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Multivariable Calculus Topics

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video
Three Dimensions
3-D coordinate system
3-Dimensional vectors
Dot product
Cross product
3-Dimensional lines
3-Dimensional planes
Cylindrical coordinates
Spherical coordinates
video
Vector Functions
Calculus for vector functions
Tangent, normal, and binormal vectors
Arc length with vector functions
Curvature with vector functions
Tangential and normal components of acceleration
video
Partial Derivatives
Functions of several variables
Limits and continuity of multivariable functions
Partial derivatives
Higher order partial derivatives
Differentials of multivariable functions
Chain rule for multivariable functions
Directional derivatives
video
Partial Derivative Applications
Linear approximations and tangent planes
Gradient vectors
Local minima and maxima of multivariable functions
Absolute minimum and maximum of multivariable functions
Langrage multipliers
video
Multiple Integrals
Double integrals over a rectangular region
Double integrals over a general region
Double integrals in polar coordinates
Triple integrals
Triple integrals in cylindrical coordinates
Triple integrals in spherical coordinates
video
Multiple Integral Applications
Change in variables
Moment and center of mass
Surface area with double integrals

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