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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 MathThis SAT math video provides practice problems with composite functions and multivariable equations. Here are some other useful links: SAT Math Part 1...
SAT MathWe 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 CourseIn 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 CourseWe 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 CourseIn 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 CourseLet'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 CourseWe 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 CourseThe 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 CourseIn 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 CourseWe 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 CourseIn this lecture, we explore differentiation operations applied to vector fields F, focusing on the concepts of curl and divergence. We look at the com...
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