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Google Classroom
GeoGebra
GeoGebra Lesson
Outline
Vector Calculus
Geometry of Euclidean Space and real-valued functions
Differentiation
Vector-Valued Functions
Double integrals
Integrals over paths and surfaces
Vector Calculus
Author:
Juan Carlos Ponce Campuzano
Topic:
Calculus
Geometrical approach to Vector Calculus
Table of Contents
Geometry of Euclidean Space and real-valued functions
Addition of vectors
Scalar multiplication
Vector product
Plotting 3D surfaces
Parametric surfaces
Klein bottle
Distance: Point to Plane
Differentiation
Partial derivatives and Tangent plane
Directional derivatives and Gradient
Vector-Valued Functions
Vector fields in 2D
Vector field 3D
Dynamic Frenet-Serret frame
Vector Fields
Divergence and Curl calculator
Double integrals
Double integral over a rectangle
Integrals over paths and surfaces
Path integral for planar curves
Area of fence Example 1
Line integral: Work
Line integrals: Arc length & Area of fence
Surface integral of a vector field over a surface
Line integrals of vector fields: Work & Circulation
Line integrals of vector fields: Flux
Line integral for planar curves
Next
Addition of vectors
New Resources
Midpoint Theorem (V2): Integer Solutions
Deriving the Arc Length Formula
Angle Addition Postulate (V2) - Integer Solutions
Writing and Graphing Proportional Relationships (k>0)
Segment Addition Postulate (Mild Questions)
Discover Resources
Two reflections= One translation
Polygon Explorer
A quadrilateral that is inscribed in a circle that by dynamic process convergent to a square
Perpendicular Bisector
Horizontal and Vertical Transformations
Discover Topics
Cosine
Piecewise Functions
Quadrilaterals
Terms
Sphere