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Outline
Vector Calculus Juan
Geometry of Euclidean Space and real-valued functions
Differentiation
Vector-Valued Functions
Double integrals
Integrals over paths and surfaces
Vector Calculus Juan
Author:
Ronan Downes
,
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
Tanzanian Ngoma - Model 2
Tanzanian Ngoma - Model 3
Slopes of Straight Lines
Square Cross Sections
Kopie von Exact values on the unit circle (degrees)
Discover Resources
Lettuce #3
GoGeometry Action 41!
Cross Sections
t_sample
Reasoning About Square Roots: IM 8.8.5
Discover Topics
Correlation
Constructions
Root
Straight Lines
Continuity
