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PHYS 1125G. Physics of Music PHYS-PHYSICS 4 Credits (3+2P) Introduction for non-science majors to basic concepts, laws, and skills in PHYS 1111. Introductory physics, in the context of a study of sound, , and music. 3 Credits (2+2P) Learning Outcomes Introduction to computational techniques for the solution of physics- 1. Demonstrate converting units and other aspects of dimensional related problems. analysis in the working of numerical problems. Prerequisite(s): a C- or better in MATH 1220G or MATH 1250G or 2. Apply basic classical to static and dynamic fluids, MATH 1511G. including Archimedes’principle and Bernoulli’s principle. PHYS 1112. Introductory Physics for the Health Sciences 3. Apply the general properties of waves to simple models of musical 3 Credits (3) instruments. Algebra-level introduction to topics required for the Health Sciences 4. Demonstrate knowledge of basic operating principles of wind, string, including basic mechanics (including sound, mechanical waves and and percussion instruments. fluids), heat and , and magnetism, and 5. Demonstrate knowledge of how objectively measurable properties of electromagnetic waves, atomic and and applications to sound waves correspond to the perceptions of pitch, loudness, and medical imaging. Restricted to Community Colleges campuses only. timbre. Prerequisite(s): MATH 1215 or Equivalent. Learning Outcomes 6. Demonstrate understanding of the description of vibrations and 1. The objective of the course is to familiarize the student with the waves in terms of Fourier’s Theorem and normal modes. concepts and methods used in the underlying physics associated 7. Demonstrate understanding of vocalization in terms of physical with various Health Science disciplines. principles such as resonance and . 2. The course will demonstrate how the basic principles of mechanics, 8. Demonstrate understanding of how the ear works. thermodynamics, electricity, magnetism, electromagnetic waves and optics can be applied to solve particular problems in Health Sciences PHYS 1230G. Algebra-Based Physics I applications. Introduces the student to selected topics in modern 3 Credits (3) physics including quantum physics, atomic and nuclear physics. An algebra-based treatment of Newtonian mechanics. Topics include kinematics and dynamics in one and two dimensions, conservation of PHYS 1115G. Survey of Physics with Lab and , rotational motion, equilibrium, and fluids. 4 Credits (3+3P) Learning Outcomes Overview of the concepts and basic phenomena of physics. This 1. Demonstrate converting units and other aspects of dimensional course provides a largely descriptive and qualitative treatment with a analysis in the working of numerical problems. minimum use of elementary mathematics to solve problems. No previous 2. Apply principles of Newtonian mechanics to predict and account for knowledge of physics is assumed. Includes laboratory. simple phenomena modeled by the motion of particles in one and two Learning Outcomes dimensions. 1. Apply concepts of (such as velocity, 3. Apply principles of Newtonian mechanics to predict and account acceleration, force, , momentum, torque, work, energy) to for simple phenomena modeled by the motion of a rigid body in two simple static and dynamic systems. dimensions. 2. Apply concepts of thermodynamics (such as heat, temperature, 4. Apply Newton’s theory of gravitation to circular orbits and internal energy, entropy) to simple processes. demonstrate understanding of how Kepler’s laws of planetary motion 3. Apply concepts of electricity and magnetism (such as fields, provide the empirical foundation for Newton’s theory. potential, charge conservation, static and dynamic induction) to 5. Apply the mathematics of vectors to the principles of Newtonian simple circuits, motors, and other simple contrivances. mechanics. 4. Apply simple geometric and wave optics in simple situations. 6. Apply principles of Newtonian mechanics to the case of static and 5. Test ideas using modern laboratory equipment. dynamic incompressible fluids, including Archimedes’and Bernoulli’s 6. Estimate experimental uncertainties. principles. 7. Use computers to analyze and report laboratory results. 8. Draw appropriate conclusions from quantitative scientific . 9. Accurately and clearly communicate the results of scientific . 2 PHYS-PHYSICS

PHYS 1230L. Algebra-Based Physics I Lab PHYS 1310G. Calculus -Based Physics I 1 Credit (1) 3 Credits (3) A series of laboratory experiments associated with the material A calculus level treatment of classical mechanics and waves, which is presented in PHYS 1230G. concerned with the physical motion concepts, forces, energy concepts, Prerequisite(s)/Corequisite(s): PHYS 1230G. momentum, rotational motion, angular momentum, , and static Learning Outcomes equilibrium. May be repeated up to 3 credits. 1. Explain the scientific method. Prerequisite(s): a C- or better in MATH 1511G or higher. 2. Test ideas using modern laboratory equipment. Learning Outcomes 3. Estimate experimental uncertainties using statistical methods. 1. Describe the relationships among position, velocity, and acceleration as functions of time. 4. Use computers to analyze and report laboratory results. 2. Use the equations of kinematics to describe motion under constant 5. Draw appropriate conclusions from quantitative scientific acceleration. observations. 3. Analyze linear motion using Newton’s laws, force, and linear 6. Accurately and clearly communicate the results of scientific momentum. experiments. 