http://sites.science.oregonstate.edu/BridgeBook/ 2020-01-26T14:52:33-08:00 http://sites.science.oregonstate.edu/BridgeBook/ http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.ico text/html 2015-08-27T15:37:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/apps?rev=1440715020 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives Unit 3: Vectors Unit 4: Gradient Unit 5: Applications (ss)Optimization(ss)Second Derivative Test(ss)Lagrange Multipliers(ss)Lagrange Multipliers Revisited(ss)Curves(ss)Motion in Space(ss)Arc Length(ss)Curvature(ss)Change of Variables text/html 2013-11-29T14:45:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/coords?rev=1385765100 Multivariable Calculus: Traditional Unit 1: Coordinates and Vectors (ss)Curvilinear Coordinates(ss)Vectors(ss)The Dot Product(ss)The Law of Cosines(ss)The Cross Product(ss)Lines and Curves(ss)Motion in Space(ss)Arc Length(ss)Curvature Unit 2: Partial Derivatives text/html 2015-08-21T11:58:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/early?rev=1440183480 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives Unit 3: Vectors Unit 4: Gradient Unit 5: Applications text/html 2015-08-21T12:17:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/gradient?rev=1440184620 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives Unit 3: Vectors Unit 4: Gradient (ss)Gradient(ss)The Geometry of the Gradient(ss)Properties of the Gradient(ss)Directional Derivatives(ss)The Gradient in Curvilinear Coordinates Unit 5: Applications text/html 2015-08-21T12:17:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/gradiente?rev=1440184620 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives Unit 3: Vectors Unit 4: Gradient (ss)Gradient(ss)The Geometry of the Gradient(ss)Properties of the Gradient(ss)Directional Derivatives(ss)The Gradient in Curvilinear Coordinates Unit 5: Applications text/html 2015-08-26T17:49:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/mints?rev=1440636540 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals (ss)Review of Single Variable Integration(ss)Surfaces(ss)Level Sets(ss)Double Integrals(ss)Triple Integrals(ss)Order of Integration(ss)Non-Constant Limits of Integration(ss)Polar Coordinates(ss)Curvilinear Coordinates(ss)Double Integrals in Polar Coordinates(ss)Calculating Infinitesimal Distance in Cylindrical and Spherical Coordinates(ss)Infinitesimal Distance in Cylindrical and Spherical Coordinates(ss)Activity: Scalar S… text/html 2015-08-26T17:49:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/mintse?rev=1440636540 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals (ss)Review of Single Variable Integration(ss)Surfaces(ss)Level Sets(ss)Double Integrals(ss)Triple Integrals(ss)Order of Integration(ss)Non-Constant Limits of Integration(ss)Polar Coordinates(ss)Curvilinear Coordinates(ss)Double Integrals in Polar Coordinates(ss)Calculating Infinitesimal Distance in Cylindrical and Spherical Coordinates(ss)Infinitesimal Distance in Cylindrical and Spherical Coordinates(ss)Activity: Scalar S… text/html 2015-08-21T11:58:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/multi2?rev=1440183480 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives Unit 3: Vectors Unit 4: Gradient Unit 5: Applications text/html 2015-08-29T12:53:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/pderivs?rev=1440877980 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives (ss) Review of Single Variable Differentiation(ss)Thick Derivatives(ss)Differentials(ss)The Multivariable Differential(ss)Chain Rule(ss)Chain Rule via Tree Diagrams(ss)Applications of Chain Rule(ss)Rearranging Differentials(ss)Things not to do with Differentials Unit 3: Vectors text/html 2015-08-29T12:53:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/pderivse?rev=1440877980 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives (ss) Review of Single Variable Differentiation(ss)Thick Derivatives(ss)Differentials(ss)The Multivariable Differential(ss)Chain Rule(ss)Chain Rule via Tree Diagrams(ss)Applications of Chain Rule(ss)Rearranging Differentials(ss)Things not to do with Differentials Unit 3: Vectors text/html 2015-08-21T11:58:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/start?rev=1440183480 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives Unit 3: Vectors Unit 4: Gradient Unit 5: Applications text/html 2015-08-21T12:15:00-08:00 http://sites.science.oregonstate.edu/BridgeBook/toc/multi2/vectors?rev=1440184500 Multivariable Calculus: Early Integration Unit 1: Multiple Integrals Unit 2: Partial Derivatives Unit 3: Vectors (ss)Vectors(ss)The Dot Product(ss)The Law of Cosines(ss)The Cross Product(ss)Activity: Curvilinear Basis Vectors(ss)Wrap-Up: Curvilinear Basis Vectors(ss)Vector Fields(ss)Orthogonality(ss)Lines and Planes Unit 4: Gradient