AS.171-173 (Physics & Astronomy)

First semester of a two-semester sequence in calculus-based general physics. In this term, the topics covered include the basic principles of classical mechanics and fluids as well as an introduction to wave motion. Midterm exams for every section are given during the 8 AM section time! Accordingly, students registering for sections at times other than 8 AM must retain availability for 8 AM sections as needed. Recommended Co-requisite: AS.110.108 or AS.110.113 AND AS.173.111

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Second Semester of a two-semester sequences in calculus-based general physics. In this term, the topics covered include wave motion, electricity and magnetism, optics and modern physics. Midterm exams for every section are given during the 8AM section time! Accordingly, students registering for sections at times other than 8AM must retain availability for the 8AM sections as needed.

Prerequisite(s): Prerequisites: A grade of C- or better in either Physics I or the first semester of Engineering Mechanics AS.171.101 OR AS.171.103 OR AS.171.105 OR AS.171.107 OR EN.530.123

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

First-semester of two-semester sequence in calculus-based general physics, tailored to students majoring in one of the biological sciences. In this term, the topics covered include the basic principles of classical mechanics and fluids as well as an introduction to wave motion. Recommended Corequisites: (AS.173.111) AND (AS.110.106 or AS.110.108 or AS.110.113).Midterm exams are given at 8am Tuesdays, so students must leave their schedules open at this time in order to be able to take these exams

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Second semester of a two-semester sequence designed to present a standard calculus-based physics preparation tailored to students majoring in one of the biological sciences. Topics in electricity & magnetism, optics, and modern physics will be covered in this semester. Midterm exams for every section are given during the 8 AM section time!Accordingly, students registering for sections at times other than 8 AM must retain availability for 8 AM sections as needed. Recommended Course Background: C- or better in AS.171.101 or AS.171.103 or AS.171.105 or AS.171.107 or EN.530.123; Corequisites: AS.110.109, AS173.112.

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

An in-depth introduction to classical mechanics intended for physics majors/minors and other students with a strong interest in physics. This course treats fewer topics than AS.171.101 and AS.171.103 but with greater mathematical sophistication. It is particularly recommended for students who intend to take AS.171.201 or AS.171.310. Recommended Co-requisites: AS.173.115 and AS.110.108

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Classical electricity and magnetism with fewer topics than 171.102-104, but with greater mathematical sophistication. Particularly recommended for students who plan to take AS.171.201-AS.171.204. Recommended Course Background: C- or better in AS.171.105; Corequisite: AS.173.116, AS.110.109

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Rather than being presented via lectures and discussion sections, it is instead taught in an "active learning" style with most class time given to small group problem-solving guided by instructors. In this term, the topics covered include the basic principles of classical mechanics and fluids as well as an introduction to wave motion. Midterm exams for every section are given during the 8 AM section time! Accordingly, students registering for sections at times other than 8 AM must retain availability for 8 AM sections as needed.

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Second semester of a two-semester sequence in calculus-based general physics identical in subject matter to AS.171.101-AS.171.102, covering mechanics, heat, sound, electricity and magnetism, optics, and modern physics, but differs in instructional format. Rather than being presented via lectures and discussion sections, it is instead taught in an "active learning" style with most class time given to small group problem-solving guided by instructors. Recommended Course Background: A grade of C- or better in either Physics I or the first semester of Engineering Mechanics (AS.171.101 OR AS.171.103 OR AS.171.105 OR AS.171.107 OR EN.530.123)

Prerequisite(s): Can be taken concurrently or as a prerequisite: (AS.110.107 OR AS.110.109 OR AS.110.211 OR AS.110.113)

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Introduction to concepts of physics of the subatomic world: Symmetries, relativity, quanta, neutrinos, particles, and fields. Emphasis on ideas of modern physics, not on the mathematics. Intended for nonscience majors.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

This course offers a broad overview of the fundamental ideas of modern physics: mechanics, space, time, relativity, quantum mechanics, and quantum field theory, up to general relativity and the Standard Model of particle physics. The course will be descriptive but equation-based, including explicit details about the foundational equations of the theories discussed. The goal will be to understand the meaning of those equations and the concepts they represent, rather than to gain facility in manipulating and solving the equations. This course is aimed at non-physics majors

