Associate Professor of Mathematics
Professor Hews’ teaching primarily focuses on applying mathematical techniques to biological and physical systems. This involves building an intuitive understanding of the concepts and computational tools necessary to tackle complex, real world problems. In addition, all courses emphasize communicating mathematics to a broader audience.
Hews’ research focuses on the dynamical implications and underlying assumptions of mathematical models. She models with a range of techniques including differential equations, difference equations, individual-based models, and agent-based models.
Calculus II: This course extends the concepts, techniques and applications of an introductory calculus course. We'll detect periodicity in noisy data, and study functions of several variables, integration, differential equations, and the approximation of functions by polynomials. We'll continue the analysis of dynamical systems taking models from student selected primary literature on ecology, economics, epidemiology, and physics. We will finish with an introduction to the theory and applications of Fourier series and harmonic analysis. Computers and numerical methods will be used throughout. In addition to regular substantial problem sets, each student will apply the concepts to recently published models of their choosing. Pre-requisites: Calculus in Context (NS 260) or another Calc I course
Linear Algebra: Linear Algebra: Linear algebra is valuable for explaining fundamental principles and simplifying calculations in Mathematics, Statistics, Computer Science, Engineering, Physics, Biology, and Economics. In this course, we will focus on different applications based on course design and student preferences. These will include applications to chemistry, cryptography, economics, genetics, geometry, geology, heat distributions, marketing, image compression, Markov chains and networks. They will be based on the study of linear equations, matrices, vector spaces, linear transformations, eigenvalues and eigenspaces, as well as others as time permits.