Mth 421 Theory of Ordinary Differential Equations I

Vector fields and phase flows in the plane. Geometric and algebraic properties of linear systems. Existence, uniqueness, and continuity theorems for systems. Additional topics. This is the first course in a sequence of three: Mth 421, Mth 422, and Mth 423 which must be taken in sequence. Also offered for graduate-level credit as Mth 521 and may be taken only once for credit.