Applied Differential Equations I

This is MAP 6327, Section 8470.

Time and place:
MWF 3rd Period (9:35-10:25), LIT 233.

Instructor:
Patrick De Leenheer
Office: 411 Little Hall
Phone: 352-392-0281 ext. 240 (but I prefer email!).
Office Hours: MWF 4th Period (10:40-11:30) or by appointment.
Email: deleenhe@math.ufl.edu
URL: www.math.ufl.edu/~deleenhe

Prerequisites:
MAA 5229.

Text:
Carmen Chicone: Ordinary Differential Equations with Applications (Springer).

Topics:
We will cover the first 3 chapters of the text.

Course objectives:
Qualitative theory of (non)linear ordinary differential equations; existence, uniqueness and continuity of solutions, extension of solutions; (asymptotic) stability, Lyapunov functions; limit sets, Poincare-Bendixson's Theorem; linear systems, exponential map, stability criteria, stability of nonlinear systems by linearization; Floquet theory for linear periodic systems; applications (mainly from mechanics).

Grading:
Course grades will be determined by your performance on homework problems and 1 class presentation.

Grading Scale (maximum of 100%):

A: [>=85%]   B+: [76-84%]     B: [70-75%] C+: [65-69%]   
C: [60-64%]   D+: [55-59%]     D: [50-54%]    E: [<50%] 

University policy on accommodations for students with disabilities:
"Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation."