Physics Major, Mathematical Physics OptionPage 1
Physics Core
A physics major must satisfactorily complete the following courses: Physics 51, 52, 54, 64, 111, 116, 133, 134, 151, 195 (taken four times), and Mathematics 82. In addition, a physics major must satisfactorily complete the courses in the standard program or in one of the Physics options. A final oral and written report of completed research, Clinic, or independent project work is required for all physics majors. The Physics 195 Colloquium requirement is waived for any semester during which a student is away on a study abroad program.

MATH082 HM Differential Equations
Credits: 3
Instructor: Staff
Offered: Fall
Description: Modeling physical systems, firstorder ordinary differential equations, existence, uniqueness, and longterm behavior of solutions; bifurcations; approximate solutions; secondorder ordinary differential equations and their properties, applications; firstorder systems of ordinary differential equations. Applications to linear systems of ordinary differential equations, matrix exponential; nonlinear systems of differential equations; equilibrium points and their stability. Additional topics.
Prerequisites: (MATH019 HM and MATH073 HM) or equivalent

PHYS051 HM Electromagnetic Theory and Optics
Credits: 3
Instructors: Breznay, Gerbode, Tamayo
Offered: Fall
Description: An introduction to electricity and magnetism leading to Maxwell’s electromagnetic equations in differential and integral form. Selected topics in classical and quantum optics.
Prerequisites: PHYS023 HM and PHYS024 HM
Corequisites: MATH082 HM or MATH056 HM

PHYS052 HM Quantum Physics
Credits: 3
Instructor: Staff
Offered: Spring
Description: The development and formulation of quantum mechanics, and the application of quantum mechanics to topics in atomic, solid state, nuclear, and particle physics.
Prerequisites: PHYS051 HM and MATH082 HM

PHYS054 HM Modern Physics Laboratory
Credit: 1
Instructors: Eckert, Staff
Offered: Spring
Description: Classical experiments of modern physics, including thermal radiation and Rutherford scattering. Nuclear physics experiments, including alpha, beta and gamma absorption, and gamma spectra by pulse height analysis. Analysis of the buildup and decay of radioactive nuclei.
Corequisites: PHYS050 HM and PHYS052 HM

PHYS064 HM Mathematical and Computational Methods for Physicists
Credits: 3
Instructor: Staff
Offered: Spring
Description: This course combines mathematical and computational methods that are useful for studying physical systems. Topics include: Linear algebra, Hilbert spaces, the eigenvalue problem and numerical algorithms for solving problems in linear algebra, including various modes of decomposition; Fourier series and transforms, convolution, correlation and numerical methods using fast Fourier transforms; computer simulation methods based on integrating coupled differential equations and also using pseudorandom numbers, including Monte Carlo methods; partial differential equations, separation of variables, Laplace and Poisson equations in various dimensions, the wave equation, and numerical approaches to solution.
Prerequisites: (CSCI005 HM or CSCI042 HM) and MATH082 HM

PHYS111 HM Theoretical Mechanics
Credits: 3
Instructor: Tamayo
Offered: Fall
Description: The application of mathematical methods to the study of particles and of systems of particles; Newton, Lagrange, and Hamilton equations of motion; conservation theorems; central force motion, collisions, damped oscillators, rigid body dynamics, systems with constraints, variational methods.
Prerequisites: PHYS023 HM, PHYS024 HM, and (MATH082 HM or PHYS064 HM)

PHYS116 HM Quantum Mechanics
Credits: 3
Instructor: Gerbode
Offered: Spring
Description: The elements of nonrelativistic quantum mechanics. Topics include the general formalism, onedimensional and threedimensional problems, angular momentum states, perturbation theory and identical particles. Applications to atomic and nuclear systems.
Prerequisites: PHYS052 HM

PHYS133 HM Electronics Laboratory
Credit: 1
Instructors: Gallicchio, Staff
Offered: Fall
Description: An intermediate laboratory in electronics involving the construction and analysis of rectifiers, filters, transistor and operational amplifier circuits.
Prerequisites: PHYS054 HM

PHYS134 HM Optics Laboratory
Credits: 2
Instructor: Staff
Offered: Spring
Description: A laboratorylecture course on the techniques and theory of classical and modern optics. Topics of study include diffraction, interferometry, Fourier transform spectroscopy, grating spectroscopy, lasers, quantum mechanics and quantum optics, coherence of waves and leastsquares fitting of data.
Prerequisites: PHYS051 HM and PHYS054 HM

