Pages similar to: Lines (and other items in Analytic Geometry)
- Parametrization of a line
Introduction to how one can parametrize a line. Interactive graphics illustrate basic concepts. - Parametrization of a line examples
Examples demonstrating how to calculate parametrizations of a line. - Cartesian coordinates
Illustration of Cartesian coordinates in two and three dimensions. - A line or a plane or a point?
Examples showing how the graph of an equation depends on the underlying dimension, becoming a line or a point or a plane. - Intersecting planes example
Example showing how to find the solution of two intersecting planes and write the result as a parametrization of the line. - Spherical coordinates
Illustration of spherical coordinates with interactive graphics. - Vectors in two- and three-dimensional Cartesian coordinates
A introduction to representing vectors using the standard Cartesian coordinate systems in the plane and in three-dimensional space. - Polynomial inequalities
How to determine the intervals where a polynomial is positive or negative. - Domain of functions
How to determine the domain of a function. - Limits with cancellation
Calculating limits of a fraction my canceling factors from the numerator and denominator. - Limits at infinity
Calculating limits as a variable goes to infinity. - Limits of exponential functions at infinity
Calculating limits of exponential functions as a variable goes to infinity. - The idea of the derivative of a function
The derivative of a function as the slope of the tangent line. - Polar coordinates
Illustration of polar coordinates with interactive graphics. - Cylindrical coordinates
Illustration of cylindrical coordinates with interactive graphics. - Polar coordinates mapping
How polar coordinates can be viewed as mapping from the polar plane onto the Cartesian plane. - The elliptic paraboloid
Description of the elliptic paraboloid with interactive graphics that illustrate cross sections and the effect of changing parameters. - The hyperbolic paraboloid
Description of the hyperbolic paraboloid with interactive graphics that illustrate cross sections and the effect of changing parameters. - The ellipsoid
Description of the ellipsoid with interactive graphics that illustrate cross sections and the effect of changing parameters. - The double cone
Description of the double cone with interactive graphics that illustrate cross sections and the effect of changing parameters.