Francis Valiquette, Ph.D.
- Associate Professor
Department: Mathematics
Office: James and Marlene Howard Hall 232
Office Hours: Mondays 2:45-3:45pm
Tuesdays & Thursdays 10:00-11:00am
(via Zoom)
Phone: 732-263-5614
Email: fvalique@monmouth.edu
Montréal Canadiens fan!
Education
Ph.D., University of Minnesota-Twin Cities
Research Interests
My research interests lie at the interface of applied mathematics, differential geometry, and discrete geometry. In particular, I am interested in the theory of transformation groups and their applications to differential equations and their finite difference approximations.
Using the method of equivariant moving frames I have developed new algorithms for solving differential equations and finite difference equations that admit symmetries. I have also used moving frames to construct symmetry-preserving numerical schemes of differential equations, study integrable equations, and solve local equivalence problems.
Courses
Recently Taught Classes
2024 Spring
2023 Fall
2023 Spring
- Applied Discrete Mathematics – MA 130
- Quantitative Analysis for Business II – MA 118
- Quantitative Reasoning and Problem Solving – MA 100
2022 Fall
- Pre-Calculus Mathematics – MA 109
- Quantitative Analysis for Business II – MA 118
- Real Analysis – MA 415
2022 Spring
- Applied Discrete Mathematics – MA 130
- Pre-Calculus Mathematics – MA 109
- Quantitative Analysis for Business II – MA 118
- Theoretical Foundations of Computer Science – CS 502
2021 Fall
- Calculus With Analytic Geometry II – MA 126
- Quantitative Analysis for Business II – MA 118
- Real Analysis – MA 415