Research Interest

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My research interests include the approximation of solutions to nonlinear oscillators using the Homotopy Analysis Method (HAM) as well as the more traditional methods (multiple scales, strained coordinates, etc). I have studied epidemiological models of the disease, malaria, that are coupled systems of delay-differential equations. Delays (or time lags) in these equations are often constants but can also vary by the current state of the system (state-dependent delays).

YouTube Channel - MathDoctorMitchell

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I am active in managing a YouTube Channel that aims to supplement the mathematical material I cover in the courses I teach. Consider visiting and subscribing: YouTube.com/MathDoctorMitchell

Enjoy Some Recent Videos:

Complex Fourier Approximations	Mystery Function 1	Mystery Function 2
Vector Valued Function (3D)	Function of 2 Variables	Function of 3 Variables
Rational Slope (Square)	Irrational Slope (Square)	Rational Slope (Rectangular)

Educational Background

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• May 2010

  Ph.D. Computational and Applied Mathematics, Southern Methodist University, Dallas, TX
  Thesis: Dynamics of Plasmodium falciparum infection with delayed immune response.
  Advisor: Dr. Tom Carr

• May 2006

  M.S. Mathematics, Stephen F. Austin State University, Nacogdoches, TX
  Thesis: An Exposition of Linear Algebra in Physics.
  Advisor: Dr. Pamela Roberson

• May 2004

  B.S. Mathematics, magna cum laude, Stephen F. Austin State University, Nacogdoches, TX
  Minor: Physics.

Professional Background

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• May 2010

  Ph.D. SFASU, Southern Methodist University, Dallas, TX
  Thesis: Dynamics of Plasmodium falciparum infection with delayed immune response.
  Advisor: Dr. Tom Carr

• May 2006

  M.S. Hardin-Simmons University, Stephen F. Austin State University, Nacogdoches, TX
  Thesis: An Exposition of Linear Algebra in Physics.
  Advisor: Dr. Pamela Roberson

• May 2004

  B.S. DCCCD, Stephen F. Austin State University, Nacogdoches, TX
  Minor: Physics.