential Equations|7.7||
|15 (6/10, 6/12)|Probability|||
|16 (6/17, 6/19)|Probability, Final (6/19)|||
|17| |

#### Larson 進度 Weekly Schedule

|Week|Date|Plan to Cover|Sections|Remark|
|----|----|----|----|----|
|1|Feb. 19,21|3-D Coordinates, Functions of Several Variables and Partial Derivatives|7.1-7.4||
|2|Feb.26|Optimization Problems and Lagrange Multipliers|7.5,7.6||
|3|March 4,6|Least Squares Regression and Interpolating Polynomials|7.7||
|4|March 11,13|Double Integrals and Jacobian|7.8,7.9||
|5|March 18,20|Convergence for Sequences and Series|10.1,10.2||
|6|March 25,27|p-Series and Ratio Test|10.3||
|7|April 1|Power Series and Taylor Polynomial Theorem|10.4,10.5||
|8|April 8,10|||
|9|April 15|Newton’s Method|10.6||
||April 17 (Fri.)|Midterm|
|10|April 22,24|Trigonometric Functions|8.1,8.2||
||April 27 (Sat.)|107學年微積分競試||
|11|April 29, May 1|Derivatives and Integrals of Trigonometric Functions|8.3,8.4,8.5||
|11|May 6, 8|Solutions of Differential Equations|11.1,11.2||
|12|May 13, 15|First-Order Linear Differential Equations|11.3||
|13|May 20, 22|Applications of Differential Equations|11.4||
|14|May 27, 29|Discrete Probability|9.1||
|15|June 3,5,|Continuous Random Variables|9.2||
|16|June 10,12|Expected Value and Variance|9.3||
|17|June 19 (Friday.)|Final Exam.|

#### Sallas 進度 Weekly Schedule

---

## 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/)

---

## 第1學期 Fall 2019

### 考試 Exams
**日期與範圍以授課老師公告為準**
* **Midterm** Date: Nov. 8(Fri.)
* **Final** Date: Jan. 8(Wed.).
---

### 教學大綱 Outline
|Week(s)|Plan to Cover|
|----|----|
|1-2|Pre-Calculus (a brief review);Functions, Graphs, Limits and Continuity|
|3-5|Differentiation: Differentiation Formulas, Chain Rule, Implicit Differentiation|
|6-8|Applications of the Derivative: Increasing and Decreasing, Concavity, Curve Sketching, Optimization, Differentials and Linear Approximation|
|9|Midterm|
|10-14| Integrals and Inverse Functions: Anti-Derivatives and Integrals, Fundamental Theorem of Calculus and Definite Integrals, Exponential and Logarithmic Functions, Improper Integrals.|
|15-17|Techniques of Integration: Integral Tables, Substitution, Integration by Parts, Numerical Integration.|
|18|Final|

