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MATH 5200

Differential Equations and Dynamical Systems

3.0 credits · Graduate

Covers ordinary differential equations in one and higher dimensions: qualitative, analytic, and numerical methods. Emphasis is on differential equations as models and the implications of the theory for the behavior of the system being modeled and includes an introduction to bifurcations. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

spring 2026

Readings

  • Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol I: Ordinary Differential Equations , Springer-Verlag, 1995 (ISBN: 0-387-97286-2) — free e-book through the Cornell Math Library
    Listed textbook
  • Hubbard & West, Differential Equations: A Dynamical Systems Approach; Vol II: Higher-Dimensional Systems , Springer-Verlag, 1995 (ISBN: 0-387-94377-3) — free e-book through the Cornell Math Library
    Listed textbook

Prerequisites & course information

background equivalent to: MATH 2210 or MATH 2230 or MATH 2310 or MATH 2940; MATH 2220 or MATH 2240 or MATH 1920.

Sources
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