The Geometry of Vector Calculus book:physics http://sites.science.oregonstate.edu/BridgeBook/ 2020-01-26T15:03:22-08:00 The Geometry of Vector Calculus http://sites.science.oregonstate.edu/BridgeBook/ http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.ico text/html 2012-10-16T13:24:44-08:00 book:physics:320review http://sites.science.oregonstate.edu/BridgeBook/book/physics/320review?rev=1350419084 Review text/html 2012-12-31T21:08:00-08:00 book:physics:422review http://sites.science.oregonstate.edu/BridgeBook/book/physics/422review?rev=1357016880 Review text/html 2012-10-25T11:40:00-08:00 book:physics:ampere http://sites.science.oregonstate.edu/BridgeBook/book/physics/ampere?rev=1351190400 (coming soon) Ampère's Law text/html 2012-12-31T21:12:00-08:00 book:physics:ampereact http://sites.science.oregonstate.edu/BridgeBook/book/physics/ampereact?rev=1357017120 Ampère's Law and Symmetry Activity: Ampère's Law on Cylinders text/html 2012-10-23T17:26:00-08:00 book:physics:amperehint http://sites.science.oregonstate.edu/BridgeBook/book/physics/amperehint?rev=1351038360 Activity: Ampère's Law on Cylinders Wrap-Up: Ampère's Law on Cylinders text/html 2012-11-01T08:13:44-08:00 book:physics:aring http://sites.science.oregonstate.edu/BridgeBook/book/physics/aring?rev=1351782824 (coming soon) Activity: Magnetic Vector Potential of a Spinning Ring text/html 2012-12-31T20:57:00-08:00 book:physics:aringhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/aringhint?rev=1357016220 Activity: Magnetic Vector Potential for a Spinning Ring Wrap-Up: Magnetic Vector Potential for a Spinning Ring text/html 2012-11-01T07:55:17-08:00 book:physics:bbound http://sites.science.oregonstate.edu/BridgeBook/book/physics/bbound?rev=1351781717 (coming soon) Activity: Boundary conditions on magnetic fields text/html 2012-11-02T10:04:30-08:00 book:physics:bboundhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/bboundhint?rev=1351875870 Gauss's Law Ampère's Law Activity: Boundary Conditions on Magnetic Fields Wrap-Up: Boundary Conditions on Magnetic Fields text/html 2012-10-23T19:35:00-08:00 book:physics:bplane http://sites.science.oregonstate.edu/BridgeBook/book/physics/bplane?rev=1351046100 (coming soon) Ampère's Law and Symmetry text/html 2012-11-02T11:10:00-08:00 book:physics:bring http://sites.science.oregonstate.edu/BridgeBook/book/physics/bring?rev=1351879800 (coming soon) Activity: Magnetic Field of a Spinning Ring text/html 2012-12-31T20:58:00-08:00 book:physics:bringhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/bringhint?rev=1357016280 Activity: Magnetic Field for a Spinning Ring Wrap-Up: Magnetic Field of a Spinning Ring text/html 2012-10-28T15:21:00-08:00 book:physics:bs http://sites.science.oregonstate.edu/BridgeBook/book/physics/bs?rev=1351462860 Magnetic Vector Potential Curl Product Rules The Biot-Savart Law text/html 2010-06-20T10:38:38-08:00 book:physics:compareab http://sites.science.oregonstate.edu/BridgeBook/book/physics/compareab?rev=1277055518 (coming soon) Comparing $\BB$ and $\AA$ for the spinning ring. text/html 2010-06-20T10:38:38-08:00 book:physics:concept http://sites.science.oregonstate.edu/BridgeBook/book/physics/concept?rev=1277055518 (coming soon) Concept maps text/html 2010-06-20T10:38:38-08:00 book:physics:conductors http://sites.science.oregonstate.edu/BridgeBook/book/physics/conductors?rev=1277055518 (coming soon) Conductors text/html 2010-06-20T10:38:38-08:00 book:physics:coulomb http://sites.science.oregonstate.edu/BridgeBook/book/physics/coulomb?rev=1277055518 (coming soon) The Divergence of a Coulomb Field text/html 2012-12-31T11:46:00-08:00 book:physics:cube http://sites.science.oregonstate.edu/BridgeBook/book/physics/cube?rev=1356983160 Gauss's Law Activity: Flux through a Cube text/html 2012-10-28T15:13:00-08:00 book:physics:cubehint http://sites.science.oregonstate.edu/BridgeBook/book/physics/cubehint?rev=1351462380 Activity: Flux