Spring 2016


Calculus for Life Sciences

Overview of integral calculus, multivariable calculus, and differential equations for biological sciences. This course is required for students in School of Biology.

Introduction to Random Matrices

Special topics on Introduction to Random Matrices offered in Spring 2016 by Ionel Popescu.

Applied Stochastic Dynamics

Special topics on Applied Stochastic Dynamics offered in Spring 2016 by Molei Tao.

Advanced Graph Theory

Selection of topics vary with each offering.

Calculus of Variations

Minimization of functionals, Euler Lagrange equations, sufficient conditions for a minimum, geodesic, isoperimetric and time of transit problems, variational principles of mechanics, applications to control theory.

Introduction to Operator Theory

Theory of linear operators on Hilbert space; spectral theory of bounded and unbounded operators; applications

Stochastic Processes and Stochastic Calculus II

An introduction to the Ito stochastic calculus and stochastic differential equations through a development of continuous-time martingales and Markov processes. (2nd of two courses in sequence)

Probabilistic Methods in Combinatorics

Applications of probabilistic techniques in discrete mathematics, including classical ideas using expectation and variance as well as modern tools, such as martingale and correlation inequalities.

Statistical Techniques of Financial Data Analysis

Fundamentals of statistical inference are presented and developed for models used in the modern analysis of financial data. Techniques are motivated by examples and developed in the context of applications. Crosslisted with ISYE 6783.


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