数学

• You can expect to learn mathematics from motivated instructors who combine lectures 与 computer learning and student presentations. With a major in mathematics, you will receive a great deal of personal attention, due to the student professor ratio. 
• You can also leverage Pittsburgh’s tight-knit academic community through connections our faculty have around the region.
• Students in the mathematics program will have the opportunity to participate in the COMAP competition to solve real-world problems, attend conferences of 是, the mathematics honor society, as well as presenting papers as part of the Mathematical Association of America.

The 历史 and Theory of Numbers

A survey of the history of our number system and theory of numbers. Topics covered include the development of number systems and mathematics from before the sixth century to the present, 可分性, 分解, arithmetic functions, quadratic reciprocity, 原始的根, diophantine equations.

概率

An introduction to the theory of 概率 and the role of proofs in mathematics. Topics include discrete and continuous 概率 functions, 随机变量, 预期, 时刻, moment generating functions, the central limit theorem, Chebyshev’s inequality. Applications of 概率 such as queuing theory, 马尔可夫过程, reliability theory also will be covered.

Numerical Methods and Mathematical Modeling

Numerical methods and mathematical models used in computational science, including techniques for solving scientific problems, scientific visualization, 和向量, 平行, distributed and massively 平行 architecture.