4. Analyze rotational motion using torque and angular momentum. PHYS 1240G. Algebra-Based Physics II 5. Analyze motion using work and energy. 3 Credits (3) The second half of a two semester algebra-based introduction to Physics. PHYS 1310L. Calculus -Based Physics I Lab This course covers electricity, magnetism and optics. 1 Credit (3P) Prerequisite(s): a C- or better in PHYS 1230G or PHYS 2230G. A series of laboratory experiments associated with the material Learning Outcomes presented in Calculus-based Physics I. Students will apply the principles 1. Be able to state Coulomb's Law and Gauss's laws and apply them. and concepts highlighting the main objectives covered in coursework for 2. Apply the concepts of electric charge, electric field and electric Calculus-based Physics I. potential to solve problems. Prerequisite(s)/Corequisite(s): PHYS 1310G. Learning Outcomes 3. Analyze simple DC and AC circuits. 1. Develop a reasonable hypothesis. 4. Apply the Lorentz force to solve problems. 2. Work effectively as part of a team. 5. Apply Faraday’s law of induction (and Lenz’s law) to solve problems. 3. Take measurements and record measured quantities to the 6. Apply ray optics to practical lens systems such as microscopes and appropriate precision. corrective lenses. 4. Estimate error sources in experimental techniques. 7. Apply the wave nature of to the phenomena of reflection, 5. Apply appropriate methods of analysis to raw data, including using refraction, and diffraction. graphical and statistical methods via computer-based tools. PHYS 1240L. Algebra-Based Physics II Lab 6. Determine whether results and conclusions are reasonable. 1 Credit (1) 7. Present experimental results in written form in appropriate style and A series of laboratory experiments associated with the material depth. presented in PHYS 1240 8. Experience the relationship between theory and . Prerequisite(s)/Corequisite(s): PHYS 1240G. Learning Outcomes PHYS 1311. Problems in Calculus-Based Physics I 1. Explain the scientific method. 0.5-1 Credits (.5-1) 2. Test ideas using modern laboratory equipment. This is a supplemental course for Calculus-based Physics I. May be 3. Estimate experimental uncertainties using statistical methods. repeated up to 1 credits. Corequisite(s): PHYS 1310G. 4. Use computers to analyze and report laboratory results. 5. Draw appropriate conclusions from quantitative scientific observations. 6. Accurately and clearly communicate the results of scientific experiments. PHYS-PHYSICS 3

PHYS 1320G. Calculus -Based Physics II PHYS 2111. Supplemental Instruction to PHYS 2110 3 Credits (3) 0.5-1 Credits (.5-1) A calculus level treatment of classical electricity and magnetism. It is This Optional workshop as a supplement to PHYS 2110. The tutorial strongly recommended that this course is taken at the same time as sessions focus on reasoning and hands-on problem solving. May be Calculus-based Physics II laboratory. May be repeated up to 3 credits. repeated up to 1 credits. Prerequisite(s): a C- or better in PHYS 2110 or PHYS 1310G and Corequisite(s): PHYS 2110. MATH 1521G or higher. Learning Outcomes Learning Outcomes 1. analyze real world phenomena by constructing simplified idealized 1. Apply the concepts of electric charge, electric field and electric models and appropriate mathematical reasoning to make predictions potential to solve problems. or explain a phenomena or function. 2. Sketch the electric field in the vicinity of point, line, sheet, and 2. use multiple representations to build, interpret and communicate spherical distributions of static electric charge. the model, including visual representations such as sketches or 3. Sketch the magnetic field in the vicinity of line, ring, sheet, and diagrams, mathematical expressions, graphs, or text. solenoid distributions of steady current. 3. in the contexts of concepts and physical laws discussed in 4. Describe the relationship between electric field and electric potential. PHYS 2110, apply quantitative analysis to solve problems, including 5. Calculate the Lorentz force on a moving charge for simple geometries the use of scientific notation, unit conversion and vector algebra. of the fields and use it to analyze the motion of charged particles. 4. self-check reasonableness of assumptions and solutions, making use 6. Apply the integral forms of Maxwell’s equations. of limiting cases or symmetry arguments. 7. Calculate the energy of electromagnetic fields. 5. develop learning strategies and use metacognition to promote thinking in the discipline. 8. Analyze DC circuits. PHYS 2120. Heat, Light, and Sound PHYS 1320L. Calculus -Based Physics II Lab 3 Credits (3) 1 Credit (3P) Calculus-level treatment of thermodynamics, geometrical and physical A series of Laboratory experiments associated with the material optics, and sound. May be repeated up to 3 credits. presented in Calculus-Based Physics II. Students will apply the principles Prerequisite(s): a C- or better in PHYS 2110 or PHYS 1310G, and and concepts highlighting the main objectives covered in coursework for MATH 1511G or higher. Calculus-Based Physics II. Prerequisite(s)/Corequisite(s): PHYS 1320G. Prerequisite(s): A C- or PHYS 2120L. Heat, Light, and Sound Laboratory better in PHYS 2110L or PHYS 1310L. 1 Credit (3P) Learning Outcomes Laboratory experiments associated with the material presented in 1. Develop a reasonable hypothesis. PHYS 2120. Science majors. 