Math Insight

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.

Back to: Lines (and other items in Analytic Geometry)