The Geometry of Vector Calculus book:math http://sites.science.oregonstate.edu/BridgeBook/ 2020-01-26T14:55:52-08:00 The Geometry of Vector Calculus http://sites.science.oregonstate.edu/BridgeBook/ http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.ico text/html 2010-11-24T14:34:54-08:00 book:math:2ndderivtest http://sites.science.oregonstate.edu/BridgeBook/book/math/2ndderivtest?rev=1290638094 Curvature and the Second Derivative Test text/html 2015-08-22T14:44:00-08:00 book:math:acknowledge http://sites.science.oregonstate.edu/BridgeBook/book/math/acknowledge?rev=1440279840 Acknowledgments text/html 2010-10-23T09:52:44-08:00 book:math:arclength http://sites.science.oregonstate.edu/BridgeBook/book/math/arclength?rev=1287852764 Arc Length text/html 2012-12-01T19:23:00-08:00 book:math:basisvectors http://sites.science.oregonstate.edu/BridgeBook/book/math/basisvectors?rev=1354418580 Vectors Curvilinear Coords Activity: Curvilinear Basis Vectors text/html 2012-12-01T19:25:00-08:00 book:math:basisvectorshint http://sites.science.oregonstate.edu/BridgeBook/book/math/basisvectorshint?rev=1354418700 Curvilinear Coords Activity: Curvilinear Basis Vectors Wrap-Up: Curvilinear Basis Vectors text/html 2010-06-20T10:38:38-08:00 book:math:ch1 http://sites.science.oregonstate.edu/BridgeBook/book/math/ch1?rev=1277055518 Part I: Mathematics Chapter 1: Coordinates and Vectors (ss)Vectors(ss)The Dot Product(ss)Curvilinear Coordinates(ss)Basis Vectors(ss)More Basis Vectors(ss)The Vector Differential(ss)Other Coordinate Systems(ss)Calculating Line Elments in Cylindrical and Spherical Coordinates(ss)Coordinate Expressions Chapter 2: Integrals text/html 2010-07-28T16:21:08-08:00 book:math:ch2 http://sites.science.oregonstate.edu/BridgeBook/book/math/ch2?rev=1280359268 Part I: Mathematics Chapter 1: Coordinates and Vectors Chapter 2: Integrals (ss)Densities(ss)Integration(ss)Line Integrals(ss)Vector Line Integrals(ss)Use What You Know(ss)Surfaces(ss)The Cross Product(ss)Surface Elements(ss)Surface Elements on Cylinders and Spheres(ss)More 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 Integrals(ss)The Triple … text/html 2010-07-28T17:02:12-08:00 book:math:ch3 http://sites.science.oregonstate.edu/BridgeBook/book/math/ch3?rev=1280361732 Part I: Mathematics Chapter 1: Coordinates and Vectors Chapter 2: Integrals Chapter 3: Derivatives (ss)Partial Derivatives(ss)Gradient(ss)Directional Derivatives(ss)The Gradient in Curvilinear Coordinates(ss)Independence of Path(ss)Conservative Vector Fields(ss)Finding Potential Functions(ss)Visualizing Conservative Vector Fields(ss)Divergence(ss)The Divergence Theorem(ss)The Divergence in Curvilinear Coordinates(ss)Curl(ss)Stokes' Theorem(ss)Visualizing Divergence and Curl(ss)Product Rule… text/html 2010-06-20T10:38:38-08:00 book:math:ch4 http://sites.science.oregonstate.edu/BridgeBook/book/math/ch4?rev=1277055518 Part I: Mathematics Chapter 1: Coordinates and Vectors Chapter 2: Integrals Chapter 3: Derivatives Chapter 4: Power Series (ss)Power Series(ss)Power Series Coefficients(ss)Finding Coefficients for Power Series(ss)Dimensions in Power Series(ss)Getting Started with Maple(ss)Approximations using Power Series(ss)Maple Worksheet on Power Series(ss)Common Power Series(ss)Convergence of Power Series(ss)Properties of Power Series Chapter 5: Delta Functions text/html 2010-06-20T10:38:38-08:00 book:math:ch5 http://sites.science.oregonstate.edu/BridgeBook/book/math/ch5?rev=1277055518 