12.1 - 3D Coordinates
Example 3 - Distance between two coordinates
Example 4 - Parabola with z=3
Example 7 - 3D inequalities and systems
Example 8 - Volume inside cube but outside sphere
Example 1 - Equal vectors from separate starting points
Example 3 - Angle between two vectors
Example 5 - Direction cosines and direction angles
Example 5 - Scalar triple product and the volume of a parallelepiped
12.5 - Equations of 3D Lines and Planes
Example 1 - 3D line based on direction vector and starting point
Example 7 - Line of intersection between planes and the angle between planes
Example Overload! All quadric surface examples from lecture in one.
13.1 - Vector Functions and Space Curves
Example 4 - Space curve of intersection between surfaces
Example 6 - Motion of Charged Particle in Electric/Magnetic Field
13.2 - Calculus of Space Curves
Example 2 - Tangent line to a space curve
13.3 - Arc Length and Curvature
Example 1,2,4,6,7 - Helix space curve, TNB frame, Osculating Plane, etc.
13.4 - Motion in Space - Velocity and Acceleration
Just For Fun - Home Run or Not? Adjust Initial Velocity and Elevation Angle
14.1 - Functions in Several Variables
Example 5 - Comparing Graph in R^3 to Contour Map on R^2
14.3 - Partial Derivatives
Example 8/9 - Solutions to Laplace's equation and the Wave equation.
14.4 - Tangent Planes and Linear Approximations
Example 2 - Tangent plane to the elliptic paraboloid
14.6 - Directional Derivatives
Example 2 - Graph of the tangent plane and tangent lines given by the partial derivatives and directional derivatives.
14.7 - Minimum and Maximum Values
Examples 1-4: Second Derivative Test
15.1 - Double Integrals over Rectangles
Example 2 - Using Iterated Integrals to calculate volume
Example 4 - Using Triple Integral to calculate volume
15.7 - Triple Integrals in Cylindrical Coordinates
Example 2 - Using triple integral to calculate volume
Example 1 - Gravitational Field, A Conservative Vector Field
16.2 - Line Integrals
Example 1 - Evaluating a Line Integral
16.6 - Parametric Surfaces and Their Areas
Example 2 - Graph Parametric Surfaces in GeoGebra
16.6 - Parametric Surfaces and Their Areas
Example 6 - Tangent Plane to Paraboloid
Example 1 - Evaluating a line integral using a surface integral
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