Dr. Nick Wintz

Associate Professor, Mathematics

Young Hall 317
(636) 627-2505
NWintz@lindenwood.edu

Biographical Information

Dr. Nick Wintz is a control theorist whose publications examine processes with continuous, discrete and hybrid measurements. He received his BS and MA in mathematics from Marshall University in Huntington, WV. His master’s thesis was "Eigenvalue comparisons for an impulsive boundary value problem with Sturm-Liouville boundary conditions," written under the direction of Dr. Bonita A. Lawrence. While at Marshall, he served as a Graduate Teaching and Research Assistant. He continued his doctoral work at Missouri University of Science and Technology (formally University of Missouri-Rolla) in Rolla, MO.  His dissertation was "The Kalman filter on time scales" under the direction of Dr. Martin Bohner.  While at Rolla, he also earned a Graduate Certificate in Financial Mathematics.

After a stint as a Lecturer at Missouri S&T, Dr. Nick Wintz came to Lindenwood University as an Assistant Professor in 2011. In 2015, he was promoted to Associate Professor.

He currently lives in Saint Charles, Mo. with his wife, Amy and son, Ben.

Research Interests

Dr. Wintz's academic interests include:

• Ordinary Differential Equations
• Difference Equations
• Dynamics Equations on Time Scales
• Optimal Control and Estimation
• Mathematical Biology
• Pursuit-Evasion Games
• Special Functions

Publications

• B.A. Lawrence and N. Wintz. Eigenvalue comparisons for an impulsive boundary value problem with Sturm-Liouville boundary conditions. Comm. Appl. Nonlinear Anal. 12, 4 (2005), 37-45.
• M. Bohner and N. Wintz. The linear quadratic regulator on time scales. Int. J. Difference Equ.,5(2):149-174, 2010.
• M. Bohner and N. Wintz. The linear quadratic tracker on time scales. Int. J. Dyn. Syst. Differ. Equ., 3(4):423-447, 2011.
• M. Bohner and N. Wintz. Controllability and observability of time-invariant linear dynamic systems. Math. Bohem., 137(2):149-163, 2012.
• M. Bohner and N. Wintz. The Kalman filter for linear systems on time scales. J. Math. Anal. Appl., 406(2):419-436, 2013.
• D. Grow and N. Wintz. Bilinear systems on time scales. In progress.

Undergraduate Research

• Spring 2010: Abigail Asher, “Using Runge-Kutta methods to solve 1st order chemical engineering models," (Missouri S&T).
• Spring 2013: Aaron Wood, “The Discrete-Time Kalman Filter." First Place (College of Science, Technology, and Health) in the 2013 Lindenwood Student Research Symposium and Exposition (SRSE).
• Spring 2014: Mark Schroeder, “Evaluating Enzyme Kinetics Using Numerical Methods."
• Spring 2014: Zach Stuart, “An Application of the Linear Quadratic Tracking Problem to Economic Stabilization Policy Updated.”
• Spring 2015: Micah Losee, “A Predator-Prey Model for the Moose and Wolf Populations of Isle Royale."
• Spring 2015: Sina Schack, “The PID controlled Artificial Pancreas: Modeling and Simulation of the Glucose-Insulin Metabolism."
• Spring 2016: Victoria Francis, “Estimating Wrestling Motion Estimation Using the Extended Kalman Filter.” First Place (College of Science, Technology, and Health) in the 2016 Lindenwood Student Research Symposium and Exposition (SRSE) and the Alpha Chi “People’s Choice” Award. 

Courses Taught

Dr. Wintz has taught the following courses:

• Advanced Calculus
• Basic Statistics
• Business Calculus and Applications
• Calculus I, II, and III
• College Algebra
• Complex Variables
• Difference Equations
• Differential Equations
• Introduction to Contemporary Mathematics
• Precalculus: Elementary Functions
• Quantitative Methods for Business
• Undergraduate Research