微積分甲(二)
Calculus A (II)
| 節 | 週二 | 週五 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC106（光復） 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 微積分甲(二) SC106（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
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 (◆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
- 講授：
- 1
Ch13. Vector Functions (◆為選教部分)
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
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 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 and series 2025-02-18(二),2025-02-21(五) |
| 第 2 週 | Integral test, direct comparison test 2025-02-25(二),2025-02-28(五) |
| 第 3 週 | Limit comparison test; ratio and root test; alternating series and absolute convergence; power series 2025-03-04(二),2025-03-07(五) |
| 第 4 週 | Representing functions using power series; Taylor series and its applications 2025-03-11(二),2025-03-14(五) |
| 第 5 週 | Appl. of Taylor series (cont.); vectors and equations of lines and planes; vector functions 2025-03-18(二),2025-03-21(五) |
| 第 6 週 | Vector calculus, arc length; polar coordinates and calculus 2025-03-25(二),2025-03-28(五) |
| 第 7 週 | Calculus in polar coordinates (cont.); multivariable functions and their limits 2025-04-01(二),2025-04-04(五) |
| 第 8 週 | Lim. and cts. of multivar. functions; partial derivatives; Midterm 11/4 2025-04-08(二),2025-04-11(五) |
| 第 9 週 | Partial derivatives (cont.); tangent planes and differentiability; chain rule 2025-04-15(二),2025-04-18(五) |
| 第 10 週 | Chain rule (cont.); directional derivatives and gradient vectors; optimization 2025-04-22(二),2025-04-25(五) |
| 第 11 週 | Optimization (cont.); Lagrange multipliers; double integrals over rectangular domains 2025-04-29(二),2025-05-02(五) |
| 第 12 週 | Double integrals (with Cartesian coordinates and polar coordinates) 2025-05-06(二),2025-05-09(五) |
| 第 13 週 | Surface area; triple integrals (with Cartesian coordinates); cylindrical coordinates 2025-05-13(二),2025-05-16(五) |
| 第 14 週 | Triple integrals (with cylindrical and spherical coordinates); general change of variables 2025-05-20(二),2025-05-23(五) |
| 第 15 週 | Final exam 27/5 2025-05-27(二),2025-05-30(五) |
| 第 16 週 | Joint exam 4/6 2025-06-03(二),2025-06-06(五) |
| 第 17 週 | 2025-06-10(二),2025-06-13(五) |
| 第 18 週 | 2025-06-17(二),2025-06-20(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
- chyuen@math.nctu.edu.tw