# Physics

Paul Miceli, Chair

College of Arts and Science

223 Physics Building

(573) 882-3335

Fax: (573) 882-4195

https://physics.missouri.edu/

Physics is the science that studies the structure and properties of matter and transformations of energy. With math as the language and experimental verification as a guide, physical study has established the fundamental laws of nature that are the foundation of all natural science and technology. The study of physics includes learning the general principles and the phenomena that have been discovered and developing the skills that enable such knowledge to be advanced through research.

The Department of Physics and Astronomy offers a major in physics with either a Bachelor of Arts or a Bachelor of Science Degree. The BA degree provides a broad coverage of classical and modern physics while permitting a broader liberal arts education. It is normally selected by students who do not envision a professional career in physics, but plan to enter a professional school later in their academic career, e.g. medicine, dentistry or law, or who desire to pursue a teaching certificate. The BS degree in Physics is designed to prepare students for scientific careers immediately upon graduation, for further training in graduate school, or for teaching high school physics. A minor in physics or astronomy is also available.

Physics education plays a pivotal role in such areas of burgeoning and societal importance as biomedical optical imaging/biomedicine, materials science, and homeland security. Therefore, the Department of Physics has introduced several new courses and electives to train undergraduate students in optical sciences, biological physics, materials sciences and nanotechnology.

**Professor** S. J. Chen**, S. Gangopadhyay**, S. Guha**, K. Katti**, G. King**, S. M. Kopekin**, I. Kosztin**, A. Li**, P. Miceli**, S. Satpathy**, D. Singh**, C. Ullrich**, G. Vignale**, C. Wexler**, P. Yu**, X. Zou**

**Associate Professor** W. T. Montfrooij**, D. Singh**, H. Yan**

**Assistant Professor** G. Bian**, Y. Guo**, M. Mills**

**Teaching Professor** D. Kosztin*

**Associate Teaching Professor** Y. Zhang***,** S. Bompadre*

**Adjunct Professor** Z. Afraslabi, C. Arendse, S. Balasubramanian, J. Belk, J. Burress, R. V. Duncan, L. F. Gomez, A. Helfer, H. Kaiser, B. Kuchta, L. Ma, Z. S. Popovic

**Adjunct Associate Professor** X. Fan, J. Farmer**

**Professor Emeritus** H. R. Chandrasekhar, M. Chandrasekhar, D. L. Cowan, G. Forgacs, Linda Godwin, B. Loftin, B. Mashhoon, P. Plummer, P. Pfeifer, J. J. Rhyne, A. Speck, H. Taub, C. W. Tompson, S. A. Werner, H. W. White, J. E. Willett

**Associate Professor Emeritus** C. J. Peterson

* | Graduate Faculty Member - membership is required to teach graduate-level courses, chair master's thesis committees, and serve on doctoral examination and dissertation committees. |

** | Doctoral Faculty Member - membership is required to chair doctoral examination or dissertation committees. Graduate faculty membership is a prerequisite for Doctoral faculty membership. |

The Department of Physics & Astronomy also offer a Minor in Astronomy and a Certificate in Computational Physics.

Candidates for both degrees must complete 120 credits with an average grade of C or better. For the BA in physics degree, students must complete 30 credits in physics and 19 credits in math and chemistry. For the BS in physics degree, students must complete 45 credits in physics and 25 credits in math and chemistry. Students pursuing a Bachelor of Science in Secondary Education, emphasis in Physics, have the option of receiving a BS in physics degree by completing 33 credits in physics and 19 hours in math and chemistry. In addition, students must meet all degree, college, and university requirements including University general education. All students who complete the BS degree in Physics automatically also complete a minor in Mathematics.

## Departmental Honors

The departmental honors program in physics provides exceptional students with an opportunity to develop skills beyond the normal course work. It also acknowledges those students who have attained a level of achievement beyond what is normally expected of an undergraduate physics major.

To receive an honors degree with a major in physics, a student must meet the following criteria:

- Satisfy the BA or BS degree requirements
- Cumulative GPA of at least 3.30 and minimum GPA of 3.50 in Physics Department courses
- Complete a six credit hours research sequence, by signing up for PHYSCS 4950/ASTRON 4950 Undergraduate Research in Physics/Astronomy in the first (second) semester junior year and for PHYSCS 4950/ASTRON 4960 Senior Thesis (or PHYSCS 4950/ASTRON 4950 again) in the first (second) semester senior year. In PHYSCS 4950 /ASTRON 4950 students will work on a research project, either by doing research in a lab or by doing reading research and completing specific readings under the supervision of a faculty advisor.
- Present the results of the research project in a poster or in a paper prepared in the form of a scientific journal article at a regional or national meeting, to a faculty panel that will consist of no fewer than three Physics Department faculty members, or in a physics seminar.

In order to receive departmental honors recognition, the student must be recommended by the director of undergraduate studies. Upon recommendation, the Office of the University Registrar will be notified that the candidate has earned departmental honors recognition. This acknowledgement will appear on the student’s diploma as well as on the transcript.

## Elective Tracks

Students have available a variety of courses from which they may select the required credits of physics electives for the BS or BA degree. The department offers tracks that allow students to specialize in astronomy, biological physics, condensed matter physics, computational physics, energy storage, materials science, nanomaterials, or optoelectronics. Students may wish to pursue one of these tracks, or follow a general track in which they can choose any of the courses that are listed and are not required courses.

Note: Tracks are not indicated on the diploma.

## Foreign Language Alternative (BS)

Students who elect an undergraduate program leading to the BS degree with a major in Physics have an option regarding the College of Arts and Science foreign language requirement. This requirement of 12 or 13 credits (depending on the language studied) may be satisfied alternatively by the substitution of an approved specialization. This consists of a minimum of 12 credits at the 2000/3000 level or above and may not include courses normally required of all physics majors. It is to be selected from an area with special relevance to physics and to the student’s own interests and future plans.

