Tome Scientific Building
717-245-1334
Her scholarship concentrates on ergodic theory and complex dynamical systems. Her current research focuses on the parametrized dynamics of meromorphic functions.
MATH 171 Multivariable Calculus
Multivariable calculus including parametric and polar equations, vectors, three-dimensional analytic geometry, vector-valued functions, functions of several variables, partial derivatives, and multiple integrals. Additional topics if time permits.Three hours of classroom and one and a half hour of lab per week. Prerequisite: 170 or departmental placement. Offered every semester.
MATH 361 Real Analysis
A theoretical development of the basic ideas and concepts of real analysis. Topics include a study of real numbers, sequences, limits and continuity, differentiation and integration. Optional topics include infinite series, sequences and series of functions, and an introduction to point-set topology.Prerequisite: 171, 262 and 270. Offered every fall.
MATH 301 Fractals Chaos & Cellular Auto
This course explores how simple mathematical rules can generate unexpectedly complex behavior. Through the study of dynamical systems-models that describe how states evolve through repeated iteration-students will investigate phenomena including stability, chaos, fractals, and pattern formation. Topics include one-dimensional maps, bifurcation diagrams, sensitivity to initial conditions, and cellular automata. Students will discover how iterating basic rules can produce everything from the Sierpiński triangle to chaotic unpredictability, revealing deep connections between mathematics and natural patterns. The course emphasizes visual and conceptual understanding over computation. Students will investigate qualitative behavior through graphical analysis, carefully chosen examples, and exploration of systems where long-term dynamics defy simple prediction. While computational tools will be used to illustrate key ideas, the focus is on mathematical reasoning and insight. One credit. Math 262 Pre-req.
MATH 472 Complex Analysis
An introductory study of functions in the complex plane. Topics include: complex numbers and functions, the theory of differentiation and integration of complex functions; Cauchy's integral theorem; the Residue theorem. Prerequisite: 361 and completion of, or concurrent registration in 351. Offered in odd numbered spring semesters.