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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
Odd Function Explorer
Squaring a Rectangle (PST Version)
Angle Addition Postulate (V2) - Integer Solutions
Pythagorean Template: Integer Legs
Parabolas, Lines and Nomograms
Discover Resources
Symmetrical Rhombus by Translation
f(x)=e^x
Translation Activity
GM3b-02-P2-Q2 Use AA and SSS Similarity Rules
การบวกจำนวนเต็ม
Discover Topics
Median Value
Scatter Plot
Step Functions
Sphere
Vectors
