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Khan Academy
Multivariable calculus
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3,956,471 views
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175 items
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Last updated on Jun 5, 2018
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public playlist
Khan Academy
6:02
Multivariable functions | Multivariable calculus | Khan Academy
Khan Academy
6:39
Representing points in 3d | Multivariable calculus | Khan Academy
Khan Academy
7:06
Introduction to 3d graphs | Multivariable calculus | Khan Academy
Khan Academy
5:38
Interpreting graphs with slices | Multivariable calculus | Khan Academy
Khan Academy
5:36
Contour plots | Multivariable calculus | Khan Academy
Khan Academy
5:51
Parametric curves | Multivariable calculus | Khan Academy
Khan Academy
6:21
Parametric surfaces | Multivariable calculus | Khan Academy
Khan Academy
5:05
Vector fields, introduction | Multivariable calculus | Khan Academy
Khan Academy
3:35
Fluid flow and vector fields | Multivariable calculus | Khan Academy
Khan Academy
5:10
3d vector fields, introduction | Multivariable calculus | Khan Academy
Khan Academy
4:04
3d vector field example | Multivariable calculus | Khan Academy
Khan Academy
5:16
Transformations, part 1 | Multivariable calculus | Khan Academy
Khan Academy
4:38
Transformations, part 2 | Multivariable calculus | Khan Academy
Khan Academy
3:29
Transformations, part 3 | Multivariable calculus | Khan Academy
Khan Academy
10:56
Partial derivatives, introduction
Khan Academy
6:55
Partial derivatives and graphs
Khan Academy
7:58
Formal definition of partial derivatives
Khan Academy
7:02
Symmetry of second partial derivatives
Khan Academy
5:31
Gradient
Khan Academy
6:11
Gradient and graphs
Khan Academy
7:14
Directional derivative
Khan Academy
6:39
Directional derivative, formal definition
Khan Academy
8:50
Directional derivatives and slope
Khan Academy
10:32
Why the gradient is the direction of steepest ascent
Khan Academy
6:17
Gradient and contour maps
Khan Academy
7:45
Position vector valued functions | Multivariable Calculus | Khan Academy
Khan Academy
14:45
Derivative of a position vector valued function | Multivariable Calculus | Khan Academy
Khan Academy
5:04
Differential of a vector valued function | Multivariable Calculus | Khan Academy
Khan Academy
12:45
Vector valued function derivative example | Multivariable Calculus | Khan Academy
Khan Academy
9:33
Multivariable chain rule
Khan Academy
7:47
Multivariable chain rule intuition
Khan Academy
5:25
Vector form of the multivariable chain rule
Khan Academy
6:41
Multivariable chain rule and directional derivatives
Khan Academy
11:55
More formal treatment of multivariable chain rule
Khan Academy
4:12
Curvature intuition
Khan Academy
6:06
Curvature formula, part 1
Khan Academy
7:06
Curvature formula, part 2
Khan Academy
8:37
Curvature formula, part 3
Khan Academy
8:34
Curvature formula, part 4
Khan Academy
7:46
Curvature formula, part 5
Khan Academy
6:28
Curvature of a helix, part 1
Khan Academy
7:19
Curvature of a helix, part 2
Khan Academy
4:43
Curvature of a cycloid
Khan Academy
2:18
Computing the partial derivative of a vector-valued function
Khan Academy
9:29
Partial derivative of a parametric surface, part 1
Khan Academy
7:03
Partial derivative of a parametric surface, part 2
Khan Academy
8:34
Partial derivatives of vector fields
Khan Academy
7:31
Partial derivatives of vector fields, component by component
Khan Academy
6:21
Divergence intuition, part 1
Khan Academy
5:28
Divergence intuition, part 2
Khan Academy
3:39
Divergence formula, part 1
Khan Academy
6:04
Divergence formula, part 2
Khan Academy
4:11
Divergence example
Khan Academy
4:49
Divergence notation
Khan Academy
3:54
2d curl intuition
Khan Academy
5:43
2d curl formula
Khan Academy
5:39
2d curl example
Khan Academy
5:00
2d curl nuance
Khan Academy
6:06
Describing rotation in 3d with a vector
Khan Academy
5:50
3d curl intuition, part 1
Khan Academy
8:17
3d curl intuition, part 2
Khan Academy
7:41
3d curl formula, part 1
Khan Academy
6:12
3d curl formula, part 2
Khan Academy
5:35
3d curl computation example
Khan Academy
5:31
Laplacian intuition
Khan Academy
5:21
Laplacian computation example
Khan Academy
4:03
Explicit Laplacian formula
Khan Academy
10:56
Harmonic Functions
Khan Academy
9:22
Jacobian prerequisite knowledge
Khan Academy
5:23
Local linearity for a multivariable function
Khan Academy
6:22
The Jacobian matrix
Khan Academy
3:53
Computing a Jacobian matrix
Khan Academy
8:53
The Jacobian Determinant
Khan Academy
3:20
What is a tangent plane
Khan Academy
10:40
Controlling a plane in space
Khan Academy
9:41
Computing a tangent plane
Khan Academy
9:13
Local linearization
Khan Academy
4:42
What do quadratic approximations look like
Khan Academy
7:10
Quadratic approximation formula, part 1
Khan Academy
9:50
Quadratic approximation formula, part 2
Khan Academy
12:09
Quadratic approximation example
Khan Academy
6:10
The Hessian matrix | Multivariable calculus | Khan Academy
Khan Academy
8:20
Expressing a quadratic form with a matrix
Khan Academy
8:35
Vector form of multivariable quadratic approximation
Khan Academy
8:04
Multivariable maxima and minima
Khan Academy
5:50
Saddle points
Khan Academy
11:37
Warm up to the second partial derivative test
Khan Academy
11:52
Second partial derivative test
Khan Academy
10:43
Second partial derivative test intuition
Khan Academy
6:11
Second partial derivative test example, part 1
Khan Academy
7:43
Second partial derivative test example, part 2
Khan Academy
6:29
Constrained optimization introduction
Khan Academy
8:43
Lagrange multipliers, using tangency to solve constrained optimization
Khan Academy
6:39
Finishing the intro lagrange multiplier example
Khan Academy
7:50
Lagrange multiplier example, part 1
Khan Academy
6:51
Lagrange multiplier example, part 2
Khan Academy
12:28
The Lagrangian
Khan Academy
10:08
Meaning of Lagrange multiplier
Khan Academy
17:19
Proof for the meaning of Lagrange multipliers | Multivariable Calculus | Khan Academy
Khan Academy
18:49
Introduction to the line integral | Multivariable Calculus | Khan Academy
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