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Multivariable Calculus
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Multivariable Calculus
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About course
A course that covers the basic introduction to studies in multivariable calculus - calculus that involves more than one variable
Syllabus
Section 1. Partial Derivatives
Partial Derivatives
Partial Derivatives 2
Partial Derivatives 3
Partial Derivatives 4
Section 2. Differentials
Differentials
Gradient 1
Gradient of a scalar field
Curl 1
Curl 2
Curl 3
Divergence 1
Divergence 2
Divergence 3
Section 3. Directional derivative and the gradient
Finding the Directional Derivative
The Gradient Vector - Notation and Definition
Multivariable Chain Rules
Directional Derivatives and the Gradient 2
The Gradient 3
Section 4. Tangent planes and normal lines
Tangent Planes and Normal Lines 1
Tangent Planes and Normal Lines 2
Section 5. Extrema
Relative Extrema
Absolute Extrema
Applications of Extrema
Section 6. Path or Line integrals
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)
Section 7. Green's Theorem
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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