MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01CBB6FE.8F31B8E0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01CBB6FE.8F31B8E0 Content-Location: file:///C:/9683E1E5/Math181Spring2011Schedule.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
Math 181/281
Tentative Schedule of Lecture=
s and
Examinations
Date &=
nbsp; &nbs=
p; Topic
W Jan.<=
span
style=3D'mso-spacerun:yes'> 19&=
nbsp; What
is a dynamical system?
M &n=
bsp; Jan. 24 Fundamental
existence and uniqueness theory
W Jan. 26 Existence =
and
uniqueness theory continued
M &n=
bsp; Jan. 31&=
nbsp; Continuous
dependence on initial conditions
W Feb. 2&n=
bsp; Continuous
dependence (continued)
M &n=
bsp; Feb. 7&n=
bsp; Continuous
dependence on parameters
W Feb. 9&n=
bsp; Continuous
dependence (continued)
M &n=
bsp; Feb. 14 Definit=
ion
of dynamical systems
W Feb. 16 Integral curves,
flow domains and flows
M &n=
bsp; Feb. 21 Linear
systems
W Feb. 23 Equilib=
rium
points and stability
M &n= bsp; Feb. 28 Review<= o:p>
W &nb=
sp; Mar. 2 &=
nbsp; Exam
1
M &n=
bsp; Mar. 7&n=
bsp; Classific=
ation
of equilibria
W Mar. 9&n=
bsp; Local
theory: Linearization
M &n=
bsp; Mar 14 Spring Recess
W Mar. 16=
Spring Recess
M &n=
bsp; Mar. 21=
Lineari=
zation
(continued)
W Mar. 23=
Stable
and unstable manifolds
M &n=
bsp; Mar. 28=
The
Hartman-Grobman Theorem
W Mar. 30=
Orbits,
limit sets and attractors
M &n=
bsp; Apr. 4 Inv=
ariant
sets
W Apr. 6 Lia=
punov
functions
M &n=
bsp; Apr. 11=
Planar
systems
W Apr. 13=
The Poincaré-Bendixson Theorem=
span>
M &n=
bsp; Apr. 18=
Structu=
ral
stability
W Apr. 20=
Bifurca=
tion
M &n= bsp; Apr. 25= Review<= o:p>
W Apr. 27=
Exam
2
M &n=
bsp; May 2&n=
bsp; Rev=
iew
W May 4&n=
bsp; Rev=
iew
M =
May 9&n=
bsp; =
Final
Examination