The 500-level courses are in general, elective for students in elementary or exceptional education. A study of the structure of the integers, divisiblity, primes, congruenceclasses, linear congruenceies, diophantine equations. Fibonacci numbers and selected topics. Some topics will be developed and adapted by the students for the elementary classroom.
Many topic are to be presented using ideas that can be adapted for the elementary classroom.
The successful completions of the course work usually required for an undergraduate major in mathematics. This is necessary to provide a foundation for the understanding of the course content. An introductory course in modern algebra is recommended. Groups, semigroups, and monoids. Subgroups and cosets.