Students have selected options in aerospace engineering, atmospheric science/geophysical fluid dynamics, radiation biology, chemistry, computer science, electrical engineering (circuits or computer hardware option), geology, nuclear engineering, material science, math and other areas. The choice and planning of an option must be done under the direction of the departmental undergraduate advisor.

## Dual Degrees and Double Majors

Students may wish to pursue two baccalaureate dual degrees simultaneously. For example, this might include a BS in Physics and a BS in Engineering, which is the most common choice. In order to receive two baccalaureate degrees, a student must complete a minimum of 132 credits and complete all the specified requirements for both degrees.

Another degree option is a single baccalaureate degree with two majors (double majors), which may be developed with the concurrence of appropriate advisors in the two departments. A notation of the successful completion of the two areas appears on the student’s transcript. Both departments must be in the College of Arts and Sciences. Double major options often chosen by a physics major are chemistry, mathematics or geology. Mathematics is a particularly viable double major because the extensive mathematics component normally required in the BS degree with a major in physics, if coupled with a specialization area chosen from mathematics, nearly completes the BS degree with a major in mathematics.

Careful planning, started early in the academic career, is required to meet the conditions of dual majors or dual degrees. Students who complete such programs obtain the maximum from their undergraduate experience.

Department of Physics & Astronomy

223 Physics Building

(573) 882-3335

https://physics.missouri.edu/graduate-program

**Director of Graduate Studies:**

Prof. Suchi Guha

422 Physics Building

(5

## About Physics

At the University of Missouri, the physics degrees are offered by the Department of Physics and Astronomy. Because the Department has a moderate size, graduate students are better able to maintain a close relationship with the faculty. Our facilities include various laboratories within the Physics Building as well as the Research Reactor. In certain cases, a student’s work may be carried out at National Laboratories or in collaboration with other science and engineering departments.

The largest research area is in experimental and theoretical condensed-matter physics. Other research programs in which thesis work may be accomplished are biological physics and astronomy/astrophysics. Graduates have been very successful in continuing their careers in industry, national laboratories and academics.

## Research Resources

The Department of Physics and Astronomy offers many opportunities for scientific research in internationally recognized programs. The main focus of research is in the areas of theoretical and experimental condensed matter physics, biological physics, astrophysics, and alternative energy. These research efforts are fostered by the existence of the University of Missouri Research Reactor (MURR), a 10 MW light-water moderated reactor that is the highest-power university research reactor in the country. Furthermore, many research activities involve facilities at National Laboratories such as Argonne, Oak Ridge, and NIST.

## Financial Aid from the Program

The department of Physics and Astronomy is committed to the success of its incoming graduate students and several financial aid packages are available to give maximum support to students so that they can pursue their academic work free from financial problems. Incoming students are usually assigned as teaching assistants (TA), and in some special cases as research assistant (RA).

## More Details

For more details on the graduate program please consult the departmental web site: https://physics.missouri.edu/graduate-program

**PHYSCS 1007: Topics in Physics and Astronomy - Physical Science**

Study of selected topics in physics and astronomy. Subjects and earnable credit may vary from semester to semester.**Credit Hour**: 1-3

**PHYSCS 1050: Concepts in Cosmology**

This course explores the development of our understanding of the origin and evolution of the Universe. We will embark on a qualitative description of the Big Bang theory, the expansion of the universe and its current structure, the cosmic microwave background radiation, the existence of dark matter and dark energy and their implications for the Universe's ultimate fate.**Credit Hour****s**: 3

**PHYSCS 1100: Science and Inventions**

This course covers the history of some of the most important inventions in science and their impact on past civilizations, current advances in science and inventions, funding and policies, and critical advances in technology required for future generations.**Credit Hour**: 1

**PHYSCS 1150: Concepts in Physics**

Introduction to fundamental concepts of physics for non-science majors. Concepts include the conservation of energy, the second law of thermodynamics, and the special theory of relativity. Students learn to reason and apply these concepts through writing assignments.**Credit Hour****s**: 3

**PHYSCS 1200: Everyday Wonders: Explaining How Ordinary Things Work**

How does an airplane fly? How does a steel boat float? How does your phone know when you are swiping the screen? Many things that seem wondrous can be explained using basic principles of physics. In this course students develop concepts in simple machines, fluids, waves, optics, and electricity as they explore real-world applications using simulations and hands-on experiments.**Credit Hour****s**: 4

**PHYSCS 1210: College Physics I**

This introductory college physics course uses algebra and trigonometry in developing some of the fundamental concepts of classical physics. Topics covered are vectors, kinematics, dynamics, gravity, momentum, energy, rotational kinematics, rotational dynamics, fluids, simple harmonic motion, waves and sound, and thermodynamics. Three lectures, one discussion, one lab weekly. Students may receive credit for PHYSCS 1210 or PHYSCS 2750, but not both.**Credit Hour****s**: 4**Prerequisites: **MATH 1100

**PHYSCS 1220: College Physics II**

This introductory second semester college physics course uses algebra and trigonometry in developing some of the fundamental concepts of classical physics.Topics covered include electricity and magnetism, optics and modern physics. Three lectures, one discussion, one lab weekly. Students may receive credit for PHYSCS 1220 or PHYSCS 2760, but not both.**Credit Hour****s**: 4**Prerequisites: **grade of C- or better in PHYSCS 1210

**PHYSCS 2002: Topics in Physics and Astronomy- Biological Science**

Study of selected topics in physics and astronomy. Subjects and earnable credit may vary from semester to semester. Course may be repeated for credit.**Credit Hour**: 1-3**Prerequisites: **MATH 1100

**PHYSCS 2002H: Topics in Physics and Astronomy- Biological Science - Honors**

Study of selected topics in physics and astronomy. Subjects and earnable credit may vary from semester to semester. Course may be repeated for credit.**Credit Hour**: 1-3**Prerequisites: **MATH 1100; Honors eligibility required

