Mathematical Sciences Courses

Graduate Special Topics Courses

Undergraduate Special Topics Courses

MA 4891: Topics in Mathematics: Analytic Number Theory - Professor Joseph Fehribach

D Term 2027

This course will discuss a number of results from number theory that have been achieved using analysis, particularly the prime number theorem.  As background to these results, the course includes an overview of classical results in number theory (prime and composite numbers, sieve of Eratosthenes, fundamental theorem of arithmetic). The course will also include a review of the complex analysis needed for this proof.  Other topics covered, depending on time, include the analysis proof that  e  is irrational and the Dirichlet prime number theorem.  The text will again be Tom M. Apostol, Introduction to Analytic Number Theory, Springer, 1976.

MA 4892: Advanced Actuarial Tools for Real-World Risk Management - Professor Barry Posterro

D Term 2027

Beyond the Basics: Exploring Advanced Actuarial Tools for
Real-World Risk Management. Topics covered in this course would vary from one offering to the next. The purpose of this course will be to introduce actuarial topics that typically arise in
the professional actuarial organization’s curriculum beyond the point where aspiring actuaries are still in college. Topics might include ratemaking, estimation of unpaid claims, equity linked insurance products, simulation, or stochastic modeling of insurance products. Recommended background: Could vary by the specific topics being covered, but would typically include an introduction to the theory of interest and an introduction to actuarial mathematics (MA 2211 and MA 3212 or equivalent).