微積分甲(二)
Calculus A (II)
學期
114-2
學分
4
學分
當期課號
564012
永久課號
GECS10002
開課單位
微積分教學小組
授課教師
王賜聖
校區
光復
類別
必修
上課時間表
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC106 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 微積分甲(二) SC106 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
先修科目
微積分甲(一)
教學方式
Additional information will be explained to students during the first class meeting. TAs: CHAN, TZU-HSUAN, E-mail: iljanjc@gmail.com WANG, JUN-ZHI, E-mail: qweasdqazx12345@gmail.com
評分方式
(1) Quizzes and homework will account for 30% of the final grade. (2) The first midterm exam will account for 20%, and the second midterm exam will account for 20% of the final grade. The exam schedule and coverage will be announced in class. (3) The NYCU Calculus Final Examination will account for 30% of the final grade.
課程大綱
- Ch10. Parametric Equations and Polar Coordinates
- Ch11. Sequences, Series, and Power Series (◆部分為選教)
- ◆ Ch12. Vectors and the Geometry of Space (◆部分為選教)
- ◆ Ch13. Vector Functions (◆部分為選教)
- Ch14. Partial Derivatives
- Ch15. Multiple Integrals (◆部分為選教)
- ◆ Ch16. Vector Calculus (◆部分為選教)
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Chapter 6 Applications of Integration -Polar Coordinates Review: Vectors and the Geometry of Space -Vectors, The Dot Product, The Cross Product Chapter 7 Partial Derivatives -Functions of Several Variables -Limits and Continuity |
| 第 2 週 | Chapter 7 Partial Derivatives -Limits and Continuity -Differentiability and Partial Derivatives |
| 第 3 週 | Chapter 7 Partial Derivatives -Tangent Plane and Linear Approximation -The Chain Rule -Implicit Differentiation |
| 第 4 週 | Chapter 7 Partial Derivatives -Directional Derivatives and the Gradient Vector -The maximum/minimum rate of change -Tangent Planes to Level Curves/Surfaces -Local Maximum and Minimum Values -Absolute Maximum and Minimum Values |
| 第 5 週 | Chapter 7 Partial Derivatives -Absolute Maximum and Minimum Values -Lagrange Multipliers |
| 第 6 週 | Chapter 8 Multiple Integrals -Double Integrals over Rectangles -Double Integrals over General Regions April 2 (Thu), Intercollegiate activities (holiday) |
| 第 7 週 | April 6 (Mon), Tomb Sweeping Day (holiday) Chapter 8 Multiple Integrals -Double Integrals over General Regions |
| 第 8 週 | April 13 (Mon), Midterm Exam Chapter 8 Multiple Integrals -Double Integrals in Polar Coordinates |
| 第 9 週 | Chapter 8 Multiple Integrals -Surface Area -Triple Integrals -Triple Integrals in Cylindrical Coordinates |
| 第 10 週 | Chapter 8 Multiple Integrals -Triple Integrals in Spherical Coordinates -Change of Variables in Multiple Integrals |
| 第 11 週 | Chapter 9 Sequences, Series, and Power Series -Sequences -Series |
| 第 12 週 | Chapter 9 Sequences, Series, and Power Series -The Integral Test -Comparison Tests -Alternating Series |
| 第 13 週 | May 18 (Mon), Midterm Exam Chapter 9 Sequences, Series, and Power Series -Absolute Convergence and Conditional Convergence -The Ratio and Root Tests |
| 第 14 週 | |
| 第 15 週 | |
| 第 16 週 | June 10 (Wed), Final Exam |
教科書
Calculus(Early Transcendentals), James Stewart, 9th Edition
Office Hours
- 地點
- SA238
- 聯絡方式
- E-mail: sswangtw@nycu.edu.tw