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MATH 63CM. Modern Mathematics: Continuous Methods. 5 Units.

A proof-based course on ordinary differential equations, continuing themes from Math 61CM and Math 62CM. Topics include linear systems of differential equations and necessary tools from linear algebra, stability and asymptotic properties of solutions to linear systems, existence and uniqueness theorems for nonlinear differential equations with some applications to manifolds, behavior of solutions near an equilibrium point, and Sturm-Liouville theory. Prerequisites: Math 61CM and Math 62CM.


...either sequence ( MATH 61CM , MATH 62CM , MATH 63CM ) or ( MATH 61DM , MATH 62DM , MATH 63DM...