Continuity

Continuity
  • Currently 5.0/5 Stars.
5132 views, 2 ratings - 00:19:52
Taught by Houston

Meets NCTM Standards:

Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Definition of continuity at a point. Continuity of polynomials, rational functions, and trigonometric functions. Left and right continuity. Continuity on an interval.
  • What is the definition of continuity?
  • When is a function continuous?
  • What is a discontinuity?
  • What is a jump discontinuity?
  • What is an infinite discontinuity?
  • What is a vertical asymptote?
  • What is a removable discontinuity?
  • When are polynomials continuous?
  • When are rational functions continuous?
  • When are sin and cos continuous?
  • What are the rules of limits of compositions?
  • What is one-sided continuity?
  • What is the Intermediate Value Theorem?
  • What is the Extreme Value Theorem?
This video does a great job of explaining clearly and plainly what it means for a function and a graph to be continuous. Again, several examples are stepped through and explained. Discontinuities are explained and defined as well. Many important theorems and corollaries are explained. A very complete lesson.
  • Currently 5.0/5 Stars.
Reviewed by MathVids Staff on December 15, 2008.
 
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