**PHYSCS 2007: Topics in Physics and Astronomy- Physical Science**

Study of selected topics in physics and astronomy. Subjects and earnable credit may vary from semester to semester. Course may be repeated for credit.**Credit Hour**: 1-3**Prerequisites: **MATH 1100

**PHYSCS 2007H: Topics in Physics and Astronomy- Physical Science - Honors**

Study of selected topics in physics and astronomy. Subjects and earnable credit may vary from semester to semester. Course may be repeated for credit.**Credit Hour**: 1-3**Prerequisites: **MATH 1100; Honors eligibility required

**PHYSCS 2010: Undergraduate Seminar in Physics**

Introduction to the Physics Department and presentation of topics of current interest in physics by faculty and students. Intended for physics majors at the freshman or sophomore level only.**Credit Hour**: 1**Recommended: **for physics majors

**PHYSCS 2200: Life and the Universe**

This course explores the connection between our everyday existence and the underlying physics' processes. Students will look at processes - essential to life - ranging from the very small (atomic level) to the very large (universe), and the many length scales in between (cellular level and human being level) as will as make connections between the laws of physics and the numbers that go into them and the prerequisites for the existence of life.**Credit Hour****s**: 3

**PHYSCS 2330: Exploring the Principles of Physics**

A hands-on course covering topics in Electricity, Magnetism, Forces, Motion and Energy. Pedagogy reflects styles used in K-12 classrooms; emphasis on inquiry, concept development, quantitative applications and technology. Enrollment limited to Elementary and Early Childhood Education majors who have completed MATH 1100 or higher.**Credit Hour****s**: 4**Prerequisites: **instructor's consent required

**PHYSCS 2500: The Beautiful Invisible: Exploring Physics, Fiction, and Reality**

This course explores the conceptual structure of modern physics from a humanistic perspective. Rather than describing the natural world "as it is", physical science weaves some key observations in a convincing and memorable narrative. It is not within its power to explain reality, but it can make it understandable, sometimes even predictable. Due to the presence of internal and external constraints, physical theories are akin to myths, i.e., fiction created by many authors over an extended period of time. The mythical character of a theory does not diminish its scientific validity - quite the contrary. Convincing myths are not easily found and better observations demand better myths. The mythical content of the theory is not some extraneous content that we introduce for the sake of popularization, but an essential part of the science itself.**Credit Hour****s**: 3

**PHYSCS 2750: University Physics I**

First course in calculus-based physics for science and engineering students. Topics covered are vectors, translational and rotational kinematics, translational and rotational dynamics, energy, momentum, gravity, oscillations, waves, fluids and thermodynamics. Three lectures, one discussion, one lab weekly. Students may receive credit for PHYSCS 1210 or PHYSCS 2750, but not both.**Credit Hour****s**: 5**Prerequisites: **MATH 1500 or equivalent**Recommended: **MATH 1700

**PHYSCS 2750H: University Physics I - Honors**

First course in calculus-based physics for science and engineering students. Topics covered are vectors, translational and rotational kinematics, translational and rotational dynamics, energy, momentum, gravity, oscillations, waves, fluids and thermodynamics. Three lectures, one discussion, one lab weekly. Students may receive credit for PHYSCS 1210 or PHYSCS 2750, but not both. Graded on A-F basis only.**Credit Hour****s**: 5**Prerequisites: **MATH 1500 or equivalent. Honors eligibility required**Recommended: **MATH 1700

**PHYSCS 2760: University Physics II**

Second semester course in calculus-based physics for science and engineering students. Topics covered are electrostatics, circuits, magnetism, electromagnetic phenomena, optics, matter waves and particles and modern physics. Three lectures, one discussion, one lab weekly. Students may receive credit for PHYSCS 1220 or PHYSCS 2760, but not both.**Credit Hour****s**: 5**Prerequisites: **MATH 1700 and grade of C- or better in PHYSCS 2750**Recommended: **MATH 2300

**PHYSCS 2760H: University Physics II - Honors**

Second semester course in calculus-based physics for science and engineering students. Topics covered are electrostatics, circuits, magnetism, electromagnetic phenomena, optics, electromagnetic waves and relativity. Three lectures, one discussion, one lab weekly. Graded on A-F basis only.**Credit Hour****s**: 5**Prerequisites: **MATH 1700 and grade of C- or better in PHYSCS 2750. Honors Eligibility required**Recommended: **MATH 2300

**PHYSCS 3002: Topics in Physics and Astronomy - Biological Science**

Study of selected topics in physics and astronomy. Subjects and earnable credit may vary from semester to semester. May be repeated 3 times for credit.**Credit Hour**: 1-3**Prerequisites: **PHYSCS 1210 or PHYSCS 2750

**PHYSCS 3007: Topics in Physics and Astronomy -Physical Science**

Study of selected topics in physics and astronomy. Subjects and earnable credit may vary from semester to semester. May be repeated 3 times for credit.**Credit Hour**: 1-3**Prerequisites: **PHYSCS 1210 or PHYSCS 2750

**PHYSCS 3010: Introduction to Modern Astrophysics**

(same as ASTRON 3010). Elements of stellar, and galactic astrophysics. Interpretation of observations and physical conditions of various astronomical objects including stars, gaseous nubulea and, galaxies.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 3100: Teaching Physics**

Introduces modeling and inquiry methods of teaching about force, motion, energy, electricity and magnetism. Students learn research-base physics teaching methods, including eliciting prior understanding, facilitating conceptual change, and active learning strategies.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 1220 or PHYSCS 2760

**PHYSCS 3150: Introduction to Modern Physics**

Relativistic kinematics and Lorentz transformations; historical basis for quantum mechanics; atomic structure; physics of solids; nuclear structure and decay.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 3150W: Introduction to Modern Physics - Writing Intensive**

Relativistic kinematics and Lorentz transformations; historical basis for quantum mechanics; atomic structure; physics of solids; nuclear structure and decay.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 3200: Physics of Space Explorations**

