An introduction to basic topological concepts including topological and metric spaces and their fundamental properties such as closure, compactness, connectedness, separation properties and countability properties. Other topics may include topics such as continuity,...
This class provides an introduction to Numerical Analysis and Linear Programming. Topics include solving linear and non-linear equations, analyzing the error and convergence criterion of such algorithms along with a deep dive into the simplex method. (3 credit...
The first half of the project will be a study of sets and sequences, limits and convergence, open and closed sets in the real line and in the plane, and the concept of a continuous function. The second half of the project will introduce and briefly discuss analysis...
The Coding Theory portion covers the construction and decoding of Hamming codes, Reed-Solomon codes, Goppa codes, LDPC codes, and others. The Cryptography portion includes entropy, hash functions, secret key and public key cryptosystems, and digital signatures. Both...
This class covers Matrix theory, rudimentary principles of Abstract Algebra focusing on groups and rings, and classical Number Theory concepts. The goal is to prepare students for studies in the practical application of such topics. (3 credit hours)
