| 當期課號 |
2549 |
Course Number |
2549 |
| 授課教師 |
楊志弘 |
Instructor |
YANG,CHIH HUNG |
| 中文課名 |
微積分 |
Course Name |
Calculus |
| 開課單位 |
資訊管理系(四日)一B |
Department |
|
| 修習別 |
必修 |
Required/Elective |
Required |
| 學分數 |
3 |
Credits |
3 |
| 課程目標 |
本課程之目的在使學生能瞭解微積分的基本原理和應用的技術，課程內容包含1.實數、函數與其圖形 2.導函數與微分 3.微分的應用 4.指數函數與對數函數的微分 5.反導函數和積分的定義 6.三角函數的微分&積分 7.積分技術 |
Objectives |
The main purpose of this course is to let students understand the fundamental principles of the differential integral calculus and its basic techniques of applications. The content involves real numbers, functions and graphs, the derivative and its applications, derivatives of exponential and logarithmic functions, derivative the trigonometric functions, and techniques of integration. |
| 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 |