MAT225 - Multivariable Calculus:
The Great Theorems!
(SSII 2020 - WEEK04)
(More videos at http://www.patreon.com/calcpage2020)
Week04 started with Line Integrals in the plane to calculate Work and Flux. We practiced Double and Triple Integrals as well as Surface Integrals and Flux Integrals in Space.
We reviewed the Fundamental Theorem for Line Integrals then we discovered Green's Theorem for Work in the Plane, Stokes' Theorem for Work in Space and the Diveregence Theorem for Flux in Space.
Actually, we saw both forms of Green's Theorem. The other regards Flux Integrals in the Plane aka Green's Theorem in Normal Form.
We talked about the Divergence Theorem as an experimental result when Gauss was studying Electric Fields so this theorem is also called the Gauss-Green Theorem and leads to Gauss' Law. We finished with a discussion of Maxwell's Equations and how they relate to Gradient Fields as well as the Divergence and Curl of a Vector Field.
We finished the course this week by not testing on Thursday. So, this is our last blog post for the class.
Week05 is all review and testing! This was great fun for me, even over Zoom. I hope you learned a lot this summer. Have a great rest of the summer.
We reviewed the Fundamental Theorem for Line Integrals then we discovered Green's Theorem for Work in the Plane, Stokes' Theorem for Work in Space and the Diveregence Theorem for Flux in Space.
Actually, we saw both forms of Green's Theorem. The other regards Flux Integrals in the Plane aka Green's Theorem in Normal Form.
We talked about the Divergence Theorem as an experimental result when Gauss was studying Electric Fields so this theorem is also called the Gauss-Green Theorem and leads to Gauss' Law. We finished with a discussion of Maxwell's Equations and how they relate to Gradient Fields as well as the Divergence and Curl of a Vector Field.
We finished the course this week by not testing on Thursday. So, this is our last blog post for the class.
Week05 is all review and testing! This was great fun for me, even over Zoom. I hope you learned a lot this summer. Have a great rest of the summer.
Review Sheet - preTEST4A
Review Sheet - preTEST5A (FINAL)
Filks: Science!
Documentaries!
CRIB SHEET (not given during exam)
REVIEW BARRONS BOOK
REVIEW BARRONS ONLINE
REVIEW DELTAMATH AB CALC FLASH CARDS
REVIEW APCENTRAL (lastest BC FRQs)
REVIEW APCENTRAL (older AB FRQs)
REVIEW APCENTRAL (older BC FRQs)
REVIEW EDX MOOC01
REVIEW EDX MOOC02
REVIEW COURSERA MOOC03
Well, that's all folks!
Teaching with Technology,
AJG
A. Jorge Garcia
Applied Math, Physics & CompSci
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