The course provides an overview of the solar system, spaceflight history, a review of Newtonian physics and law of universal gravitation, the application of these laws to spacecraft launch, entry, and orbit, planetary trajectories, and other special topics. Three focused case studies of actual space missions are addressed. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **MATH 1100

**PHYSCS 3500: Physics of Energy in Technology**

Physics principles as they relate to energy technology, how physics principles enable applications and provide constraints. Introduction to aspects of materials performance, thermodynamics, semiconductor physics and nuclear physics. These are in the context of energy production, power plants, engines, nuclear energy, hydroelectric, solar and wind. Students gain appreciation of physics principles and their roles in technology of importance for society. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2750

**PHYSCS 3700: Introduction to Methods in Mathematical Physics**

The course discusses the application of mathematical techniques that students need for upper-level physics courses. Topics include: applications of complex variables, second-order linear differential equations with applications to AC circuits, matrices/linear algebra, calculus of variations, Fourier transforms and vector analysis.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760 and MATH 2300

**PHYSCS 4020: Astrophysical Techniques**

(same as ASTRON 4020; cross-leveled with PHYSCS 7020). Elements of modern astronomical instruments, observations and analysis, with the emphasis in the optical regime. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4050: Electronic Laboratory**

(cross-leveled with PHYSCS 7050). Acquaints students with the foundations and techniques of electronics design, with emphasis on data acquisition and processing. Topics: circuits with discrete and integrated circuits, active and passive filters, amplifiers, power supplies, instrumentation and interfacing. Integrated lectures and labs. Graded on A-F basis only.**Credit Hour****s**: 4**Prerequisites: **PHYSCS 2760

**PHYSCS 4060: Advanced Physics Laboratory I**

This upper-level undergraduate laboratory course familiarizes students with the methods and procedures of experimental physics at an advanced level. The course covers principles of magnetism, graphic programming and interface techniques, weak-signal detection, and some modern physics discoveries such as, magneto-optical Kerr effect, digital holography and gamma-ray spectroscopy. Students work on research projects in the areas of condensed matter physics, materials science, modern spectroscopy, superconductivity, and quantum physics.**Credit Hour****s**: 4**Prerequisites: **PHYSCS 3150**Recommended: **physics/engineering majors

**PHYSCS 4080: Major Themes in Classical Physics**

Introduction to classical physics: mechanics, electromagnetism and thermodynamics, emphasizing the unity and the connections between different parts of it.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4080W: Major Themes in Classical Physics - Writing Intensive**

Introduction to classical physics: mechanics, electromagnetism and thermodynamics, emphasizing the unity and the connections between different parts of it.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4100: Electricity and Magnetism I**

Mathematical preliminaries, properties of charge distributions at rest and in motion, the field concept, introduces electromagnetic radiation.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4102: Topics on Physics and Astronomy-Biological/Physical/Mathematics**

Organized study of selected topics. Subjects and earnable credit may vary from semester to semester. Departmental consent for repetition.**Credit Hour**: 1-3**Prerequisites: **PHYSCS 2760 or instructor's consent

**PHYSCS 4110: Light and Modern Optics**

(cross-leveled with PHYSCS 7110). Interaction of light with matter, spectroscopic techniques, wave optics, interferometry, multilayer films, polarization, non-linear optics, design of optical instruments, matrix methods, waveguides, fiber optics, acousto-optic and photo-elastic modulation. Includes both lectures and laboratory.**Credit Hour****s**: 4**Prerequisites: **PHYSCS 2760

**PHYSCS 4120: Introduction to Thermodynamics**

Development of the concepts of temperature, heat, work, entropy, enthalpy and free energy. Applications to gases, liquids and solids. Statistical methods.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4140: Mechanics**

Development of fundamental concepts, principles of mechanics using mathematical methods. Many problems used.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4180: Solar System Science**

(same as GEOL 4180, ASTRON 4180; cross-leveled with GEOL 7180, PHYSCS 7180). Investigates physical states, interior structures and comparative geology of solar systems bodies: planets, moons, asteroids, comets, sun. Solar system formation and evolution.**Credit Hour****s**: 3**Prerequisites: **ASTRON 3010

**PHYSCS 4190: Physics and Chemistry of Materials**

(same as NU_ENG 4319, BIOL_EN 4480, CHEM 4490, BME 4480; cross-leveled with PHYSCS 7190, NU_ENG 7319, BIOL_EN 7480, CHEM 7490). Physics and Chemistry of Materials is a 3 credit hours course offered every spring semester for students from Physics, Chemistry, Engineering and Medical Departments and consists of lectures, laboratory demonstrations, two mid-term and one final exam. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2750, CHEM 1320 or equivalent, or instructor's consent

**PHYSCS 4210: Contributions to Science from Under-represented Groups**

(same as ASTRON 4210; cross-leveled with ASTRON 7210, PHYSCS 7210). STEM fields are amongst the areas of human endeavor that struggle with increasing their human diversity. Teaching of science rarely discusses the contributions or marginalizations of under-represented groups. Meanwhile, many women and indigenous cultures have contributed to progress in STEM but are often not recognized. In this course we will investigate these contributions, and the lack of recognition both historically and in the present day. The aim is to provide students with a better understanding of the advantages of and challenges in inclusive, diverse science. Initially the course will use astronomy as its frame of reference because the sky was one of the earliest laboratories and consequently it has a long history with many indigenous cultures developing their own cosmologies and ways of studying the sky. As we discuss the role of Indigenous peoples, people of color, and women, we will investigate the role of power structures as well as systemic biases in the marginalization of these groups. This class will be strongly discussion oriented, with assessment based on the development throughout the semester, of a final project. As many students will be pursuing graduate school in STEM fields, the final project will be to develop a Broader Impact statement. Many federal funding agencies request or even require that research grants include a component aimed at 'broadening participation', i.e. making STEM more inclusive and diverse. Student will work on a multipart assignment that will culminate in a Broader Impact statement that may well be directly applicable to an NSF GRFP (Graduate Research Fellowship Program) or NSF Post-Doctoral Fellowship. In addition to the Broader Impact statement - students will give presentations and learn how to be more inclusive in their presentation design, following the principles of Inclusive Design for Learning. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760 or PHYSCS 1200 or instructors consent