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

This course looks at the evolution of the universe from its origin in a cosmic explosion to emergence of life on Earth and possibly other planets throughout the universe. Topics include big-bang cosmology; origin and evolution of galaxies, stars, planets, life, and intelligence; black holes; quasars; and relativity theory. The material is largely descriptive, based on insights from physics, astronomy, geology, chemistry, biology, and anthropology.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Through a mix of lectures and hands-on activities, you will learn how astronomers study objects in space using different types of light, observatories, and instrumental techniques. You will also hear from active researchers about the big, open questions in astronomy and how we use space telescopes such as Hubble and Webb to answer those questions. Building on this knowledge, you will work with a small group to design your own space telescope and present that design to your peers. No prior knowledge of astronomy, physics, or mathematics is assumed.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Course continues introductory physics sequence (begins with AS.171.105-AS.171.106). Special theory of relativity, forced and damped oscillators, Fourier analysis, wave equation, reflection and transmission, diffraction and interference, dispersion. Meets with AS.171.207.

Prerequisite(s): Click here to access the Laboratory Safety Introductory Course;Students may take AS.110.202 OR AS.110.211 prior to enrolling in AS.171.201 or at the same time as AS.171.201.;(AS.171.106 OR AS.171.108 OR AS.171.102 OR AS.171.104) AND (AS.110.107 OR AS.110.109 OR AS.110.113)

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Principles of Newtonian and Lagrangian mechanics; application to central-force motion, rigid body motion, and the theory of small oscillations. Recommended Course Background: AS.110.108 and AS.110.109, AS.110.202, AS.171.201, or AS.171.309. AS.110.201 or equivalent is strongly recommended.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

The class will provide an overview of data science, with an introduction to basic statistical principles, databases, fundamentals of algorithms and data structures, followed by practical problems in data analytics. Recommend Course Background: Familiarity with principles of computing.

Distribution Area: Natural Sciences, Quantitative and Mathematical Sciences

AS Foundational Abilities: Science and Data (FA2)

Static electric and magnetic fields in free space and matter; boundary value problems; electromagnetic induction; Maxwell’s equations; and an introduction to electrodynamics.

Prerequisite(s): ( AS.171.102 OR AS.171.104 OR AS.171.106 OR AS.171.108 ) AND Calculus III ( AS.110.202 OR AS.110.211 ) AND Linear Algebra ( AS.110.201 OR AS.110.212 )

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2), Ethics and Foundations (FA5)

Fundamental aspects of quantum mechanics. Uncertainty relations, Schrodinger equation in one and three dimensions, tunneling, harmonic oscillator, angular momentum, hydrogen atom, spin, Pauli principle, perturbation theory (time-independent and time-dependent), transition probabilities and selection rules, atomic structure, scattering theory. Recommended Course Background: AS.110.302 or AS.110.306.

Prerequisite(s): (AS.171.204 ) AND ( AS.110.201 OR AS.110.212 ) AND ( AS.110.202 OR AS.110.211 )

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2), Ethics and Foundations (FA5)

Fundamental aspects of quantum mechanics. Uncertainty relations, Schrodinger equation in one and three dimensions, tunneling, harmonic oscillator, angular momentum, hydrogen atom, spin, Pauli principle, perturbation theory, transition probabilities and selection rules, atomic structure, scattering theory. Recommended Course Background: AS.171.303, AS.171.202, AS.171.204, AS.110.202.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Usage of computational tools is essential in modern physics; this course seeks to introduce toolsfor practical use in physics coursework and research. This course will focus on two popular tools,Mathematica and Python. Mathematica is a powerful mathematic pseudo coding language, ideal for use in complex physics problems with analytic solutions. Python is a traditional coding language with a wide range of applications. In the context of this course, it will be used to solve numerical problems in physics and visualize complex problems. Python will be coded using Jupyter Notebooks, a simple, interactive application for python development. An introduction to data science methods and an introduction to machine learning in python will also be given. Special emphasis will be placed on teaching when these tools are useful to students so that they may quickly recognize how they can use them outside of the classroom.

Prerequisite(s): (AS.171.102 OR AS.171.104 OR AS.171.106 OR AS.171.108) AND (AS.110.202 OR AS.110.211)

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Introduces topics of classical statistical mechanics. Additional topics include low-Reynolds number hydrodynamics and E&M of ionic solutions, via biologically relevant examples.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Undergraduate course that develops the laws and general theorems of thermodynamics from a statistical framework.

