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Courses / Undergraduate / MATH

MATH 451S

Nonlinear Dynamics and Chaos

Vincent Goverse

Description from DukeHub

Theory and applications of systems of nonlinear ordinary differential equations. Topics may include qualitative behavior, numerical experiments, oscillations, bifurcations, deterministic chaos, fractal dimension of attracting sets, delay differential equations, and applications to the biological and physical sciences. Research project and paper required. Prerequisite: Mathematics 216 or 356 or consent of instructor.

Skills

AI-resilient: 1 of 5

  • No: Physical, lab or field work
  • No: Live work with people
  • No: Judgment someone is accountable for
  • No: A craft you practice with your hands or body
  • Yes: Small, in-person format · seminar, 18 seats per section

The checks lean on Microsoft Research, Working with AI (2025), which found generative AI applies least to physical work and hands-on work with people. A signal, not a promise. How the score works

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