2. Work effectively as part of a team. Prerequisite(s)/Corequisite(s): PHYS 2120. Prerequisite(s): a C- or better in PHYS 2110L or PHYS 1310L. 3. Take measurements and record measured quantities to the appropriate precision. PHYS 2121. Supplemental Instruction to PHYS 2120 4. Estimate error sources in experimental techniques. 0.5-1 Credits (.5-1) This optional workshop supplements PHYS 2120 "Heat, Light, and 5. Apply appropriate methods of analysis to raw data, including using Sound". Students actively apply concepts and methods introduced graphical and statistical methods via computer-based tools. in PHYS 2120 to problem solving and quantitative analysis. May be 6. Determine whether results and conclusions are reasonable. repeated up to 1 credits. 7. Present experimental results in written form in appropriate style and Corequisite(s): PHYS 2120. depth. Learning Outcomes 8. Experience the relationship between theory and experiment 1. analyze real world phenomena by constructing simplified idealized models and appropriate mathematical reasoning to make predictions PHYS 1321. Problems in Calculus-Based Physics II or explain a phenomena or function. 0.5-1 Credits (.5-1) 2. use multiple representations to build, interpret and communicate This is a supplemental course for Calculus-based Physics II. the model, including visual representations such as sketches or Corequisite(s): PHYS 1320G. diagrams, mathematical expressions, graphs, or text. PHYS 2110. Mechanics 3. in the contexts of concepts and physical laws discussed in 3 Credits (3) PHYS 2121, apply quantitative analysis to solve problems involving Newtonian mechanics. wave propagation and interference, geometric optics, heat transfer Prerequisite(s)/Corequisite(s): MATH 1511G or higher. and thermodynamics. PHYS 2110L. Experimental Mechanics 4. self-checkreasonableness of assumptions and solutions, making use 1 Credit (3P) of limiting cases or symmetry arguments. Laboratory experiments associated with the material presented in 5. develop learning strategies and use metacognition to promote PHYS 2110. Science majors. thinking in the discipline Prerequisite(s)/Corequisite(s): PHYS 2110. 4 PHYS-PHYSICS

PHYS 2140. Electricity and Magnetism PHYS 2230G. General Physics for Life Science I 3 Credits (3) 3 Credits (3) Charges and matter, the electric field, Gauss law, the electric potential, the This algebra-based introduction to general physics covers mechanics, magnetic field, Ampere's law, Faraday's law, electric circuits, alternating waves, sound, and heat. Special emphasis is given to applications in currents, Maxwell's equations, and electromagnetic waves. May be the life sciences. This course is recommended for students in the life repeated up to 3 credits. sciences and those preparing for the physics part of the MCAT. May be Prerequisite(s)/Corequisite(s): MATH 1521G. Prerequisite(s): a C- or repeated up to 3 credits. better in PHYS 2110 or PHYS 1310G, and MATH 1511G or higher. Prerequisite(s): A C or better in MATH 1215 or higher. PHYS 2140L. Electricity & Magnetism Laboratory Learning Outcomes 1. Modeling: analyze real-world phenomena by deciding what 1 Credit (3P) information is relevant and constructing simplified idealized models Laboratory experiments associated with the material presented in and appropriate mathematical reasoning to make predictions PHYS 2140. or explain phenomena or function; use multiple representations Prerequisite(s)/Corequisite(s): PHYS 2140. Prerequisite(s): a C- or better to build, interpret and communicate the model,including visual in PHYS 2110 or PHYS 1310G. representations such as sketches or diagrams, mathematical PHYS 2141. Supplemental Instruction to PHYS 2140 expressions, graphs, or text; critique assumptions and determine 0.5-1 Credits (.5-1) how to test the validity of a model and use the comparison of Optional workshop as a supplement to PHYS 2140. The tutorial sessions experimental data and prediction to refine the model. focus on reasoning and hands-on problem solving. May be repeated up to 2. Conceptual understanding: describe the motion of any object in terms 1 credits. of displacement, velocity, and acceleration; analyze external forces Corequisite(s): PHYS 2140. acting on an object and determine if a system is in equilibrium or relate the net force to changes in motion; predict or analyze motion using conservation laws for energy and momentum; analyze forces and torques fora rigid object in static equilibrium; for a static fluid determine pressure and the buoyant force; apply idealized models of fluid flow to the circulatory system; describe the properties of pressure waves known as sound, apply the model of standing waves to musical instruments and discuss how sound is used to sense the environment; predict qualitative changes in the internal energy of a thermodynamic system when energy has been transferred due to work or heat and justify those predictions using conservation of energy (First law of thermodynamics). Identify which heat transfer processes occur in a described situation. 3. Quantitative reasoning: use a physics problem-solving strategy (Identify relevant concepts; Introduce and study simplified models; Use symmetry arguments; Establish the relation between known and unknown quantities; Calculate a quantitative result using appropriate mathematical methods; Self-check reasonableness of assumptions and solutions); use scientific notation accurately and convert units if necessary. 4. Communicating scientific information: interpret or generate graphs or other visual representations and be able to switch between various representations including text,mathematical description, or diagrams.

PHYS 2230L. Laboratory to General Physics for Life Science I 1 Credit (1) Laboratory experiments in topics associated with material presented in PHYS 2230G. Prerequisite(s)/Corequisite(s): PHYS 2230G. Restricted to Las Cruces campus only. PHYS-PHYSICS 5

PHYS 2231. Supplemental Instruction to General Physics for Life PHYS 2240L. Laboratory to General Physics for Life Science II Sciences I 1 Credit (1) 1 Credit (1) Laboratory experiments in topics associated with material presented in This optional workshop supplements Physics for Life Sciences I. The PHYS 2240. tutorial sessions focus on reasoning and hands-on problem solving. May Prerequisite(s)/Corequisite(s): PHYS 2240G. Restricted to Las Cruces be repeated up to 1 credits. campus only. Corequisite(s): PHYS 2230G. PHYS 2241. Supplemental Instruction to General Physics for Life Learning Outcomes Sciences II 1. analyze real world phenomena by constructing simplified idealized 1 Credit (1) models and appropriate mathematical reasoning to make predictions This optional workshop is a supplement to Physics for Life Science II. The or explain a phenomena or function. tutorial sessions focus on reasoning and hands-on problem solving. May 2. use multiple representations to build, interpret and communicate be repeated up to 1 credits. the model, including visual representations such as sketches or Corequisite(s): PHYS 2240G. diagrams, mathematical expressions, graphs, or text. Learning Outcomes 3. in the contexts of concepts and physical laws discussed in PHYS 1. analyze real world phenomena by constructing simplified idealized 2230, apply quantitative analysis to solve problems, including the use models and appropriate mathematical reasoning to make predictions of scientific notation, unit conversion and vector algebra. or explain a phenomena or function. 4. self-check reasonableness of assumptions and solutions, making use 2. use multiple representations to build, interpret and communicate of limiting cases or symmetry arguments. the model, including visual representations such as sketches or 5. develop learning strategies and use metacognition to promote diagrams, mathematical expressions, graphs, or text. thinking in the discipline. 3. in the contexts of concepts and physical laws discussed in PHYS 2240, apply quantitative analysis to solve problems, including the use PHYS 2240G. General Physics for Life Science II of scientific notation, unit conversion and vector algebra. 3 Credits (3) 4. self-check reasonableness of assumptions and solutions, making use This algebra-based course covers electricity, magnetism, light, atomic of limiting cases or symmetry arguments. physics, and radioactivity. Special emphasis is given to applications in 5. develop learning strategies and use metacognition to promote the life sciences This course is recommended for students in the life thinking in the discipline. sciences and those preparing for the physics part of the MCAT. May be repeated up to 3 credits. PHYS 2996. Special Topics Prerequisite(s): a C- or better in PHYS 1230G or PHYS 2230G, and 1-3 Credits MATH 1220G or higher. Topics to be announced in the Schedule of Classes. May be repeated for Learning Outcomes a maximum of 12 credits. 1. Modeling: analyze real world phenomena by constructing simplified Learning Outcomes idealized models (an abstract description) that allow making 1. Varies predictions or explaining a phenomena or function; use multiple representations to build and communicate the model, including PHYS 2997. Independent Study sketches, mathematical expressions, diagrams or graphs; decide 1-3 Credits what information is relevant and critique assumptions and models Individual analytical or laboratory studies directed by a faculty member. of others; determine how to test the validity of a model and use May be repeated for a maximum of 6 credits. comparison of experimental data and prediction to refine the model. Prerequisite: consent of instructor. 2. Conceptual understanding: electric or magnetic fields can be Learning Outcomes used to describe interactions of objects that contain charges with 1. Varies their surroundings; changes that occur as a result of interactions are constrained by conservation laws (such as conservation of PHYS 303V. Energy and Society in the New Millennium energy, conservation of charge or conservation of nucleon number); 3 Credits (3) many macroscopic properties of materials can be described using Traditional and alternative sources of energy. Contemporary areas of microscopic models or related to their geometry; electromagnetic concern such as the state of depletion of fossil fuels; nuclear energy, radiation can be modeled as a wave or as fundamental particles solar energy, and other energy sources; environmental effects; nuclear (photons); the direction of propagation of a wave may change when weapons; and health effects of radiation. Discussion of physical it encounters a boundary surface between two media of different principles and impact on society. Focus on scientific questions involved properties (reflection or refraction); the spontaneous radioactive in making decisions in these areas. No physics background required. decay of nuclei is described by probability. PHYS 304. Forensic Physics 3. Quantitative reasoning: apply quantitative analysis and appropriate 4 Credits (3+3P) mathematical reasoning to describe or explain phenomena; use Theories, laboratory, and field techniques in the area of forensic physics. scientific notation accurately and convert units if necessary. 4. Communicating scientific information: interpretor generate graphs or other visual representations (e.g. field lines, equipotential lines) and be able to switch between various representations including text, mathematical description, or diagrams. 6 PHYS-PHYSICS

