The Geometry of Vector Calculus toc:symmetries12 http://sites.science.oregonstate.edu/BridgeBook/ 2020-01-26T14:53:01-08:00 The Geometry of Vector Calculus http://sites.science.oregonstate.edu/BridgeBook/ http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.ico text/html 2012-09-23T09:46:59-08:00 toc:symmetries12:320review http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/320review?rev=1348418819 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources Unit 4: Potentials due to Continuous Sources Unit 5: Electric Fields as Gradients Unit 6: Superposition of Electric Fields text/html 2012-09-30T18:52:42-08:00 toc:symmetries12:continuous http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/continuous?rev=1349056362 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources (ss)Curvilinear Coordinates(ss)Activity: Infinitesimal Distance in Cylindrical and Spherical Coordinates(ss)Wrap-Up: Infinitesimal Distance in Cylindrical and Spherical Coordinates(ss)Activity: Scalar Surface and Volume Elements(ss)Wrap-Up: Scalar Surface and Volume Elements(ss)Densities(ss)Densities with Step Functions(ss)Simple S… text/html 2012-10-10T20:38:00-08:00 toc:symmetries12:eenergy http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/eenergy?rev=1349926680 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources Unit 4: Potentials due to Continuous Sources Unit 5: Electric Fields as Gradients Unit 6: Superposition of Electric Fields text/html 2012-10-31T17:27:00-08:00 toc:symmetries12:efields http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/efields?rev=1351729620 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources Unit 4: Potentials due to Continuous Sources Unit 5: Electric Fields as Gradients (ss)Activity: Curvilinear Basis Vectors(ss)Wrap-Up: Curvlinear Basis Vectors(ss) The Position Vector as a Vector Field(ss)The Vector Differential, $d\rr$(ss)Expressing $d\rr$ in Other Coordinate Systems(ss)Activity: Determining $d\rr$ in Cylindr… text/html 2012-10-07T16:38:36-08:00 toc:symmetries12:esuper http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/esuper?rev=1349653116 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources Unit 4: Potentials due to Continuous Sources Unit 5: Electric Fields as Gradients Unit 6: Superposition of Electric Fields (ss) Electric Fields from Continuous Charge Distributions(ss) Activity: Drawing Electric Fields(ss) Wrap-Up: Drawing Electric Fields(ss) Activity: Electric Field due to a Ring(ss) Wrap-Up: Electric Fie… text/html 2012-09-23T09:45:08-08:00 toc:symmetries12:potentials http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/potentials?rev=1348418708 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources Unit 4: Potentials due to Continuous Sources (ss) Potentials from Continuous Charge Distributions(ss)Activity: A Uniformly Charged Ring(ss)Wrap-Up: A Uniformly Charged Ring(ss)Activity: The Ring: Limits Near and Far(ss)Wrap-Up: The Ring: Limits Near and Far(ss) Potential Due to a Finite Line of Charge(ss) Potential Due to an… text/html 2014-10-04T14:18:00-08:00 toc:symmetries12:prereq http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/prereq?rev=1412457480 Symmetries and Idealizations Unit 0: Prerequisites (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)Surfaces(ss)Step Functions Unit 1: Potentials due to Discrete Sources text/html 2012-09-23T09:44:05-08:00 toc:symmetries12:pseries http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/pseries?rev=1348418645 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations (ss)Power Series(ss)Activity: Finding Power Series Coefficients(ss)Wrap-Up: Finding Power Series Coefficients(ss)Dimensions in Power Series(ss)Approximations Using Power Series(ss)Activity: Using Technology to Visualize Power Series Approximations (ss)Wrap-Up: Using Technology to Visualize Power Series Approximations(ss)Common Power Series(ss)Convergenc… text/html 2012-09-23T09:43:34-08:00 toc:symmetries12:ptcharges http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/ptcharges?rev=1348418614 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources (ss)Introduction(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(ss)The Position Vector(ss)The Distance between Two Objects(ss) Superposition of Discrete Sources(ss)Activity: Dipoles(ss)Wrap-Up: Dipol… text/html 2012-09-23T09:48:00-08:00 toc:symmetries12:start http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/start?rev=1348418880 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources Unit 4: Potentials due to Continuous Sources Unit 5: Electric Fields as Gradients Unit 6: Superposition of Electric Fields text/html 2012-09-23T09:48:00-08:00 toc:symmetries12:symmetries http://sites.science.oregonstate.edu/BridgeBook/toc/symmetries12/symmetries?rev=1348418880 Symmetries and Idealizations Unit 0: Prerequisites Unit 1: Potentials due to Discrete Sources Unit 2: Power Series Approximations Unit 3: Continuous Sources Unit 4: Potentials due to Continuous Sources Unit 5: Electric Fields as Gradients Unit 6: Superposition of Electric Fields