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Outline
Multivariable Calculus
Vectors and Curves
Functions of Several Variables
Multiple Integration
Vector Calculus
Multivariable Calculus
Author:
Ku, Yin Bon (Albert)
Topic:
Calculus
This is a a collection of GeoGebra 3D applets that explain the main concepts in multivariable calculus.
Table of Contents
Vectors and Curves
Vectors in the Plane and Three dimensional Space
Dot products and Cross products
Lines and Planes in 3D Space
Lines and Curves in Space
Calculus of Vector-valued Functions
Motion in Space
Length and Arc length Parametrization of Curves
Curvature of Curves
Functions of Several Variables
Surfaces, Graphs, Level Curves, and Level Surfaces
Limits and Continuity
Partial Derivatives
The Chain Rule
Directional Derivatives and the Gradient
Tangent Planes and Linear Approximation
Maximum/Minimum Problems
Multiple Integration
Double Integrals over Rectangular Regions
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Triple Integrals
Cylindrical and Spherical Coordinates
Triple Integrals in Cylindrical and Spherical Coordinates
Vector Calculus
Vector Fields
Line Integrals
Conservative Vector Fields
Green's Theorem
Next
Vectors in the Plane and Three dimensional Space
New Resources
What Do You See?
Function art 3D - waiting shed
Linear Equation Graphs: Thin Slice
Function art 3D - waiting shed (v2)
Untitled
Discover Resources
Alternate Angles
Exploring Slope of Lines
Angles along rays.
signDist
Discover Topics
Arithmetic Operations
Integral Calculus
Combinatorics
Fractal Geometry
General Quadrilateral
