1 video in "Continuity"
Continuity
Continuity
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Meets these 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.
- Continuity at a point - Practice finding continuity at a point.
- Continuity on an Interval - Practice finding continuity on an interval.
- One-Sided Continuity - Practice finding one-sided continuity.
- The intermediate value theorem - Practice with the Intermediate Value Theorem.
- Boundedness; The Extreme Value Theorem - Practice with boundedness and the Extreme Value Theorem.
- 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.