PHYS 305V. The Search for Water in the Solar System PHYS 350. Special Topics 3 Credits (3) 1-3 Credits Examines the formation, abundance and ubiquity of water in our Solar Lectures, demonstrations, and discussions on such topics as lasers and System stemming from comets, Martian and Lunar poles, Earth's interior holography, energy sources, clouds, and . May be repeated for and into the outer reaches of the Solar System. Topics will include a maximum of 12 credits under different subtitles. nuclear synthesis, Solar System formation, remote sensing, as well as PHYS 380. Individual Study past, present and future NASA missions for water. 1-3 Credits PHYS 315. Individual analytical or laboratory studies directed by a faculty member. 3 Credits (3) May be repeated for a maximum of 6 credits. An introduction to relativity and , with applications Prerequisite: consent of instructor. to atoms molecules, solids, nuclei, and elementary particles. May be PHYS 395. Intermediate Mathematical Methods of Physics repeated up to 3 credits. 3 Credits (3) Prerequisite(s): a C- or better in MATH 2530G and PHYS 2140 or Introduction to the mathematics used in intermediate-level physics PHYS 1320G. courses. Topics include vector calculus, curvilinear coordinates, matrices, PHYS 315 L. Experimental Modern Physics linear algebra, function spaces, partial differential equations, and special 3 Credits (1+6P) functions. This course cannot be used to replace M E 228 or M E 328 for Elementary laboratory in modern physics which supports the subject students majoring in . May be repeated up to 3 credits. matter in PHYS 315. Required for physics majors. May be repeated up to Prerequisite(s)/Corequisite(s): MATH 392. Prerequisite(s): a C- or better 3 credits. in MATH 2530G. Prerequisite(s)/Corequisite(s): PHYS 315. Prerequisite(s): a C- or better in Learning Outcomes PHYS 2140L or 1320L. 1. Problem solving: an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, PHYS 316. Supplemental Instructions to PHYS 315 and mathematics. Ability to learn on your own: an ability to acquire 1 Credit (1) and apply new knowledge as needed, using appropriate learning This optional workshop supplements PHYS 315 "Modern Physics". strategies. Students actively apply concepts and methods introduced in PHYS 315 to problem solving and quantitative analysis. PHYS 400. Undergraduate Research Corequisite(s): PHYS 315. 1-3 Credits PHYS 325. Intermediate Experimental Physics May be repeated for a maximum of 6 credits. 3 Credits (1+6P) Prerequisite: consent of instructor. An exploration of a variety of experimental techniques in physics with PHYS 420. Capstone Project I an emphasis on the proper determination of statistical and systematic 3 Credits (3P) uncertainties. Students will work in teams and prepare professional Application of principles to a significant design written and oral reports of their work. This course cannot be used to project. Includes teamwork, written and oral communication and realistic replace M E 345 for students majoring in engineering. technical, economic and public safety requirements. Prerequisite(s)/Corequisite(s): PHYS 315. Prerequisite(s): a C- or better in PHYS 2140L or PHYS 1320L. PHYS 421. Capstone Project II Learning Outcomes 3 Credits (3P) 1. Design within constraints: an ability to apply engineering design to Continuation of PHYS 420. produce solutions that meet specified needs with consideration of PHYS 450. Selected Topics public health, safety, and welfare, as well as global, cultural, social, 1-3 Credits environmental, and economic factors. Readings, lectures or laboratory studies in selected areas of physics. May 2. Communication: an ability to communicate effectively with a range of be repeated for a maximum of 12 credits. audiences. 3. Ethical and Professional Responsibilities: an ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts. 4. Teamwork: an ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives. 5. Collect, Analyze, and Interpret Data: an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions. PHYS-PHYSICS 7

PHYS 451. Intermediate Mechanics I PHYS 468. Intermediate X-ray Diffraction 3 Credits (3) 3 Credits (3) Newtonian mechanics, including an introduction to the Lagrangian Introduction to x-ray diffraction and reflectivity spectra. Topics include formulation. Topics include central force motion, rigid body motion, X-ray sources and detectors, atomic spectra, characteristic x-rays, noninertial reference frames, oscillating systems, and classical thermionic emission, synchrotron radiation, instrument components, scattering. and beam conditioners. Prerequisite(s): a C- or better in PHYS 315 and Prerequisite(s)/Corequisite(s): MATH 392. Prerequisite(s): a C- or better PHYS 325 in PHYS 2110 or PHYS 1310G, and MATH 2530G. Learning Outcomes Learning Outcomes 1. Knowledge of structural properties of materials Experimental x-ray 1. Set up equations of motion for classical mechanical systems and characterization techniques Presentation and writing skills in the solve them. Identify conserved quantities and understand the discipline Ethics, teamwork, and career opportunities circumstances under which they arise (symmetries); in particular, know how to use conservation of energy, momentum, angular PHYS 471. Modern Experimental Optics momentum to solve problems. Fluently use three-dimensional 3 Credits (1+6P) calculus as a language to do the above; be able to use spherical and Cumulative experience course in optics related to the material presented cylindrical coordinates. Understand the paradigmatic examples of the in PHYS 473 and PHYS 489. harmonic oscillator, central force (in particular, gravitational) motion Prerequisite: a C- or better in PHYS 315 and ( PHYS 315 L or PHYS 325 ). and rigid body motion, which serve as starting points for investigating Learning Outcomes more complicated realistic problems. 