微積分(1)
Calculus (1)
學期
113-2
學分
4
學分
當期課號
910091
永久課號
SESE10037
開課單位
系統工程與科技學士學位學程
授課教師
張枝成
類別
必修
上課時間表
| 節 | 週三 |
|---|---|
9 17:30–18:20 | 微積分(1) 4 節連堂 |
A 18:30–19:20 | |
B 19:30–20:20 | |
C 20:30–21:20 |
* 根據陽明交大上課時間表所列
概述
建立數學基礎
教學方式
投影片,白板書寫,助教輔導
評分方式
50%, 50%
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | 極限的四則運算,極限定義 |
| 第 2 週 | Continuity Limits at Infinity, Horizontal Asymptotes |
| 第 3 週 | Derivatives and Rates of Change |
| 第 4 週 | The Derivatives as a Function Derivatives of Polynomials and Exponential Functions |
| 第 5 週 | The Product and Quotient Rules Derivatives of Trigonometric Functions |
| 第 6 週 | The Chain Rule Implicit Differentiation Derivatives of Logarithmic and Inverse Trigonometric Function |
| 第 7 週 | Linear Approximations and Differentials Maximum and Minimum Values |
| 第 8 週 | The Mean Value Theorem |
| 第 9 週 | What Derivatives Tell Us about the Shape of a Graph Indeterminate Forms and L'Hospital's Rule |
| 第 10 週 | Optimization Problems Antiderivatives |
| 第 11 週 | The Areas and Distance Problems The Definite Integral |
| 第 12 週 | TheFundamental Theorem of Calculus Indefinite Integrals and the Net Change Theorem |
| 第 13 週 | The Substitution Rule Areas Between Curves |
| 第 14 週 | Volumes Volumes by Cylindrical Shells |
| 第 15 週 | Average Value of Function Integration by Parts |
| 第 16 週 | Trigonometric Integrals |
| 第 17 週 | Trigonometric Substitution |
教科書
Calculus, James Stewart, Cengage, 9E, 2021