300

In-depth study of the motion of rigid bodies. Three-dimensional translational and rotational motion. Oscillations. Lagrange equations. Inertial and non-inertial frames. Prerequisite: PHY-222 (or PHY212 and permission of instructor) and MAT-254.

Thermal equilibrium, thermodynamic equations of states. Thermodynamic potentials. Irreversibility. Phase transitions. Kinetic theory of gases. Introduction to classical quantum statistical mechanics. Prerequisite: PHY-222 (or PHY-212 and permission of instructor) and MAT-254.

This course provides a mathematical foundation for solving problems in analytical mechanics, electromagnetism, heat and thermodynamics, quantum mechanics and advanced modern physics with a focus on the differential equations (especially Laplace and Poisson partial differential equations) that occur in theoretical physics. Core topics include series, complex numbers, linear algebra, Fourier series, calculus of variations, special functions (Legendre polynomials, Bessel functions, and Hermite polynomials) and integral transforms. The course will apply linear algebra to function spaces with physical interpretations of basis eigenfunctions, eigenvalues, normalization and orthogonality. Additional topics may include vector analysis, complex analysis and probability. Prerequisite: MAT-353.

Electrostatic fields in vacuum. Gauss's law. Solution of electrostatic boundary-value problems. Electrostatic fields in material media. Electric currents. Electromagnetic waves. Maxwell's equations. Special relativity. Prerequisite: PHY-222 (or PHY-212 and permission of instructor)and MAT-254.

Topics include geometrical and physical optics, interference, diffraction, lasers, fiber-optics, electromagnetic wave theory, and optical instruments. Prerequisite: PHY-222 (or PHY-212 and permission of instructor).

Topics include wave-particle duality, wave functions, operators and observables, matrix representation, and three-dimensional Schroedinger's equation. Prerequisite: PHY-222 (or PHY-212 and permission on instructor) and MAT-254.

Introduction to the use, detection, and disposal of radioisotopes in medicine and biological research. Biological effects of radiation, including from nuclear weapons. Introduction to different imaging techniques in medicine, such as X-ray and MRI. Applications of lasers in medicine.

Theory of measurements, detectors, interfaces, error and accuracy analysis, data acquisition, and processing. Laboratory application of a design of an experiment and experimental apparatus and measurements of physical quantities. Prerequisite: PHY-222 (or PHY-212 and permission of instructor).