1. Design within constraints: an ability to apply engineering design to produce solutions that meet specified needs with consideration PHYS 454. Intermediate Modern Physics I of public health, safety, and welfare, as well as global, cultural, 3 Credits (3) social, environmental, and economic factors. Communication: Introduction to quantum mechanics, focusing on the role of angular an ability to communicate effectively with a range of audiences. momentum and symmetries, with application to many atomic and Ethical and professional responsibilities: an ability to recognize subatomic systems. Specific topics include intrinsic spin, matrix ethical and professional responsibilities in engineering situations representation of wave functions and observables, time evolution, and and make informed judgments, which must consider the impact motion in one dimension. May be repeated up to 3 credits. of engineering solutions in global, economic, environmental, and Prerequisite(s)/Corequisite(s): MATH 392 and PHYS 395. Prerequisite(s): societal contexts. Teamwork: an ability to function effectively a C- or better in PHYS 315. on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, PHYS 455. Intermediate Modern Physics II and meet objectives. Collect, analyze, and interpret data: an ability 3 Credits (3) to develop and conduct appropriate experimentation, analyze and Continuation of subject matter of PHYS 454. Specific topics include interpret data, and use engineering judgment to draw conclusions. rotation and translation in three dimensions, solution of central potential problems, perturbation theory, physics of identical particles, scattering PHYS 475. Advanced Physics Laboratory theory, and the interaction between photons and atoms. May be repeated 3 Credits (3P) up to 3 credits. Cumulative experience course involving experiments in atomic, molecular, Prerequisite(s): a C- or better in PHYS 454, MATH 392, and PHYS 395. nuclear, and condensed-matter physics. PHYS 461. Intermediate Electricity and Magnetism I Prerequisite: a C- or better in PHYS 315 and ( PHYS 315 L or PHYS 325 ). 3 Credits (3) Learning Outcomes The first part of a two-course sequence in classical electrodynamics. 1. Design within constraints: an ability to apply engineering design Covered topics include static electric and magnetic fields, Laplace's and to produce solutions that meet specified needs with consideration Poisson's equations, electromagnetic work and energy, Lorentz force, of public health, safety, and welfare, as well as global, cultural, Gauss's, Biot-Savart, and Ampere's laws, Maxwell's equations, as well as social, environmental, and economic factors. Communication: electric and magnetic fields in matter. May be repeated up to 3 credits. an ability to communicate effectively with a range of audiences. Prerequisite(s)/Corequisite(s): MATH 392 and PHYS 395. Prerequisite(s): Ethical and Professional Responsibilities: an ability to recognize a C- or better in PHYS 2140 or PHYS 1320G or equivalent and a C- or ethical and professional responsibilities in engineering situations better in MATH 2530G. and make informed judgments, which must consider the impact PHYS 462. Intermediate Electricity and Magnetism II of engineering solutions in global, economic, environmental, and 3 Credits (3) societal contexts. Teamwork: an ability to function effectively Continuation of subject matter of PHYS 461. Covered topics include on a team whose members together provide leadership, create a Maxwell's equations and their applications, electromagnetic waves, collaborative and inclusive environment, establish goals, plan tasks, reflection, refraction, dispersion, radiating systems, interference and meet objectives. Collect, Analyze, and Interpret Data: an ability and diffraction, as well as Lorentz transformations and relativistic to develop and conduct appropriate experimentation, analyze and electrodynamics. May be repeated up to 3 credits. interpret data, and use engineering judgment to draw conclusions. Prerequisite(s): a C- or better in PHYS 461, MATH 392, and PHYS 395. 8 PHYS-PHYSICS

PHYS 476. Computational Physics PHYS 488. Introduction to 3 Credits (3) 3 Credits (3) Scientific visualization, numerical differentiation and interpolation, Crystal structure, X-ray diffraction, energy band theory, phonons, cohesive numerical integration, root finding, linear algebra, eigensystems, energy, conductivities, specific heats, p-n junctions, defects, surfaces, and ODE’s, Boundary value problems, PDE’s, Monte-Carlo calculations, data magnetic, optical, and low-temperature properties. description and analysis, Fast Fourier Transforms, and applications Prerequisite: a C- or better in PHYS 315. to advanced physics problems. Recommended is the knowledge of a Learning Outcomes programming language. 1. Learn the fundamental concepts of solid-state physics: classification Prerequisite(s): a C- or better in PHYS 1111 or equivalent and MATH 392. of solids, crystal structure, band structure of solids, lattice vibrations, Learning Outcomes optical and magnetic properties of solids. Develop an ability to 1. learn how to use computers for solving problems in the physical formulate and solve complex problems in solid state physics by sciences, applying the fundamental principles of physics and mathematics. 2. obtain skills to implement numerical simulation and modeling Develop and ability to acquire and apply new knowledge using strategies, appropriate learning strategies. 3. learn how to monitor and analyze data graphically, during and after PHYS 489. Introduction to Modern Materials computation, 3 Credits (3) 4. obtain workflow organization skills needed for the solution of Structure and mechanical, thermal, electric, and magnetic properties complicated systems. of materials. Modern experimental techniques for the study of material properties. PHYS 478. Fundamentals of Prerequisite: a C- or better in PHYS 315. 