Fall 2013

Chaos and Fractals

Listed in: Mathematics and Statistics, as MATH-225

Faculty

David A. Cox (Section 01)

Description

The first half of the course will be devoted to the topic of chaos. This occurs when the long-term behavior of a system is unpredictable in predictable ways. The underlying mathematical construct is called a dynamical system, which can be discrete or continuous. We will study discrete dynamical systems in one and two dimensions and say a few words about the continuous case, which involves differential equations. The second half of the course will study fractals, which are wonderfully complicated mathematical objects that often have surprisingly simple descriptions. Some fractals will be encountered in the first half of the course, while others will be introduced in the second. A rich supply of fractals arises when dealing with complex numbers. This is where we will meet the famous Mandelbrot set.

Requesite: MATH 211 or consent of the instructor. Limited to 35 students. Fall semester.  Professor Cox.

If Overenrolled: Priority to pre-registered Amherst students--seniors first, then a mix from other years based on lottery; 5-college students if space permits; must attend 1st class

Cost: $25 ?

MATH 225 - LAB

Section 01
M 09:00 AM - 09:50 AM WEBS 102

MATH 225 - LEC

Section 01
W 09:00 AM - 09:50 AM SMUD 207
Th 09:00 AM - 09:50 AM SMUD 207

MATH 225 - DIS

Section 01
F 09:00 AM - 09:50 AM SMUD 206

This is preliminary information about books for this course. Please contact your instructor or the Academic Coordinator for the department, before attempting to purchase these books.

ISBN Title Publisher Author(s) Comment Book Store Price
Chaos and Fractals CRC Press Denny Gulick Amherst Books TBD

These books are available locally at Amherst Books.

Offerings

2024-25: Not offered
Other years: Offered in Fall 2013, Fall 2014