Directory of Classes
NOTE: Course information changes frequently. Please re-visit these pages periodically for the most recent and up-to-date information.

Fall 2017 Applied Mathematics E4101 section 001
APPL MATH III:DYNAMICAL SYSTMS
INTRO TO DYNAMICAL SYSTEMS

Call Number 11085
Day & Time
Location
TR 8:40am-9:55am
545 Seeley W. Mudd Building
Points 3
Approvals Required None
Instructor Marc W Spiegelman
Type LECTURE
Course Description Prerequisites: (APMA E2101) and (APMA E3101) An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Therem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.
Web Site CourseWorks
Department Applied Physics and Applied Mathematics
Enrollment 63 students (75 max) as of 12:15AM Saturday, November 18, 2017
Final Exam Day/Time
T 9:00am-12:00pm
Final Location 545 Seeley W. Mudd Building
Subject Applied Mathematics
Number E4101
Section 001
Division School of Engineering and Applied Science: Graduate
Open To Columbia College, Engineering and Applied Science: Undergraduate, General Studies, Barnard, Graduate School of Arts and Science, Engineering and Applied Science: Graduate
Campus Morningside
Section key 20173APMA4101E001

Home      About This Directory      Online Bulletins      ColumbiaWeb      SSOL
SIS update 11/18/17 00:15    web update 11/18/17 15:09