About MATH 3766 A
Discrete and continuous dynamical systems, Julia sets, the Mandelbrot set, period doubling, renormalization, Henon map, phase plane analysis and Lorenz equations. Credit not awarded for both MATH 3766 and CSYS 5766 or MATH 5766. Prerequisite: MATH 2522 or MATH 2544; CS 1210 recommended.
Notes
Prereqs enforced by the system: MATH 2522 or MATH 2544; Open to Degree and PACE students
Section Description
This course investigates the mathematical phenomenon of 'chaos' encountered when attempting to predict the future state of any complex system. The Earth's atmosphere represents the hallmark example of chaotic behavior; famously rendered in the metaphor of a butterfly flapping its wings in Brazil setting off a tornado weeks later in Texas. Former undergraduate and graduate students in math, physics, computer science, engineering, biology, and a few other areas have broadened their understanding of mathematical modeling of nonlinear dynamical systems through this course. System behavior that experiences bifurcations from one attracting state to another will be understood from a theoretical, experimental, and numerical perspective.
Section Expectation
The course is mainly lecture based, with interaction taking place outside of the class through weekly HW help sessions during office hours. The course requires some experience with Linear Algebra, and programing experience is suggested (but not required).
Evaluation
Weekly assignments (12 total) consist of 5 questions (4 textbook questions and a single programming exercise). There will be a pair of take-home exams at the midpoint and end of the course. HW and Exams are weighted equally.
Important Dates
| Last Day to Add | |
|---|---|
| Last Day to Drop | |
| Last Day to Withdraw with 50% Refund | |
| Last Day to Withdraw with 25% Refund | |
| Last Day to Withdraw |
Resources
Remind Me Form
MATH 3766 A is closed to new enrollment.
Fill out the form fields and you will be notified when the course is updated with details for next term. What can you do while you wait? Get your application started now by completing our pre-registration form.