Part I: Mathematics Chapter 1: Coordinates and Vectors Chapter 2: Integrals Chapter 3: Derivatives Chapter 4: Power Series Chapter 5: Delta Functions (ss)Step Functions(ss)The Dirac Delta Function(ss)Exercise: Delta Functions 1(ss)Properties of the Dirac Delta Function(ss)Exercise: Delta Functions 2(ss)Representations of the Dirac Delta Function(ss)The Dirac Delta Function in Three Dimensions(ss)The Dirac Delta Function and Densities text/html 2012-04-01T09:20:53-08:00 book:math:chain http://sites.science.oregonstate.edu/BridgeBook/book/math/chain?rev=1333297253 The Multivariable Differential Chain Rule text/html 2011-04-21T14:18:10-08:00 book:math:chainapp http://sites.science.oregonstate.edu/BridgeBook/book/math/chainapp?rev=1303420690 Applications of Chain Rule text/html 2016-04-21T10:39:00-08:00 book:math:chainddiag http://sites.science.oregonstate.edu/BridgeBook/book/math/chainddiag?rev=1461260340 Chain Rule via Differential Tree Diagrams text/html 2012-04-03T12:06:11-08:00 book:math:chaindiag http://sites.science.oregonstate.edu/BridgeBook/book/math/chaindiag?rev=1333479971 Chain Rule via Tree Diagrams text/html 2015-08-21T19:15:00-08:00 book:math:choosing http://sites.science.oregonstate.edu/BridgeBook/book/math/choosing?rev=1440209700 Triple Integrals Non-Constant Limits Choosing a Coordinate System text/html 2012-10-27T15:16:00-08:00 book:math:circulation http://sites.science.oregonstate.edu/BridgeBook/book/math/circulation?rev=1351376160 Line Integrals Vector Line Integrals Circulation text/html 2010-06-20T10:38:38-08:00 book:math:conservative http://sites.science.oregonstate.edu/BridgeBook/book/math/conservative?rev=1277055518 Path Independence Conservative Vector Fields text/html 2010-06-20T10:38:38-08:00 book:math:convergence http://sites.science.oregonstate.edu/BridgeBook/book/math/convergence?rev=1277055518 (coming soon) Convergence of Power Series text/html 2012-09-11T11:07:00-08:00 book:math:coords http://sites.science.oregonstate.edu/BridgeBook/book/math/coords?rev=1347386820 Curvilinear Coordinates text/html 2012-12-01T19:20:00-08:00 book:math:coords2 http://sites.science.oregonstate.edu/BridgeBook/book/math/coords2?rev=1354418400 Polar Coordinates Curvilinear Coordinates text/html 2010-09-05T13:49:34-08:00 book:math:cov http://sites.science.oregonstate.edu/BridgeBook/book/math/cov?rev=1283719774 Surface Elements Scalar Surface Integrals Change of Variables text/html 2010-10-23T10:01:13-08:00 book:math:cross2 http://sites.science.oregonstate.edu/BridgeBook/book/math/cross2?rev=1287853273 Vectors The Cross Product text/html 2010-08-19T16:06:05-08:00 book:math:csint http://sites.science.oregonstate.edu/BridgeBook/book/math/csint?rev=1282259165 Triple Integrals in Cylindrical and Spherical Coordinates text/html 2012-12-31T11:36:00-08:00 book:math:curl2 http://sites.science.oregonstate.edu/BridgeBook/book/math/curl2?rev=1356982560 Circulation Curl text/html 2010-10-23T10:05:44-08:00 book:math:curvature http://sites.science.oregonstate.edu/BridgeBook/book/math/curvature?rev=1287853544 Curvature text/html 2012-10-28T10:37:00-08:00 book:math:curves http://sites.science.oregonstate.edu/BridgeBook/book/math/curves?rev=1351445820 None Curves text/html 2013-01-26T14:30:00-08:00 book:math:curvilinear http://sites.science.oregonstate.edu/BridgeBook/book/math/curvilinear?rev=1359239400 Calculating Line Elements in Cylindrical and Spherical Coordinates by Corinne