**PHYSCS 4250: Stellar Astrophysics**

(same as ASTRON 4250). Basic astrophysics of stable and unusual stars, stellar systems. Investigates stellar dimensions, radiation, spectra, energy, evolution, populations; interstellar medium, stellar motions and aggregation.**Credit Hour****s**: 3**Prerequisites: **ASTRON 3010

**PHYSCS 4350: Galactic Astronomy**

(same as ASTRON 4350). Observational properties of normal galaxies and clusters of galaxies, Seyfert and emission-line structure and dynamics of galaxies; interacting galaxies, quasi-steller objects. Introduction to cosmology.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760**Recommended: **PHYSCS 4140

**PHYSCS 4360: Extragalactic Astronomy**

(same as ASTRON 4360; cross-leveled with ASTRON 7360, PHYSCS 7360). This course introduces students to the most basic knowledge of extragalactic astronomy, starting from Milky Way and extending to the most distant universe. Topics covered will include galaxy morphology and classification, groups and clusters of galaxies, active galactic nuclei, and galaxy formation and evolution.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4390: Problems in Physics**

Problems in Physics**Credit Hour**: 1-3

**PHYSCS 4400: The Physics of Electronic Devices**

(cross-leveled with PHYSCS 7400). This course is designed for graduate and undergraduate students of Physics and Electrical Engineering who have an interest in learning the basic physical idea underlying the operation of electronic devices. The course consists of lectures, handout lecture notes, problem sets, two mid-term and one final exam. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or equivalent

**PHYSCS 4410: Analysis of Biological Macromolecules and Biomaterials**

(cross-leveled with PHYSCS 7410).This interdisciplinary, team-taught course introduces basic concepts and experimental techniques for studying bio-macromolecules and biomaterials. A Problem Based Learn/Writing Intensive approach uses four modules: Proteins, membranes, cellular interactions and biomaterials.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4420: Introduction to Biomedical Imaging**

(same as BIOL_EN 4420, BME 4420; cross-leveled with PHYSCS 7420, BIOL_EN 7420). This course offers a broad introduction to medical imaging. Topics to be covered include the physics basics and instrumentation of X-ray, CT, PET, SPECT, ultrasound, MRI, and optical imaging, as well as recent developments in biomedical imagining.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4450: Introduction to Cosmology**

(cross-leveled with PHYSCS 7450). Develops the physical concepts necessary for understanding the major recent discoveries in cosmology, such as the acceleration of the universe and dark energy. No prior knowledge of general relativity is assumed. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or equivalent

**PHYSCS 4460: Interstellar Medium**

(same as ASTRON 4460). The course discusses observational properties and physical and chemical processes occurring in the interstellar medium. Topics include interstellar diffuse and molecular clouds, HII regions, dust grains, interstellar chemistry, star formation, supernova remnants, and interstellar shock waves.**Credit Hour****s**: 3**Prerequisites: **ASTRON 3010

**PHYSCS 4500: Computational Biological Physics**

(cross-leveled with PHYSCS 7500). Provides a practical introduction (hands-on approach) to the study of the structure and function of biomolecular systems by employing computational methods and theoretical concepts familiar from the physical sciences.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760 or instructor's consent

**PHYSCS 4510: Single Molecule Biophysics**

(same as BIOCHM 4510; Cross-leveled with PHYSCS 7510). The course provides an overview of the biophysics of enzymes, nucleic acids and the cytoskeleton. Topics covered will include diffusion, molecular motors, polymerization and the cytoskelton and the polymer properties of nucleic acids and microtubules**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 4520: Introduction to Biophysics**

This course introduces the study of biological systems from the perspective of a physicist. Students will learn how to relate the structure of a particular system and its constituents to its function. The treatment of molecular and cellular phenomena will be based on physical principles quantified through the necessary analytical tools. Prominent biophysical methods and their fundamental operating principles will also be discussed. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 1220 or PHYSCS 2760 or instructor's consent

**PHYSCS 4550: Cosmochemistry**

(same as ASTRON 4550; cross-leveled with ASTRON 7550, PHYSCS 7550). Cosmic dust, stardust, spectra, energy, interstellar medium, meteorites, astromineralogy.**Credit Hour****s**: 3**Prerequisites: **ASTRON 3010

**PHYSCS 4600: Semiconductor Optics**

(cross-leveled with PHYSCS 7600). It is an introductory-level course in the field of optical processes in semiconductors (both inorganic and organic) and solid-state optoelectronics, designed both for graduate and undergraduate students of Physics, Chemistry and Electrical Engineering. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150

**PHYSCS 4620: Introduction to Materials Science**

This course on the science and technology of materials explores the interrelationship between processing, structure, properties (electrical, optical, magnetic), and performance. Observable properties of materials will be used to explore and understand the consequences of atomic- and molecular-level events. Structure-property correlations, including electronic, thermal, and mechanical properties, will be presented for different classes of materials including nanoscale materials. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150

**PHYSCS 4650: Modern Condensed Matter Physics**

(cross-leveled with PHYSCS 7650). Introduces the basic concepts and gives an overview of the latest developments of modern condensed-matter physics as the forefront of (nano) science and technology. Combines lectures and computational laboratory, where students use and develop interactive computer simulations. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or instructor's consent

**PHYSCS 4680: Introduction to Density-Functional Theory**

(cross-leveled with PHYSCS 7680). This course provides an introduction to density-functional theory (DFT), the most widely used technique for calculating the electronic structure of materials. The course covers the basic formalism of DFT and practical applications, including hands-on computational exercises. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or instructor's consent

