21-630 Ordinary Differential Equations Units: 12.0 Department: Mathematical Sciences Related URLs: http://www.math.cmu.edu Basic concepts covered are existence and uniqueness of solutions, continuation of solutions, continuous dependence, and stability. For autonomous systems, topics included are: orbits, limit sets, Liapunov's direct method, and Poincar-Bendixson theory. For linear systems, topics included are: fundamental solutions, variation of constants, stability, matrix exponential solutions, and saddle points. Time permitting, one or more of the following topics will be covered: differential inequalities, boundary-value problems and Sturm-Liouville theory, Floquet theory.

Discuss this course  Textbook prices  View FCE Results  View FCE Results Prior to Fall 2004  Check Availability   Popularity index Rank for this semester: #1235 Rank in this department: #50   Students also scheduled 21-371 Functions of a Complex Variable 21-365 Projects in Applied Mathematics 24-736 Special Topics 21-259 Calculus in Three Dimensions 21-484 Graph Theory 21-123 Calculus of Approximation 36-247 Statistics for Lab Sciences 21-465 Topology and Geometry 21-373 Algebraic Structures 21-127 Concepts of Mathematics