Math A4500, Section PR, Spring 2017

Final presentations will be given during our scheduled Final Exam slot: Tuesday, May 23rd from 1-3:15pm.

Practice for midterm 3. Solutions.
Final Project information sheet.
Practice for midterm 2. Solutions to all but the last two problems.
Another treatment of Sharkovsky's Theorem:
Keith Burns and Boris Hasselblatt, The Sharkovsky theorem: a natural direct proof
Solutions to Midterm 1.
Cantor sets in the Logistic family: These notes prove the existence of an invariant Cantor set for certain Logistic maps.
The logistic family with 2<μ<3: Thest notes prove that logistic maps with parameters 2<μ<3 are topologically conjugate.
Notes on conjugacy in the Logistic family: These notes prove that the maps F_μ with μ < 1 are conjugate to those maps F_μ with μ > 1.
Practice for midterm 1.
The topological dynamics of rotations: A proof of the statement that forward orbits of a rotation are dense if and only if the rotation is irrational. This is an expanded version of the proof given in class, and differs from the proof in our textbook.

Meeting times:	TuTh 2-3:40pm in Shepard 20
Instructor:	Prof. Patrick Hooper
Office:	NAC 6/282
Office Hours:	Tuesdays 12-1pm and Thursdays 4-5pm on any day our class meets. Appointments also accepted.
Email:
Phone:	(212) 650-5149

Math A4500, Section PR, Spring 2017: Dynamical Systems
Prof. Hooper