Stewart Calculus - Vector Calculus
Offered By: Jonathan Walters via YouTube
Course Description
Overview
Syllabus
Line Integrals of Scalar Functions: Evaluate Line Integrals : Contour Integrals.
Line Integral of a Vector Field :: F(x,y,z) = sin(x) i + cos(y) j + xz k.
Fundamental Theorem for Line Integrals :: Conservative Vector Field Line Integral.
Green's Theorem Examples.
Scalar Surface Integral ∫∫ x^2yz dS where S is part of the plane z=1+2x+3y.
Scalar Surface Integral ∫∫xy dS, S is the triangular region (1,0,0), (0,2,0), (0,0,2).
Evaluate the Surface Integral over the Helicoid r(u,v) = ucos v i + usin v j + v k.
Find the Flux of the Vector Field F = x i + y j + z^4 k Through the Cone with Downward Orientation.
Use Stokes' Theorem to Evaluate the Surface Integral.
Divergence Theorem:: Find the flux of F = ( cos(z) + xy^2, xexp(-z), sin(y)+x^2z ).
Taught by
Jonathan Walters
Related Courses
Çok değişkenli Fonksiyon II: Uygulamalar / Multivariable Calculus II: ApplicationsKoç University via Coursera Calculus of Several Real Variables
Indian Institute of Technology Kanpur via Swayam An Introduction to smooth Manifolds
Indian Institute of Science Bangalore via Swayam Vector Calculus
YouTube Calculus 3 - Vol 2
YouTube