The Geometry of Vector Calculus toc:fields http://sites.science.oregonstate.edu/BridgeBook/ 2020-01-26T14:53:15-08:00 The Geometry of Vector Calculus http://sites.science.oregonstate.edu/BridgeBook/ http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.ico text/html 2012-10-08T10:51:21-08:00 toc:fields:422review http://sites.science.oregonstate.edu/BridgeBook/toc/fields/422review?rev=1349718681 Static Vector Fields Unit 1: Gauss's Law (Integral Form) Unit 2: Gauss's Law (Differential Form) Unit 3: Current, Magnetic Potentials, and Magnetic Fields Unit 4: Ampère's Law Unit 5: Conductors and Boundary Conditions Unit 6: Energy, Conservative Fields, and Divergenceless Fields text/html 2012-10-23T21:29:00-08:00 toc:fields:ampere http://sites.science.oregonstate.edu/BridgeBook/toc/fields/ampere?rev=1351052940 Static Vector Fields Unit 1: Gauss's Law (Integral Form) Unit 2: Gauss's Law (Differential Form) Unit 3: Current, Magnetic Potentials, and Magnetic Fields Unit 4: Ampère's Law (ss) Ampère's Law(ss) Ampère's Law and Symmetry(ss)Activity: Ampère's Law on Cylinders(ss)Wrap-Up: Ampère's Law on Cylinders(ss)Curl (review)(ss)Stokes' Theorem(ss)Differential Form of Ampère's Law Unit 5: Conductors and Boundary Conditions text/html 2012-10-08T22:02:32-08:00 toc:fields:boundary http://sites.science.oregonstate.edu/BridgeBook/toc/fields/boundary?rev=1349758952 Static Vector Fields Unit 1: Gauss's Law (Integral Form) Unit 2: Gauss's Law (Differential Form) Unit 3: Current, Magnetic Potentials, and Magnetic Fields Unit 4: Ampère's Law Unit 5: Conductors and Boundary Conditions (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 Delta Function and Densities(ss)Conductors(ss)Dot Products and Components(ss) Ac… text/html 2012-10-10T20:27:00-08:00 toc:fields:energy http://sites.science.oregonstate.edu/BridgeBook/toc/fields/energy?rev=1349926020 Static Vector Fields Unit 1: Gauss's Law (Integral Form) Unit 2: Gauss's Law (Differential Form) Unit 3: Current, Magnetic Potentials, and Magnetic Fields Unit 4: Ampère's Law Unit 5: Conductors and Boundary Conditions Unit 6: Conservative Fields and Energy (ss)Integration by Parts(ss)Electrostatic Energy(ss)Activity: Curl-Free (Conservative) Vector Fields(ss)Wrap-Up: Curl-Free (Conservative) Vector Fields(ss)Activity: Divergence-Free Vector Fields(ss)Wrap-Up: Divergence-Free Ve… text/html 2012-10-08T10:51:21-08:00 toc:fields:fields http://sites.science.oregonstate.edu/BridgeBook/toc/fields/fields?rev=1349718681 Static Vector Fields Unit 1: Gauss's Law (Integral Form) Unit 2: Gauss's Law (Differential Form) Unit 3: Current, Magnetic Potentials, and Magnetic Fields Unit 4: Ampère's Law Unit 5: Conductors and Boundary Conditions Unit 6: Energy, Conservative Fields, and Divergenceless Fields text/html 2012-10-23T17:14:00-08:00 toc:fields:gauss http://sites.science.oregonstate.edu/BridgeBook/toc/fields/gauss?rev=1351037640 Static Vector Fields Unit 1: Gauss's Law (Integral Form) (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)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 2: Gauss's … text/html 2012-10-10T20:29:00-08:00 toc:fields:gaussdiff http://sites.science.oregonstate.edu/BridgeBook/toc/fields/gaussdiff?rev=1349926140 Static Vector Fields Unit 1: Gauss's Law (Integral Form) Unit 2: 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 Unit 3: Current, Magnetic Potentials, and Magnetic Fields text/html 2012-10-10T20:42:00-08:00 toc:fields:magfield http://sites.science.oregonstate.edu/BridgeBook/toc/fields/magfield?rev=1349926920 Static Vector Fields Unit 1: Gauss's Law (Integral Form) Unit 2: Gauss's Law (Differential Form) Unit 3: Current and Magnetic Fields (ss)Current(ss)Line Integrals(ss)Vector Line Integrals(ss)Use What You Know(ss)Magnetic Vector Potential(ss)Activity: Magnetic Vector Potential of a Spinning Ring(ss)Wrap-Up: Magnetic Vector Potential of a Spinning Ring(ss)Curl(ss)Activity: Visualizing Curl(ss)Wrap-Up: Visualizing Curl(ss)Product Rules(ss)The Biot-Savart Law(ss) Magnetic Field of a Straight…