Robert I. Boughton,
Chair

104 Overman Hall

Lewis P. Fulcher, Graduate Coordinator

167 Overman Hall

Phone: 419-372-2421

The Department of Physics and Astronomy offers programs leading to the degrees of Master of Science, and Master of Arts in Teaching. The curriculum of the programs emphasizes applications as well as a solid foundation for pre-doctoral training. Course work focuses on developing skills in several areas of emphasis: astrophysics, computational physics, theoretical physics and materials physics. All graduate students are involved in research as part of the degree program.

The M.A.T. degree program is designed to prepare students for a physics teaching career or to provide enrichment for practicing teachers.

Applicants should have the equivalent of a bachelor's degree with a major in physics, or a minor in physics and a major in a cognate field from an accredited institution. Applicants should also have taken a minimum of one year of undergraduate chemistry. Applicants with prerequisite deficiencies may be required to take undergraduate course work or satisfactorily complete an examination as a condition of admission.

M.A.T. applicants must have at least one year's teaching experience and hold a valid teaching certificate from the state in which they are teaching.

Applicants seeking admission to the graduate program in Physics and Astronomy are required
to complete application materials by following the procedure outlined in the *Graduate Catalog*.

Candidates must complete 35 semester hours of acceptible graduate course work, of which
21 to 27 hours must be taken in physics. The remaining 8 to 13 semester hours of work
must be completed in professional education, including one course in pedagogy. The student
must submit a *scholarly paper*, which is usually written in conjunction with the
required course in pedagogy. The student must also pass a written *comprehensive examination* on selected topics
in physics.

*Plan I:* Candidates must complete a mimimum of 30 semester hours of 500- and
600-level courses approved for graduate credit including a minimum of 26 hours in physics.
Students are required to take: PHYS 601, PHYS 602, PHYS 603, PHYS 604, PHYS 605 and PHYS 606,
for a total of 18 semester hours. Students must also register for two hours of PHYS 681 per
semester in each of four semesters. In addition to the above 26 hours of core courses in
the major field, candidates must present a formal thesis and pass an oral examination on
the thesis.

*Plan II:* Candidates must complete a minimum of 32 semester hours of 500- and 600-level
courses approved for graduate credit, including two hours in PHYS 691 (Directed Research in Physics),
for a minimum of 28 hours in physics. Students are required to take: PHYS 601, PHYS 602, PHYS 603,
PHYS 604, PHYS 605 and PHYS 606 and PHYS 691, for a total of 20 semester hours. Students
must also register for two hours of PHYS 681 per semester in each of four semesters. As
an important part of the research seminar work, the student must submit a *scholarly paper*
and pass a final written *comprehensive examination* covering selected fields.

**PHYS 601. Techniques in Experimental Physics **(3) I. Laboratory oriented
course in which various experimental techniques and topics of current use
in physics and engineering are treated.

**PHYS 602. Advanced Classical Mechanics **(3) I. Lagrangian and Hamiltonian
dynamics, central force problems, small oscillations, canonical transformations, nonlinear
dynamics and deterministic chaos, logistic maps.

**PHYS 603. Advanced Electrodynamics **(3) II. Elements of electrodynamics
including: electrostatics, magnetostatics, electromagnetism, radiating
systems, and relativity. Prerequisites: PHYS 501, 502, 518 or equivalent
work.

**PHYS 604. Statistical Mechanics **(3) I. Laws of thermodynamics; kinetic
theory; Boltzmann transport equation; Liouville's theorem; fundamental postulates of
classical and quantum statistical mechanics; microcanonical, canonical and grand
canonical ensembles; applications to gases, liquids and solids, Ising model and applications
of computational methods. Prerequisites: PHYS 602 or consent of instructor.

**PHYS 605. Advanced Quantum Mechanics **(3) II. Foundations of quantum
mechanics with applications to current problems in physics. Prerequisite: PHYS 602 or
equivalent.

**PHYS 606. Techniques of Computational Physics **(3) I. Fundamentals of the
application of computers in physics with emphasis on numerical methods; survey of methods
of simulation with in-depth treatment of several computational physics applications; high
level programming and other simulation tools used in treating complex physical systems.

**PHYS 610. Advanced Solid State Physics **(3) III. Quantum theory of solids,
including: treatment of conduction electrons in metals and semiconductors,
electron transport properties, band theory, dielectric, magnetic and
optical properties of solids, and superconductivity. Second quantization
and pseudopotential techniques. Prerequisite: PHYS 510 or permission of
instructor.

**PHYS 650. Physics for In-Service Teachers **(3-5). On demand. Intensive
physics course for secondary or middle school teachers of science who wish
to enhance their physics background. Special attention is paid to the
development of lecture-demonstration and laboratory apparatus and
techniques. Subject matter can vary from year to year. May be repeated.
Not acceptable for credit towards a graduate degree in physics.

**PHYS 681. Seminar in Physics **(2) I, II. Systematic study of selected
topics in physics. Oral presentation is emphasized in the research and instructional
arenas. May be repeated to 8 hours. Graded S/U.

