Elementary Number Theory provides a solid foundation for all students in mathematics. This course covers basic properties of integer arithmetic, including unique prime factorization, Euclid’s algorithm, Diophantine equations, modular arithmetic, congruences, induction, well-ordering, quadratic residues and quadratic reciprocity.

Mathematica Computer Lab enables students to explore the application of ideas discussed in the Number Theory and Problem Solving courses. Students use the software Mathematica to model real world problems. Specific applications include coding theory, public key encryption, testing for primes, and the Chinese Remainder Theorem.

The Honors Seminar is designed to familiarize all students with the opportunities available at a university. Students keep a journal and have seminar type discussions about readings on ethical issues in science, career options, and their own individual goals for the future.

Combinatorics, Abstract Algebra, Analysis, and Topology provide returning students with a firm foundation in fundamental areas of mathematics, while building on ideas from the first year.