MATH 4210

Nonlinear Dynamics and Chaos

Course Description

Course information provided by the 2026-2027 Catalog.

An introduction to nonlinear dynamics with applications to physics, engineering, biology, and chemistry. Emphasizes analytical methods, concrete examples, and geometric thinking. Topics include one-dimensional systems; bifurcations; phase plane; nonlinear oscillators; and Lorenz equations, chaos, strange attractors, fractals, iterated mappings, period doubling, renormalization. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Prerequisites MATH 2210 or MATH 2230 or MATH 2310 or MATH 2940; MATH 2220 or MATH 2240 or MATH 1920; or equivalents.

Forbidden Overlaps MAE 5790, MATH 4200, MATH 4210, MATH 5200

Enrollment Information Recommended prerequisites: MATH 2930 or equivalent.

Distribution Requirements (SMR-AS)

Last 4 Terms Offered 2026FA, 2024FA, 2024SP, 2023SP

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