## Courses #### Fall 2024 - MAT 162 - Calculus with Analytic Geometry II - MAT 395 - Problem Solving in Mathematics --- ## Interests - Number Theory - Combinatorics - Mathematical Biology - Non-Unique Factorization Theory --- ## Selected Papers - Chang, Y., Feng, W., Freeze, M., Lu, X., Smith, C. [Elimination, permanence, and exclusion in a competition model under Allee effects](http://dx.doi.org/10.3934/math.2023391). **AIMS Mathematics**, 8(4), 7787-7805. - Feng, W., Freeze, M., Lu, X. [On Competition Models under Allee Effect: Asymptotic Behavior and Traveling Waves](http://dx.doi.org/10.3934/cpaa.2020256). **Communications on Pure and Applied Analysis**, 19(12), 5609-5626. - Chang, Y., Feng, W., Freeze, M., Lu, X. [Permanence and Coexistence in a Diffusive Complex Ratio-Dependent Food Chain](http://dx.doi.org/10.1007/s40435-014-0131-4). **International Journal of Dynamics and Control**, 3(3), 262-274. - Feng, W., Rocco, N., Freeze, M., Lu, X. [Mathematical Analysis on an Extended Rosenzweig-MacArthur Model of Tri-Trophic Food Chain](http://dx.doi.org/10.3934/dcdss.2014.7.1215). **Discrete and Continuous Dynamical Systems Series S**, 7(6), 1215-1230. - Borrett, S., Freeze, M., Salas, A. [Equivalence of the Realized Input and Output Oriented Indirect Effects Metrics in Ecological Network Analysis](http://dx.doi.org/10.1016/j.ecolmodel.2011.04.003). **Ecological Modelling**, 222(13), 2142-2148. - Borrett, S. R., Freeze, M. [Reconnecting Environs to their Environments](http://dx.doi.org/10.1016/j.ecolmodel.2010.10.015). **Ecological Modelling**, 222(14), 2393-2403. - Freeze, M., Schmid, W. [Remarks on a Generalization of the Davenport Constant](http://dx.doi.org/10.1016/j.disc.2010.07.028). **Discrete Mathematics**, 310(23), 3373-3389. - Freeze, M., Gao, W., Geroldinger, A. [The Critical Number of Finite Abelian Groups](http://dx.doi.org/10.1016/j.jnt.2009.05.016). **Journal of Number Theory**, 129(11), 2766-2777. - Freeze, M., Geroldinger, A. [Unions of Sets of Lengths](http://dx.doi.org/10.7169/facm/1229696561). **Functiones et Approximatio**, 39(1), 149-162. - Chapman, S., Freeze, M., Smith, W.W. [Minimal Zero-Sequences and the Strong Davenport Constant](https://doi.org/10.1016/S0012-365X(99)00027-8). **Discrete Mathematics**, 203(3), 271-277. --- ## Resources #### Scholarly [Randall Library](http://library.uncw.edu/), [JSTOR](http://www.jstor.org.liblink.uncw.edu/), [arXiv](http://arxiv.org/), [MathSciNet](http://www.ams.org/mathscinet/search.html/), [AMS](http://www.ams.org/), [MAA](http://www.maa.org/) #### Computational [SAGE](./tools/sage/sagecell-essentials.html), [Desmos](https://www.desmos.com/calculator), [GeoGebra](https://app.geogebra.org/), [WolframAlpha](http://www.wolframalpha.com), [MathStudio](http://mathstud.io), [webxcas](https://www-fourier.ujf-grenoble.fr/~parisse/xcasen.html), [numworks](http://people.uncw.edu/freezem/tools/numworks/simulator.html), [js](./tools/javascript-interpreter/javascript-interpreter-bigint.html), [textutil](./tools/textutil/index.html) #### Miscellaneous [Weather (NWS)](http://www.weather.gov/ilm/briefing), [Clock](./tools/clocks/clock-12-hr/clock-12-hr-no-sec-with-date-teal.html), [Calendar](./tools/calendar/calendar.html)