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Fall 2014 Applied Mathematics E4101 section 001

Call Number 15272
Day & Time
MW 8:40am-9:55am
1024 Seeley W. Mudd Building
Points 3
Approvals Required None
Instructor Michael I Weinstein
Course Description Prerequisites: APMA E2101 (or MATH V1210) and APMA E3101 or their equivalents, or instructor's permission. 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 Theorem); 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 48 students (70 max) as of 1:19AM Tuesday, March 3, 2015
Final Exam Day/Time December 17
W 9:00am-12:00pm
Final Location 1024 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 20143APMA4101E001

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