http://sites.science.oregonstate.edu/BridgeBook/ 2020-01-26T14:52:51-08:00 http://sites.science.oregonstate.edu/BridgeBook/ http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.ico text/html 2015-08-21T12:20:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/vec/basics?rev=1440184800 Vector Calculus Unit 1: Basics: Coordinates and Vectors (ss)Vectors(ss)The Dot Product(ss)The Law of Cosines(ss)Curvilinear Coordinates(ss)Activity: Curvilinear Basis Vectors(ss)Wrap-Up: Curvilinear Basis Vectors(ss)Vector Fields(ss)Differentials(ss)The Vector Differential(ss)Other Coordinate Systems(ss)Activity: Determining $d\rr$ in Cylindrical and Spherical Coordinates(ss)Wrap-Up: Coordinate Expressions for $d\rr$ Unit 2: Basics: The Gradient text/html 2015-08-21T12:24:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/vec/derivs?rev=1440185040 Vector Calculus Unit 1: Basics: Coordinates and Vectors Unit 2: Basics: The Gradient Unit 3: Line Integrals Unit 4: Surface Integrals Unit 5: Vector Derivatives (ss)Divergence(ss)The Divergence Theorem(ss)The Divergence in Curvilinear Coordinates(ss)Curl(ss)The Geometry of Curl(ss)Formulas for Div, Grad, Curl(ss)Stokes' Theorem(ss)Visualizing Divergence and Curl(ss)Product Rules(ss)Integration by parts(ss)Second derivatives(ss)The Laplacian text/html 2012-09-20T21:24:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/vec/gradient?rev=1348201440 Vector Calculus Unit 1: Basics: Coordinates and Vectors Unit 2: Basics: The Gradient (ss)The Multivariable Differential(ss)Gradient(ss)Properties of the Gradient(ss)Directional Derivatives(ss)The Gradient in Curvilinear Coordinates Unit 3: Line Integrals text/html 2015-08-21T12:22:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/vec/line?rev=1440184920 Vector Calculus Unit 1: Basics: Coordinates and Vectors Unit 2: Basics: The Gradient Unit 3: Line Integrals (ss)Integration(ss)Curves(ss)Line Integrals(ss)Scalar Line Integrals(ss)Vector Line Integrals(ss)Circulation(ss)Use What You Know(ss)Independence of Path(ss)Conservative Vector Fields(ss)Finding Potential Functions(ss) Visualizing Conservative Vector Fields Unit 4: Surface Integrals text/html 2011-10-15T08:02:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/vec/start?rev=1318690920 Vector Calculus Unit 1: Basics: Coordinates and Vectors Unit 2: Basics: The Gradient Unit 3: Line Integrals Unit 4: Surface Integrals Unit 5: Vector Derivatives text/html 2015-08-21T12:23:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/vec/surface?rev=1440184980 Vector Calculus Unit 1: Basics: Coordinates and Vectors Unit 2: Basics: The Gradient Unit 3: Line Integrals Unit 4: Surface Integrals (ss)Surfaces(ss)Simple Surface Elements(ss)The Cross Product(ss)Surface Elements(ss)Activity: Surface Elements on Planes, Cylinders and Spheres(ss)Wrapup: Surface Elements on Planes, Cylinders, and Spheres(ss)Flux(ss)Highly Symmetric Surfaces(ss)Less Symmetric Surfaces(ss)Spheres in Cylindrical Coordinates(ss)Parametric Surfaces(ss)Scalar Surface Integral… text/html 2011-10-15T08:02:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/vec/vec?rev=1318690920 Vector Calculus Unit 1: Basics: Coordinates and Vectors Unit 2: Basics: The Gradient Unit 3: Line Integrals Unit 4: Surface Integrals Unit 5: Vector Derivatives