微積分甲(二)
Calculus A (II)
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC204（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 微積分甲(二) SC204（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
其餘補充事項,會在第一次上課時與修課同學們說明清楚。
1.學期作業、考試、評量: (1) 小考和作業佔學期總成績30%。 (2) 第一次期中考佔學期總成績 20%,第二次期中考佔學期總成績20%,考試範圍與時間將另行公佈。 (3) 陽明交通大學期末微積分會考,成績佔學期總成績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 | Chapter 6 Applications of Integration -Polar Coordinates Review: Vectors and the Geometry of Space -Vectors, The Dot Product, The Cross Product Chapter 7 Vector Functions -Limits and Continuity 2025-02-17(一),2025-02-20(四) |
| 第 2 週 | Chapter 7 Vector Functions -Space Curves -Derivatives and Integrals of Vector Functions -Arc Length Chapter 8 Partial Derivatives -Functions of Several Variables -Limits and Continuity 2025-02-24(一),2025-02-27(四) |
| 第 3 週 | Chapter 8 Partial Derivatives -Limits and Continuity -Differentiability and Partial Derivatives -Tangent Plane and Linear Approximation 2025-03-03(一),2025-03-06(四) |
| 第 4 週 | Chapter 8 Partial Derivatives -The Chain Rule -Implicit Differentiation -Directional Derivatives and the Gradient Vector -The maximum/minimum rate of change 2025-03-10(一),2025-03-13(四) |
| 第 5 週 | Chapter 8 Partial Derivatives -Tangent Planes to Level Curves/Surfaces -Local Maximum and Minimum Values -Absolute Maximum and Minimum Values -Lagrange Multipliers 2025-03-17(一),2025-03-20(四) |
| 第 6 週 | Chapter 8 Partial Derivatives -Lagrange Multiplier Method Chapter 9 Multiple Integrals -Double Integrals over Rectangles -Review 2025-03-24(一),2025-03-27(四) |
| 第 7 週 | Midterm Exam 2025-03-31(一),2025-04-03(四) |
| 第 8 週 | Chapter 9 Multiple Integrals -Double Integrals over Rectangles -Double Integrals over General Regions -Double Integrals in Polar Coordinates 2025-04-07(一),2025-04-10(四) |
| 第 9 週 | Chapter 9 Multiple Integrals -Surface Area -Triple Integrals -Triple Integrals in Cylindrical Coordinates 2025-04-14(一),2025-04-17(四) |
| 第 10 週 | Chapter 9 Multiple Integrals -Triple Integrals in Spherical Coordinates -Change of Variables in Multiple Integrals Chapter 10 Sequences, Series, and Power Series -Sequences 2025-04-21(一),2025-04-24(四) |
| 第 11 週 | Chapter 10 Sequences, Series, and Power Series -Sequences -Series -The Integral Test 2025-04-28(一),2025-05-01(四) |
| 第 12 週 | Chapter 10 Sequences, Series, and Power Series -Comparison Tests -Alternating Series and Absolute Convergence 2025-05-05(一),2025-05-08(四) |
| 第 13 週 | Midterm Exam Chapter 10 Sequences, Series, and Power Series -The Ratio and Root Tests -Strategy for Testing Series -Power Series 2025-05-12(一),2025-05-15(四) |
| 第 14 週 | Chapter 10 Sequences, Series, and Power Series -Power Series -Representation of Functions as Power Series -Taylor Series and Maclaurin Series 2025-05-19(一),2025-05-22(四) |
| 第 15 週 | Chapter 10 Sequences, Series, and Power Series -Taylor Series and Maclaurin Series -Proofs of Taylor's Inequality, Interval of Convergence, Differentiation of Power Series and The Binomial Series 2025-05-26(一),2025-05-29(四) |
| 第 16 週 | Review 2025-06-02(一),2025-06-05(四) |
Calculus(Early Transcendentals), James Stewart, 9th Edition
- 地點
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- 時間
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- 聯絡方式
- 老師的e-mail:sswangtw@nycu.edu.tw