MA573 - Qualitative Differential Equations - Fall 2014 Lecture: MWF 10:00-11:00am in PSY B39 Contact Information: Instructor: Margaret Beck Office: MCS 233 Phone: 617-358-3314 Email: mabeck -at- math.bu.edu Office Hours: M 1:00-2:30pm and W 4:00-5:30pm

Announcements:

Announcements will be made in class and posted here as needed.

Course Info:
• A .pdf file of the syllabus can be found here.
• Textbook: "Nonlinear dynamics and chaos with applications to physics, biology, chemistry, and engineering," by Steven H. Strogatz. The BU library entry for this book is here.
• Grading policy: grades will be based on homework (40%), one midterm (30%), and the final exam (30%).
• Extra help: if you need some, please ask me! Also see the syllabus for other ways to get help.

Homework Assignments:
• HW1 (assigned Fri Sept 5, due Fri Sept 12 at 10am): 2.2.3, 2.2.4, 2.2.8, 2.2.9, 2.2.10, 2.4.4, 2.4.5, 2.6.2
• HW2 (assigned Fri Sept 12, due Mon Sept 22 at 10am): 3.1.5, 3.4.6-3.4.9, 3.4.16, 3.6.2, 3.6.3, 3.7.2, 3.7.4
• HW3 (assigned Wed Sept 24, due Fri Oct 3 at 10am): 4.3.3, 4.5.1, 5.1.9, 5.1.10de, 5.2.2, 5.2.3, 5.2.5, 5.3.4
• HW4 (assigned Fri Oct 3, due Fri Oct 17 at 10am): 6.1.4, 6.1.8, 6.1.9, 6.1.12, 6.1.13, 6.2.2, 6.3.6, 6.3.10, 6.5.2, 6.5.11, 6.6.3
Note: two of the exercises ask you to plot a phase plane using a computer. Feel free to use any software you like. A very basic way to do this is to follow the instructions here.
• HW5 (assigned Mon Oct 20, due Wed Oct 29): 7.1.3, 7.1.8, 7.2.4, 7.2.9, 7.2.12, 7.3.3
• HW6 (assigned Wed Oct 29, due Fri Nov 7): 7.5.5, 7.6.3, 7.6.5, 7.6.13 (up to order epsilon only), 7.6.18
• HW7 (assigned Mon Nov 10, due Mon Nov 24) is here.
• HW8 (assigned Mon Dec 1, due Wed Dec 10): 9.2.2, 9.2.4, 9.3.1, 9.3.8, 9.4.2, 10.1.12, 10.5.1

Unless otherwise noted, these are optional. I've just put them here in case you're interested.
• Spruce budworm paper, relevant for Cpt 2 on bifurcations in 1D: [.pdf]
• Synchronization in fireflies, relevant for Cpt 3 on dynamics on the circle: [.pdf]
• Lorenz's original paper: [.pdf]

Midterm/Exam info:
• Midterm: This will be during class-time on Friday, October 17. The midterm will cover chapters 1-6 of Strogatz, except for 6.8 on index theory. The questions on the midterm will be similar to in-class examples and to problems from the HW assignements.
• Final: This will be Wednesday, December 17, from 9-11am in our usual classroom. It will be cummulative, covering all the material we've covered this semester. The questions will be similar to in-class examples, problems from the HW assignments, and problems from the midterm.