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 ...

homework sets (assigned roughly bi-weekly during the semester). class participation (extra points for helping me to make this class a lively one) projects (written project due at the end of the ...

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 ...

1. Fluid Mechanics II (MECH 361), 3.5 Credits: Differential analysis of fluid flows, vorticity, stream function, stresses, and strains. Navier-Stokes equations and solutions for parallel flows.