Manogue and Katherine Meyer (c) 1997 & 2004 Corinne A. Manogue text/html 2013-01-26T14:29:00-08:00 book:math:curvint http://sites.science.oregonstate.edu/BridgeBook/book/math/curvint?rev=1359239340 Curvilinear Coordinates Triple Integrals Activity: Scalar Surface and Volume Elements Triple Integrals in Cylindrical and Spherical Coordinates text/html 2010-08-19T16:06:05-08:00 book:math:cylsph http://sites.science.oregonstate.edu/BridgeBook/book/math/cylsph?rev=1282259165 Cylindrical and Spherical Coordinates text/html 2012-09-15T10:17:00-08:00 book:math:da http://sites.science.oregonstate.edu/BridgeBook/book/math/da?rev=1347729420 (coming soon) Simple Surface Elements text/html 2012-09-17T16:16:00-08:00 book:math:dadvcurvi http://sites.science.oregonstate.edu/BridgeBook/book/math/dadvcurvi?rev=1347923760 Surface Elements Activity: Surface Elements on Planes, Cylinders and Spheres text/html 2013-11-10T22:05:22-08:00 book:math:dadvcurvihint http://sites.science.oregonstate.edu/BridgeBook/book/math/dadvcurvihint?rev=1384149922 Activity: Surface Elements Wrap-Up: Surface Elements on Planes, Cylinders, and Spheres text/html 2012-09-30T18:50:26-08:00 book:math:dadvs http://sites.science.oregonstate.edu/BridgeBook/book/math/dadvs?rev=1349056226 (coming soon) Activity: Scalar Surface and Volume Elements text/html 2013-01-26T14:29:00-08:00 book:math:dadvshint http://sites.science.oregonstate.edu/BridgeBook/book/math/dadvshint?rev=1359239340 Double Integrals Polar Integrals Curvilinear Coordinates Activity: Scalar Surface and Volume Elements Wrap-Up: Scalar Surface and Volume Elements text/html 2013-11-10T22:04:35-08:00 book:math:davec http://sites.science.oregonstate.edu/BridgeBook/book/math/davec?rev=1384149875 Surfaces The Cross Product Vector Differential Coord Expressions General Surface Elements text/html 2010-06-20T10:38:38-08:00 book:math:delta3d http://sites.science.oregonstate.edu/BridgeBook/book/math/delta3d?rev=1277055518 The Dirac Delta Function The Dirac Delta Function in Three Dimensions text/html 2012-10-31T17:46:00-08:00 book:math:deltadensity http://sites.science.oregonstate.edu/BridgeBook/book/math/deltadensity?rev=1351730760 Densities The Dirac Delta Function The Dirac Delta Function and Densities text/html 2017-04-04T09:42:00-08:00 book:math:deltaexp http://sites.science.oregonstate.edu/BridgeBook/book/math/deltaexp?rev=1491324120 The Dirac Delta Function The Exponential Representation of the Delta Function text/html 2012-10-28T11:52:00-08:00 book:math:deltaintro http://sites.science.oregonstate.edu/BridgeBook/book/math/deltaintro?rev=1351450320 Step Functions The Dirac Delta Function text/html 2012-10-28T11:48:00-08:00 book:math:deltaproperties http://sites.science.oregonstate.edu/BridgeBook/book/math/deltaproperties?rev=1351450080 The Dirac Delta Function Properties of the Dirac Delta Function text/html 2010-06-20T10:38:38-08:00 book:math:deltareps http://sites.science.oregonstate.edu/BridgeBook/book/math/deltareps?rev=1277055518 The Dirac Delta Function Representations of the Dirac Delta Function text/html 2012-09-30T20:28:22-08:00 book:math:densities http://sites.science.oregonstate.edu/BridgeBook/book/math/densities?rev=1349062102 Dimensions Densities text/html 2012-09-20T10:58:56-08:00 book:math:densitystep http://sites.science.oregonstate.edu/BridgeBook/book/math/densitystep?rev=1348163936 Densities Step Functions Densities with Step Functions text/html 2015-08-29T12:48:00-08:00 