Teaching

Math 448 - Mathematical Models and Methods in Biology

Undergraduate course, CSUSM, Department, 2022

Introduces mathematical models in Biology and their analysis. Both one dimensional models, including the Malthusian Model and the logistic model, and multi-dimensional models, including structured population models and predator-prey models, are studied, as are matrix models for base substitution in DNA, phylogenetic trees, and sequence alignment. Mathematical concepts and methods to formulate and analyze these models include limits, derivatives, matrix algebra, eigenvectors, probability theory, and dynamic programming. Software is used to simulate models and visualize the numerical results.

Math 350 - Foundations for Theoretical Mathematics

Undergraduate course, CSUSM, Department, 2022

Fall 22 Teaching: Bridge course between computation-driven mathematics and theoretical mathematics. Designed to familiarize the student with the language and process of rigorous mathematical thought, speech, and writings through the introduction of typical and important examples from algebra, analysis, combinatorics, and geometry. Covers elementary logic, methods of proof, mathematical induction, sets, relations, equivalence relations, functions, inverse functions, binary operations and cardinality. Mathematics majors are encouraged to take this course as early as possible.