**PHYS 682. Special Topics in Physics **(3) On demand. Seminar on subject in
modern physics representing an important advance in the field or a special
competence of individual staff members. Normal grading. Prerequisite:
permission of instructor.

**PHYS 684. Readings in Physics **(1-3). Individual registration. Special
topics in specific areas of physics suited to needs of individual student.
May be repeated to eight hours. Normal grading. Prerequisite: permission
of instructor.

**PHYS 689. Co-operative Education in Physics **(1-6) On demand. Work and
study in physics in an industrial, commercial or government laboratory
setting in an approved cooperative position. May be repeated to six hours.
Graded S/U.

**PHYS 691. Directed Research in Physics **(1-2) I, II. Supervised
independent research on a particular topic. Suitable for work toward paper
for M.S. Plan II or M.A.T. degrees, but open to others interested in
physics research. Prerequisite: one hour of PHYS 606.

**PHYS 694. Workshop in Physics **(1-4) On demand. Topics and issues within
the discipline; topics vary from term to term.

**PHYS 695. Workshop on Current Topics in Physics **(1-4) I, II, III On
demand. Topics and issues within the discipline; topics vary from term to
term.

**PHYS 699. Thesis Research **(1-12). Credit for thesis study. Enrollment in
excess of nine hours is acceptable for Plan I M.S. degree, but no more than
six hours may be credited toward degree. Minimum acceptable toward degree
is two hours. Graded S/U.

**PHYS 501. Methods of Mathematical and Computational Physics I **(4) I.
Survey of basic methods of mathematical techniques applied to physics,
including linear algebra, ordinary differential equations, and vector
calculus with emphasis on how these concepts are used in physics. Parallel
development is given to numerical methods used to solve physical problems.
Use of an appropriate scientific programming language is included. Four
lecture-recitations. Prerequisites: PHYS 212; or PHYS 202 and MATH 232.

**PHYS 502. Methods of Mathematical and Computational Physics II **(3) II
(Alternate years). Survey of basic mathematical and computational
techniques for solving partial differential equations, including the wave
equation, Poisson's equation, and the heat transfer equation. Introduction
to Fourier analysis with applications and the Fast Fourier Transform
algorithms and their implementation. A rudimentary treatment of special
functions, as they arise in solving physical problems, will be given.
Prerequisite: PHYS 501 or permission of instructor.

**PHYS 503. Stellar Structure and Evolution **(3) I (Alternate years). Basic
data, stellar interiors, theoretical models. Advanced evolutionary states;
red giants, white dwarfs, neutron stars, supernovas and black holes.
Prerequisites: PHYS 301 or equivalent, and permission of instructor. Not
open to students with credit for ASTR 403.

**PHYS 510. Solid State Physics **(3) II (Alternate years). Continuum and
atomic theories of solids, lattice vibrations, specific heat of solids,
electron theory of metals and semiconductors. Superconductivity.
Prerequisite: PHYS 307 or equivalent.

**PHYS 511. Physics of Materials **(3) II (Alternate years). Structure and
physical properties of ceramics, composites, polymers, metallurgically
important alloys and amorphous systems. Theory of physical properties of
these substances: specific heat, conduction, diffusion. Prerequisite:
PHYS 307 or equivalent.

**PHYS 517. Quantum Mechanics **(3) II. Duality of matter and radiation,
state functions and interpretation, Heisenberg uncertainty principle, wave
equations and principles of wave mechanics, elementary applications of
Schroedinger's equation, operator methods and approximation techniques.
Prerequisite: PHYS 501 or equivalent.

**PHYS 518. Electricity and Magnetism I **(3) I . Electric and magnetic
fields; Maxwell's theory of electromagnetic field with applications in
propagation, absorption, reflection, transmission of radiation.
Prerequisite: PHYS 501 or equivalent.

**PHYS 519. Electricity and Magnetism I I **(3) II (Alternate years). PHYS
518 continued with applications to guided waves and physical optics.
Relativity.

Prerequisite: PHYS 518 or equivalent.

**PHYS 528. Microcomputer Interfacing **(3) I. Medium and large scale
integrated circuits such as peripheral interface adapters. UARTS, A/D
converters are used to interface a microcomputer to the external world of
the laboratory. One class period and two three-hour laboratories.
Prerequisite: permission of instructor.

**PHYS 529. Selected Topics in Microelectronics **(1-3) On demand. An
individual, in-depth study of a microelectronics project. Designed to
integrate the introductory knowledge gained in PHYS 528 into a complete
microelectronics system. Arranged. Prerequisite: PHYS 528 or equivalent.

**PHYS 533. Philosophy and Physics of Space and Time **(3) II. Physical
theories of space and time from philosophical, scientific and historical
points of view. Topics include Zeno's paradoxes, Green's concepts of space
and time, classical Newtonian world view, general ideas of modern theory of
relativity and cosmology. Cross listed in PHIL.

Robert I. Boughton,

Chair, Dept. of Physics and Astronomy

Director, Center for Materials Science

Bowling Green State University, Bowling Green, OH 43403

**(419)372-2421::FAX (419)372-9938**

e-mail: boughton@bgnet.bgsu.edu