**PHYSCS 4720: Nonlinear Dynamics**

(cross-leveled with PHYSCS 7720). This course provides an introduction to nonlinear dynamical systems and chaos, with examples from physics, chemistry, biology and engineering. The emphasis will be on applications, using a combination of analytical, computational and intuitive geometrical methods. Topics covered include phase portraits, fixed point analysis, bifurcations, limit cycles, strange-attractors, iterated maps, period doubling, chaos, fractals, scaling and universality. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **MATH 4100 or instructor's consent**Recommended: **MATH 4140

**PHYSCS 4800: Introduction to Quantum Mechanics I**

Foundations of wave mechanics; wave packets; Schrodinger equation and I-D problems; operators and eigenfunctions, spherically symmetric systems.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 and MATH 4100

**PHYSCS 4810: Introduction to Quantum Mechanics II**

Review of quantum mechanics and units, forms of radiation, radiation detectors, spacetime symmetries, internal symmetries, nuclear structure and form factors, low-energy nuclear models, recent developments.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 4800 or equivalent

**PHYSCS 4850: Computational Methods in Physics**

(cross-leveled with PHYSCS 7850). Use of modern computational techniques in solving a wide variety of problems in solid state, nuclear, quantum and statistical physics.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 4800 or instructor's consent

**PHYSCS 4940: Physics Internship**

This internship course will provide students with work experience in a public/private company/lab organization that is relevant to the physics major. It will enable students to apply their academic knowledge and critical thinking skills in a work environment, while enhancing personal and professional development. The internship is coordinated by a faculty member. Graded on S/U basis only.**Credit Hour**: 0-3**Prerequisites: **Instructor's Consent

**PHYSCS 4950: Undergraduate Research in Physics**

Special studies for advanced undergraduate students in physics covering subjects not included in courses regularly offered. Departmental consent for repetition.**Credit Hour**: 1-3**Prerequisites: **instructor's consent

**PHYSCS 4960: Senior Thesis in Physics**

Special studies for senior undergraduate students in physics. The course requires an oral or poster presentations, or faculty-guided writing of a senior thesis involving independent research.**Credit Hour****s**: 3**Prerequisites: **instructor's consent and 3 units of PHYSCS 4950. Departmental consent required for repetition

**PHYSCS 4985: Issues in Modern Physics and Engineering**

Students are expected to write a major paper on a selected topic from modern physics or engineering. The paper will review the current state of the experimental and theoretical research on the topic at a level appropriate to their peers.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150

**PHYSCS 7020: Astrophysical Techniques**

(same as ASTRON 7020; cross-leveled with PHYSCS 4020). Elements of modern astronomical instruments, observations and analysis, with the emphasis in the optical regime. Graded on A-F basis only. .**Credit Hour****s**: 3

**PHYSCS 7050: Electronic Laboratory**

(cross-leveled with PHYSCS 4050). Acquaints students with the foundations and techniques of electronics design, with emphasis on data acquisition and processing. Topics: circuits with discrete and integrated circuits, active and passive filters, amplifiers, power supplies, instrumentation and interfacing. Integrated lectures and labs. Graded on A-F basis only.**Credit Hour****s**: 4**Prerequisites: **PHYSCS 2760

**PHYSCS 7085: Problems in Physics**

Laboratory work involving study of literature of special experiments in physics. Introduces research methods.**Credit Hour**: 1-99

**PHYSCS 7110: Light and Modern Optics**

(cross-leveled with PHYSCS 4110). Interaction of light with matter, spectroscopic techniques, wave optics, interferometry, multilayer films, polarization, non-linear optics, design of optical instruments, matrix methods, waveguides, fiber optics, acousto-optic and photo-elastic modulation. Includes both lectures and laboratory.**Credit Hour****s**: 4**Prerequisites: **PHYSCS 2760

**PHYSCS 7180: Solar System Science**

(same as GEOL 7180 and ASTRON 7180; cross-leveled with GEOL 4180 and ASTRON 4180). Investigates physical states, interior structures and comparative geology of solar systems bodies: planets, moons, asteroids, comets, sun. Solar system formation and evolution.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 1220 or PHYSCS 2760 or instructor's consent

**PHYSCS 7190: Physics and Chemistry of Materials**

(same as NU_ENG 7319, BIOL_EN 7480, CHEM 7490; cross-leveled with PHYSCS 4190, NU_ENG 4319, BIOL_EN 4480, CHEM 4490, BME 4480). Physics and Chemistry of Materials is a 3 credit hours course offered every spring semester for students from Physics, Chemistry, Engineering and Medical Departments and consists of lectures, laboratory demonstrations, two mid-term and one final exam. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2750, CHEM 1320 or equivalent, or instructor's consent

**PHYSCS 7201: Topics in Physics**

Organized study of selected topics. Subjects and earnable credit may vary from semester to semester**Credit Hour**: 1-3**Prerequisites: **Instructor's consent required

**PHYSCS 7210: Contributions to Science from Under-represented Groups**

(same as ASTRON 7210; cross-leveled with PHYSCS 4210, ASTRON 4210). STEM fields are amongst the areas of human endeavor that struggle with increasing their human diversity. Teaching of science rarely discusses the contributions or marginalizations of under-represented groups. Meanwhile, many women and indigenous cultures have contributed to progress in STEM but are often not recognized. In this course we will investigate these contributions, and the lack of recognition both historically and in the present day. The aim is to provide students with a better understanding of the advantages of and challenges in inclusive, diverse science. Initially the course will use astronomy as its frame of reference because the sky was one of the earliest laboratories and consequently it has a long history with many indigenous cultures developing their own cosmologies and ways of studying the sky. As we discuss the role of Indigenous peoples, people of color, and women, we will investigate the role of power structures as well as systemic biases in the marginalization of these groups. This class will be strongly discussion oriented, with assessment based on the development throughout the semester, of a final project. As many students will be pursuing graduate school in STEM fields, the final project will be to develop a Broader Impact statement. Many federal funding agencies request or even require that research grants include a component aimed at "broadening participation", i.e. making STEM more inclusive and diverse. Student will work on a multipart assignment that will culminate in a Broader Impact statement that may well be directly applicable to an NSF GRFP (Graduate Research Fellowship Program) or NSF Post-Doctoral Fellowship. In addition to the Broader Impact statement - students will give presentations and learn how to be more inclusive in their presentation design, following the principles of Inclusive Design for Learning. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760 or PHYSCS 1200 or instructors consent

