Teaching

My teaching experience extends back to 2004 as a graduate student at the University of Texas at Austin. I began my time there as a Teaching Assistant, and was later promoted to Assistant Instructor, at which point I became the instructor of record for two Precalculus courses. After obtaining my Ph.D., I continued working as a Lecturer in the same department for the Fall 2007 and Spring 2008 semesters, teaching three different levels of Calculus as well as an introductory Real Analysis course. In one of my post-doctoral positions, I taught one section of Multivariable Calculus and Introduction to Complex Variables at the University of British Columbia as well as Calculus I for the Biological Sciences at Simon Fraser University.

While employed at Oklahoma City University from 2011 to 2015, I taught Intermediate Algebra, College Algebra, Calculus I and II, Business Calculus, Foundations of Mathematics, Linear Algebra, Discrete Mathematics, Algebraic Structures I and Real Analysis I. In addition, I supervised several capstone projects and an independent study in Topology.  Since moving to Christopher Newport in 2015, I have taught these courses:

• 100 Level: Contemporary Mathematics, Elementary Statistics, Elementary Cryptography, Mathematics for the Life Sciences, Concepts for Calculus, Calculus for Business and Social Sciences, Calculus and Analytic Geometry

• 200 Level: Intermediate Calculus, Multivariable Calculus, Ordinary Differential Equations, Applied Matrix Techniques, Linear Algebra

• 300 Level: Real Analysis I, Modern Algebra I, Number Theory, Graph Theory and Combinatorics, Applied Probability, Linear Algebra and its Applications

• 400 Level: Modern Algebra II, Independent Learning Experience

• Independent Studies: p-adic Analysis, Diophantine Approximation, Algebraic Number Theory, Analytic Number Theory, The Riemann Zeta Function, Applications of Functional Analysis in Number Theory

Additionally, I developed and taught an honors course entitled The Power of Mathematical Thinking, and co-authored the following articles with students:

• • Y. Ayub and C.L. Samuels, Rotation Symmetries of Sequential Matrices with Applications to the Jacobi Symbol, PUMP J. Undergrad. Res. 2 (2019), 87-94.  

  • L. Aberg and C.L. Samuels, The Connections Between Consistent Maps and Measures, PUMP J. Undergrad. Res. 7 (2024), 69-78.

During the Fall 2024 semester, I am teaching the following courses:

• • MATH 132 -- Concepts for Calculus

  • MATH 148 -- Accelerated Calculus

  • MATH 370 -- Modern Algebra I