book:math:diffreview http://sites.science.oregonstate.edu/BridgeBook/book/math/diffreview?rev=1440877680 (coming soon) Review of Single Variable Differentation text/html 2010-06-20T10:38:38-08:00 book:math:directionderiv http://sites.science.oregonstate.edu/BridgeBook/book/math/directionderiv?rev=1277055518 Gradient Gradient Properties Directional Derivatives text/html 2012-10-28T11:47:00-08:00 book:math:divcoord http://sites.science.oregonstate.edu/BridgeBook/book/math/divcoord?rev=1351450020 Flux Divergence The Divergence in Curvilinear Coordinates text/html 2012-12-31T11:34:00-08:00 book:math:divergence http://sites.science.oregonstate.edu/BridgeBook/book/math/divergence?rev=1356982440 Flux Divergence text/html 2015-08-19T09:33:00-08:00 book:math:divgradcurl http://sites.science.oregonstate.edu/BridgeBook/book/math/divgradcurl?rev=1440001980 (coming soon) Formulas for Div, Grad, Curl text/html 2012-10-20T11:07:00-08:00 book:math:divthm http://sites.science.oregonstate.edu/BridgeBook/book/math/divthm?rev=1350756420 Flux Divergence The Divergence Theorem text/html 2012-12-01T19:17:00-08:00 book:math:dot http://sites.science.oregonstate.edu/BridgeBook/book/math/dot?rev=1354418220 Vectors The Dot Product text/html 2013-10-05T13:16:00-08:00 book:math:double http://sites.science.oregonstate.edu/BridgeBook/book/math/double?rev=1381004160 Densities Single Integrals Double Integrals text/html 2012-10-07T10:53:34-08:00 book:math:drcoord http://sites.science.oregonstate.edu/BridgeBook/book/math/drcoord?rev=1349632414 Expressing $d\rr$ in Other Coordinate Systems This worksheet will help you construct the vector differential $d\rr$ in both cylindrical and spherical coordinates. Activity: Expressing $d\rr$ in Cylindrical and Spherical Coordinates text/html 2012-09-11T14:38:00-08:00 book:math:drcoordhint http://sites.science.oregonstate.edu/BridgeBook/book/math/drcoordhint?rev=1347399480 Activity: Coordinate Expressions for $d\rr$ Wrap-Up: Coordinate Expressions for $d\rr$ text/html 2013-02-06T20:07:00-08:00 book:math:drpath http://sites.science.oregonstate.edu/BridgeBook/book/math/drpath?rev=1360210020 Curves Vector Line Integrals Use What You Know text/html 2012-10-31T17:47:00-08:00 book:math:drpolar http://sites.science.oregonstate.edu/BridgeBook/book/math/drpolar?rev=1351730820 Vector Differential Curvilinear Coords Expressing $d\rr$ in Other Coordinate Systems text/html 2012-10-08T18:17:00-08:00 book:math:drvec http://sites.science.oregonstate.edu/BridgeBook/book/math/drvec?rev=1349745420 Vectors Differentials The Vector Differential, $d\rr$ text/html 2013-01-26T14:29:00-08:00 book:math:dscoord http://sites.science.oregonstate.edu/BridgeBook/book/math/dscoord?rev=1359239340 Curvilinear Coordinates Activity: Infinitesimal Distance in Cylindrical and Spherical Coordinates text/html 2012-09-30T18:46:18-08:00 book:math:dscoordhint http://sites.science.oregonstate.edu/BridgeBook/book/math/dscoordhint?rev=1349055978 Activity: Infinitesimal Distance in Cylindrical and Spherical Coordinates Wrap-Up: Infinitesimal Distance in Cylindrical and Spherical Coordinates text/html 2010-06-20T10:38:38-08:00 book:math:exdelta1 http://sites.science.oregonstate.edu/BridgeBook/book/math/exdelta1?rev=1277055518 Step Functions The Dirac Delta Function Exercise: Delta Functions 1 text/html 2012-10-31T17:47:00-08:00 book:math:exdelta2 http://sites.science.oregonstate.edu/BridgeBook/book/math/exdelta2?rev=1351730820 