**84189 MAP 5316 U01 Ordinary Differential Equations
**(3) TuTh. Time
1825-1940. Room CP 117 (contact: rukim@fiu.edu).

*Fall 2007*

**Instructor:**
PHILIPPE RUKIMBIRA

**Description:** Topics include:

Existence and uniqueness theorem, matrix formulation, physical applications,
regular singular points, autonomous systems, Laplace transform, special
topics.

Prerequisites: MAA 3200 (Introduction to advanced mathematics), MAA
4402 (Complex variables) and MAS 3105 (Linear Algebra)
**References**:

**(Textbook)** Carmen Chicone, Ordinary Differential Equations*,*
Springer, Texts in Applied Mathematics, 34, 1999. (ISBN
0-387-98535-2)
**(Topics)** Existence theory, Flows, Invariant manifolds,
Linearization, Omega limit sets, Phase plane analysis, Stability
(1.1--1.8), Linear systems theory, Linearized
stability; Applications: Origins of ODE: PDE (Section 3.6)
**(Grading)** Two midterms worth 30/100 each and a
comprehensive final exam worth 40/100. A final grade of ``A"
requires at least 90/100 of the total score; a ``B" requires 75/100,
a ``C" requires 50/100. Any score lower than 50/100 will lead to a
failling grade
``F".
The dates for the midterms are October 4 and November 15.
The date for the final examination is Tuesday, December 11,
2007; 2000-2245.

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