微積分(2)
Calculus(2)
學期
114-2
學分
4
學分
當期課號
910073
永久課號
SESE00093
開課單位
系統工程與科技學士學位學程
授課教師
吳文銓
類別
必修
上課時間表
| 節 | 週一 | 週三 |
|---|---|---|
3 10:10–11:00 | 微積分(2) 2 節連堂 | 微積分(2) 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
(1)著重微積分在各種不同方法的正確應用，而不是在公式的記憶。 Emphasize the correct application of calculus across various methods rather than rote memorization of formulas. (2)透過循序漸進的例題與習題並藉由註記的輔助，以培養學生自我學習的興趣與信心。 Cultivate students' interest and confidence in self-directed learning through progressively structured examples and exercises, supplemented by annotation
評分方式
配合微積分小組
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | 7.8 Improper Integrals |
| 第 2 週 | 8.1 Arc Length |
| 第 3 週 | 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves |
| 第 4 週 | 10.3 Polar Coordinates 10.4 Calculus in Polar Coordinates |
| 第 5 週 | 11.1 Sequences 11.2 Series |
| 第 6 週 | 11.6 The Ratio and Root Tests 11.8 Power Series |
| 第 7 週 | 11.9 Representations of Function as Power Series |
| 第 8 週 | 11.10 Taylor and Maclaurin Series |
| 第 9 週 | Mid Exam |
| 第 10 週 | 12.4 The Cross Product 14.1 Functions of Several Variables |
| 第 11 週 | 14.2 Limits and Continuity 14.3 Partial Derivatives |
| 第 12 週 | 14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule |
| 第 13 週 | 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values |
| 第 14 週 | 15.1 Double Integrals over Rectangles |
| 第 15 週 | 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates |
| 第 16 週 | Final Exam |
教科書
Calculus(Early Transcendentals), James Stewart, 9th Edition