The Dirac Delta Function Properties of the Dirac Delta Function Exercise: Delta Functions 2 text/html 2011-01-12T20:32:21-08:00 book:math:fields http://sites.science.oregonstate.edu/BridgeBook/book/math/fields?rev=1294893141 Vector Fields text/html 2012-10-08T20:19:00-08:00 book:math:flux http://sites.science.oregonstate.edu/BridgeBook/book/math/flux?rev=1349752740 Surface Elements Flux text/html 2010-01-30T18:40:59-08:00 book:math:fluxshort http://sites.science.oregonstate.edu/BridgeBook/book/math/fluxshort?rev=1264905659 Flux text/html 2014-04-01T19:19:00-08:00 book:math:geocurl http://sites.science.oregonstate.edu/BridgeBook/book/math/geocurl?rev=1396405140 Circulation The Geometry of Curl text/html 2014-04-01T19:20:00-08:00 book:math:geograd http://sites.science.oregonstate.edu/BridgeBook/book/math/geograd?rev=1396405200 The Multivariable Differential The Vector Differential The Geometry of Gradient text/html 2012-10-07T17:03:42-08:00 book:math:gradient http://sites.science.oregonstate.edu/BridgeBook/book/math/gradient?rev=1349654622 The Multivariable Differential The Vector Differential Gradient text/html 2012-10-31T17:47:00-08:00 book:math:gradientcurvilinear http://sites.science.oregonstate.edu/BridgeBook/book/math/gradientcurvilinear?rev=1351730820 Gradient Gradient Properties The Gradient in Curvilinear Coordinates text/html 2012-10-30T22:08:00-08:00 book:math:gradprop http://sites.science.oregonstate.edu/BridgeBook/book/math/gradprop?rev=1351660080 The Gradient Properties of the Gradient text/html 2011-02-18T13:48:32-08:00 book:math:graphs http://sites.science.oregonstate.edu/BridgeBook/book/math/graphs?rev=1298065712 Surface Elements Scalar Surface Integrals Graphs of Functions text/html 2013-01-17T13:48:00-08:00 book:math:hisym http://sites.science.oregonstate.edu/BridgeBook/book/math/hisym?rev=1358459280 (coming soon) Highly Symmetric Surfaces text/html 2013-01-17T13:52:00-08:00 book:math:hisymmath http://sites.science.oregonstate.edu/BridgeBook/book/math/hisymmath?rev=1358459520 Surface Elements Flux Highly Symmetric Surfaces text/html 2010-06-20T10:38:38-08:00 book:math:integration http://sites.science.oregonstate.edu/BridgeBook/book/math/integration?rev=1277055518 Integration text/html 2012-10-31T17:47:00-08:00 book:math:intreview http://sites.science.oregonstate.edu/BridgeBook/book/math/intreview?rev=1351730820 (coming soon) Review of Multiple Integration text/html 2015-08-22T14:44:00-08:00 book:math:intro http://sites.science.oregonstate.edu/BridgeBook/book/math/intro?rev=1440279840 Introduction text/html 2010-09-05T12:59:50-08:00 book:math:intsummary http://sites.science.oregonstate.edu/BridgeBook/book/math/intsummary?rev=1283716790 Integration Summary text/html 2013-11-26T15:18:00-08:00 book:math:lagrange http://sites.science.oregonstate.edu/BridgeBook/book/math/lagrange?rev=1385507880 Lagrange Multipliers text/html 2013-12-01T10:10:00-08:00 book:math:lagrange2 http://sites.science.oregonstate.edu/BridgeBook/book/math/lagrange2?rev=1385921400 Lagrange Multipliers Revisited text/html 2011-04-23T16:39:37-08:00 book:math:lagranged http://sites.science.oregonstate.edu/BridgeBook/book/math/lagranged?rev=1303601977 Lagrange Multipliers using Differentials text/html 2012-10-30T08:50:47-08:00 book:math:laplacian http://sites.science.oregonstate.edu/BridgeBook/book/math/laplacian?rev=1351612247 Gradient Divergence The Laplacian text/html 2012-12-01T19:18:00-08:00 book:math:law