### 進度 Weekly Schedule

**進度將視實際授課狀況調整**
:::info
* Improper Integrals 教授時間？(Sallas 好像在很後面)
* l’Hospital’s rule 教授時間？ (Larson 沒有，要自行補充)
:::

|Week(Date)|Plan to Cover|Sections(Larson)|Sections(Stewart)|Sallas|
|----|----|----|----|----|
|1(Sep.11)|Pre-Calculus (a brief review) |1.2-1.3|1.1-1.3(1-3只講極限定義)|1.1-1.7|
|2(Sep. 18, 20)|Functions, Graphs and Limits；Differentiation: Derivatives and slope of a Graph|1.4-1.6;2.1,2.2|1.4-1.6;2.1-2.2|2.1-2.6;3.1-3.3|
|3(Sep. 25, 27)|Differentiation: Rates of Change|2.3 -2.4|2.3-2.4|3.4|
|4(Oct. 2, 4)|Chain Rule|2.5,2.6|2.5|3.5|
|5(Oct. 9)|Implicit Differentiation and Related Rates|2.7-2.8|2.6, 2.7|3.7,4.10|
|6(Oct. 16, 18)|Applications of the Derivative|3.1,3.2|3.1-3.3|4.1-4.5|
|7(Oct. 23, 25)|Concavity and 2nd Derivative Test|3.3,3.4|3.3-3.4|4.6-4.8|
|8(Oct.30, Nov.1)|Applications|Economics Applications and Asymptotes (3.5,3.6,3.7)|Optimization Problems (3.5)|4.5|
|9(Nov. 6)|Differentials and Linear Approximation|3.8|2.8|4.11|
|(Nov. 8)|Midterm
|10(Nov. 13, 15)|Integrals and Inverse Functions|Exponential Functions(4.1- 4.3)|Anti-Derivatives and Integrals (3.7,4.1-4.3)|5.1-5.3|
|11(Nov. 20, 22)|Integrals and Inverse Functions|Logarithmic Functions (4.4, 4.5)|Fundamental Theorem of Calculus and Definite Integrals (4.4-4.5)|5.4|
|12(Nov. 27, 29)|Integrals and Inverse Functions|Exponential Growth and Decay (4.6)|Inverse and Logarithmic Functions (5.1,5.2)|7.1-7.3|
|13(Dec. 4, 6)|Integrals and Inverse Functions|Anti-Derivatives and Indefinite Integrals (5.1-5.3)|Exponential Function (5.3, 5.4)|7.4-7.5|
|14(Dec. 11, 13)|Integrals and Inverse Functions|Fundamental Theorem of Calculus and Definite Integrals (5.4-5.6)|Exponential Growth and Decay (5.5), l'Hospital's rule (5.9)|7.6|
|15(Dec. 18, 20)|Integration by Parts|6.1|6.1|8.2|
|16(Dec. 25, 27)|Numerical Integration|6.2,6.3|6.4,6.5|8.1,8.7|
|17(Jan. 3, 2019)|Improper Integrals|6.4|6.6|?|
|18(Jan. 8, 2019)|Final Exam.|

### 練習題 Exercises
* [Stewart(黃世昌、陳旻宏)](https://hackmd.io/Cj3rp2csRO2aLFzQiDSazQ?view)
* [Larson(舒宇宸)，也可以用Stewart](http://myweb.ncku.edu.tw/~chenshu/Calculus2018Fall.html)
* [Sallas(侯世章)](https:// "title")

---

---
http://myweb.ncku.edu.tw/~chenshu/Calculus2018Fall.html
http://myweb.ncku.edu.tw/~chenshu/Calculus2019Spring.html

---
### 進度 Weekly Schedule

|Week|Date|Plan to Cover|Sections(Larson)|Sections(Stewart)|Sallas|
|----|----|----|----|----|----|
|1|Feb. 19,21|3-D Coordinates, Functions of Several Variables and Partial Derivatives|7.1-7.4|||
|2|Feb.26|Optimization Problems and Lagrange Multipliers|7.5,7.6|||
|3|March 4,6|Least Squares Regression and Interpolating Polynomials|7.7|||
|4|March 11,13|Double Integrals and Jacobian|7.8,7.9|||
|5|March 18,20|Convergence for Sequences and Series|10.1,10.2|||
|6|March 25,27|p-Series and Ratio Test|10.3|||
|7|April 1|Power Series and Taylor Polynomial Theorem|10.4,10.5|||
|8|April 8,10||||
|9|April 15|Newton’s Method|10.6|||
||April 17 (Fri.)|Midterm|
|10|April 22,24|Trigonometric Functions|8.1,8.2|||
||April 27 (Sat.)|107學年微積分競試|||
|11|April 29, May 1|Derivatives and Integrals of Trigonometric Functions|8.3,8.4,8.5|||
|11|May 6, 8|Solutions of Differential Equations|11.1,11.2|||
|12|May 13, 15|First-Order Linear Differential Equations|11.3|||
|13|May 20, 22|Applications of Differential Equations|11.4|||
|14|May 27, 29|Discrete Probability|9.1|||
|15|June 3,5,|Continuous Random Variables|9.2|||
|16|June 10,12|Expected Value and Variance|9.3|||
|17|June 17 (Wed.)|Final Exam.|

**視實際授課狀況調整**