Ordinary differential equations (ODEs), difference equations, and dynamical systems are fundamental concepts in mathematics that describe how quantities change over time. These mathematical tools ...
Nonautonomous differential equations and dynamical systems are mathematical frameworks used to study systems that change over time and are influenced by external factors. Unlike autonomous systems ...
Special attention will be paid to geometric concepts and the role of differential equations in the theory of dynamical systems. Specific topics covered are: First examples; illustrations of use of the ...
higher order linear differential equations, systems of first-order differential equations. Laplace transforms. Numerical methods. Applications to physical systems.
Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...
Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...
Special attention will be paid to geometric concepts and the role of differential equations in the theory of dynamical systems. Specific topics covered are: First examples; illustrations of use of the ...
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