Kern, Daniel (PhD)
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EducationPh.D. Mathematics, University of Illinois at Chicago (1999)
M.S. Applied Mathematics, University of Massachusetts at Amherst (1991)
B.A. Mathematics, College of William and Mary (1989)
Differential Equations, Biomathematics, Mathematical Modeling
Research and Teaching InterestsMy main research interests are in the area of differential equations, primarily related to models in mathematical biology. Most models that I have developed and/or studied are nonlinear, both for ordinary and (parabolic) partial differential equations. Current applications of interest include population dynamics and invasive species, with a side interest in epidemiology. Earlier work looked at optimal control, with projects involving porous media flow, and cancer treatment.
I am also interested in research associated with teaching and learning calculus, as well as applied math topics. Current projects involve examining data for differences in educational gain among groups of students in calculus, and improving student success in integral calculus.
I have mentored eight graduate students (seven at FGCU), and nine undergraduate research projects (14 students total). Topics have included modeling the spread of the Zika virus, oyster-mussel competition dynamics, zombies, musical instruments and Fourier analysis, and an age-based compartmental model of star populations. Additionally, I have been on three master's thesis committees (including two in biology).
I have taught 14 different courses at FGCU so far.
- Graduate: Differential Equations I, Topics in Applied Mathematics, Research Seminar, Special Topics: Mathematical Biology
- Undergraduate: Calculus !, Calculus II, Calculus III, Differential Equations, Linear Algebra, Math for Science and Engineering, Senior Seminar, Social Science Statistics, Precalculus, Statistical Methods