Jessica Stewart Kelly
Department of Mathematics - Center for Effective Teaching
Associate Professor
Assistant Director, Center for Effective Teaching
Luter Hall 371
(757) 594-7261
jessica.kelly@cnu.edu
Education
- Ph D in Mathematics, Baylor University
- BS in Mathematics, Elon University
Teaching
My teaching interests range from introductory level mathematics courses such at Precalculus, Business Calculus, and Calculus up through many 300 and 400 level courses for majors. I particularly enjoy teaching courses in the Calculus sequence, differential equations and real analysis.
Research
Exceptional orthogonal polynomial systems, special functions, functional analysis, spectral theory, differential equations, Lyapunov inequalities
Selected Accomplishments
-
Journal Article, Academic Journal
(2023). The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions. Journal of Spectral Theory. -
Journal Article, Academic Journal
(2023). Lower bounds for eigenvalues of even ordered quasilinear differential equations. Proceedings of the American Mathematical Society. Volume, 151. Pages, 647-661. -
Journal Article, Academic Journal
(2021). Lyapunov-type Inequalities for Third Order Linear and Half-Linear Difference Equations. Journal of Difference Equations and Applications. -
Journal Article, Academic Journal
(2020). Mastering Your Sales Pitch: Selling Mastery Based Testing to Your Students and Yourself. Problems, Resources, and Issues in Mathematics Undergraduate Studies. -
Journal Article, Academic Journal
(2019). A Non Green's Function Approach to Fractional Lyapunov-Type Inequalities with Applications to Multivariate Domains. Differential Equations and Applications. Volume, 11. Issue, 3. Pages, 409-425. -
Journal Article, Academic Journal
(2018). Mastery-based Testing in Undergraduate Mathematics Courses. PRIMUS. -
Journal Article, Academic Journal
(2017). Moment representations of exceptional X_1 orthogonal polynomials. Journal of Mathematical Analysis and Applications. Volume, 455. Issue, 2. Pages, 1848-1869. -
Journal Article, Academic Journal
(2016). The spectral analysis of three families of exceptional Laguerre polynomials. Journal of Approximation Theory. Volume, 202. Pages, 36. -
Journal Article, Academic Journal
(2015). Spectral analysis for the exceptional X_m-Jacobi equation. Electronic Journal of Differential Equations. Volume, 2015. Issue, 194. Pages, 10.