| 當期課號 |
3370 |
Course Number |
3370 |
| 授課教師 |
武季蔚 |
Instructor |
WU,CHEI WEI |
| 中文課名 |
微積分 |
Course Name |
Calculus |
| 開課單位 |
會計系(四進)一B |
Department |
|
| 修習別 |
必修 |
Required/Elective |
Required |
| 學分數 |
3 |
Credits |
3 |
| 課程目標 |
數學模式廣泛應用在企業經營、經濟、統計、財務、管理等社會科學領域，其中微積分尤為重點。因此，對微積分的了解有助於同學在其主修領域的學習。本課程按函數、極限、微分、積分之順序講授並隨時輔以範例說明其應用情形。 |
Objectives |
Mathematic models are widely applied to business, economics, statistics, financial, management, and other social science fields. Of all these models, calculus is the most important. The realization in calculus will help students to study each major field. This course is to introduce function, limit, differentiation, and integration in order. And some real examples will be given to explain its application. |
| 教材 |
莊紹容、楊精松，數學商用微積分，3版，東華書局 89年
Dennis Berkey, 微積分, 3版, 滄海書局數學小組譯, 88年
鄭惟厚 譯, 毛起來說e, 天下文化, 2000。
陳雅茜 譯, 微積分之旅, 天下文化, 2000。 |
Teaching Materials |
|
| 成績評量方式 |
1. 平時考 40%
2. 期中考 30%
4. 期末考 30% |
Grading |
1. Quizs: 40%。
2. Middle Term Exam.: 30%。
3. Final Exam.: 30%。 |
| 教師網頁 |
|
| 教學內容 |
1. 微積分簡介、代數複習
2. 函數及函數圖形
3. 線性函數及函數應用
4. 極限定義、連續
5. 無窮極限及漸近線
6. 導函數的基本定義與微分乘、除、連鎖法則
7. 隱微分、高階導函數及變化率
8. 增量與微分及期中考複習
9. 期中考
10.指數與對數函數
11.指數與對數函數之微分
12.指數與對數函數之應用
13.極大值與極小值定義與判別
14.函數凹性及反曲點
15.微分對函數圖形應用、一般極植應用
16.相關變化率及經濟上應用
17.期末考複習
18.期末考 |
Syllabus |
1. Introduction and alegra review
2. Function and its graph
3. Linear function and function applications
4. Limits and continuity
5. Infinite limits and asymptote
6. Derivatives and differential rule
7. Implicit and high-order derivatives
8. Increment and difference, Mid term Exam review
9. Mid term Exam
10. Exponential and logarithm functions
11. Derivatives of exponential and logarithm functions
12. Applications of exponential and logarithm functions
13. Extrem values of functions
14. Concavity and reflection of functions
15. Derivative applications in function graph and extrem values.
16. Related rates and economic applications
17. Final Exam. review
18. Final Exam. |