Courses

For ages, medical science has always used biological explanations. And now, the expansion of medicine is leading to a new path, the use of mathematical modeling to explain physiological patterns. The objective of this project is to model normal, healthy blood pressure curves using mathematical programs. The ability to perform such a task will lead to any deviations from the normal curve being connected to certain health problems.

Spring 2008 Syllabus

Spring 2018 Syllabus

The main theme of this course will be graph theory. We will discuss a wide range of topics, including spanning trees, eulerian trails, matching theory, connectivity, hamiltonian cycles, coloring, planarity, integer flows, surface embeddings, and graph minors. The prerequisites for the course are very modest—all graduate students should be able to follow the lectures. There are many books on graph theory.

Text: Calculus Early Transcendentals (2008) by Jon Rogawski

Our Lady of the Lake P.E.T. Imaging Center ROC Project

Brachial Artery Dilation Analysis

Williams Olefins Project

Optimization of revenue for William Olefins

Williams Olefins came to the Math Department looking for a program that would maximize revenue. Their ethylene producing plant located near Geismar, LA is equipped with 13 furnaces used to produce 12 different products.

Radiation Therapy Optimization

Mathematical Model of Systolic Blood Pressure Fluctuations

Analysis of Heart Rate Variability

Tracking of Honeywell's Downtime

Seismic Sled Data Noise Filtration

Project description

Data acquisition process

Goals

Algorithm and methods

Reconstruction and stability analysis of human gait time series:

William Olefins Project: