MATH 4010 Applied Algebra

Concepts of modern algebra are applied to different areas. Topics include Boolean algebra and applications to switching theory; automata (finite state machines) and Turing machines; recursive functions and some ideas in theory of computability, groups, rings, polynomial rings, finite fields applied to coding theory, development of binary group codes, Hamming codes, B-C-H codes, relations of geometry and statistical block designs to codes; importance of codes in communications. Prerequisite(s): MATH 2020 OR MATH 3010
Credits: 3.0