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/
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book:guide:acknowledge
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book:guide:activities
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book:guide:anecdotes
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book:guide:authors
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book:guide:beast
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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
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book:guide:bridge
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book:guide:changes
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book:guide:classroom
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book:guide:coordinates
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book:guide:cross
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book:guide:curl
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book:guide:curvilinear
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Calculating Line Elements in
Cylindrical and Spherical Coordinates
by Corinne Manogue and Katherine Meyer
(c) 1997 & 2004 Corinne A. Manogue
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book:guide:differentials
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Chapter 2: Differentials
2.1: Functions of One Variable
2.2: Functions of Several Variables
2.3: Derivatives and Integrals
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book:guide:diffint
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book:guide:diffmany
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book:guide:diffone
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book:guide:dim
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Chapter 10: Two vs. Three Dimensions
10.1: Graphs
10.2: Potential functions
10.3: Green's Theorem
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book:guide:div
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book:guide:divgradcurl
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VECTOR DERIVATIVES
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book:guide:dot
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book:guide:drvec
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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
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book:guide:elements
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book:guide:formulas
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book:guide:geom
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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
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book:guide:geometry
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book:guide:gradient
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book:guide:gram
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book:guide:graphs
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book:guide:green
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book:guide:groups
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Small Group Activities
Introduction
Student Roles
Organizing the Groups
Supervising the Groups
Open-Ended Activities
Bridge Project Activities
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book:guide:high
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book:guide:history
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History
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book:guide:identities
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book:guide:implicit
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book:guide:integrals
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book:guide:intro
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Chapter 1: Introduction
1.1: The Bridge Project
1.2: Classroom Anecdotes
1.3: Some Differences Between Physicists and Mathematicians
1.4: Geometric Reasoning
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book:guide:labs
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book:guide:line
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book:guide:low
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book:guide:master
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Chapter 4: The Master Formula
4.1: The Gradient
4.2: Other Coordinates
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book:guide:mmm
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Chapter 12: The Murder Mystery Method
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book:guide:naming
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book:guide:notation
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Chapter 7: Notation
7.1: Vectors
7.2: Spherical Coordinates
This section is adapted from~[ 10 ].
7.3: Integrals
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book:guide:organizing
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book:guide:other
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book:guide:parameter
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book:guide:parametric
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book:guide:physmath
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book:guide:polargrad
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book:guide:potential
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book:guide:preface
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Preface
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book:guide:reasoning
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book:guide:references
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Bibliography
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book:guide:roles
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book:guide:size
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book:guide:skills
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Chapter 11: Other Useful Skills
11.1: Name what you don't know
11.2: Implicit differentiation revisited
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book:guide:sphere
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book:guide:spheres
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book:guide:supervising
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book:guide:surface
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book:guide:thm
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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
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book:guide:tricks
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book:guide:units
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book:guide:use
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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
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book:guide:vecdiff
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book:guide:vecscal
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book:guide:vectors
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