## Teaching

**Mathematics of Finance****Markov Chains and Probablity Theory**

Text for Math 4740 - the first course on Math Finance usually offered in the fall semester -- Shreve, Intro to Stochastic Calculus Vol 1, Springer-Verlag

The syllabus for Math 6740 - second course on Math Finance offered in the spring, and based on Shreve Vol 2 and Etheridge - will be availble in class and will focus on the Black-Scholes theory using a basic approach to stochastic integrals, SDE and Gaussian distributions which replaces the prerequisite of measure theory and the full rigor of Ito's calculus with calculation methods and algorithms that are suitable for students with an undergrad preparation in probability and statistics, and for practitioners on finance. The second course will provide the concepts and skills needed to work with SDE within finance. Additional applications to Network Science, Math Physics and Engineering topics will be discussed. This course will be useful to advanced undergrads and graduate students, especially in FERA, Lally, CS, Math, but also other science and engineering majors and social scientists interested in quantitative tools.