Mathematics

• You can expect to learn mathematics from motivated instructors who combine lectures with 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 Pi Mu Epsilon, the mathematics honor society, as well as presenting papers as part of the Mathematical Association of America.

The History 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, divisibility, factorization, arithmetic functions, quadratic reciprocity, primitive roots, and diophantine equations.

Probability

An introduction to the theory of probability and the role of proofs in mathematics. Topics include discrete and continuous probability functions, random variables, expectations, moments, moment generating functions, the central limit theorem, and Chebyshev’s inequality. Applications of probability such as queuing theory, Markov processes, and 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, and vector, parallel, distributed and massively parallel architecture.