Prerequisite(s): Calculus II ( AS.110.107 or AS.110.109 or AS.110.113 ). Linear Algebra (AS.110.201 or AS.110.212) and Calculus III (AS.110.202 or AS.110.211)

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2), Ethics and Foundations (FA5)

Survey of stellar astrophysics. Topics include stellar atmospheres, stellar interiors, nucleosynthesis, stellar evolution, supernovae, white dwarfs, neutron stars, pulsars, black holes, binary stars, accretion disks, protostars, and extrasolar planetary systems. Recommended Course Background: AS.110.108-AS.110.109, AS.171.202

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

This course will introduce student to the physics of galaxies and their constituents: stars, gas, dust, dark matter and a supermassive black hole in the central regions.Recommended Course Background: AS.110.108-AS.110.109, AS.171.202

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Topics include space astronomy, remote observing of the earth, space physics, planetary exploration, human space flight, space environment, orbits, propulsion, spacecraft design, attitude control and communication. Crosslisted by Departments of Earth and Planetary Sciences, Materials Science and Engineering and Mechanical Engineering. Recommended Course Background: AS.171.101-AS.171.102 or similar; AS.110.108-AS.110.109.

Distribution Area: Engineering, Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Science and Data (FA2), Projects and Methods (FA6)

Writing Intensive

We live in a data-rich world where the flux of information increases exponentially. We will learn how to think statistically and see patterns and structure in many systems around us: news reports, images, cities, social networks, etc. We will learn how to use this knowledge to analyze data, make decisions and predictions. We will explore correlations, patterns, entropy, fractals. This course will allow students to better understand the complex world we live in. The course will occasionally involve some coding. Junior, senior and graduate students only. More at https://bit.ly/3iJ90ps

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

This is an advanced course discussing mainstream and frontier topics in the five areas of: 1. Cosmology and galaxy, star, black hole and planet formation. 2. Discussions on the astrophysics of (exo-)planets including atmospheres and biosignatures. 3. The search for life in the Universe, space missions, and planetary protection. 4. The hazards of space flight and how to overcome them. 5. Life in the Universe and significant existential questions for life’s continuance over the vast timeline of the Universe.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Writing Intensive

This course will provide a basic introduction to quantum computing and quantum algorithms. It will cover celebrated quantum algorithms that are of interest in the long term in addition to having a particular focus on near-term quantum algorithms for specific applications (e.g., material simulation and approximate optimization) that can be readily studied on currently available hardware. Lastly, we will discuss critical techniques for managing noise in quantum systems (e.g., quantum error correction). Course attendees will also receive hands-on experience in near-term quantum algorithm implementation on the IBM Quantum Experience (IBM QE), a publicly available quantum computing platform.Recommended Background : Calculus, Python (Basic), Linear Algebra, Basic Quantum Mechanics

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Undergraduate course covering basic concepts of condensed matter physics: crystal structure, diffraction and reciprocal lattices, electronic and optical properties, band structure, phonons, superconductivity and magnetism. Co-listed with AS.171.621Recommended Course Background: AS.171.304, AS.110.201-AS.110.202.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Classical physics approaches to condensed matter. Topics include broken symmetries, phase transitions, elasticity, topological defects, and (as time permits) dynamics, as applied to systems including crystals, liquid crystals, ferromagnets, superfluids, and superconductors.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

This course provides a comprehensive introduction to nuclear and particle physics, with a focus on both fundamental principles and experimental methods. We begin by exploring nuclear structure, decay processes, and reactions before transitioning to particle physics, covering the Standard Model, symmetries, conservation laws, and the properties of fundamental particles. Theoretical concepts will be closely tied to experimental techniques, including particle beams, target systems, detector electronics, and various particle detection methods. Key experiments will be examined to highlight the connection between theory and discovery.

Distribution Area: Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Science and Data (FA2), Projects and Methods (FA6)

This course provides an overview of modern physical cosmology. Topics covered include: the contents, shape, and history of the universe; the big bang theory; dark matter; dark energy; the cosmic microwave background; Hubble's law; the Friedmann equation; and inflation. Recommended Course Background: (AS.171.101-AS.171.102), or (AS.171.103-AS.171.104), or (AS.171.105-AS.171.106), or (AS.171.107-AS.171.108), or equivalent.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Topics in applied mathematics used by physicists, covering numerical methods: linear problems, numerical integration, pseudo-random numbers, finding roots of nonlinear equations, function minimization, eigenvalue problems, fast Fourier transforms, solution of both ordinary and partial differential equations.

Distribution Area: Natural Sciences, Quantitative and Mathematical Sciences

AS Foundational Abilities: Science and Data (FA2)

Course is intended to give broad perspective on many aspects of modern physics: Astrophysics, Condensed Matter Physics, Particle Physics, Biological Physics.

