Courses

Teacher information

Name:

Bogdan Oporowski

Office:

352 Lockett Hall

Phone:

+1.225.578.1579

Email:

bogdan@math.lsu.edu

Office Hours:

MWF 12:30–1:20 and by appointment

Course Information

Course:

MATH 1550 Analytic Geometry and Calculus I, Section 29

Class Time:

MTuWThF 1:30–2:20

Class Location:

239

Course Redesign for Precalculus Using Technology

To understand the method for calculating the Lyapunov exponent of a human gait system several key characteristics found in the walking motion of humans should be mentioned. First it should be understood that human gait by nature, is a nonlinear dynamical system. In previous studies (England, et al) it has also been observed that human gait, in order to maintain stability must exhibit roughly periodic behavior. It is because of this non-linear, periodic behavior that the Lyapunov exponent is relevant in analysis of such a system.

This optimization project comes from the Honeywell Chemical Plant in Geismer, LA, a major producer of HF. The plant is seeking to optimize the effectiveness of plant operations by examining their hourly operation data to find what factors are limiting production and increasing unnecessary downtime.

This project is on frequency and time domain analysis of heart rate data. The goal is to detect heart rate variability in sympathetic and parasympathetic frequency ranges. Software was developed in cooperation with the kinesiology department since 2001. Currently the user interface is being developed. In the past semester interface was completely remodeled and it is being written in Matlab GUIs.

This project is concerned with taking seismic data from the geology department and figuring out how to remove noise from the data to get a more accurate reading. The land-streamer was created to make recording seismic data easier. The land-streamers are wooden sleds with one geophone attached to each of them. These sleds are strung together and drug behind a 4X4 vehicle and pulled down the line of interest. The sleds are stopped at specified increments and then a seismic blast is created causing vibration in the ground for the geophones to pick up. Then they are moved to the next location.

This project comes from Our Lady of the Lake PET Imaging Center. The center is seeking to automates cancer detection and treatment into a more precise process.

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. Being able to detect health problems in their early stages, can help doctors treat patients before their health affects their life in a bad way.

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.