The Geometry of Vector Calculus toc:symmetries14
http://sites.science.oregonstate.edu/BridgeBook/
2020-01-26T14:53:08-08:00The Geometry of Vector Calculus
http://sites.science.oregonstate.edu/BridgeBook/
http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.icotext/html2014-10-08T10:03:00-08:00toc:symmetries14:320review
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/320review?rev=1412787780
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Charge and Current
Unit 4: Gauss's Law (Integral Form)
Unit 5: Gauss's Law (Differential Form)
Unit 6: Conductorstext/html2014-10-13T08:29:00-08:00toc:symmetries14:ampere
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/ampere?rev=1413214140
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Charge and Current
Unit 4: Gauss's Law (Integral Form)
Unit 5: Gauss's Law (Differential Form)
Unit 6: Conductorstext/html2014-10-08T09:58:00-08:00toc:symmetries14:charge
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/charge?rev=1412787480
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Charge and Current
(ss)Densities(ss)Review of Single Variable Integration(ss)Double Integrals(ss)Order of Integration(ss)Triple Integrals(ss)
Multiple Integrals in Curvilinear Coordinates(ss)Activity:
Total Charge of a Shell(ss)Wrap-Up:
Total Charge of a Shell(ss)Center of Mass(ss)Surface Elements(ss)Activity:
Surface Elements on Planes, Cylinders, and …text/html2014-10-08T10:03:00-08:00toc:symmetries14:conductors
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/conductors?rev=1412787780
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Charge and Current
Unit 4: Gauss's Law (Integral Form)
Unit 5: Gauss's Law (Differential Form)
Unit 6: Conductors
(ss)Step Functions(ss)Densities with Step Functions(ss)The Dirac Delta Function(ss)
Properties of the Dirac Delta Function(ss)
Representations of the Dirac Delta Function(ss)
The Dirac Delta Function in Three Dimensions(ss)
The Dirac Delt…text/html2014-10-04T14:30:00-08:00toc:symmetries14:derivatives
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/derivatives?rev=1412458200
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Derivatives
(ss)Differentials(ss)Surfaces(ss)Level Sets
Unit 3: Electric Fields as Gradients
Unit 4: Integration
Unit 5: Flux and Current
Unit 6: Gauss's Law (Integral Form)text/html2014-10-08T10:02:00-08:00toc:symmetries14:efields
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/efields?rev=1412787720
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
(ss)The Vector Differential, $d\rr$(ss)Expressing $d\rr$ in
Other Coordinate Systems(ss)Activity:
Determining $d\rr$ in Cylindrical and Spherical Coordinates(ss)Wrap-Up:
Coordinate Expressions for $d\rr$(ss)The Multivariable Differential(ss)Gradient(ss)Properties of the Gradient(ss)
Directional Derivatives(ss)
The Gradient in Curvilinear Coordinates(ss)Activit…text/html2014-10-04T14:33:00-08:00toc:symmetries14:flux
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/flux?rev=1412458380
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Integration
Unit 4: Flux and Current
(ss)Surface Elements(ss)Activity:
Surface Elements on Planes, Cylinders, and Spheres(ss)Wrap-Up:
Surface Elements on Planes, Cylinders, and Spheres(ss)Flux(ss)Current
Unit 5: Gauss's Law (Integral Form)text/html2014-10-08T10:02:00-08:00toc:symmetries14:gauss
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/gauss?rev=1412787720
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Charge and Current
Unit 4: Gauss's Law (Integral Form)
(ss)Flux of the Electric Field(ss)Gauss's Law(ss)Activity: Flux through a Cube(ss)Wrap-Up: Flux through a Cube(ss)Gauss's Law and Symmetry(ss)Activity:
Gauss's Law on Cylinders and Spheres(ss)Wrap-Up:
Gauss's Law on Cylinders and Spheres(ss)Electric Field Lines
Unit 5: Gauss's Law (Differential Form)text/html2014-10-13T08:28:00-08:00toc:symmetries14:gaussdiff
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/gaussdiff?rev=1413214080
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Charge and Current
Unit 4: Gauss's Law (Integral Form)
Unit 5: Gauss's Law (Differential Form)
(ss)Divergence(ss)
The Divergence in Curvilinear Coordinates(ss)Activity: Visualizing Divergence(ss)Wrap-Up: Visualizing Divergence(ss)The Divergence Theorem(ss)Differential Form of Gauss's Law(ss)The Divergence of the Coulomb Field(ss)
Activity: Divergence-Free…text/html2014-10-08T09:52:00-08:00toc:symmetries14:integration
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/integration?rev=1412787120
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Integration
(ss)Densities(ss)Review of Single Variable Integration(ss)Double Integrals(ss)Order of Integration(ss)Triple Integrals(ss)
Multiple Integrals in Curvilinear Coordinates(ss)Activity:
Total Charge of a Shell(ss)Wrap-Up:
Total Charge of a Shell(ss)Center of Mass
Unit 4: Flux and Currenttext/html2014-10-08T10:00:00-08:00toc:symmetries14:intro
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/intro?rev=1412787600
Symmetries and Idealizations
Unit 0: Introduction
(ss)Introduction(ss)Getting Started with Maple(ss)Dimensions(ss)Voltmeters(ss)Vectors(ss)Scalar Fields(ss)Vector Fields(ss)Dot Product(ss)The Law of Cosines(ss)Cross Product(ss)Triple Product(ss)Cross Product(ss)Curvilinear Coordinates(ss)
Activity: Curvilinear Basis Vectors(ss)Wrap-Up:
Curvlinear Basis Vectors(ss)The Position Vector(ss)
The Position Vector as a Vector Field
Unit 1: Potentials and Superpositiontext/html2014-10-08T10:00:00-08:00toc:symmetries14:potentials
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/potentials?rev=1412787600
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
(ss)Differentials(ss)Surfaces(ss)Level Sets(ss)
Electrostatic and Gravitational Potentials(ss)
Activity: Visualization of Potentials(ss)
Wrap-Up: Visualization of Potentials(ss)
Activity: Using Technology to Visualize Potentials(ss)
Wrap-Up: Using Technology to Visualize Potentials
Unit 2: Electric Fields as Gradientstext/html2014-10-08T09:56:00-08:00toc:symmetries14:symmetries14
http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries14/symmetries14?rev=1412787360
Symmetries and Idealizations
Unit 0: Introduction
Unit 1: Potentials and Superposition
Unit 2: Electric Fields as Gradients
Unit 3: Charge and Current
Unit 4: Gauss's Law (Integral Form)
Unit 5: Gauss's Law (Differential Form)
Unit 6: Conductors