Translation Groups on [0,1]Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.
Advanced Physics I: Orders of MagnitudeExplores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.
Gyroscopic MotionCovers rolling kinematics, kinetic energy, and gyroscopic motion in detail.
Properties of Real NumbersExplains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
Rolling without slippingExplores angular momentum, kinetic energy, and dynamics of rotating solid objects, focusing on rolling without slipping.
Quantum Effective ActionExplores the quantum effective action, its role in perturbation theory, and the organization of correlators in momentum space.
Quantum Physics IExplores the position representation and momentum operators in quantum physics.