微積分甲(二)
Calculus A (II)
| 節 | 週二 | 週五 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SA320（光復） 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 微積分甲(二) SA320（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
教師未提供此項資料
Calculus A (I)
無備註
Use e3 system.
Quizzes: 20% Midterm: 25% Final Exam: 25% Joint Exam：30%
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 | Infinite sequences 2026-02-24(二),2026-02-27(五) |
| 第 2 週 | Infinite series 2026-03-03(二),2026-03-06(五) |
| 第 3 週 | Integral test; direct & limit comparison test; alternating series and absolute convergence 2026-03-10(二),2026-03-13(五) |
| 第 4 週 | Ratio and root test; power series; representing functions using power series 2026-03-17(二),2026-03-20(五) |
| 第 5 週 | Taylor series and its applications; vectors and equations of lines and planes 2026-03-24(二),2026-03-27(五) |
| 第 6 週 | Polar coordinates and calculus 2026-03-31(二),2026-04-03(五) |
| 第 7 週 | Polar calculus (cont.); multivariable functions and their limits 2026-04-07(二),2026-04-10(五) |
| 第 8 週 | Partial Derivatives; Midterm 17/4 2026-04-14(二),2026-04-17(五) |
| 第 9 週 | Tangent planes and differentiability; chain rule; directional derivatives 2026-04-21(二),2026-04-24(五) |
| 第 10 週 | Gradient vectors; optimization 2026-04-28(二),2026-05-01(五) |
| 第 11 週 | Optimization (cont.); Lagrange multipliers; double integrals over rectangular domains 2026-05-05(二),2026-05-08(五) |
| 第 12 週 | Double integrals (with Cartesian and polar coordinates) 2026-05-12(二),2026-05-15(五) |
| 第 13 週 | Surface area; triple integrals (with Cartesian and cylindrical coordinates) 2026-05-19(二),2026-05-22(五) |
| 第 14 週 | Triple integrals (with cylindrical and spherical coordinates); general change of variables 2026-05-26(二),2026-05-29(五) |
| 第 15 週 | Worked examples from previous joint exams; Final Exam 5/6 2026-06-02(二),2026-06-05(五) |
| 第 16 週 | Joint Exam 10/6 2026-06-09(二),2026-06-12(五) |
| 第 17 週 | 2026-06-16(二),2026-06-19(五) |
| 第 18 週 | 2026-06-23(二),2026-06-26(五) |
Calculus(Early Transcendentals), James Stewart, 9th Edition
- 地點
- SA 341
- 時間
- Send an e-mail to me to make appointment.
- 聯絡方式
- e3 or chyuen@math.nctu.edu.tw