**PHYSCS 7360: Extragalactic Astronomy**

(same as ASTRON 7360; cross-leveled with PHYSCS 4360, ASTRON 4360). This course introduces students to the most basic knowledge of extragalactic astronomy, starting from Milky Way and extending to the most distant universe. Topics covered will include galaxy morphology and classification, groups and clusters of galaxies, active galactic nuclei, and galaxy formation and evolution.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 7400: Physics of Electronic Devices**

(cross-leveled with PHYSCS 4400). This course is designed for graduate students of Physics and Electrical Engineering who have an interest in learning the basic physical idea underlying the operation of electronic devices. The course consists of lectures, handout lecture notes, problem sets, two mid-term and one final exam.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or equivalent

**PHYSCS 7410: Analysis of Biological Macromolecules and Biomaterials**

(cross-leveled with PHYSCS 4410). This interdisciplinary, team-taught course introduces basic concepts and experimental techniques for studying bio-macromolecules and biomaterials. A Problem Based Learn/Writing Intensive approach uses four modules: proteins, membranes, cellular interactions and biomaterials.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 7420: Introduction to Biomedical Imaging**

(same as BIOL_EN 7420; crossleveled with PHYSCS 4420, BIOL_EN 4420, BME 4420). This course offers a broad introduction to medical imaging. Topics to be covered include the physics basics and instrumentation of X-ray CT, PET, SPECT, ultrasound, MRI, and optical imaging, as well as recent developments in biomedical imaging.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 7450: Introduction to Cosmology**

(cross-leveled with PHYSCS 4450). Develops the physical concepts necessary for understanding the major recent discoveries in cosmology, such as the acceleration of the universe and dark energy. No prior knowledge of general relativity is assumed. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or equivalent or instructor's consent

**PHYSCS 7500: Computational Biological Physics**

(cross-leveled with PHYSCS 4500). Provides a practical introduction (hands-on approach) to the study of the structure and function of biomolecular systems by employing computational methods and theoretical concepts familiar from the physical sciences.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 1220 or PHYSCS 2760 or instructor's consent

**PHYSCS 7510: Single Molecule Biophysics**

(same as BIOCHM 7510; cross-leveled with PHYSCS 4510). The course provides an overview of the biophysics of enzymes, nucleic acids and the cytoskeleton. Topics covered will include diffusion, molecular motors, polymerization of the cytoskelton and the polymer properties of nucleic acids and microtubules**Credit Hour****s**: 3**Prerequisites: **PHYSCS 2760

**PHYSCS 7550: Cosmochemistry**

(same as ASTRON 7550; cross-leveled with PHYSCS 4550, ASTRON 4550). Cosmic dust, stardust, spectra, energy, interstellar medium, meteorites, astromineralogy.**Credit Hour****s**: 3**Prerequisites: **ASTRON 3010

**PHYSCS 7600: Semiconductor Optics**

(cross-leveled with PHYSCS 4600). It is an introductory-level course in the field of optical processes in semiconductors (both inorganic and organic) and solid-state optoelectronics, designed both for graduate and undergraduate students of Physics, Chemistry and Electrical Engineering.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or instructor's consent

**PHYSCS 7650: Modern Condensed Matter Physics**

(cross-leveled with PHYSCS 4650). Introduces the basic concepts and gives an overview of the latest developments of modern condensed matter physics as the forefront of (nano) science and technology. Combines lectures and computational laboratory, where students use and develop interactive computer simulations. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or instructor's consent

**PHYSCS 7680: Introduction to Density-Functional Theory**

(cross-leveled with PHYSCS 4680). This course provides an introduction to density-functional theory (DFT), the most widely used technique for calculating the electronic structure of materials. The course covers the basic formalism of DFT and practical applications, including hands-on computational exercises. Graded on A-F basis only.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 or instructor's consent

**PHYSCS 7720: Nonlinear Dynamics**

(cross-leveled with PHYSCS 4720). This course provides an introduction to nonlinear dynamical systems and chaos, with examples from physics, chemistry, biology and engineering. The emphasis will be on applications, using a combination of analytical, computational and intuitive geometrical methods. Topics covered include phase portraits, fixed point analysis, bifurcations, limit cycles, strange-attractors, iterated maps, period doubling, chaos, fractals, scaling and universality. Graded on A-F basis only.**Credit Hour****s**: 3

**PHYSCS 7750: Interstellar Medium**

(same as ASTRON 7750; cross-leveled with ASTRON 4460, PHYSCS 7750). The course discusses observational properties and physical and chemical processes occurring in the interstellar medium. Topics include interstellar diffuse and molecular clouds, HII regions, dust grains, interstellar chemistry, star formation, supernova remnants, and interstellar shock waves.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 1220

**PHYSCS 7850: Computational Methods in Physics**

(cross-leveled with PHYSCS 4850). Use of modern computational techniques in solving a wide variety of problems in solid state, nuclear, quantum and statistical physics.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 4800 or instructor's consent

**PHYSCS 8040: Study of Techniques of Teaching College Physics**

Objectives, methods and problems related to teaching college physics. Some credit in this course is required for all students teaching physics. May repeat for 3 hours maximum.**Credit Hour**: 1-3

**PHYSCS 8090: Research in Physics**

Graduate research. Graded on S/U Basis only.**Credit Hour**: 1-99

**PHYSCS 8101: Topics of Physics and Astronomy**

Organized study of selected topics. Subjects and earnable credit may vary from semester to semester.**Credit Hour**: 1-3**Prerequisites: **instructor's consent. Departmental consent for repetition

