The Supplemental Materials were a separate online book. Only the sections shown as links below were preserved by the Internet Archive and have been restored; the other titles are listed so the structure of the book is complete.
Contents
- Acknowledgements
- Calculus in Virtual Reality
- 1 Two Dimensional Preliminaries
- 1.1 Parametric Equations
- 1.2 Derivatives of Parametric Equations
- 1.3 Parametric Equations of Ellipses
- 1.4 Rectangular Regions and Inequalities
- 1.5 Polar Points and Regions
- 2 Three Dimensional Coordinates
- 2.1 Rectangular 3D Coordinates
- 2.2 Cylindrical 3D Coordinates
- 2.3 Spherical Coordinates
- 2.4 Quiz on Vectors in 3D
- 2.5 3D Coordinate Playground
- 3 Basic Graphs in 3D
- 3.1 Coordinates and Graphs in 3D
- 3.2 Graphs in 3D
- 3.3 Lines in Space
- 3.4 Planes in Space
- 3.5 Cylinder Surfaces
- 3.6 Quadric Surfaces Demo
- 3.7 Quadric Surface Explorations
- 4 Parameterizations of Curves and Surfaces
- 4.1 Parameterizations of Curves in Space
- 4.2 Parameterizations of Surfaces in Space
- 4.3 Graph Transformations and Parameterizations
- 4.4 Surface Graphing Playground
- 5 Vector Valued Functions of One Variable
- 5.1 Plotting Vector Valued Functions of One Variable
- 5.2 The Velocity Vector
- 5.3 Speed
- 5.4 Arc Length
- 5.5 Acceleration
- 5.6 The Unit Tangent Vector
- 5.7 The Unit Normal Vector
- 5.8 Splitting the Acceleration Vector
- 5.9 Curvature
- 5.10 Binormal Vector
- 5.11 Vector Valued Function Quiz
- 5.12 Vector Valued Function Playground
- 6 Multivariable Functions
- 6.1 Graphs and Properties of Multivariable Functions
- 6.2 Change and Slopes on Non-vertical Planes
- 6.3 Sections on MVF and Contour Plots
- 6.4 Limits and Continuity of Multivariable Functions
- 6.5 Partial Derivatives
- 6.6 Local Linearity and Tangent Planes
- 6.7 Directional Derivatives
- 6.8 Gradients
- 6.9 Second Partial Derivatives
- 6.10 Extrema of Multivariable Functions
- 6.11 Extrema on Compact Regions
- 6.12 Multivariable Function and Contour Playground
- 7 Multiple Integration
- 7.1 A Chapter on Multiple Integration
- 8 Vector Fields
- 8.1 Plotting Vector Fields
- 8.2 The Curl of Vector Fields
- 8.3 The Divergence of a Vector Field
- 8.4 Interactive Playground for Visualizing Vector Fields
- 9 Vector Calculus
- 9.1 Line Integrals of Scalar Functions
- 9.2 Line Integrals of Vector Fields
- 9.3 Surface Integrals of Scalar Functions
- Back Matter
- A Common Elements in CalcVR
- A.1 CalcVR Menu
- A.2 Tutorial
- A.3 Graphics Control Panel
- A.4 Lesson Control Panel
- A.5 Bottom Menu
- A.6 Keyboard
- A.7 Sliders