The Geometry of Vector Calculus book:guide http://sites.science.oregonstate.edu/BridgeBook/ 2020-01-26T14:57:24-08:00 The Geometry of Vector Calculus http://sites.science.oregonstate.edu/BridgeBook/ http://sites.science.oregonstate.edu/BridgeBook/lib/images/favicon.ico text/html 2011-07-29T08:54:00-08:00 book:guide:acknowledge http://sites.science.oregonstate.edu/BridgeBook/book/guide/acknowledge?rev=1311954840 text/html 2011-07-29T17:27:00-08:00 book:guide:activities http://sites.science.oregonstate.edu/BridgeBook/book/guide/activities?rev=1311985620 text/html 2011-07-29T12:06:55-08:00 book:guide:anecdotes http://sites.science.oregonstate.edu/BridgeBook/book/guide/anecdotes?rev=1311966415 text/html 2011-07-29T08:54:00-08:00 book:guide:authors http://sites.science.oregonstate.edu/BridgeBook/book/guide/authors?rev=1311954840 text/html 2011-07-29T09:46:00-08:00 book:guide:beast http://sites.science.oregonstate.edu/BridgeBook/book/guide/beast?rev=1311957960 Chapter 8: What Sort of a Beast is it? 8.1: Vectors and Scalars 8.2: Small and Large 8.3: Dimensions and Units 8.4: In the Classroom text/html 2011-07-29T12:07:02-08:00 book:guide:bridge http://sites.science.oregonstate.edu/BridgeBook/book/guide/bridge?rev=1311966422 text/html 2011-07-31T08:44:12-08:00 book:guide:changes http://sites.science.oregonstate.edu/BridgeBook/book/guide/changes?rev=1312127052 text/html 2011-07-30T13:09:32-08:00 book:guide:classroom http://sites.science.oregonstate.edu/BridgeBook/book/guide/classroom?rev=1312056572 text/html 2012-09-23T20:45:00-08:00 book:guide:coordinates http://sites.science.oregonstate.edu/BridgeBook/book/guide/coordinates?rev=1348458300 text/html 2011-07-31T10:07:52-08:00 book:guide:cross http://sites.science.oregonstate.edu/BridgeBook/book/guide/cross?rev=1312132072 text/html 2011-07-30T21:12:52-08:00 book:guide:curl http://sites.science.oregonstate.edu/BridgeBook/book/guide/curl?rev=1312085572 text/html 2013-01-26T14:30:00-08:00 book:guide:curvilinear http://sites.science.oregonstate.edu/BridgeBook/book/guide/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 2011-07-29T19:49:41-08:00 book:guide:differentials http://sites.science.oregonstate.edu/BridgeBook/book/guide/differentials?rev=1311994181 Chapter 2: Differentials 2.1: Functions of One Variable 2.2: Functions of Several Variables 2.3: Derivatives and Integrals text/html 2011-07-29T17:55:27-08:00 book:guide:diffint http://sites.science.oregonstate.edu/BridgeBook/book/guide/diffint?rev=1311987327 text/html 2011-07-29T17:51:52-08:00 book:guide:diffmany http://sites.science.oregonstate.edu/BridgeBook/book/guide/diffmany?rev=1311987112 text/html 2011-07-29T17:51:15-08:00 book:guide:diffone http://sites.science.oregonstate.edu/BridgeBook/book/guide/diffone?rev=1311987075 text/html 2011-07-30T12:36:59-08:00 book:guide:dim http://sites.science.oregonstate.edu/BridgeBook/book/guide/dim?rev=1312054619 Chapter 10: Two vs. Three Dimensions 10.1: Graphs 10.2: Potential functions 10.3: Green's Theorem text/html 2011-07-30T20:24:38-08:00 book:guide:div http://sites.science.oregonstate.edu/BridgeBook/book/guide/div?rev=1312082678 text/html 2011-07-30T12:08:42-08:00 book:guide:divgradcurl http://sites.science.oregonstate.edu/BridgeBook/book/guide/divgradcurl?rev=1312052922 VECTOR DERIVATIVES text/html 2011-07-31T09:59:19-08:00 book:guide:dot http://sites.science.oregonstate.edu/BridgeBook/book/guide/dot?rev=1312131559 text/html 2011-07-29T19:50:02-08:00 book:guide:drvec http://sites.science.oregonstate.edu/BridgeBook/book/guide/drvec?rev=1311994202 Chapter 3: The Vector Differential 3.1: Small Changes in Position 3.2: Other Coordinate Systems 3.3: Vector Differentials 3.4: Calculating Line Elements text/html 2011-07-29T19:38:20-08:00 book:guide:elements http://sites.science.oregonstate.edu/BridgeBook/book/guide/elements?rev=1311993500 text/html 2011-07-30T11:53:16-08:00 book:guide:formulas http://sites.science.oregonstate.edu/BridgeBook/book/guide/formulas?rev=1312051996 text/html 2011-07-30T17:07:00-08:00 book:guide:geom http://sites.science.oregonstate.edu/BridgeBook/book/guide/geom?rev=1312070820 Chapter 9: The Geometry of the Dot and Cross Products A slightly expanded version of this chapter appears in~[ 7 ]. 