Graduate Mathematics
Graduate Mathematics
2023 Summer Term
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NUMBER THEORY
MATH 617
A study of the properties of integers, representation of integers in a given base, properties of primes, arithmetic functions, modulo arithmetic. Diophantine equations and quadratic residues. Consideration is also given to some famous problems in number theory.
TOPICS IN ANALYSIS
MATH 764
A graduate course exploring select topics in real and complex analysis with emphasis on computation, abstract argumentation, and connection to the theoretical basis for calculus and related courses. Topics include the topology of n-dimensional real space, integration in multiple dimensions, infinite series, calculus of a complex variable, and the Cantor set.
INDIVIDUAL STUDIES
MATH 798
In addition to allowing students to carry on independent studies in a wide variety of graduate level topics, students may take many of the department¿s upper level undergraduate courses supplemented with graduate components. These courses include advanced calculus, complex variables, differential equations, abstract algebra, number theory, probability, statistics, and more.