Mechanics: Oscillator HarmonicsExplores harmonic oscillators' behavior under various damping conditions, covering Newton's laws, complex numbers, and Euler's formula.
Optimization MethodsCovers optimization methods without constraints, including gradient and line search in the quadratic case.
Forced Harmonic OscillatorExplores forced harmonic oscillators, resonance, initial conditions, and collision conservation principles.
Looping in MechanicsDiscusses the mechanics of a point mass on a looping ramp and the conservation of mechanical energy.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
