Symmetry, generators, and why anything is conserved at all

Does Monte Carlo sampling of three-body phase space reproduce the shape of the measured neutron beta spectrum, and where does its endpoint sit? Useful evidence includes sampled electron energies with the Fermi Coulomb function applied, the histogram against tabulated spectra, a Kurie plot linear to a fitted endpoint near 782 keV, and the constant-matrix-element assumption named as the reason the Kurie plot is linear by construction.

This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus. It is written for a four-credit course of roughly three lecture hours plus two to three laboratory or computational hours a week across fifteen weeks, and it is deliberately more mathematical than University Physics I–IV: linear algebra and differential equations are working tools here, not background. Twenty units are mapped against a suggested fifteen-week delivery, so several units share a teaching week. Departments differ widely in how much formalism they expect at this stage; follow your institution's published scope, notation, laboratory programme, and assessment rules. A result should be checked against units, signs, limiting cases, and the conditions under which its model was derived.