微積分甲(二)
Calculus A (II)
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC109（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 微積分甲(二) SC109（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
Use e3 system.
Quizzes: 14% Two Midterms: 18% each Final Exam: 20% Joint Exam: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 | Infinite sequences and series 2024-02-19(一),2024-02-22(四) |
| 第 2 週 | Integral test, comparison tests, alternating series 2024-02-26(一),2024-02-29(四) |
| 第 3 週 | Ratio and root test; power series, and representing functions using power series 2024-03-04(一),2024-03-07(四) |
| 第 4 週 | Taylor series and applications 2024-03-11(一),2024-03-14(四) |
| 第 5 週 | Error estimations in infinite series, three-dimensional coordinate system; Midterm I 21/3 2024-03-18(一),2024-03-21(四) |
| 第 6 週 | Vectors, dot and cross product, equations of lines and planes; vector functions 2024-03-25(一),2024-03-28(四) |
| 第 7 週 | Basic calculus of vector functions, arc length 2024-04-01(一),2024-04-04(四) |
| 第 8 週 | Functions of several variables, their limits and continuity, partial derivatives 2024-04-08(一),2024-04-11(四) |
| 第 9 週 | Tangent planes, linear approximations, and differentiability; the chain rule; directional derivatives 2024-04-15(一),2024-04-18(四) |
| 第 10 週 | Gradient vectors; optimization of multivariable functions and Lagrange multipliers 2024-04-22(一),2024-04-25(四) |
| 第 11 週 | Lagrange multipliers (cont.); Midterm II 2/5 2024-04-29(一),2024-05-02(四) |
| 第 12 週 | Double integrals (with Cartesian coordinates) 2024-05-06(一),2024-05-09(四) |
| 第 13 週 | Double integrals (with polar coordinates); surface area; triple integrals (with Cartesian coordinates) 2024-05-13(一),2024-05-16(四) |
| 第 14 週 | Triple integrals (Cartesian, cylindrical, spherical coordinates) 2024-05-20(一),2024-05-23(四) |
| 第 15 週 | General change of variables; Final exam 30/5 2024-05-27(一),2024-05-30(四) |
| 第 16 週 | Joint exam 5/6 2024-06-03(一),2024-06-06(四) |
| 第 17 週 | 2024-06-10(一),2024-06-13(四) |
| 第 18 週 | 2024-06-17(一),2024-06-20(四) |
Calculus(Early Transcendentals), James Stewart, 9th Edition
- 地點
- SA 341
- 時間
- Send an e-mail to me to make appointment (not available: T2, R56)
- 聯絡方式
- chyuen@math.nctu.edu.tw