through a Cube Wrap-Up: Flux through a Cube text/html 2012-12-31T11:46:00-08:00 book:physics:curlact http://sites.science.oregonstate.edu/BridgeBook/book/physics/curlact?rev=1356983160 Curl Activity: Using Technology to Visualize the Curl text/html 2012-10-09T11:27:57-08:00 book:physics:curlfree http://sites.science.oregonstate.edu/BridgeBook/book/physics/curlfree?rev=1349807277 (coming soon) Activity: Curl-Free (Conservative) Vector Fields text/html 2012-10-09T11:28:07-08:00 book:physics:curlfreehint http://sites.science.oregonstate.edu/BridgeBook/book/physics/curlfreehint?rev=1349807287 Activity: Curl-Free (Conservative) Vector Fields Wrap-Up: Curl-Free (Conservative) Vector Fields text/html 2012-10-28T15:12:00-08:00 book:physics:curlhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/curlhint?rev=1351462320 Curl Activity: Using Technology to Visualize the Curl Wrap-Up: Using Technology to Visualize the Curl text/html 2012-10-10T10:41:29-08:00 book:physics:currents http://sites.science.oregonstate.edu/BridgeBook/book/physics/currents?rev=1349890889 (coming soon) Currents text/html 2012-09-14T19:56:06-08:00 book:physics:dimensions http://sites.science.oregonstate.edu/BridgeBook/book/physics/dimensions?rev=1347677766 Dimensions text/html 2010-06-20T10:38:38-08:00 book:physics:disk http://sites.science.oregonstate.edu/BridgeBook/book/physics/disk?rev=1277055518 (coming soon) A uniform disk text/html 2012-10-08T19:53:04-08:00 book:physics:disk2 http://sites.science.oregonstate.edu/BridgeBook/book/physics/disk2?rev=1349751184 (coming soon) The electric field of a uniform disk text/html 2012-12-31T11:46:00-08:00 book:physics:divact http://sites.science.oregonstate.edu/BridgeBook/book/physics/divact?rev=1356983160 Divergence The Divergence in Curvilinear Coordinates Activity: Using Technology to Visualize the Divergence text/html 2012-10-09T11:28:36-08:00 book:physics:divfree http://sites.science.oregonstate.edu/BridgeBook/book/physics/divfree?rev=1349807316 (coming soon) Activity: Divergence-Free Vector Fields text/html 2012-10-09T11:28:53-08:00 book:physics:divfreehint http://sites.science.oregonstate.edu/BridgeBook/book/physics/divfreehint?rev=1349807333 Activity: Divergence-Free Vector Fields Wrap-Up: Divergence-Free Vector Fields text/html 2012-10-28T15:05:00-08:00 book:physics:divhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/divhint?rev=1351461900 Divergence The Divergence in Curvilinear Coordinates Activity: Using Technology to Visualize the Divergence Wrap-Up: Using Technology to Visualize the Divergence text/html 2010-06-20T10:38:38-08:00 book:physics:dotperp http://sites.science.oregonstate.edu/BridgeBook/book/physics/dotperp?rev=1277055518 (coming soon) Dot Products and Components text/html 2012-10-16T15:17:01-08:00 book:physics:drawfieldact http://sites.science.oregonstate.edu/BridgeBook/book/physics/drawfieldact?rev=1350425821 Activity: Visualization of Potentials Gradient Electric Field Activity: Drawing Electric Fields text/html 2012-10-28T15:03:00-08:00 book:physics:drawfieldhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/drawfieldhint?rev=1351461780 Activity: Drawing Electric Fields Wrap-Up: Drawing Electric Fields text/html 2012-10-09T11:24:06-08:00 book:physics:drawquadrupole http://sites.science.oregonstate.edu/BridgeBook/book/physics/drawquadrupole?rev=1349807046 Electrostatic and Gravitational Potentials Scalar Fields Activity: Visualization of Potentials text/html 2012-10-28T15:02:00-08:00 book:physics:drawquadrupolehint http://sites.science.oregonstate.edu/BridgeBook/book/physics/drawquadrupolehint?rev=1351461720 Activity: Visualization of Potentials Wrap-Up: Visualization of Potentials text/html 2012-10-30T15:07:58-08:00 book:physics:ebound http://sites.science.oregonstate.edu/BridgeBook/book/physics/ebound?rev=1351634878 Gauss's Law Ampère's Law Activity: Boundary conditions on electric fields text/html 2012-11-02T10:07:41-08:00 