MA771  Discrete Dynamical Systems  Spring
2017
Lectures: MWF 11:1512:05 in MCS B23
Content of Course:
This course is a graduate level introduction to the mathematical theory of discrete dynamical
systems. The plan is to cover key topics from topological dynamics,
lowdimensional dynamics, hyperbolic dynamics, symbolic dynamics, and ergodic
theory, including fundamental examples such as circle rotations, expanding maps, shifts and subshifts,
quadratic maps, toral automorphisms, and horseshoes.
Your grade will be based entirely on homework assignments, which will be
assigned approximately every two weeks throughout the semester. Here is the syllabus.
Announcements:
 There will be no class or office hours on Mon 3/20 or Wed 3/22.
Homework:
 HW 1, due Friday, Feb 10: On pages 2425, please do 2.12.5, 2.8, 2.12, and 2.14
 HW 2, due Tuesday (which has a Monday schedule), Feb 21: On page 54,
please do 3.2, 3.4, and 3.63.8
 HW 3, due Friday, March 3: On pages 5455, please do 3.93.13 and 3.16.
 HW 4, due Friday, March 24: On pages 8485, please do 4.4, 4.5, 4.74.9,
and 4.154.16.
 HW 5, due Wednesday, April 5: On pages 109110, please do 5.2, 5.8, 5.9,
5.12, and 5.13.
 HW 6, due Wednesday, April 19: On pages 178179, please do 7.1, 7.4, 7.11
(parts 2 and 3 only), 7.13, 7.15, and 7.16.
 HW 7, due Monday, May 1 (please put it in my maibox by 11:15am): On pages
200202, please do 8.1, 8.4, 8.15, and 8.20 (part 1 only).
Books and references:
The main book we will use is a
If you click on the above link and are oncampus (or logged into the campus
VPN), you should then be able to click on the "book" link and get a free .pdf
copy of the book.
Other books you may find useful include
 "Concepts and results in dynamical systems," P. Collet and
J.P. Eckmann, SpringerVerlag 2006.
 "Dynamical
systems: stability, symbolic dynamics, and chaos," C. Robinson,
CRC Press, 1999.
 "Introduction to Dynamical Systems," M. Brin and G. Stuck, Cambridge
University Press 2002.
 "Introduction to the Modern Theory of Dynamical Systems,"
A. Katok and B. Hasselblatt, Cambridge University Press 1995.
 "An
introduction to ergodic theory," P. Walters, SpringerVerlag, 1982.
 "Topics from
OneDimensional Dynamics," K. M. Brucks and H. Bruin, Cambridge University Press, 2004.
You don't need to buy any of these books. For background reading (ie targeted more towards advanced undergraduates),
consult
Contact Information
Instructor: Margaret Beck
Office: MCS 233
Phone: 6173583314
Email: mabeck at math.bu.edu
Office Hours: Mondays 2:303:30, Wednesdays 1011, or by appointment
