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Multivariable Lessons With Transcripts
SAT Math Part 14 - Solving Equations With Fractions & Multivariable Expressions - Membership
This SAT math video explains how to solve equations with fractions and how to evaluate multivariable expressions. Here are some other useful links: SA...
SAT MathSAT Math Part 13 - Composite Functions and Multivariable Equations - Membership
This SAT math video provides practice problems with composite functions and multivariable equations. Here are some other useful links: SAT Math Part 1...
SAT MathFlux across a hemisphere, with and without the Divergence Theorem, Multivariable Calculus
We compute the vector surface integral for F = (y,x,z) across the upper hemisphere of radius 3 in two different ways. First, we compute the flux direc...
Multivariable Calculus (Calc III) - Complete Semester CourseOne flux example two ways: using Stokes' and the Divergence Theorem
In this exercise, we compute a vector surface integral using two different methods: Stokes' theorem and the Divergence theorem. First, we use Stokes'...
Multivariable Calculus (Calc III) - Complete Semester CourseDivergence Theorem, Multivariable Calculus
We look at the divergence theorem relating expansion/contraction of F(x,y,z) across a solid region to the flux of F across the boundary of the region....
Multivariable Calculus (Calc III) - Complete Semester CourseLine integral along a plane and sphere intersection, with Stokes and without
In this exercise, we evaluate the line integral y dx + z dy + x dz along the curve of intersection of the two surfaces x^2 + y^2 + z^2 = 1 and x+z=1....
Multivariable Calculus (Calc III) - Complete Semester CourseStokes' Theorem, Multivariable Calculus
Let's examine Stokes' Theorem, which extends Green's Theorem to regions not confined to the 𝑥𝑦-plane but "floating" (as surfaces) in ℝ3. This theorem...
Multivariable Calculus (Calc III) - Complete Semester CourseGreen's theorem for flux, Multivariable Calculus
We look at Green's theorem relating the flux across a boundary curve enclosing a region in the plane to the total divergence across the enclosed regio...
Multivariable Calculus (Calc III) - Complete Semester CourseGreen's Theorem Example, Multivariable Calculus
The typo in the beginning (y^2 instead of x^2) gets fixed early on. Also, I apologize for the terrible sound quality in this room! #calculus #multivar...
Multivariable Calculus (Calc III) - Complete Semester CourseExample using Green's Theorem to compute a circulation integral
In this exercise, we use Green's Theorem for circulation to switch from computing the circulation of a vector field around two closed curves to comput...
Multivariable Calculus (Calc III) - Complete Semester CourseGreen's Theorem, Multivariable Calculus
We discuss Green's theorem, focusing first on the circulation version, which I particularly enjoy. Overall, Green's theorem links the circulation of a...
Multivariable Calculus (Calc III) - Complete Semester CourseCurl and divergence of a vector field, Multivariable Calculus
In this lecture, we explore differentiation operations applied to vector fields F, focusing on the concepts of curl and divergence. We look at the com...
Multivariable Calculus (Calc III) - Complete Semester CourseMultivariable Key Concepts
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