PHYS151 HM Electromagnetic Fields
Credits: 3
Instructor: Sahakian
Offered: Fall
Description: The theory of static and dynamic electromagnetic fields. Topics include multipole fields, Laplace’s equation, the propagation of electromagnetic waves, radiation phenomena and the interaction of the electromagnetic field with matter.
Prerequisites: PHYS051 HM and (PHYS111 HM or PHYS116 HM) and (MATH180 HM or PHYS064 HM)

PHYS195 HM Physics Colloquium (taken four times)
Credit: 0.5
Instructor: Staff
Offered: Fall and spring
Description: Oral presentations and discussions of selected topics, including recent developments. Participants include physics majors, faculty members, and visiting speakers. Required for all junior and senior physics majors. No more than 2.0 credits can be earned for departmental seminars/colloquia.
Mathematical Physics Option
Note: Physics 170 can be substituted for Physics 133 in this option provided Physics 170 is not used to meet the physics halfcourse requirement.
 One physics halfcourse
AND

PHYS117 HM Statistical Mechanics and Thermodynamics
Credits: 3
Instructors: Esin, Saeta
Description: Classical and quantum statistical mechanics, including their connection with thermodynamics. Kinetic theory of gases. Applications of these concepts to various physical systems.
Prerequisites: PHYS052 HM
OR

PHYS154 HM Fields and Waves
Credits: 3
Instructor: Ilton
Offered: Spring
Description: The theory of deformable media. Field equations for elastic and fluid media and for conducting fluids in electromagnetic fields. Particular emphasis on body and surface wave solutions of the field equations.
Prerequisites: MATH180 HM or PHYS064 HM
OR

PHYS156 HM Foundations of Field Theory
Credits: 3
Instructor: Sahakian
Offered: Spring
Description: This course explores concepts, methods, and applications of the classical theory of fields. On the physics side, we will learn about cosmological inflation, superconductivity, electroweak theory, solitons, the nuclear force, and magnetic monopoles. On the mathematics side, we will learn the basics of differential geometry and Lie algebras. Throughout the course, we will emphasize the unity of physical principles and techniques across a wide range of systems and disciplines.
Prerequisites: PHYS111 HM and (MATH180 HM or PHYS064 HM)
AND
4 to 6 credits of:

PHYS199 HM Senior Thesis in Physics (taken twice)
Credits: 13
Instructor: Staff
Offered: Fall and spring
Description: Original experimental or theoretical investigations in physics undertaken in consultation with a faculty member. Projects may be initiated by the student or by a faculty member. Present faculty research areas include astrophysics, biophysics, optics, solidstate and lowtemperature physics, general relativity, quantum mechanics, particle physics, geophysics, and soft matter physics. Students are responsible for an oral presentation on progress and plans in the first half of the thesis research.
Prerequisites: Permission of department. Senior standing.
OR
6 credits of:

MATH197 HM Senior Thesis in Mathematics (taken twice)
Credits: 3
Instructor: Staff
Offered: Fall and spring
Description: Senior thesis offers the student, guided by the faculty advisor, a chance to experience a taste of the life of a professional research mathematician. The work is largely independent with guidance from the research advisor. The principal objective of the senior thesis program is to help you develop intellectually and improve your written and verbal communication skills. Students are expected to present their work orally and to produce a thesis conforming to the publication standards of a professional mathematician.
Prerequisites: Senior standing as a mathematics major and permission from the Mathematics Senior Thesis Coordinator.
OR
 An approved Clinic
AND
Two additional courses to be chosen from

PHYS117 HM Statistical Mechanics and Thermodynamics
Credits: 3
Instructors: Esin, Saeta
Description: Classical and quantum statistical mechanics, including their connection with thermodynamics. Kinetic theory of gases. Applications of these concepts to various physical systems.
Prerequisites: PHYS052 HM

PHYS154 HM Fields and Waves
Credits: 3
Instructor: Ilton
Offered: Spring
Description: The theory of deformable media. Field equations for elastic and fluid media and for conducting fluids in electromagnetic fields. Particular emphasis on body and surface wave solutions of the field equations.
Prerequisites: MATH180 HM or PHYS064 HM

PHYS156 HM Foundations of Field Theory
Credits: 3
Instructor: Sahakian
Offered: Spring
Description: This course explores concepts, methods, and applications of the classical theory of fields. On the physics side, we will learn about cosmological inflation, superconductivity, electroweak theory, solitons, the nuclear force, and magnetic monopoles. On the mathematics side, we will learn the basics of differential geometry and Lie algebras. Throughout the course, we will emphasize the unity of physical principles and techniques across a wide range of systems and disciplines.
Prerequisites: PHYS111 HM and (MATH180 HM or PHYS064 HM)
 3credit mathematics courses numbered 100 or higher that are not included in the physics major requirements