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Multivariable calculus

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