9.1: Dot Product 9.2: Gram-Schmidt orthogonalization 9.3: Cross Product text/html 2011-07-31T09:55:29-08:00 book:guide:geometry http://sites.science.oregonstate.edu/BridgeBook/book/guide/geometry?rev=1312131329 text/html 2011-07-30T17:47:28-08:00 book:guide:gradient http://sites.science.oregonstate.edu/BridgeBook/book/guide/gradient?rev=1312073248 text/html 2011-07-30T21:05:30-08:00 book:guide:gram http://sites.science.oregonstate.edu/BridgeBook/book/guide/gram?rev=1312085130 text/html 2011-07-30T12:36:02-08:00 book:guide:graphs http://sites.science.oregonstate.edu/BridgeBook/book/guide/graphs?rev=1312054562 text/html 2011-07-29T09:52:00-08:00 book:guide:green http://sites.science.oregonstate.edu/BridgeBook/book/guide/green?rev=1311958320 text/html 2011-07-29T16:41:10-08:00 book:guide:groups http://sites.science.oregonstate.edu/BridgeBook/book/guide/groups?rev=1311982870 Small Group Activities Introduction Student Roles Organizing the Groups Supervising the Groups Open-Ended Activities Bridge Project Activities text/html 2011-07-30T20:30:06-08:00 book:guide:high http://sites.science.oregonstate.edu/BridgeBook/book/guide/high?rev=1312083006 text/html 2011-07-30T14:41:57-08:00 book:guide:history http://sites.science.oregonstate.edu/BridgeBook/book/guide/history?rev=1312062117 History text/html 2011-07-28T17:39:00-08:00 book:guide:identities http://sites.science.oregonstate.edu/BridgeBook/book/guide/identities?rev=1311899940 text/html 2011-07-30T12:32:05-08:00 book:guide:implicit http://sites.science.oregonstate.edu/BridgeBook/book/guide/implicit?rev=1312054325 text/html 2011-07-29T23:29:31-08:00 book:guide:integrals http://sites.science.oregonstate.edu/BridgeBook/book/guide/integrals?rev=1312007371 text/html 2011-07-29T12:26:56-08:00 book:guide:intro http://sites.science.oregonstate.edu/BridgeBook/book/guide/intro?rev=1311967616 Chapter 1: Introduction 1.1: The Bridge Project 1.2: Classroom Anecdotes 1.3: Some Differences Between Physicists and Mathematicians 1.4: Geometric Reasoning text/html 2011-07-29T16:59:18-08:00 book:guide:labs http://sites.science.oregonstate.edu/BridgeBook/book/guide/labs?rev=1311983958 text/html 2011-07-30T20:29:55-08:00 book:guide:line http://sites.science.oregonstate.edu/BridgeBook/book/guide/line?rev=1312082995 text/html 2011-07-30T20:45:37-08:00 book:guide:low http://sites.science.oregonstate.edu/BridgeBook/book/guide/low?rev=1312083937 text/html 2011-07-29T19:52:10-08:00 book:guide:master http://sites.science.oregonstate.edu/BridgeBook/book/guide/master?rev=1311994330 Chapter 4: The Master Formula 4.1: The Gradient 4.2: Other Coordinates text/html 2011-07-31T09:06:26-08:00 book:guide:mmm http://sites.science.oregonstate.edu/BridgeBook/book/guide/mmm?rev=1312128386 Chapter 12: The Murder Mystery Method text/html 2011-07-30T12:34:24-08:00 book:guide:naming http://sites.science.oregonstate.edu/BridgeBook/book/guide/naming?rev=1312054464 text/html 2011-07-29T20:37:40-08:00 book:guide:notation http://sites.science.oregonstate.edu/BridgeBook/book/guide/notation?rev=1311997060 Chapter 7: Notation 7.1: Vectors 7.2: Spherical Coordinates This section is adapted from~[ 10 ]. 