book:physics:eboundhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/eboundhint?rev=1351876061 Gauss's Law Ampère's Law Activity: Boundary Conditions on Electric Fields Wrap-Up: Boundary Conditions on Electric Fields text/html 2010-06-20T10:38:38-08:00 book:physics:electric http://sites.science.oregonstate.edu/BridgeBook/book/physics/electric?rev=1277055518 (coming soon) Electric Field text/html 2012-10-07T20:27:00-08:00 book:physics:emenergyact http://sites.science.oregonstate.edu/BridgeBook/book/physics/emenergyact?rev=1349666820 (coming soon) Activity: Electrostatic Energy text/html 2012-10-07T21:14:00-08:00 book:physics:emenergyhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/emenergyhint?rev=1349669640 Activity Electrostatic Energy: Wrap-Up: Electrostatic Energy text/html 2012-10-29T12:31:00-08:00 book:physics:energy http://sites.science.oregonstate.edu/BridgeBook/book/physics/energy?rev=1351539060 (coming soon) Electrostatic Energy text/html 2012-10-07T15:36:00-08:00 book:physics:ering1act http://sites.science.oregonstate.edu/BridgeBook/book/physics/ering1act?rev=1349649360 Densities Wrap-Up: Coordinate Expressions for $d\rr$ Activity: A Uniformly Charged Ring Electric Field Activity: Electric Field due to a Ring text/html 2012-12-31T20:52:00-08:00 book:physics:ering1hint http://sites.science.oregonstate.edu/BridgeBook/book/physics/ering1hint?rev=1357015920 Activity: Electric Field due to a Ring Wrap-Up: Electric Field due to a Ring text/html 2012-10-16T13:22:51-08:00 book:physics:etriangle http://sites.science.oregonstate.edu/BridgeBook/book/physics/etriangle?rev=1350418971 The Relationship between Electrostatic Potentials, Fields, and Sources text/html 2012-10-07T17:02:30-08:00 book:physics:fieldint http://sites.science.oregonstate.edu/BridgeBook/book/physics/fieldint?rev=1349654550 Superposition of Discrete Sources Electric Field Electric Fields from Continuous Charge Distributions text/html 2010-06-20T10:38:38-08:00 book:physics:find http://sites.science.oregonstate.edu/BridgeBook/book/physics/find?rev=1277055518 (coming soon) Finding the Potential from the Electric Field text/html 2012-10-25T11:41:00-08:00 book:physics:gauss http://sites.science.oregonstate.edu/BridgeBook/book/physics/gauss?rev=1351190460 Flux of the Electric Field Gauss' Law text/html 2012-12-31T20:55:00-08:00 book:physics:gaussact http://sites.science.oregonstate.edu/BridgeBook/book/physics/gaussact?rev=1357016100 Gauss's Law Gauss's Law and Symmetry Activity: Gauss's Law on Cylinders and Spheres text/html 2012-10-23T17:25:00-08:00 book:physics:gausshint http://sites.science.oregonstate.edu/BridgeBook/book/physics/gausshint?rev=1351038300 Activity: Gauss's Law on Cylinders and Spheres Wrap-Up: Gauss's Law on Cylinders and Spheres text/html 2012-10-23T19:50:00-08:00 book:physics:gausssymmetry http://sites.science.oregonstate.edu/BridgeBook/book/physics/gausssymmetry?rev=1351047000 Gauss's Law Gauss's Law and Symmetry text/html 2012-12-31T11:46:00-08:00 book:physics:gradientact http://sites.science.oregonstate.edu/BridgeBook/book/physics/gradientact?rev=1356983160 Gradient Properties of the Gradient Activity: Using Technology to Visualize the Gradient text/html 2012-10-28T14:58:00-08:00 book:physics:gradienthint http://sites.science.oregonstate.edu/BridgeBook/book/physics/gradienthint?rev=1351461480 Gradient Properties of the Gradient Activity: Using Technology to Visualize the Gradient Wrap-Up: Using Technology to Visualize the Gradient text/html 2012-12-31T20:50:00-08:00 book:physics:hillnavact http://sites.science.oregonstate.edu/BridgeBook/book/physics/hillnavact?rev=1357015800 Gradient Properties of the Gradient Activity: The Hill text/html 2012-10-07T08:21:00-08:00 book:physics:hillnavhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/hillnavhint?rev=1349623260 Gradient Properties of the Gradient Activity: The Hill Wrap-Up: The Hill text/html 