The Tutor Wizard discusses second partial derivatives and Clairaut's theorem.
3:46 - example 1
7:39 - example 2
9:30 - Clairaut's theorem
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https://www.youtube.com/watch?v=0DibKlH5g1Q
The Tutor Wizard continues math 120 linear algebra lectures with inverse matrices and determinants.
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https://www.youtube.com/watch?v=xI2KF3SX_5c
The Tutor Wizard discusses triple integrals in cylindrical and spherical coordinates.
3:14 - example 1
9:51 - example 2
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https://www.youtube.com/watch?v=fqbwxKKaf5M
The Tutor Wizard uses a differential equation to model how fast a cup of coffee will lose heat!
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https://www.youtube.com/watch?v=2A-dkH-nNJE
The Tutor Wizard explains the calculus of variations for parametric curves in the plane.
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https://www.youtube.com/watch?v=Ny-f5Ossk-8
The Tutor Wizard computes double integrals over general regions in the plane.
0:33 - example 1
5:39 - example 2
8:13 - example 3
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https://www.youtube.com/watch?v=HeoZQzHDgdY
The Tutor Wizard discusses the method of undetermined coefficients.
4:05 - example 1
12:05 - example 2
16:20 - example 3
21:06 - general form of solutions
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https://www.youtube.com/watch?v=yRxruaWUqX8
The Tutor Wizard explains sets and set operations and then fumbles an example at the end. We need sets and their notation to describe the different kinds of real numbers.
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https://www.youtube.com/watch?v=5lsW9nWySxs