Dr. Sullivan is an Assistant Professor of Mathematics. He received his B.S. in Mathematics from Iowa State Univeristy (1998), M.S. in Applied Mathematics from the University of Colorado at Colorado Springs (2007), and his Ph.D. in Applied Mathematics from the University of Colorado Denver (2013).
Dr. Sullivan's mathematical interests focus mainly on mathematical modeling with oridinary and partial differential equations. His Ph.D. research involved the modeling of fluids in porous media using hybrid mixture theory, continuum mechanics, and numerical methods for nonlinear partial differential equations. He is also interested in innovative mathematical pedagogy and practices. In his free time, he enjoys hiking, backpacking, biking, rock and ice climbing, kayaking, fishing, and generally being outdoors.
email: esullivan (at) carroll (dot) edu
At Carroll we require each senior math major to complete a project or thesis. The following are current and past projects and theses directed by Dr. Sullivan.
Mathematics belongs to human kind. The development of Calculus, in particular, is one of the crowning achievements of science and has been studied since the 1600s. Since Calculus is so well studied and is so incredibly fundamental to the mathematical sciences it makes little sense to charge students hundreds of dollars for a textbook. In an effort to make Calculus textbooks more accessible to our students we are using a free open source Calculus textbook. The text began as an open source project by Professor Matt Boelkins out of Grand Valley State University (here). Since fall of 2014, the Carroll math department has began supplementing Dr. Boelkins' text for their purposes. The goals of Carroll's Active Calculus text are to
We couldn't be more pleased to use this text for MA121 (differential calculus), MA122 (integral calculus), MA131 (single variable calculus), MA233 (multi-variable calculus (beta testing fall 2015 and fall 2016)), and MA141 (introduction to mathematical modeling). To view the book and other associated resources, go here.
The following pdf documents are labs associated with our multivariable calculus course. Anyone is welcome to use, modify, and build upon these lab activities. If you are interested in obtaining the LaTeX source files please contact Dr. Sullivan: esullivan(at)carroll(dot)edu
Fall 2015: MA121, MA141, MA250, MA401, and ED418
Spring 2014: MA122, MA406, ED212
Fall 2013: MA121, MA233