Multivariable calculus
author
ZenithDiksha_1
Course Description
Thinking about multivariable function
Introduction to multivariable calculus
vector and matrices
visualizing scalar-valued function
visualizing multivariable function(articles)
Derivatives of multivariable functions
Partial derivatives
Gradient and directional derivatives
Partial derivative and gradient (articles)
Differentiating parametric curve
Multivariable chain rule
Curvature
Partial derivative of vector -valued function
differentiating vector valued function (articles)
Divergence
curl
Divergence and curl (article)
Laplacian
jacobian
Applications of multivariable derivative
Tangent planes and local linearization
Quadratic approximations
Optimizing multivariable function
Optimizing multivariable function (article)
Lagrange multipliers and constrained Optimizing
Constrained Optimizing (article)
Integrating multivariable functions
Line integral for scalar function
Line integral in vector field
Line integral in vector field (article)
Double integral
Double integral (article)
Triple integral
change of variables
Polar ,spherical and cylindrical coordinate
Surface integral preliminaries
Surface integral
Surface integral (article)
Flux in 3D
Flux in 3D(article)
Green’s, Stokes’, and the divergence theorems
Formal definition of div and curl (optional reading)
Green ‘s theorem
Green ‘s theorem (articles)
2D divergence theorem
Stokes’ theorem
Stokes’ theorem (article)
3D Divergence theorem
Divergence theorem (article)
Proof of Strokes’ theorem
Types of region in three dimensions
Divergence theorem proof
COURCE CHALLENGES
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