2012-09-18T19:42:50-08:00 book:physics:intro http://sites.science.oregonstate.edu/BridgeBook/book/physics/intro?rev=1348022570 Introduction text/html 2010-06-20T10:38:38-08:00 book:physics:lines http://sites.science.oregonstate.edu/BridgeBook/book/physics/lines?rev=1277055518 Gauss's Law Activity: Drawing Electric Fields Wrap-Up: Drawing Electric Fields Electric Field Lines text/html 2012-10-28T14:57:00-08:00 book:physics:maxwell1 http://sites.science.oregonstate.edu/BridgeBook/book/physics/maxwell1?rev=1351461420 (coming soon) Differential Form of Gauss' Law text/html 2012-12-31T11:53:00-08:00 book:physics:maxwell2 http://sites.science.oregonstate.edu/BridgeBook/book/physics/maxwell2?rev=1356983580 (coming soon) Differential Form of Ampère's Law text/html 2012-10-24T13:58:00-08:00 book:physics:phflux http://sites.science.oregonstate.edu/BridgeBook/book/physics/phflux?rev=1351112280 Surface Elements Activity: Surface Elements on Planes, Cylinders and Spheres Wrap-Up:xo Surface Elements on Planes, Cylinders and Spheres Flux Flux of the Electric Field text/html 2012-09-19T11:05:00-08:00 book:physics:position http://sites.science.oregonstate.edu/BridgeBook/book/physics/position?rev=1348077900 The Position Vector The Dot Product The Law of Cosines The Distance between Two Objects text/html 2012-09-18T20:14:28-08:00 book:physics:positioncurv http://sites.science.oregonstate.edu/BridgeBook/book/physics/positioncurv?rev=1348024468 Vector Fields The Position Vector Activity: Basis Vectors The Position Vector in Curvilinear Coordinates text/html 2012-10-07T16:31:00-08:00 book:physics:potentialint http://sites.science.oregonstate.edu/BridgeBook/book/physics/potentialint?rev=1349652660 Electrostatic and Gravitational Potentials Superposition of Discrete Sources Potentials from Continuous Charge Distributions text/html 2012-09-18T19:43:27-08:00 book:physics:potentials http://sites.science.oregonstate.edu/BridgeBook/book/physics/potentials?rev=1348022607 Dimensions Voltmeters Scalar Fields Electrostatic and Gravitational Potentials text/html 2010-06-20T10:38:38-08:00 book:physics:potentials2 http://sites.science.oregonstate.edu/BridgeBook/book/physics/potentials2?rev=1277055518 (coming soon) Potentials II text/html 2012-10-28T14:56:00-08:00 book:physics:pvector http://sites.science.oregonstate.edu/BridgeBook/book/physics/pvector?rev=1351461360 None The Position Vector text/html 2012-09-18T00:23:50-08:00 book:physics:ring http://sites.science.oregonstate.edu/BridgeBook/book/physics/ring?rev=1347953030 Potentials from Continuous Charge Distributions Activity: A Uniformly Charged Ring text/html 2012-10-28T14:54:00-08:00 book:physics:ringhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/ringhint?rev=1351461240 Activity: Potentials from Continuous Charge Distributions Activity: A Uniformly Charged Ring Wrap-Up: A Uniformly Charged Ring text/html 2012-10-07T15:36:00-08:00 book:physics:ringlimit http://sites.science.oregonstate.edu/BridgeBook/book/physics/ringlimit?rev=1349649360 Activity: A Uniformly Charged Ring Wrap-Up: A Uniformly Charged Ring Common Power Series Activity: Power Series for Dipoles Wrap-Up: Power Series for Dipoles Activity: The Ring: Limits Near and Far text/html 2012-12-31T20:44:00-08:00 book:physics:ringlimithint http://sites.science.oregonstate.edu/BridgeBook/book/physics/ringlimithint?rev=1357015440 Activity: A Uniformly Charged Ring Wrap-Up: A Uniformly Charged Ring Common Power Series Activity: Power Series for Dipoles Wrap-Up: Power Series for Dipoles Wrap-Up: The Ring: Limits Near and Far text/html 2012-10-31T17:41:00-08:00 book:physics:scalarfields http://sites.science.oregonstate.edu/BridgeBook/book/physics/scalarfields?rev=1351730460 Vectors Scalar Fields text/html 2010-06-20T10:38:38-08:00 book:physics:second2 http://sites.science.oregonstate.edu/BridgeBook/book/physics/second2?rev=1277055518 (coming soon) Second derivatives and Maxwell's Equations text/html 