What area do you teach?

Education/Degree(s)

Ph.D. University of Wyoming (2010)
M.S. University of Wyoming (2005)
B.S. University of Wyoming (2003)

Your philosophy of teaching:

While some views on teaching and learning mathematics may be debatable, one proven method for success is the notion of "practice makes perfect." Repetition of the problems, concepts, and solutions is indispensable. As a result, my main goal for teaching mathematics is to ensure that students gain adequate knowledge that allows them to individually practice respective mathematical concepts.

Why did you decide to teach?

It is very rewarding to share the breadth of mathematical knowledge that I have compiled throughout my career. In addition, I have found that teaching a variety of mathematics courses keeps a variety of useful topics in the forefront of my mind.

Credentials/Career Path

Broadly spoken, my research focuses on numerical solutions to differential equations and statistical analysis. I completed a Ph.D. in Applied Mathematics from the University of Wyoming in 2010, and subsequently held post-doctoral positions at The University of Texas at Austin, Texas A&M University, and Colorado State University. I have compiled more than 20 peer-reviewed journal publications and a book chapter, and have presented my work at institutes such as The University of California at Berkeley, Oberwolfach (Germany), and Auburn University.

Professional Highlight

• 2013 Oberwolfach Junior Fellowship

Awards/Honors/Recognitions

• 2011 Outstanding Dissertation Award

Organizations with which you are involved

• American Mathematical Society

Most Recent/Notable Published Work

M. Presho, Inverse modeling of tracer flow via a mass conservative generalized multiscale finite volume/element method and stochastic collocation, Comput. Appl. Math., 37 (2018), pp. 6738-6759.

M. Presho, S. Mattis, C. Dawson, Uncertainty quantifcation of two-phase flow problems via measure theory and the generalized multiscale finite element method, Computat. Geosci., 21(2) (2017), pp. 187-204.

M. Presho, J. Galvis, A mass conservative generalized multiscale finite element method applied to two-phase flow in heterogeneous porous media, J. Comput. Appl. Math., 296 (2016), pp. 376-388.

M. Ghommem, M. Presho, V. Calo, Y. Efendiev, Mode decomposition methods for flows in high-contrast porous media. Global-local approach, J. Comput. Phys., 253 (2013), pp. 226-238.

Best Advice for Students

Make the best use of your time and money by attending every class session every day. Being mentally and physically present (in college and in life) strongly increases your chances of success.