微積分甲(二)
Calculus A (II)
| 節 | 週二 | 週五 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC152（光復） 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 微積分甲(二) SC152（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
Contents: Series, Derivatives and Integrals for multi-variable functions Goal: Obtain concrete and applicable basic skills for your future study
Calculus A (I)
無備註
See Course Information uploaded in "Document"
Attendance & Quiz : 10% Reports : 20% Midterm Exams : 40% Final Exam (微積分會考):30%
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：
- 3
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 | Sequence and Series- Basics for Series 2025-02-18(二),2025-02-21(五) |
| 第 2 週 | Series- Convergence Tests 2025-02-25(二),2025-02-28(五) |
| 第 3 週 | Series- Power Series 2025-03-04(二),2025-03-07(五) |
| 第 4 週 | Series- Taylor & Maclaurin Series- Exercises 2025-03-11(二),2025-03-14(五) |
| 第 5 週 | Series- Midterm Exam 1 2025-03-18(二),2025-03-21(五) |
| 第 6 週 | Partial Derivatives- Definition- Total differential & Chain Rule- Directional Derivatives 2025-03-25(二),2025-03-28(五) |
| 第 7 週 | 2025-04-01(二),2025-04-04(五) |
| 第 8 週 | 2025-04-08(二),2025-04-11(五) |
| 第 9 週 | 2025-04-15(二),2025-04-18(五) |
| 第 10 週 | 2025-04-22(二),2025-04-25(五) |
| 第 11 週 | 2025-04-29(二),2025-05-02(五) |
| 第 12 週 | 2025-05-06(二),2025-05-09(五) |
| 第 13 週 | 2025-05-13(二),2025-05-16(五) |
| 第 14 週 | 2025-05-20(二),2025-05-23(五) |
| 第 15 週 | 2025-05-27(二),2025-05-30(五) |
| 第 16 週 | 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
- SA239
- 時間
- Wednesday 16:00-17:30
- 聯絡方式
- y.chino@math.nctu.edu.tw