| Vector Revision |
Engineering Mathematics |
43 min |
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| Intro to curves and vector functions |
Engineering Mathematics |
49 min |
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| Limits of vector functions |
Engineering Mathematics |
45 min |
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| Calculus of vector functions - 1 variable |
Engineering Mathematics |
21 min |
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| Calculus of vector functions tutorial |
Engineering Mathematics |
44 min |
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| Vector functions of one variable tutorial |
Engineering Mathematics |
13 min |
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| Vector functions tutorial |
Engineering Mathematics |
29 min |
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| Intro to functions of two variables |
Engineering Mathematics |
34 min |
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| 2 variable functions: graphs + limits tutorial |
Engineering Mathematics |
41 min |
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| Product + Quotient rule formulas: Partial derivatives |
Engineering Mathematics |
1 min |
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| How to compute partial derivatives |
Engineering Mathematics |
6 min |
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| Partial derivatives: 2nd order examples |
Engineering Mathematics |
5 min |
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| Basic partial differentiation and PDE example |
Engineering Mathematics |
4 min |
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| Partial derivatives and PDEs tutorial |
Engineering Mathematics |
9 min |
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| Partial derivatives |
Engineering Mathematics |
46 min |
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| Multivariable chain rule and differentiability |
Engineering Mathematics |
49 min |
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| Chain rule: partial derivative of $arctan (y/x)$ w.r.t. $x$ |
Engineering Mathematics |
6 min |
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| Chain rule: identity involving partial derivatives |
Engineering Mathematics |
8 min |
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| Chain rule & partial derivatives |
Engineering Mathematics |
9 min |
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| Multivariable chain rule tutorial |
Engineering Mathematics |
34 min |
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| Gradient and directional derivative |
Engineering Mathematics |
67 min |
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| Gradient of a function. |
Engineering Mathematics |
15 min |
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| Tutorial on gradient and tangent plane |
Engineering Mathematics |
23 min |
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| Directional derivative of f(x,y) |
Engineering Mathematics |
7 min |
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| Gradient & directional derivative tutorial |
Engineering Mathematics |
46 min |
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| Grad, directional derivative + tangent plane example |
Engineering Mathematics |
14 min |
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| Tangent plane approximation and error estimation |
Engineering Mathematics |
28 min |
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| Partial derivatives and error estimation |
Engineering Mathematics |
12 min |
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| Application of tangent plane approximation |
Engineering Mathematics |
11 min |
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| Multivariable Taylor Polynomials |
Engineering Mathematics |
55 min |
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| Taylor polynomials: functions of two variables |
Engineering Mathematics |
11 min |
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| Differentiation under integral signs: Leibniz rule |
Engineering Mathematics |
41 min |
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| Leibniz rule: Integration via differentiation under integral sign |
Engineering Mathematics |
6 min |
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| Evaluating challenging integrals via differentiation: Leibniz rule |
Engineering Mathematics |
8 min |
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| Critical points of functions |
Engineering Mathematics |
31 min |
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| Second derivative test: two variables |
Engineering Mathematics |
27 min |
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| How to find critical points of functions |
Engineering Mathematics |
15 min |
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| Critical points + 2nd derivative test: Multivariable calculus |
Engineering Mathematics |
7 min |
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| How to find and classify critical points of functions |
Engineering Mathematics |
12 min |
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| Max / min on closed, bounded sets |
Engineering Mathematics |
35 min |
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| Lagrange multipliers |
Engineering Mathematics |
45 min |
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| Lagrange multipliers: Extreme values of a function subject to a constraint |
Engineering Mathematics |
8 min |
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| Lagrange multipliers example |
Engineering Mathematics |
11 min |
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| Method of Lagrange multipliers. |
Engineering Mathematics |
19 min |
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| Lagrange multiplier example: Minimizing a function subject to a constraint |
Engineering Mathematics |
8 min |
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