4 Credits (3+3P) Learning Outcomes Ray, wave and guided optics, lasers and thermal sources, radiometry, 1. Learn the fundamental concepts of the physics of modern materials, photon detection and signal-to-noise ratio. Elements of photonic crystals, such as crystal structure, properties of materials, and experimental polarization, acousto-optics, electro-optics, and optical nanostructures. techniques. Develop an ability to formulate and solve complex Taught with E E 528. Recommended foundation: E E 473 /PHYS 473. problems in the area of physics of modern materials by applying the Crosslisted with: E E 478. principles of physics and mathematics. Develop an ability to acquire Prerequisite: C- or better in PHYS 1320G or PHYS 2120. and apply new knowledge using appropriate learning strategies. Learning Outcomes 1. Understand the fundamentals of the different theories of light PHYS 493. Experimental Nuclear Physics including ray, wave, electromagnetic (vector) and photon optics, 3 Credits (1+6P) and how these theories are represented mathematically and on a Cumulative experience course in nuclear physics such as measurement computer. Develop the ability to perform calculations for the different of radioactivity, absorption of radiation, nuclear spectrometry. theories (e.g., ray tracing, wave interference, polarization calculus, Prerequisite: a C- or better in PHYS 315 and ( PHYS 315L or PHYS 325 ). photon detection) to determine the propagation characteristics Learning Outcomes and describe the manipulation of light. Gain insight and experience 1. Design within constraints: an ability to apply engineering design with materials and devices for manipulating and detecting light to produce solutions that meet specified needs with consideration (e.g., glass, mirrors, lenses, fiber optics, polarization elements, liquid of public health, safety, and welfare, as well as global, cultural, crystals, semiconductors, and photodiodes). Apply the theoretical, social, environmental, and economic factors. Communications: mathematical, and practical understanding of optics to describe real- an ability to communicate effectively with a range of audiences. world applications of light technology with supporting analysis and Ethical and professional responsibilities: an ability to recognize calculations. ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact PHYS 480. Thermodynamics of engineering solutions in global, economic, environmental, and 3 Credits (3) societal contexts. Teamwork: an ability to function effectively Thermodynamics and . Basic concepts of on a team whose members together provide leadership, create a temperature, heat, entropy, equilibrium, reversible and irreversible collaborative and inclusive environment, establish goals, plan tasks, processes. Applications to solids, liquids, and gases. May be repeated up and meet objectives. Collect, analyze, and interpret data: an ability to 3 credits. to develop and conduct appropriate experimentation, analyze and Prerequisite(s): a C- or better in PHYS 2120, PHYS 315, and MATH 2530G. interpret data, and use engineering judgment to draw conclusions. PHYS 485. Independent Study 1-3 Credits Individual analytical or laboratory studies directed by a faculty member. May be repeated for a maximum of 6 credits. Prerequisite: consent of instructor. PHYS-PHYSICS 9

PHYS 495. Mathematical Methods of Physics I PHYS 554. Quantum Mechanics I 3 Credits (3) 3 Credits (3) Applications of mathematics to experimental and . Wave function, indeterminacy, classical limit. Schrodinger equation. Topics include vector analysis, Fourier series and transforms, Green's Atomic and nuclear systems. Angular momentum, intrinsic spin, identical functions, special functions, complex variables, tensor algebra and particles. Scattering theory. Mathematical formalism, symmetry and analysis. conserved quantities. Perturbation theory. Dirac theory, introduction to Prerequisite(s): a C- or better in MATH 392 and PHYS 395. quantized fields. PHYS 451 and PHYS 454 strongly recommended. Learning Outcomes PHYS 555. Quantum Mechanics II 1. Deploy the tools of vector analysis and expansion into complete 3 Credits (3) sets of functions to treat problems arising, e.g., in electrodynamics. Continuation of topics in PHYS 554. Understand the elements of functional analysis underpinning, e.g., Prerequisites: PHYS 554 or consent of instructor. quantum mechanics, such as representations, operators and their inverses and spectra. Evaluate integrals of analytic functions using PHYS 561. Electromagnetic Theory I the calculus of residues. Take advantage of the transformation 3 Credits (3) behavior, under symmetry operations, of representations of physical Detailed advanced treatments of most topics listed under PHYS 461, quantities, by casting physical relations in tensor language. PHYS 462, plus multipole radiation, collisions of charged particles and bremsstrahlung, scattering, and radiation reaction. PHYS 461 and PHYS 500. Special Topics Seminar PHYS 462 strongly recommended. 1-2 Credits PHYS 562. Electromagnetic Theory II Treatment of topics not covered by regular courses. Graded S/U. May be 3 Credits (3) repeated. Continuation of topics in PHYS 561. PHYS 511. Mathematical Methods of Physics I Prerequisites: PHYS 561 or consent of instructor. 3 Credits (3) PHYS 568. Elements of X-ray Diffraction Applications of mathematics to experimental and theoretical physics. 3 Credits (3) Topics include vector analysis, Fourier series and transforms, Green's Same as PHYS 468, but additional work required. Crosslisted with: CHME functions, special functions, complex variables, tensor algebra and 588. analysis. Learning Outcomes PHYS 571. Advanced Experimental Optics 1. Deploy the tools of vector analysis and expansion into complete 3 Credits (3) sets of functions to treat problems arising, e.g., in electrodynamics. Taught with PHYS 471 with additional work required at the graduate level. Understand the elements of functional analysis underpinning, e.g., Consent of Instructor required. quantum mechanics, such as representations, operators and their Prerequisite(s): PHYS 473 or PHYS 562. inverses and spectra. Evaluate integrals of analytic functions using PHYS 575. Advanced Physics Laboratory the calculus of residues. Take advantage of the transformation 3 Credits (3P) behavior, under symmetry operations, of representations of physical Selected experiments in atomic, molecular, nuclear and condensed- quantities, by casting physical relations in tensor language. matter physics. PHYS 576. Advanced Computational Physics I PHYS 520. Selected Topics 3 Credits (3) 1-3 Credits Advanced treatment of topics listed under PHYS 476 plus additional Formal treatment of graduate-level topics not covered in regular courses. work. Applications of numerical methods to advanced physics problems. May be repeated for a maximum of 9 credits. Recommended is the knowledge of a programming language. Prerequisites: graduate standing, consent of instructor, and selection of a Learning Outcomes specific topic prior to registration. 