Preliminaries: Plotting in 2D and 3D with Maple
Sec. 11.2 Visualizing Tangent Planes
Sec. 11.7 Multivariable Limits
Sec. 12.1 Visualizing Vectors
Sec. 12.2 Cross and Dot Products
Sec. 13.3 Local Linearity
Sec. 13.5 Directional Derivatives and Gradients
Sec. 13. 9 Bivariate Taylor Series
Sec. 13.10 Checking Differentiability
Sec. 14.2 Lagrange Multipliers
Sec. 14.3 Gradient Search
Sec. 14.4 Rotating Axes to Eliminate the Cross Term
Sec. 15.01 Integration Checker
Sec. 15.02 Plotting in Other Coordinate Systems
Sec. 15.1 Defining Double Integrals
Sec. 15.2 Double Integrals with dxdy
Sec. 15.3 Triple Integrals with dxdydz
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Sec. 15.4 Monte Carlo Integration
Sec. 15.5 Double Integrals in Polar Coordinates
Sec. 16.1 Parametric Curves
Sec. 16.3 Parametric Surfaces
Sec. 16.5 Planetary Motion
Sec. 17.1 Vector Fields and Gradient Fields
Sec. 17.2 Plotting Flow Lines
Sec. 18.2 Line Integrals
The procedure of setting up and evaluating a line integral along a parameterized curve. It is intended as a homework checker.
Sec. 19.3 Flux Integrals
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