向量微積分
Vector Calculus
| 節 | 週一 |
|---|---|
5 13:20–14:10 | 向量微積分 SA320 2 節連堂 |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
Important: This course is given in English. For multivariable functions, basically it is not so easy to consider its integral. But when the integrand has a specific property, it sometimes becomes simple. For example, in complex analysis, integral of holomorphic functions does not depend on the contour. In vector analysis we can also see a similar situation: "the integral sometimes becomes simple". We will mainly study such kind of functions in 2 and 3 dimensional Euclidean spaces.
Calculus and Linear Algebra
TA: 邱祥慈 王士銘
We will have Report (70) and Exam (30). The detail will be announced in the lectures or check Announcement on E3.
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction: Basics for Vector Analysis |
| 第 2 週 | Vector Field in R^2: Curve and Domain |
| 第 3 週 | Vector Field in R^2: Line Integral |
| 第 4 週 | Vector Field in R^2: Line Integral (Gradient, Potential and Integral theorem) |
| 第 5 週 | Holiday |
| 第 6 週 | Vector Field in R^2: Line Integral (Rotation and Green's theorem) |
| 第 7 週 | Vector Field in R^2: Line Integral (Divergence and Gauss's theorem) |
| 第 8 週 | Vector Field in R^3: Surface |
| 第 9 週 | Vector Field in R^3: Line Integrals in R^3 |
| 第 10 週 | No Lecture |
| 第 11 週 | Vector Field in R^3: Divergence theorem in R^3 |
| 第 12 週 | Vector Field in R^3: Green's theorem in R^3 |
| 第 13 週 | Vector Field in R^3: Stokes' theorem in R^3 |
| 第 14 週 | Vector Field in R^3: |
| 第 15 週 | Examination |
| 第 16 週 |
- I will upload Lecture Note - For further study, you can use Library and I list up some references from the past: [1] J. E. Marsden and A. Tromba, Vector Calculus, 6th Edition, W H Freeman and Company, 2011. [2] A. Galbis and M. Maestre, Vector Analysis versus Vector Calculus, Springer, 2012. [3] P. E. Lewis and J. P. Ward, Vector Analysis for Engineers and Scientists, Addison-Wesley L.T.D. 1989. Of course, we have many good books for introduction to vector analysis. You can check also internet sites, other university's lecture sites and so on.
- 地點
- SA239
- 時間
- Thursday 16:00-18:00
- 聯絡方式
- Contact: y.chino@math.nctu.edu.tw or You can send message via E3 system