- MATH 5355 Biomathematics II: The goals of this course are to become familiar with the theory of stochastic processes and to apply this theory to study models of biological systems. Students in this course will become familiar with the theory of stochastic processes and to apply this theory to study models of biological systems. Students will review topics from probability theory and learn about mathematical properties of discrete-time Markov chains (DTMC), continuous-time Markov chains (CTMC), and stochastic differential equations (SDE). Applications to populations, epidemics, enzyme kinetics and population genetics processes will be studied.
- MATH 5354 Biomathematics I: Students in this course will become familiar with various mathematical modeling techniques important in the formulation and analysis of the dynamical behavior of biological processes: population growth, epidemics, spatial spread, biochemical kinetics, etc. that exhibit stable equilibria, cyclic behavior, bistability, hysteresis, chaos, excitability, etc. Students will learn how to model the dynamics of biological systems using difference equations and ordinary and partial differential equations. Students will review basic techniques in solving linear equations and learn new analytical techniques to study nonlinear equations, including identification of equilibrium solutions, linear stability analysis, global stability analysis, cyclic behavior and bifurcation theory.
This course is co-taught with Dr. Linda Allen.
- MATH 1452 Calculus II, Honors: Methods of integration, polar coordinates, infinite sequences and series, basic vector algebra. Applications and problem solving are strongly emphasized. Partially fulfills Core Mathematics requirement.
- MATH 1451 Calculus I, Honors: One of the main goals of this course is developing the student's geometric insight into the concepts of differentiation and integration, and applying these concepts to problem solving and real world application.