Course topics and videos

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Partial Derivatives

Partial Derivatives 2

Partial Derivatives 3

Partial Derivatives 4

Differentials

Gradient 1

Gradient of a scalar field

Curl 1

Curl 2

Curl 3

Divergence 1

Divergence 2

Divergence 3

Finding the Directional Derivative

The Gradient Vector - Notation and Definition

Multivariable Chain Rules

Directional Derivatives and the Gradient 2

The Gradient 3

Tangent Planes and Normal Lines 1

Tangent Planes and Normal Lines 2

Relative Extrema

Absolute Extrema

Applications of Extrema

Path or Line integrals of scalar functions

Path or Line integrals of scalar functions

Path or Line integrals on vector fields

Path or Line Integrals in Differential Form

Path or Line Integral for Scalar Functions

Line Integral for Scalar Functions Example

Line Integral for Scalar Functions Another Example Part 1

Line Integral for Scalar Functions Another Example 2 (part 2)

Green's Theorem Proof Part 1

Green's Theorem Proof (part 2)

Green's Theorem Example 1

Green's Theorem Example 2

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