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Alumni entry way Department of Mathematics
Lock Haven University of Pennsylvania

 
Research and Professional Activities
 
 
Charles Morgan
 
Talks
  • "Decay of correlations for dynamical systems with unbounded distortion,"  University of Louisville, May 2005
  • "How bad can a homomorphism be?"  Bucknell University, October 2005
  • "Approximate homomorphisms," University of Colombo (Sri Lanka), March 2006
Publications
  • Stability of the Cauchy Equation in Banach Spaces, Bachelor's Thesis, University of Louisville, 1994.
  • Decay of Correlations for Dynamical Systems with Unbounded Distortion, Ph.D. Thesis, Michigan State University, 2003.
  • Topology:  An Introduction (working title), in use in my current topology class.  We begin with the epsilon-delta definition of continuity from Calculus I and develop topology as a collection of sufficient abstractions which allow us to understand continuity, compactness, connectedness, etc. in more abstract settings.  The text is appropriate for students who have had one semester of calculus and an introduction to proofs.
  • Basic Statistics with Calculus Enhancement, in preparation.  Initial chapters in use in my current basic statistics class.  We present measures of center, variation, random variables, normal distributions, binomial distributions, and ANOVA.  The first part of each chapter is ideal for students with only a college algebra background;  the latter part of each chapter discusses and derives the results rigorously and is ideal for students who have had the usual three-semester calculus sequence.
Other Activities
Miscellaneous
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