Differential Equations Schedule
	rev. 1/22/2008
week			topics…	read…	due in class
1	22-Jan	Tu	What's a DE?  What's a solution? Some Modeling. Separable Equations.	1.1, pp. 1-8 1.2, pp. 10-28
	24-Jan	Th	More separable equations. Slope fields. Software tools.	1.3, pp. 36-43	1.2 ## 2, 3, 6, 7, 10, 26 Also, "problem 1"
2	29-Jan	Tu	Euler's method for numerical solutions. Existence and Uniqueness.	1.4, 1.5
	31-Jan	Th	More existence and uniqueness: extending solutions; continuous dependence on initial conditions and parameters. Autonomous equations.  Equlibria, attracting or otherwise.  Phase lines.	1.6
3	5-Feb	Tu	First-order linear equations (formula handout).  Homogeneous equations.	1.8
	7-Feb	Th	First-order linear equations: linear model with general and particular solutions; exact equations and integrating factors. More modeling (logistic model).	1.9; rest of 1.1, 1.2
4	12-Feb	Tu	Systems of equations	2.1
	14-Feb	Th	Vector fields in the phase plane: sources, sinks, periodic solutions, attractors	2.2
5	19-Feb	Tu	Analytic methods: Decoupled and partly decoupled systems, substitutions in systems, conserved or monotone quantities	2.3
	21-Feb	Th	Euler's method for systems	2.4	exam about now
6	26-Feb	Tu	Linear systems. Geometry and eigenvalues.	3.1-3.2
	28-Feb	Th	Straight-line solutions. Geometry of systems with two eigenvalues.	3.3
7	4-Mar	Tu	What if the eigenvalues are complex? "Undetermined coefficients." Zero eigenvalues and repeated eigenvalues.	3.4
	6-Mar	Th	Higher-order linear equations (not sytems) with constant coefficients	3.5, 3.6
Spring Break
8	18-Mar	Tu	(Schedule from here on is speculative) Traces and determinants again. Examples of linearization.	3.6, 3.7, 3.8
	20-Mar	Th	Higher-dimensional systems; first example from chapter 4
9	25-Mar	Tu	Chapter 4: systems with forcing terms	4.1
	27-Mar	Th	More systems with forcing terms	4.2	exam about now
10	1-Apr	Tu	Chapter 5?  More likely, skip to Chapter 6, numerical methods	Ch. 6
	3-Apr	Th
11	8-Apr	Tu	Laplace transforms: example of solving and equation; example involving convolutions	Part of Ch. 7
	10-Apr	Th
12	15-Apr	Tu	Dynamic systems: bifurcations and all that	Ch. 8 and excursions
	17-Apr	Th
13	22-Apr	Tu	Auction examples?
	24-Apr	Th	Kepler orbits: solution of r''=r/(|r|^3)
14	29-Apr	Tu
	1-May	Th	Party / picture
Final exam