A survey of topics in arithmetic and analytic number theory, such as Eulers' function, quadratic reciprocity, continued fractions and the distribution of prime numbers. Repeatable, may be taken two times under different subtitles. An advanced seminar in an active area of mathematical research. Content depends upon instructor's choice. Repeatable, may be taken two times under different subtitles.
Emphasis is on group representations.
A broad yet deep survey of current topics in combinatorics and graph theory essential for teachers k-16, including applications to probability, coding theory, sorting and matching algorithms and optimization. Primarily for doctoral candidates preparing to teach in colleges or community colleges. Repeatable, may be taken two times. Required of all doctoral students. Four hours of credit for doctoral dissertation proposal research must be earned in partial fulfillment of requirements before admission to candidacy.