**PHYSCS 8150: Condensed Matter Physics I**

Crystal structure, reciprocal lattice, phonons, neutron and x-ray scattering, free electron theory of metals, Fermi surfaces, energy bands, static properties of solids, semiconductors, devices, and quantum structures, optical properties, excitons, introduction to magnetism and superconductivity.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 4800 or equivalent

**PHYSCS 8160: Condensed Matter Physics II**

The basic Hamiltonian, Phonons, theory of the electron gas, second quantization, Hartree and Hartree-Fock approximation, local-density method, tight-binding theory, electron-electron interaction and screening, Fermi liquid theory, transport properties, impurities, Green's function's, Localization, Quantum Hall effect, magnetism, superconductivity.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8150

**PHYSCS 8170: Structure, Electronic Structure and Properties of Condensed Matter**

This course covers the connections between the properties of matter and their atomic and electronic properties, especially by understanding macroscopic behaviors of condensed matter, such as magnetic ordering, vibrational properties, structural phase transitions, transport, optical properties and superconductivity. Graded on A-F basis only.**Credit Hour****s**: 3**Recommended: **PHYSCS 8150

**PHYSCS 8180: Topological Phenomena in Condensed Matter Physics**

Introduction to the rapidly growing field of topological physics in condensed matter systems. The course will present essential mathematical tools such as group theory and topology, and discuss a broad spectrum of newly-discovered topological phenomena including topological insulators, topological superconductivity, topological photonics and topological phononics. Graded on A-F basis only.**Credit Hour****s**: 3**Recommended: **a course in Quantum Mechanics

**PHYSCS 8301: Topics in Astronomy and Astrophysics**

Selected topics from solar system, stellar, galactic and extragalactic astronomy and astrophysics. May be repeated to a maximum of six hours.**Credit Hour****s**: 3**Prerequisites: **instructor's consent

**PHYSCS 8310: College Science Teaching**

(same as ASTRON 8310, BIO_SC 8724 and LTC 8724). Study of learner characteristics, teaching strategies, and research findings related to teaching science at the post-secondary level.**Credit Hour****s**: 3

**PHYSCS 8350: Science Outreach: Public Understanding of Science**

(same as BIO_SC 8725 and AN_SCI 8725) This course is aimed at promoting public understanding and appreciation of science. The students will develop presentations that increase awareness of the impact of science on many aspects of our daily lives.**Credit Hour**: 1-2

**PHYSCS 8410: Concepts in Nanoscale Materials: Interdisciplinary Science**

This interdisciplinary course covers basic concepts in nanoscale materials, their characterization, and how and why they differ from conventional bulk materials. The course focuses on neutron scattering methods and uses lectures, problem-based modules, and writing assignments.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 3150 and instructor's consent

**PHYSCS 8420: X-ray and Neutron Scattering Methods for Studying Surfaces/Interfaces of Nanocrystalline Materials**

This course develops the conceptual foundation of neutron and x-ray scattering methods for probing the structure of epitaxial films, nanomaterials and their buried interfaces. A particular emphasis is given to the use of intense synchrotron x-ray radiation. Course graded on A-F basis only.**Credit Hour****s**: 3

**PHYSCS 8550: Stellar Structure and Evolution**

(same as ASTRON 8550). Reviews of atomic and molecular spectra. Investigates quantum radiation law, emission and absorption processes, radiation transfer theory, continuous and discrete line spectra of stars, stellar composition.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 4250, PHYSCS 4800, or instructor's consent

**PHYSCS 8610: Classical Mechanics**

The interplay of dynamics and symmetry, Hamilton's principle and Noether's theorem, Lagrangian, Hamiltonian, Hamilton-Jacobi theories of mechanics in special relativity. Rigid body motion, small oscillation, canonical transformations and fields as continuous mechanical systems.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 4140 or equivalent

**PHYSCS 8620: Electrodynamics I**

Electrostatic potential and fields, boundary-value problems in electrostatics, methods of images, Green's functions, multipole expansion, dielectrics, magnetostatics, magnetic materials, Maxwell's' equations, time-varying fields.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8610 or instructor's consent

**PHYSCS 8640: Electrodynamics II**

Electromagnetic wave propagation, reflection, refraction, wave guides, cavities antennas and diffraction, tensors, special relativity, the Lorentz group, dynamics of relativistic particles and fields radiation by moving charges, retardation, bremsstrahlung. Additional topics may include magnetohydrodynamics and plasma physics.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8620 or instructor's consent

**PHYSCS 8660: Methods in Mathematical Physics**

Concentrates on mathematical techniques used in modern physics. Infinite series, functions of a complex variable, differential equations, Fourier series and integral, etc.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 4700 or instructor's consent

**PHYSCS 8680: Thermodynamics and Statistical Mechanics**

Thermodynamics as applied in physics, chemistry; laws of distribution; statistical methods of study matter, radiation.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8710 or concurrently

**PHYSCS 8700: Non-Equilibrium Statistical Mechanics**

This course provides an introduction to the theoretical and mathematical description of classical stochastic systems with examples from biophysics and condensed matter physics.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8680 or consent of instructor

**PHYSCS 8710: Quantum Mechanics I**

Non-relativistic quantum theory in Hilbert space. States and self-adjoint observables, unitary time evolution in various pictures, the path-integral, identical particles, Fock space, angular momentum and some pertubation theory.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8610

**PHYSCS 8720: Quantum Mechanics II**

More perturbation theory, variational methods, semi-classical methods and application to radiation theory, linear response theory and rudiments of relativistic quantum mechanics including the Klein-Gordan equation and the Dirac equation.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8710

**PHYSCS 8820: Relativity and Gravitation**

Special and general theories of relativity. Discussion of accelerated observers and the principles of equivalence. Einstein's gravitational field equations, black holes, gravitational waves and cosmology.**Credit Hour****s**: 3**Prerequisites: **PHYSCS 8610, PHYSCS 8620

**PHYSCS 9090: Research in Physics**

Research leading to Ph.D. dissertation. Graded on a S/U basis only.**Credit Hour**: 1-99**Prerequisites: **PhD candidacy has been established