| 當期課號 |
2493 |
Course Number |
2493 |
| 授課教師 |
楊志弘 |
Instructor |
YANG,CHIH HUNG |
| 中文課名 |
微積分(一) |
Course Name |
Calculus(I) |
| 開課單位 |
資訊工程系(四日)一A |
Department |
|
| 修習別 |
必修 |
Required/Elective |
Required |
| 學分數 |
3 |
Credits |
3 |
| 課程目標 |
本課程主要介紹微分及積分的定義、技巧及應用，其主要涵蓋的範圍有：
1. 極限與連續性
2. 微分
3. 微分的應用
4. 積分
5. 定積分的應用
6. 積分的技巧
7. 一次微分方程式
8. 無窮級數 |
Objectives |
This course gives an introduction to the definitions, techniques and applications of differentiation and integration. Topics to be covered are:
1. Limits and continuity
2. Differentiation
3. Applications of differentiation
4. Integration
5. Applications of the definite integral
6. Integration techniques
7. Fist-order differential equations
8. Infinite series |
| 教材 |
Daniel D.Benice 「Calculus and Its Applications」 |
Teaching Materials |
Daniel D.Benice 「Calculus and Its Applications」 |
| 成績評量方式 |
01.期中考 50.0% 02.期末考 50.0% 03.態度勤惰10.0% 總共110分 |
Grading |
01.midterm exam 50.0% 02.final exam 50.0% 03.presence 10.0%
total:110 points. |
| 教師網頁 |
|
| 教學內容 |
01/課程介紹;函數與函數圖形
02/指數與根號;直角坐標與距離公式
03/函數轉換
04/極限
05/連續函數
06/導數及計算
07/導函數的乘除法則;
08/高階導函數
09/期中考
10/鍊鎖率
11/隱微分
12/反導函數
13/定積分
14/微積分基本定理
15/代入積分法
16/分部積分法
17/積分技巧練習
18/期末考試 |
Syllabus |
01/A Precalculus Review:Function and Graphs
02/Exponents and Radicals|The Cartesian Plane and the Distance Formula|
03/Functions
04/Limits
05/Continuity
06/Some Rules for Differentiation
07/The Product and Quotient rules
08/Higher order derivatives
09/A midterm examination
10/The Chain Rules
11/Implicit differentiation
12/Antiderivatives
13/Indefinite Integrals
14/The General Power Rule
15/Integration by Substitution|
16/Integration by Parts and Present Value
17/Techniques of Integration
18/A final examination |