向量微積分
Vector Calculus
| 節 | 週四 |
|---|---|
5 13:20–14:10 | 向量微積分 SA320（光復） 2 節連堂 |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
In this course we introduce vector field and consider the integral theorems in 2 and 3 dimensions. The goal of this course is to make a strong connection from calculus to other analysis courses.
Calculus I and II Linear Algebra
無備註
Blackboard Lecture
Attendance (10%) , Exam (50%), Report (40%)
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Vector and Vector Function: Tangent Vector, Arc Length Parameter |
| 第 2 週 | Classical Differential Geometry: Principal Normal Vector, Curvature, Binormal Vector, Torsion |
| 第 3 週 | Vector Field in 2D and Line Integral: Scalar Field, Vector Field |
| 第 4 週 | Gradient and Potential: Integral Theorem for Gradient |
| 第 5 週 | Rotation and Green's Theorem: Integral Theorem for Rotation |
| 第 6 週 | Rotation and Green's Theorem: Integral Theorem for Rotation |
| 第 7 週 | Divergence and Gauss' Theorem: Integral Theorem for Divergence |
| 第 8 週 | Divergence and Gauss' Theorem: Integral Theorem for Divergence |
| 第 9 週 | Midterm Exam |
| 第 10 週 | Surface and Vector Field in 3D |
| 第 11 週 | Surface Integral |
| 第 12 週 | Green's Theorem in 3D |
| 第 13 週 | Green's Theorem in 3D |
| 第 14 週 | Exercises |
| 第 15 週 | Final Exam |
| 第 16 週 | Backup |
Textbook: Lecture Note Reference: Calculus, Early Transcendentals, 9th edition. J. Stewart, D. Clegg, S. Watson, Cengage
- 地點
- SA239
- 時間
- TBA
- 聯絡方式
- Email: y.chino@math.nctu.edu.tw