微積分甲(二)
Calculus A (II)
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC110（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 微積分甲(二) SC110（光復） 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
透過無窮數列與級數學習泰勒展開式,並從二維平面延伸至三維空間,學習使用多變數的微積分。 Learn Taylor expansions through infinite series and series, and from a two-dimensional plane to a three-dimensional space, learn to use multiple calculus.
微積分(一) Calculus I
無備註
相關事項將公佈於E3(http://e3.nycu.edu.tw),並於E3提供授課講義與作業參考解答供課前預習與課後複習。 安排助教 office hour 解答學生問題,助教名單與其值班時間將公佈於E3。 Announcement on E3 (http://e3.nycu.edu.tw), lecture notes and homework answers will be provided on E3 for pre-class and post-class review. The teaching assistants (TAs) office hour is arranged to answer students' questions. The list of TA assistants and their duty time will be announced on E3.
1. 隨堂考(Quiz) 10%. 2. 期中考(Firstterm) 20%. 3. 期中考(Midterm) 20%. 4. 期末考(Finalterm) 20%. 5. 大會考(Joint Exam) 30%.
Ch11 Infinite Sequences and Series
11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series and Absolute Convergence 11.6 The Ratio and Root Tests 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials
- 講授：
- 12
- 其他：
- 2
備註：其他為隨堂測驗與講解時間總計
◆Ch12 Vectors and the Geometry of Space (選教)
12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric Surface
- 講授：
- 4
- 其他：
- 0
備註：僅講授不進行測驗
Ch13 Vector Functions (◆處為選教)
13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length And ◆ Curvature ◆ 13.4 Motion in Space: Velocity and Acceleration
- 講授：
- 3
- 其他：
- 1
備註：其他為隨堂測驗與講解時間總計
Ch14 Partial Derivatives
14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Plans and Linear Approximations 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers
- 講授：
- 10.5
- 其他：
- 1.5
備註：其他為隨堂測驗與講解時間總計
Ch15 Multiple Integrals (◆處為選教)
15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates ◆15.4 Application of Double Integrals 15.5 Surface Area 15.6 Triple Integrals 15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals
- 講授：
- 14.5
- 其他：
- 1.5
備註：其他為隨堂測驗與講解時間總計
◆Ch16 Vector Calculus (◆處為選教)
◆ 16.1 Vector Fields ◆ 16.2 Line integrals ◆ 16.3 The fundamental Theorem for line integrals ◆ 16.4 Green's Theorem
- 講授：
- 0
- 其他：
- 0
備註：僅作簡介
| 週次 | 主題 |
|---|---|
| 第 1 週 | 11.1~11.3 2023-02-13(一),2023-02-16(四) |
| 第 2 週 | 11.4~11.7 2023-02-20(一),2023-02-23(四) |
| 第 3 週 | 11.8~11.9 2023-02-27(一),2023-03-02(四) |
| 第 4 週 | 11.10~11.11 2023-03-06(一),2023-03-09(四) |
| 第 5 週 | Firstterm 2023-03-13(一),2023-03-16(四) |
| 第 6 週 | 12, 13.1~13.3 2023-03-20(一),2023-03-23(四) |
| 第 7 週 | 14.1~14.3 2023-03-27(一),2023-03-30(四) |
| 第 8 週 | 14.4~14.6 2023-04-03(一),2023-04-06(四) |
| 第 9 週 | 14.7~14.8 2023-04-10(一),2023-04-13(四) |
| 第 10 週 | Midterm 2023-04-17(一),2023-04-20(四) |
| 第 11 週 | 15.1~15.2 2023-04-24(一),2023-04-27(四) |
| 第 12 週 | 15.3~15.5 2023-05-01(一),2023-05-04(四) |
| 第 13 週 | 15.6~15.7 2023-05-08(一),2023-05-11(四) |
| 第 14 週 | 15.8~15.9 2023-05-15(一),2023-05-18(四) |
| 第 15 週 | Finalterm 2023-05-22(一),2023-05-25(四) |
| 第 16 週 | Joint Exam 2023-05-29(一),2023-06-01(四) |
| 第 17 週 | 2023-06-05(一),2023-06-08(四) |
| 第 18 週 | 2023-06-12(一),2023-06-15(四) |
Calculus(Early Transendentals), James Stewart, 9th Edition.
- 地點
- 科一館231。 SA231.
- 時間
- Catch me if you can. 上課前後或中間下課等課餘時間,或可另約時間找我。 Before, in, and after class, or making an appointment.
- 聯絡方式
- E-mail: wuhsiunglin@nctu.edu.tw 校內分機(phone): 03-5712121 #56438