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Department of Mathematics
Math 181/281. Dynamical Systems
Spring 2011
Time and Place: =
MW 7:00 pm - 8:15 pm Andrew 253.
Instructor:<=
span
style=3D'mso-spacerun:yes'> =
Dr.
Adolfo J. Rumbos
Office:<=
span
style=3D'mso-spacerun:yes'> =
=
Andrew 259.
Phone/e-mail:<=
span
style=3D'mso-tab-count:2'> &=
nbsp; ext. 18713 / arumbos@pomona.edu=
span>
Course Website: =
http://pages.pomona.edu/~ajr047=
47/
Office Hours: MWF 9:30 am - 10:50 am or by
appointment
Text:<=
span
style=3D'mso-spacerun:yes'> =
Ordinary Different=
ial
Equations by Jack K.
Hale
=
&nb=
sp; =
Dover
Publications, Inc., 2009 edition.=
<=
span
style=3D'font-size:12.0pt;mso-bidi-font-size:10.0pt;font-family:"Times New =
Roman";
mso-fareast-font-family:"MS Mincho"'>Prerequisites: Linear
algebra, elementary ordinary differential equations and real analysis.
Course
Description. This course provides an
introduction to the theory and applications of continuous Dynamical
Systems. We begin with the st=
udy of
the fundamental existence and uniqueness for ordinary differential equation=
s,
as well as the results on continuous dependence on initial conditions and
parameters. We then define co=
ntinuous
dynamical systems and explore their properties. In particular, we study stability =
and
bifurcation properties and various techniques and results that arise in the
theory and applications.
Assigned
Grading
Policy. Grades will be based on the
homework, two 50-minute examinations, plus a comprehensive final
examination. The overall scor=
e will
be computed as follows:
&=
nbsp; &nbs=
p; homework &=
nbsp; &nbs=
p; &=
nbsp;
&=
nbsp; 20%
&=
nbsp; &nbs=
p; two
50-minute exams &nbs=
p; &=
nbsp; &=
nbsp; 50%
&=
nbsp; &nbs=
p; final
examination &n=
bsp;  =
; &n=
bsp;  =
; 30%
Final
Examination.
Time: Mond=
ay, May
9 7:00
pm - 9:00 pm.
Place: Andrew 25=
3