微積分甲(二)
Calculus (II)
| 節 | 週二 | 週五 |
|---|---|---|
3 10:10–11:00 | 微積分甲(二) SC109（光復） 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 微積分甲(二) SC109（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
本學期課程涵蓋無窮級數、向量值函數、偏導數與多重積分等課題,將持續引導學生培養邏輯、分析與計算能力。
微積分(一)
無備註
以傳統式板書教學為主,視情況以投影片輔助。 助教 林承樸 email: tab314159@gmail.com Office hour: 星期三 18:30~19:20 (節次I) 地點:SA036 楊慕理 email: yml43016@gmail.com Office hour: 星期一 13:20-14:10 (節次E) 地點:SA133
期末微積分會考30% 期中考兩次(各15%)共計30% 小考 40% (每周考,取其中分數較高的10次總和) 習題請見http://calculus.nctu.edu.tw/archa/riki.php?id=8E&CID=3
Ch10 Parametric Equations and Polar Coordinates
10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates
- 講授：
- 4hours
◆Ch12 Vectors and the Geometry of Space (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 Surface
- 講授：
- 3 hours
Ch11 Infinite Sequences and 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 11.6 Absolute Convergence and 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 hours
Ch13 Vector Functions (◆處為選教)
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
- 講授：
- 3 hours
Ch14 Partial Derivatives
14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Plans 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 hours
Ch15 Multiple Integrals (◆處為選教)
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 hours
◆Ch16 Vector Calculus (◆處為選教)
◆ 16.1 Vector Fields ◆ 16.2 Line integrals ◆ 16.3 The fundamental Theorem for line integrals ◆ 16.4 Green's Theorem
- 講授：
- 0 hour
| 週次 | 主題 |
|---|---|
| 第 1 週 | 課程簡介 10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates 3/3, 3/6 |
| 第 2 週 | 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 3/10, 3/13 |
| 第 3 週 | 11.4 The Comparison Tests 11.5 Alternating Series 3/17,3/20 |
| 第 4 週 | 11.6 Absolute Convergence and the Ratio and Root Tests 11.8 Power Series 3/24, 3/27 |
| 第 5 週 | 11.7 Strategy for Testing Series 11.9 Representations of Functions as Power Series 4/3放假 3/31 |
| 第 6 週 | 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials 4/7,4/10 |
| 第 7 週 | 12 Vectors and the Geometry of Space 第一次期中考(4/17) 4/14, 4/17 |
| 第 8 週 | 13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 4/21, 4/24 |
| 第 9 週 | 13.3 Arc Length And ◆ Curvature 14.1 Functions of Several Variables 14.2 Limits and Continuity 4/28, 5/1 |
| 第 10 週 | 14.3 Partial Derivatives 14.4 Tangent Plans and Linear Approximations 5/5, 5/8 |
| 第 11 週 | 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 5/12, 5/15 |
| 第 12 週 | 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers 5/19,5/22 |
| 第 13 週 | 15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates 5/26, 5/29 |
| 第 14 週 | 15.5 Surface Area 第二次期中考(6/5) 6/2, 6/5 |
| 第 15 週 | 15.6 Triple Integrals 15.7 Triple Integrals in Cylindrical Coordinates 6/9, 6/12 |
| 第 16 週 | 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals ◆ 16.1 Vector Fields 6/16, 6/19 |
| 第 17 週 | ◆ 16.2 Line integrals ◆ 16.3 The fundamental Theorem for line integrals ◆ 16.4 Green's Theorem 6/23, 6/26 |
| 第 18 週 | 課程統整 6/30 |
Calculus(Early Transendentals), James Stewart, 8th Edition
- 地點
- 科一館236
- 時間
- 每周一下午2:00-3:10 科一館236 email: changhong@math.nctu.edu.tw
- 聯絡方式
- email: changhong@math.nctu.edu.tw