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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
גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם
Pythagorean Template: Integer Legs
Parabolas, Lines and Nomograms
Pythagorean Theorem: Extension Exercises
Perpendicular Lines: Quick Exploration
Discover Resources
Simplified Pentagon Construction
Perendicular Bisector in a Triangle
Dodeca II Locked
String Art : Dynamic 12X12A Vpre
Circumcenter
Discover Topics
Arithmetic
Interest Calculation
Unit Circle
Incircle or Inscribed Circle
Boxplot