http://sites.science.oregonstate.edu/BridgeBook/book/math/law?rev=1354418280 Vectors Dot Product The Law of Cosines text/html 2013-10-05T13:00:00-08:00 book:math:level http://sites.science.oregonstate.edu/BridgeBook/book/math/level?rev=1381003200 Level Sets text/html 2012-12-31T20:37:00-08:00 book:math:limits http://sites.science.oregonstate.edu/BridgeBook/book/math/limits?rev=1357015020 Double Integrals Triple Integrals Non-Constant Limits of Integration text/html 2012-10-31T17:48:00-08:00 book:math:lineint http://sites.science.oregonstate.edu/BridgeBook/book/math/lineint?rev=1351730880 (coming soon) Line Integrals text/html 2012-09-15T09:44:00-08:00 book:math:lineintp http://sites.science.oregonstate.edu/BridgeBook/book/math/lineintp?rev=1347727440 (coming soon) Line Integrals on Parametric Curves text/html 2012-09-15T08:54:00-08:00 book:math:lineints http://sites.science.oregonstate.edu/BridgeBook/book/math/lineints?rev=1347724440 Integration Curves Vector Differential Scalar Line Integrals text/html 2012-09-15T09:50:00-08:00 book:math:lineintv http://sites.science.oregonstate.edu/BridgeBook/book/math/lineintv?rev=1347727800 Integration Curves Vector Differential Vector Line Integrals text/html 2012-10-31T17:48:00-08:00 book:math:losym http://sites.science.oregonstate.edu/BridgeBook/book/math/losym?rev=1351730880 Surface Elements Flux High Symmetry Less Symmetric Surfaces text/html 2012-12-31T11:44:00-08:00 book:math:mapleintro http://sites.science.oregonstate.edu/BridgeBook/book/math/mapleintro?rev=1356983040 (coming soon) Getting Started with Maple text/html 2010-10-21T21:00:30-08:00 book:math:mass http://sites.science.oregonstate.edu/BridgeBook/book/math/mass?rev=1287720030 Mass and Center of Mass text/html 2013-10-20T13:24:00-08:00 book:math:maxmin http://sites.science.oregonstate.edu/BridgeBook/book/math/maxmin?rev=1382300640 Optimization text/html 2013-11-19T21:14:00-08:00 book:math:maxmin2 http://sites.science.oregonstate.edu/BridgeBook/book/math/maxmin2?rev=1384924440 Second Derivative Test text/html 2013-11-14T13:19:00-08:00 book:math:mmm http://sites.science.oregonstate.edu/BridgeBook/book/math/mmm?rev=1384463940 Path Independence Conservative Fields Finding Potential Functions text/html 2010-10-23T09:56:38-08:00 book:math:motion http://sites.science.oregonstate.edu/BridgeBook/book/math/motion?rev=1287852998 Motion in Space text/html 2012-10-28T10:35:00-08:00 book:math:msurfaces http://sites.science.oregonstate.edu/BridgeBook/book/math/msurfaces?rev=1351445700 Surfaces text/html 2013-10-20T12:40:00-08:00 book:math:notation http://sites.science.oregonstate.edu/BridgeBook/book/math/notation?rev=1382298000 Notation text/html 2013-10-20T13:40:00-08:00 book:math:notdiff http://sites.science.oregonstate.edu/BridgeBook/book/math/notdiff?rev=1382301600 Things not to do with Differentials text/html 2013-10-05T14:25:00-08:00 book:math:order http://sites.science.oregonstate.edu/BridgeBook/book/math/order?rev=1381008300 Double Integrals Order of Integration text/html 2012-09-12T12:30:00-08:00 book:math:orthogonal http://sites.science.oregonstate.edu/BridgeBook/book/math/orthogonal?rev=1347478200 Orthogonality text/html 2012-10-28T10:32:00-08:00 book:math:parametric http://sites.science.oregonstate.edu/BridgeBook/book/math/parametric?rev=1351445520 Surface Elements Parametric Surfaces text/html 2013-10-20T13:33:00-08:00 book:math:partial http://sites.science.oregonstate.edu/BridgeBook/book/math/partial?rev=1382301180 