| 當期課號 |
2662 |
Course Number |
2662 |
| 授課教師 |
黃宣瑜 |
Instructor |
HUANG,SHIUAN YU |
| 中文課名 |
微積分 |
Course Name |
Calculus |
| 開課單位 |
資訊管理系(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 |
《微積分(精華版) (Larson: Brief Calculus, 7/e)》ISBN:9868200326│歐亞出版社│吳舜堂│ |
Teaching Materials |
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| 成績評量方式 |
個人成績： 期中考試 30%
期末考試 30%
平時考試 20%
作業成績及課堂表現 20%
出席情況和積極參與課堂討論，予以酌量減或加分，並作為課堂表現成績之依據。 |
Grading |
Grade : Midterm Examination 30%
Final Examination 30%
Quiz 20%
Homeworks and Attendance 20% |
| 教師網頁 |
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| 教學內容 |
1.函數
2.極限
3.連續性
4.斜率
5.導數
6.變化率
7.微分法則
8.乘法和除法法則
9.連鎖律
10.遞增和遞減函數
11.凹向性
12.曲線描繪
13.指數函數與對數函數的導數
14.不定積分
15.一般冪次方法則
16.定積分與面積
17.微積分基本定理
18.積分技巧 |
Syllabus |
1.Functions
2.Limits
3.Continuity
4.slope
5.Derivatives
6.Instantaneous Rate of Change
7.Rules of Differentiation
8.The Product and Quotient Rules
9.The Chain Rule
10.Increasing and Decreasing Functions 11.Concavity
12.Curve Sketching
13.Derivatives of Exponential and Logarithmic Functions
14.Indefinite Integral
15.Integration by Tables
16.Area and Definite Integral
17.Fundamental Theorem of Calculus
18.Techniques of Integration |