ORDINARY DIFFERENTIAL EQUATIONS

Name: ORDINARY DIFFERENTIAL EQUATIONS
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Rating: 4.8 (86 reviews)

MATH 716

과목 설명

Existence, uniqueness, and continuous dependence theorems, linear systems, stability, singular points, and boundary value problems. Qualitative behavior of nonlinear equations, stability, Lyapunov functions, invariant manifolds, bifurcation theory, periodic orbits, and connecting orbits.

선수과목

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

충족 요건

This course does not satisfy any prerequisites.

학점

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평점

3.76

-1.18% 과거 데이터 대비

수료율

94.74%

-4.15% 과거 데이터 대비

A 비율

89.47%

11.52% 과거 데이터 대비

학급 규모

10.47% 과거 데이터 대비

Cumulative Grade Distribution

강사 (2026 Summr)

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유사 과목

DYNAMICAL SYSTEMS

MATH 807

Treats the qualitative behavior of continuous and discrete dynamical systems, including Hamiltonian systems of differential equations. Typical topics include periodic and almost periodic solutions, the fixed point theorem of Poincare and Birkhoff, invariant curves and KAM theory, celestial mechanics, and chaotic behavior.

TECHNIQUES IN ORDINARY DIFFERENTIAL EQUATIONS

MATH 319

Review of linear differential equations; series solution of linear differential equations; boundary value problems; Laplace transforms; possibly numerical methods and two dimensional autonomous systems.

APPLIED DYNAMICAL SYSTEMS, CHAOS AND MODELING

MATH 415

An introduction to nonlinear dynamical systems including stability, bifurcations and chaos. The course will give underlying mathematical ideas, but emphasize applications from many scientific fields.

ORDINARY DIFFERENTIAL EQUATIONS

MATH 519

Provides a rigorous introduction to ordinary differential equations and dynamical systems. Intended for math majors and advanced (or graduate) students in other disciplines.

NONLINEAR SYSTEMS

ECE 817

Modelling nonlinear systems, linearization, equilibria, solution concepts, phase plane analysis, stability concepts, Lyapunov methods, oscillations, vector space methods, control system nonlinearities and design. Selected topics from the following: input-output methods, switching and variable structure systems, feedback linearization, and Lyapunov robustness. Knowledge of linear systems [such asE C E 717] strongly encouraged.