Using Differentials The Multivariable Differential text/html 2010-06-20T10:38:38-08:00 book:math:parts http://sites.science.oregonstate.edu/BridgeBook/book/math/parts?rev=1277055518 The Gradient Divergence Divergence Thm Integration by parts text/html 2012-10-31T17:48:00-08:00 book:math:path http://sites.science.oregonstate.edu/BridgeBook/book/math/path?rev=1351730880 The Gradient Vector Line Integrals Independence of Path text/html 2010-10-23T09:49:00-08:00 book:math:pcurves http://sites.science.oregonstate.edu/BridgeBook/book/math/pcurves?rev=1287852540 (coming soon) Parametric Curves text/html 2013-11-24T14:57:00-08:00 book:math:planes http://sites.science.oregonstate.edu/BridgeBook/book/math/planes?rev=1385333820 Lines and Planes text/html 2012-09-23T20:12:00-08:00 book:math:polar http://sites.science.oregonstate.edu/BridgeBook/book/math/polar?rev=1348456320 Dimensions Polar Coordinates text/html 2012-09-15T22:01:00-08:00 book:math:polarint http://sites.science.oregonstate.edu/BridgeBook/book/math/polarint?rev=1347771660 Polar Coordinates Double Integrals Double Integrals in Polar Coordinates text/html 2012-12-31T11:43:00-08:00 book:math:powerapprox http://sites.science.oregonstate.edu/BridgeBook/book/math/powerapprox?rev=1356982980 Power Series Activity: Finding Power Series Coefficients Approximations Using Power Series Activity: Using Technology to Visualize Power Series Approximations text/html 2012-09-15T16:51:39-08:00 book:math:powerapproxhint http://sites.science.oregonstate.edu/BridgeBook/book/math/powerapproxhint?rev=1347753099 Power Series Activity: Finding Power Series Coefficients Approximations Using Power Series Using Technology to Visualize Power Series Approximations Wrap-Up: Using Technology to Visualize Power Series Approximations text/html 2012-09-15T16:54:06-08:00 book:math:powermemorize http://sites.science.oregonstate.edu/BridgeBook/book/math/powermemorize?rev=1347753246 Power Series Common Power Series text/html 2012-10-31T17:48:00-08:00 book:math:powerseriescoeff http://sites.science.oregonstate.edu/BridgeBook/book/math/powerseriescoeff?rev=1351730880 Power Series Activity: Finding Power Series Coefficients text/html 2012-10-28T10:28:00-08:00 book:math:powerseriescoeffhint http://sites.science.oregonstate.edu/BridgeBook/book/math/powerseriescoeffhint?rev=1351445280 Power Series Activity: Finding Power Series Coefficients Wrap-Up: Finding Power Series Coefficients text/html 2012-10-31T17:50:00-08:00 book:math:powertheory http://sites.science.oregonstate.edu/BridgeBook/book/math/powertheory?rev=1351731000 Power Series Approximations Using Power Series text/html 2015-08-22T14:44:00-08:00 book:math:preface http://sites.science.oregonstate.edu/BridgeBook/book/math/preface?rev=1440279840 Preface text/html 2011-04-23T16:08:31-08:00 book:math:rearrange http://sites.science.oregonstate.edu/BridgeBook/book/math/rearrange?rev=1303600111 Rearranging Differentials text/html 2012-10-10T20:17:00-08:00 book:math:rules http://sites.science.oregonstate.edu/BridgeBook/book/math/rules?rev=1349925420 The Gradient Divergence Curl Product Rules text/html 2012-10-28T10:10:00-08:00 book:math:second http://sites.science.oregonstate.edu/BridgeBook/book/math/second?rev=1351444200 The Gradient Divergence Curl Divergence Thm Stokes' Theorem Second derivatives text/html 2012-10-28T10:20:00-08:00 book:math:series http://sites.science.oregonstate.edu/BridgeBook/book/math/series?rev=1351444800 