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Lecture 30, 11/7/2022. This page is for Section 1 only.
ACMS 20550: Applied Mathematics Method I
Instructor: Bei Hu, b1hu@nd.edu, Hurley 174A
Chapter 6: Vector Analysis
- Green's Formula.
- Green's Formula (in a plane): $\m\intd{A} \Big(\frac{\p Q}{\p x} -\frac{\p P}{\p y} \Big) dxdy = \oint_{\p A} (P dx + Q dy)$.
- Divergence Theorem (in 2D): $\m \intd{A} \text{div }\vec V dxdy = \oint_{\p A } \vec V\cdot \vec n ds$.
- Divergence Theorem (in 3D): $\m \int\hspace{-0.7em}\intd{\tau} \text{div }\vec V d\tau = \intd{\p\tau} \vec V\cdot \vec n d\sigma$.