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First-order ordinary differential equations; second-order linear differential equations; series solutions; higher-order linear and matrix differential equations; existence and uniqueness theorems; may include introduction to basic partial differential equations (PDE) or Laplace Transforms.

Topics include first-order ordinary differential equations, second-order linear differential equations, series solutions, higher order linear and matrix differential equations, and existence and uniqueness theorems. Optional Topics: Introduction to basic PDE or Laplace Transforms. Not recommended for students who have taken MATH:2560, since there is considerable overlap. Requirements include in-class exams and a comprehensive final exam; homework involving problem solving is emphasized. Quizzes and/or homework may be collected. The course is taught by a faculty member.