This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Instructions for building and utilizing an origami tetrahedron in order to better understand the rotational symmetry group of a tetrahedron in abstract algebra.

This group created a peer-reviewed, solution manual
supplement to the textbook. They decided upon the exercises and concepts they individually struggled with the most throughout the semester (imagining other students would equally struggle) and they created detailed solutions and other commentary to explain their answers, thoughts, and methods. Then the group members swapped their work and peer-reviewed each other. All the materials were then seamed together as a single document. The source LaTeX file can be downloaded at https://drive.google.com/file/d/1-8CRkOoKBWMiGGfYRzXyVd9freJN745N/view.

A interactive map through ArcGIS Online chronocling the history of algebra up to the birth of abstract algebra with Galois. A transcript of the map can be found at https://drive.google.com/file/d/1-Bumff6Abv1Of8yT418Dtfk1gUDOT6k1/view.

A poem about mathematics, set theory, and how idempotent operations begins us all together.

This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.

We will explore the mathematical strategies behind popular games, toys, and puzzles. Topics covered will combine basic fundamentals of game theory, probability, group theory, and elementary programming concepts. Each week will consist of a lecture and discussion followed by game play to implement the concepts learned in class.

This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.

This course covers the basics of general relativity, standard big bang cosmology, thermodynamics of the early universe, cosmic background radiation, primordial nucleosynthesis, basics of the standard model of particle physics, electroweak and QCD phase transition, basics of group theory, grand unified theories, baryon asymmetry, monopoles, cosmic strings, domain walls, axions, inflationary universe, and structure formation.

A java code for computing modular exponents using the algorithm of repeated squares.

A java code for computing permutation algebra using standard cycle notation (right to left). The first version was produced during Fall 2017 and the second version was produced during Spring 2018. Version 2.0 is available for download (Readme can be found at https://drive.google.com/file/d/1-Mz6-6lMd2kL6WiWI4VnBuhclZ3C1dAw/view).