Introduces the basics of ordinary differential equations, exploring global solutions, uniqueness, higher dimensions, Lipschitz functions, and finding solutions.
Provides an overview of differential equations, their properties, and methods for finding solutions through various examples and graphical representations.
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
