Relations and SequencesCovers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.
Equivalence ClassesIntroduces equivalence classes for decomposing a set into subsets of equivalent elements, defining the quotient set X/~.
Symmetry: Noether TheoremExplores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Global Conservation LawsExplores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Relations in Computer ScienceExplores the properties of relations in computer science, including equivalence relations and the partition of a set.
Advanced Physics ICovers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.