微積分甲(二)
Calculus A (II)
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC106（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 微積分甲(二) SC106（光復） 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
教師未提供此項資料
微積分甲(一)
無備註
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
(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.
Ch10. Parametric Equations and Polar Coordinates
10.3 Polar Coordinates 10.4 Calculus in Polar Coordinates
- 講授：
- 2
Ch11. Sequences, Series, and Power Series (◆部分為選教)
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：
- 15
◆ Ch12. Vectors and the Geometry of Space (◆部分為選教)
◆ 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 Surfaces
◆ Ch13. Vector Functions (◆部分為選教)
◆ 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
Ch14. Partial Derivatives
14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Planes 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：
- 16
Ch15. Multiple Integrals (◆部分為選教)
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 (◆ The center of mass in Applications of 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：
- 11
◆ Ch16. Vector Calculus (◆部分為選教)
◆ 16.1 Vector Fields ◆ 16.2 Line Integrals ◆ 16.3 The Fundamental Theorem for line integrals ◆ 16.4 Green’s Theorem
| 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 2026-02-23(一),2026-02-26(四) |
| 第 2 週 | Chapter 7 Partial Derivatives -Limits and Continuity -Differentiability and Partial Derivatives 2026-03-02(一),2026-03-05(四) |
| 第 3 週 | Chapter 7 Partial Derivatives -Tangent Plane and Linear Approximation -The Chain Rule -Implicit Differentiation 2026-03-09(一),2026-03-12(四) |
| 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 2026-03-16(一),2026-03-19(四) |
| 第 5 週 | Chapter 7 Partial Derivatives -Absolute Maximum and Minimum Values -Lagrange Multipliers 2026-03-23(一),2026-03-26(四) |
| 第 6 週 | Chapter 8 Multiple Integrals -Double Integrals over Rectangles -Double Integrals over General Regions April 2 (Thu), Intercollegiate activities (holiday) 2026-03-30(一),2026-04-02(四) |
| 第 7 週 | April 6 (Mon), Tomb Sweeping Day (holiday) Chapter 8 Multiple Integrals -Double Integrals over General Regions 2026-04-06(一),2026-04-09(四) |
| 第 8 週 | April 13 (Mon), Midterm Exam Chapter 8 Multiple Integrals -Double Integrals in Polar Coordinates 2026-04-13(一),2026-04-16(四) |
| 第 9 週 | Chapter 8 Multiple Integrals -Surface Area -Triple Integrals -Triple Integrals in Cylindrical Coordinates 2026-04-20(一),2026-04-23(四) |
| 第 10 週 | Chapter 8 Multiple Integrals -Triple Integrals in Spherical Coordinates -Change of Variables in Multiple Integrals 2026-04-27(一),2026-04-30(四) |
| 第 11 週 | Chapter 9 Sequences, Series, and Power Series -Sequences -Series 2026-05-04(一),2026-05-07(四) |
| 第 12 週 | Chapter 9 Sequences, Series, and Power Series -The Integral Test -Comparison Tests -Alternating Series 2026-05-11(一),2026-05-14(四) |
| 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 2026-05-18(一),2026-05-21(四) |
| 第 14 週 | Chapter 9 Sequences, Series, and Power Series -Strategy for Testing Series -Power Series -Representation of Functions as Power Series 2026-05-25(一),2026-05-28(四) |
| 第 15 週 | Chapter 9 Sequences, Series, and Power Series -Taylor Series and Maclaurin Series -Proof of The Binomial Series 2026-06-01(一),2026-06-04(四) |
| 第 16 週 | Final Review June 10 (Wed), Final Exam 2026-06-08(一),2026-06-11(四) |
Calculus(Early Transcendentals), James Stewart, 9th Edition
- 地點
- SA238
- 時間
- 教師未提供此項資料
- 聯絡方式
- E-mail: sswangtw@nycu.edu.tw