Power Series text/html 2012-09-14T19:54:54-08:00 book:math:seriesdimension http://sites.science.oregonstate.edu/BridgeBook/book/math/seriesdimension?rev=1347677694 Power Series Dimensions in Power Series text/html 2012-10-31T17:43:00-08:00 book:math:seriesthms http://sites.science.oregonstate.edu/BridgeBook/book/math/seriesthms?rev=1351730580 Power Series Common Power Series Theorems about Power Series text/html 2013-10-05T13:12:00-08:00 book:math:single http://sites.science.oregonstate.edu/BridgeBook/book/math/single?rev=1381003920 Using Differentials Densities Review of Single Variable Integration text/html 2010-06-20T10:38:38-08:00 book:math:spherecyl http://sites.science.oregonstate.edu/BridgeBook/book/math/spherecyl?rev=1277055518 Surface Elements Flux Spheres in Cylindrical Coordinates text/html 2012-09-30T20:31:12-08:00 book:math:sphereint http://sites.science.oregonstate.edu/BridgeBook/book/math/sphereint?rev=1349062272 Curvilinear Coordinates Scalar Surface Elements Simple Scalar Surface Integrals text/html 2012-09-20T10:38:06-08:00 book:math:step http://sites.science.oregonstate.edu/BridgeBook/book/math/step?rev=1348162686 None Step Functions text/html 2012-10-27T12:38:00-08:00 book:math:stokes http://sites.science.oregonstate.edu/BridgeBook/book/math/stokes?rev=1351366680 Circulation Curl Stokes' Theorem text/html 2012-10-31T17:50:00-08:00 book:math:surfaceints http://sites.science.oregonstate.edu/BridgeBook/book/math/surfaceints?rev=1351731000 Surface Elements Flux Scalar Surface Integrals text/html 2013-11-10T22:04:49-08:00 book:math:surfaces http://sites.science.oregonstate.edu/BridgeBook/book/math/surfaces?rev=1384149889 None Surfaces text/html 2011-04-23T15:52:54-08:00 book:math:thermo http://sites.science.oregonstate.edu/BridgeBook/book/math/thermo?rev=1303599174 Examples from Thermodynamics text/html 2015-08-29T12:50:00-08:00 book:math:thick http://sites.science.oregonstate.edu/BridgeBook/book/math/thick?rev=1440877800 (coming soon) Thick Derivatives text/html 2013-10-05T13:17:00-08:00 book:math:tint http://sites.science.oregonstate.edu/BridgeBook/book/math/tint?rev=1381004220 Densities Single Integrals Double Integrals Triple Integrals text/html 2010-09-05T11:05:24-08:00 book:math:toc_old http://sites.science.oregonstate.edu/BridgeBook/book/math/toc_old?rev=1283709924 Part I: Mathematics Chapter 1: Coordinates and Vectors Chapter 2: Integrals Chapter 3: Derivatives Chapter 4: Power Series Chapter 5: Delta Functions text/html 2012-09-25T11:06:00-08:00 book:math:triple http://sites.science.oregonstate.edu/BridgeBook/book/math/triple?rev=1348596360 Vectors The Dot Product The Cross Product The Triple Product text/html 2010-06-20T10:38:38-08:00 book:math:vectorint http://sites.science.oregonstate.edu/BridgeBook/book/math/vectorint?rev=1277055518 Integrating Vectors text/html 2010-07-28T16:17:59-08:00 book:math:vectorint2 http://sites.science.oregonstate.edu/BridgeBook/book/math/vectorint2?rev=1280359079 Integrating Vectors II text/html 2012-12-01T19:07:00-08:00 book:math:vectors http://sites.science.oregonstate.edu/BridgeBook/book/math/vectors?rev=1354417620 None Vectors text/html 2012-10-31T18:08:00-08:00 book:math:vfields http://sites.science.oregonstate.edu/BridgeBook/book/math/vfields?rev=1351732080 (coming soon) Vector Fields text/html 2010-07-28T20:13:00-08:00 book:math:visconserv 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