7.3: Integrals text/html 2011-07-29T16:32:24-08:00 book:guide:organizing http://sites.science.oregonstate.edu/BridgeBook/book/guide/organizing?rev=1311982344 text/html 2011-07-30T20:49:16-08:00 book:guide:other http://sites.science.oregonstate.edu/BridgeBook/book/guide/other?rev=1312084156 text/html 2011-07-29T09:30:00-08:00 book:guide:parameter http://sites.science.oregonstate.edu/BridgeBook/book/guide/parameter?rev=1311957000 text/html 2011-07-30T20:28:38-08:00 book:guide:parametric http://sites.science.oregonstate.edu/BridgeBook/book/guide/parametric?rev=1312082918 text/html 2011-07-30T17:09:03-08:00 book:guide:physmath http://sites.science.oregonstate.edu/BridgeBook/book/guide/physmath?rev=1312070943 text/html 2011-07-30T20:55:12-08:00 book:guide:polargrad http://sites.science.oregonstate.edu/BridgeBook/book/guide/polargrad?rev=1312084512 text/html 2011-07-30T16:51:13-08:00 book:guide:potential http://sites.science.oregonstate.edu/BridgeBook/book/guide/potential?rev=1312069873 text/html 2011-07-29T08:54:00-08:00 book:guide:preface http://sites.science.oregonstate.edu/BridgeBook/book/guide/preface?rev=1311954840 Preface text/html 2011-07-29T09:01:00-08:00 book:guide:reasoning http://sites.science.oregonstate.edu/BridgeBook/book/guide/reasoning?rev=1311955260 text/html 2011-07-29T16:15:18-08:00 book:guide:references http://sites.science.oregonstate.edu/BridgeBook/book/guide/references?rev=1311981318 Bibliography text/html 2011-07-29T17:32:09-08:00 book:guide:roles http://sites.science.oregonstate.edu/BridgeBook/book/guide/roles?rev=1311985929 text/html 2011-07-29T09:45:00-08:00 book:guide:size http://sites.science.oregonstate.edu/BridgeBook/book/guide/size?rev=1311957900 text/html 2011-07-29T20:35:01-08:00 book:guide:skills http://sites.science.oregonstate.edu/BridgeBook/book/guide/skills?rev=1311996901 Chapter 11: Other Useful Skills 11.1: Name what you don't know 11.2: Implicit differentiation revisited text/html 2011-07-31T08:52:29-08:00 book:guide:sphere http://sites.science.oregonstate.edu/BridgeBook/book/guide/sphere?rev=1312127549 text/html 2011-07-30T11:06:20-08:00 book:guide:spheres http://sites.science.oregonstate.edu/BridgeBook/book/guide/spheres?rev=1312049180 text/html 2011-07-29T17:41:00-08:00 book:guide:supervising http://sites.science.oregonstate.edu/BridgeBook/book/guide/supervising?rev=1311986460 text/html 2011-07-30T10:57:09-08:00 book:guide:surface http://sites.science.oregonstate.edu/BridgeBook/book/guide/surface?rev=1312048629 text/html 2011-07-30T11:11:00-08:00 book:guide:thm http://sites.science.oregonstate.edu/BridgeBook/book/guide/thm?rev=1312049460 Chapter 6: The Geometry of Divergence and Curl 6.1: Divergence 6.2: Curl 6.3: Other Coordinates 6.4: Emphasizing the Geometry 6.5: Vector Derivative Formulas text/html 2011-07-29T17:41:57-08:00 book:guide:tricks http://sites.science.oregonstate.edu/BridgeBook/book/guide/tricks?rev=1311986517 text/html 2011-07-29T09:45:00-08:00 book:guide:units http://sites.science.oregonstate.edu/BridgeBook/book/guide/units?rev=1311957900 text/html 2011-07-30T20:28:25-08:00 book:guide:use http://sites.science.oregonstate.edu/BridgeBook/book/guide/use?rev=1312082905 Chapter 5: Use What You Know! 5.1: Parameterization 5.2: Use what you know 5.3: Line integrals 5.4: Surface integrals 5.5: Highly symmetric surfaces 5.6: less symmetric surfaces 5.7: Spheres in Cylindrical Coordinates 5.8: Parametric surfaces text/html 2011-07-31T08:31:06-08:00 book:guide:vecdiff http://sites.science.oregonstate.edu/BridgeBook/book/guide/vecdiff?rev=1312126266 text/html 2011-07-30T13:03:47-08:00 book:guide:vecscal http://sites.science.oregonstate.edu/BridgeBook/book/guide/vecscal?rev=1312056227 text/html 2011-07-29T23:24:24-08:00 book:guide:vectors http://sites.science.oregonstate.edu/BridgeBook/book/guide/vectors?rev=1312007064