1. learn to numerically solve problems that require higher mathematical PHYS 521. Individual Study and theoretical analysis, 1-3 Credits 2. experience how graduate research will be advanced and accelerated Individual analytical or laboratory studies directed by a faculty member. by the use of scientific computing skills. May be repeated for a maximum of 6 credits. Prerequisites: graduate standing, consent of instructor, and selection of a PHYS 584. Statistical Mechanics specific topic prior to registration. 3 Credits (3) PHYS 551. Classical Mechanics Thermodynamics review. Probability, entropy, equilibrium. Canonical 3 Credits (3) and grand canonical ensembles. Classical and quantum statistics. Lagrangian and Hamiltonian formulation of dynamics. Advanced Degenerate and classical gases. Application to the equilibrium properties treatments of most topics listed under PHYS 451, plus canonical of solids, liquids, and gases. Kinetic theory and transport processes. transformations and Hamilton-Jacobi theory. PHYS 451 strongly recommended. 10 PHYS-PHYSICS

PHYS 588. Condensed Matter Physics PHYS 688. Advanced Condensed Matter Physics 3 Credits (3) 3 Credits (3) Same as PHYS 488, but additional work required. Continuation of the advanced condensed matter physics presented Learning Outcomes in PHYS 588. Topics include electronic structure methods, optical, 1. Learn the fundamental concepts of solid-state physics: classification magnetic, and transport properties of solids, semiconductors, crystalline of solids, crystal structure, band structure of solids, lattice vibrations, defects, nanostructures, and noncrystalline solids. PHYS 588 strongly optical and magnetic properties of solids. Develop an ability to recommended. formulate and solve complex problems in solid state physics by Learning Outcomes applying the fundamental principles of physics and mathematics. 1. Learn the fundamental concepts of advanced condensed state Develop and ability to acquire and apply new knowledge using physics: band theory of solids, electronic structure methods, appropriate learning strategies. optical and magnetic properties of solids, bulk semiconductors, and properties of nano-structured materials. Develop an ability to PHYS 589. Modern Materials formulate and solve complex problems in advanced condensed 3 Credits (3) matter physics. Develop an ability to to study independently and Same as PHYS 489 with differentiated assignments for graduate acquire new knowledge using appropriate learning strategies. students. PHYS 554 recommended. Learning Outcomes PHYS 689. Advanced Modern Materials 1. Learn the fundamental concepts of the physics of modern materials, 3 Credits (3) such as crystal structure, properties of materials, and experimental Advanced topics in the physics of modern materials, such as crystalline, techniques. Develop an ability to formulate and solve complex amorphous, polymeric, nanocrystalline, layered, and composite materials problems in the area of physics of modern materials by applying the and their surfaces and interfaces. PHYS 555, PHYS 588, and PHYS 589 principles of physics and mathematics. Develop an ability to acquire recommended. and apply new knowledge using appropriate learning strategies. Learning Outcomes 1. Learn the fundamental concepts of the physics of modern materials, PHYS 591. Advanced High-Energy Physics I such as crystalline, amorphous, polymeric, nanostructured, layered, 3 Credits (3) and composite materials. Develop an ability to formulate and solve Taught with PHYS 491 with additional work required at the graduate level. complex problems in the area of advanced physics of modern Prerequisite(s): PHYS 555 or consent of instructor. materials. Develop an ability to to study independently and acquire PHYS 593. Advanced Experimental Nuclear Physics new knowledge using appropriate learning strategies. 3 Credits (1+6P) Advanced experimental investigation of topics such as measurement of PHYS 691. I radioactivity, absorption of radiation, and nuclear spectrometry. 3 Credits (3) Path integrals, gauge invariance, relativistic quantum mechanics, PHYS 597. Space Physics canonical quantization, relativistic quantum field theory, introduction to 3 Credits (3) QED. Same as PHYS 497 but with added requirements. Prerequisites: PHYS 555 and PHYS 562, or consent of instructor. PHYS 599. Master's Thesis PHYS 692. Quantum Field Theory II 1-15 Credits (1-15) 3 Credits (3) Thesis. QED, running coupling constant, QCD, electroweak theory, asymptotic PHYS 600. Research freedom, deep inelastic scattering, basic QCD , path 1-15 Credits integrals in quantum field theory, lattice QCD. Doctoral research. May be repeated. Prerequisite: PHYS 691 or consent of instructor. PHYS 620. Advanced Topics in Physics PHYS 700. Doctoral Dissertation 1-3 Credits 1-15 Credits (1-15) Advanced formal treatment of topics not covered in regular courses. May Dissertation. be repeated for a maximum of 9 credits. Prerequisite: consent of instructor. PHYS 650. I 3 Credits (3) Basic foundations and principles of general relativity, derivation of the Einstein field equations and their consequences, the linearized theory, the Bel-Petrov classification of the curvature tensor, derivation of the Schwarzschild solution and the four basic tests of general relativity. Prerequisite(s): PHYS 511 or PHYS 561 or consent of instructor. PHYS 680. Independent Study 1-3 Credits Individual analytical or laboratory studies directed by a faculty member. May be repeated for a maximum of 6 credits. Prerequisite: graduate standing or consent of instructor.