This course is an introduction to ring theory. It covers integers, modular arithmetic, mathematical induction, equivalence relations and polynomials. Commutative rings, the Chinese remainder theorem, fields and integral domains, Euclidean domains, principal ideal domains, unique factorization domain, quotient rings and homomorphisms, construction of finite fields are also included. Applications such as public domain encryption, Latin squares and designs, polynomial error detecting codes, addition and multiplication of large integers and using a computer algebra system are important components of this course.

Prerequisites: Mathematics 200 [C- minimum grade required] and Mathematics 224 [C- minimum grade required] and 2nd year standing required
Corequisites: Academic Integrity Training 100
Further information: Course availability and times