Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Integrable systems and differential equations underpin a vast area of contemporary mathematical physics, where the synthesis of analytical techniques and geometric insight yields exact solutions to ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

Description: A first course in ordinary differential equations. First order differential equations, linear and nonlinear systems of differential equations, and second order differential equations. Not ...

Ordinary finite differences -- Divided differences -- Central differences -- Inverse interpolation and the solution of equations -- Computation with series and integrals -- Numerical solution of ...

First‑order differential equations, linear and separable equations, integrating factors, applications. Second‑order linear differential equations. Fundamental solutions, linear independence, Wronskian ...