2009-10-17T14:59:00-08:00 book:physics:start http://sites.science.oregonstate.edu/BridgeBook/book/physics/start?rev=1255816740 Part II: Physics UNDER CONSTRUCTION Our long-term plan is to include links within the physics sections to the relevant sections from the math part of the book, at which point we will post a standalone table of contents for the physics part of the book here. text/html 2012-10-28T14:29:00-08:00 book:physics:superposition http://sites.science.oregonstate.edu/BridgeBook/book/physics/superposition?rev=1351459740 Electrostatic and Gravitational Potentials The Distance between Two Objects Superposition of Discrete Sources text/html 2010-06-20T10:38:38-08:00 book:physics:totalcharge http://sites.science.oregonstate.edu/BridgeBook/book/physics/totalcharge?rev=1277055518 Volume Integrals Total Charge text/html 2010-06-20T10:38:38-08:00 book:physics:totalchargehint http://sites.science.oregonstate.edu/BridgeBook/book/physics/totalchargehint?rev=1277055518 (coming soon) More Total Charge text/html 2012-10-15T15:34:00-08:00 book:physics:triangle http://sites.science.oregonstate.edu/BridgeBook/book/physics/triangle?rev=1350340440 The Relationship between Magnetostatic Potentials, Fields, and Sources text/html 2012-10-07T20:15:00-08:00 book:physics:veufact http://sites.science.oregonstate.edu/BridgeBook/book/physics/veufact?rev=1349666100 (coming soon) Activity: Concept Map: VEUF text/html 2012-10-07T20:20:00-08:00 book:physics:veufhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/veufhint?rev=1349666400 Activity: Concept Map: VEUF Wrap-Up: Concept Map: VEUF text/html 2012-12-31T11:45:00-08:00 book:physics:visv http://sites.science.oregonstate.edu/BridgeBook/book/physics/visv?rev=1356983100 Scalar Fields Activity: Using Technology to Visualize Potentials text/html 2012-10-28T14:45:00-08:00 book:physics:visvhint http://sites.science.oregonstate.edu/BridgeBook/book/physics/visvhint?rev=1351460700 Activity: Using Technology to Visualize Potentials Wrap-Up: Using Technology to Visualize Potentials text/html 2012-10-30T22:48:00-08:00 book:physics:vlinefinite http://sites.science.oregonstate.edu/BridgeBook/book/physics/vlinefinite?rev=1351662480 (coming soon) Potential due to a Finite Line of Charge text/html 2012-12-31T11:50:00-08:00 book:physics:vlineinf http://sites.science.oregonstate.edu/BridgeBook/book/physics/vlineinf?rev=1356983400 (coming soon) Potential due to an Infinite Line of Charge text/html 2012-09-14T12:24:19-08:00 book:physics:voltmeters http://sites.science.oregonstate.edu/BridgeBook/book/physics/voltmeters?rev=1347650659 Voltmeters text/html 2012-10-08T11:33:00-08:00 book:physics:vpoints http://sites.science.oregonstate.edu/BridgeBook/book/physics/vpoints?rev=1349721180 Activity: Dipoles Common Power Series Theorems about Power Series Activity: Power Series for Dipoles text/html 2012-10-08T11:44:00-08:00 book:physics:vpoints2 http://sites.science.oregonstate.edu/BridgeBook/book/physics/vpoints2?rev=1349721840 The Distance between Two Ojects Superposition of Discrete Sources Activity: Dipoles text/html 2012-10-08T11:50:00-08:00 book:physics:vpoints2hint http://sites.science.oregonstate.edu/BridgeBook/book/physics/vpoints2hint?rev=1349722200 Activity: Diploes Wrap-Up: Dipoles text/html 2012-10-28T14:14:00-08:00 book:physics:vpointshint http://sites.science.oregonstate.edu/BridgeBook/book/physics/vpointshint?rev=1351458840 Activity: Power Series for Dipoles Wrap-Up: Power Series for Dipoles text/html 2012-10-10T20:03:00-08:00 book:physics:vpot http://sites.science.oregonstate.edu/BridgeBook/book/physics/vpot?rev=1349924580 Potentials from Continuous Charge Distributions Electric Fields from Continuous Charge Distributions Magnetic Vector Potential text/html 2010-06-20T10:38:38-08:00 book:physics:wire http://sites.science.oregonstate.edu/BridgeBook/book/physics/wire?rev=1277055518 (coming soon) The Magnetic Field of a Straight Wire