fa19

Fall 2019

Archived: 

Stochastic Processes and Stochastic Calculus I

An introduction to the Ito stochastic calculus and stochastic differential equations through a development of continuous-time martingales and Markov processes. (1st of two courses in sequence)

The Practice of Quantitative and Computational Finance

Case studies, visiting lecturers from financial institutions, student group projects of an advanced nature, and student reports, all centered around quantitative and computational finance. Crosslisted with ISYE and MGT 6785.

Design and Implementation of Systems to Support Computational Finance

Introduction to large scale-system design to support computational finance for options, stocks, or other instruments.

Advanced Linear Algebra

An advanced course in Linear Algebra and applications.

Harmonic Analysis

Fourier analysis on the torus and Euclidean space.

Graph Algorithms

Algorithms for graph problems such as maximum flow, matching, network reliability, minimum cuts, covering, coloring, planarity, shortest paths, and connectivity. Crosslisted with CS 7510 and ISYE 7510.

Linear Statistical Models

Basic unifying theory underlying techniques of regression, analysis of variance and covariance, from a geometric point of view. Modern computational capabilities are exploited fully. Students apply the theory to real data through canned and coded programs.

Numerical Linear Algebra

Introduction to the numerical solution of the classic problems of linear algebra including linear systems, least squares, SVD, eigenvalue problems. Crosslisted with CSE 6643.

Real Analysis I

Lebesgue measure and integration, differentiation, abstract measure theory.

 

This course is equivalent to MATH 6579. Students should not be able to obtain credit for both MATH 6579 and MATH 6337.

Probability I

Develops the probability basis requisite in modern statistical theories and stochastic processes. Topics of this course include measure and integration foundations of probability, distribution functions, convergence concepts, laws of large numbers and central limit theory. (1st of two courses)

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