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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
Parametric Curves
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
Polar Coordinates
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
Inversión esférica de nudos: el nudo trébol y el nudo ocho
Portions of a Sphere
Thales' Intercept Theorem
Parabola - Write the Equation - Practice
רישום חופשי
Discover Resources
Translaties van machtfuncties
A5b - Linjära ekvationer - lösa grafiskt
LZ 8.6.1.3 Scatter Plots Spreadsheet
LP Sensitivity Analysis (Geometric Approach)
Dividing Decimals by Whole Numbers: IM 6.5.12
Discover Topics
Geometric Mean
Differential Calculus
Right Triangles
Similar Triangles
Pyramid