Prerequisite(s): AS.171.303 AND AS.171.301 AND AS.171.312

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Introduction to finite and Lie groups, representations and applications to quantum mechanics, condensed matter physics, and other fields of physics; selected topics from differential geometry and algebraic topology.Recommended Prerequisite: AS.171.304

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

The two-state quantum system; atomic structure; atoms in electric and magnetic fields; single-photon transitions; two-photon transitions and coherence. Recommended Course Background: AS.171.303, AS.171.304.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Quantum description of light; non-classical optical states and squeezing; atom-photon interactions; optical Bloch equations and open-system dynamics; experimental methods of atomic and optical physics. Recommended Course Background: AS.171.303, AS.171.304. Note that Atomic and Optical Physics I (AS.171.432/632) is not a pre-requisite for this course.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

This course focuses on the use of radio waves and radio telescopes for cosmic observation. It covers the basics of radio astronomy, antennas and interferometers, radio emission mechanisms from a few interesting astronomical systems, data analysis, and imaging techniques. Examples on how to design, propose, and analyze radio observations are also provided.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

An advanced undergraduate-level introduction to the properties of the solar system, the known exoplanet systems, and the astrophysics of planet formation and evolution. Topics also include the fundamentals of star formation, protoplanetary disk structure and evolution, exoplanet detection techniques, and the status of the search for other Earths in the Galaxy.

Prerequisite(s): Students who have already taken, or are currently enrolled in AS.171.644, are not eligible to take AS.171.444.;AS.171.204

Distribution Area: Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Projects and Methods (FA6)

This course is for both graduate students and undergraduate students. There is no prerequisite although reading for introductory texts will be supplied where useful. Postdocs are also welcome to attend. Topics that will be discussed include: 1.Gravitational Wave Astronomy (related to cosmic plasmas),2. Ultra-High Energy Cosmic Rays,3. Black Hole Electrodynamics, 4.the Intergalactic, Interstellar and Intra-Cluster Medium, 5.Pulsars, 6.Magnetars, 7.Stellar and Galactic Dynamos,8.Solar Flares and CMEs, 9.Gamma Ray Bursts, 10.Supernovae and their Remnants, 11. Radio Sources and Jets and, 12. the universal cosmic plasma from earliest times13.Finally the detailed dusty plasmas around protostellar and protoplanetary disks including debris components of comets, asteroids planetesimals and interstellar intruders. We will spend roughly one week on each topic. In class, we will combine the lectures with reading interesting new papers from the current literature and it is expected that students will be sufficiently fluent in this field by the end of the semester to critically discuss and analyze such papers as experts.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Students may register for independent research with a faculty member in the Department of Physics and Astronomy. A research plan should be sent to the Director of Undergraduate Study before the add/drop date that includes project details, the number of hours of effort each week and the number of credits. This course may not be used for one of the two electives required for a BA, but one semester of research may be used as one of four focused electives in a BS program.

Prerequisite(s): You must request Customized Academic Learning using the Customized Academic Learning form found in Student Self-Service: Registration > Online Forms.

AS Foundational Abilities: Science and Data (FA2), Projects and Methods (FA6)

Research done in senior year in conjunction with experimental equipment of intermediate laboratory or as special project in research group. Credit for independent study given to junior and senior students who act as tutors.

Prerequisite(s): You must request Customized Academic Learning using the Customized Academic Learning form found in Student Self-Service: Registration > Online Forms.

AS Foundational Abilities: Science and Data (FA2), Projects and Methods (FA6)

Preparation of a substantial thesis based upon independent student research, supervised by at least one faculty member in Physics and Astronomy.

Prerequisite(s): You must request Customized Academic Learning using the Customized Academic Learning form found in Student Self-Service: Registration > Online Forms.

AS Foundational Abilities: Science and Data (FA2), Projects and Methods (FA6)

Writing Intensive

Prerequisite(s): You must request Customized Academic Learning using the Customized Academic Learning form found in Student Self-Service: Registration > Online Forms.

Distribution Area: Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Science and Data (FA2), Projects and Methods (FA6)

Writing Intensive

Prerequisite(s): You must request Customized Academic Learning using the Customized Academic Learning form found in Student Self-Service: Registration > Online Forms.

AS Foundational Abilities: Science and Data (FA2), Projects and Methods (FA6)

This course will provide a basic introduction to quantum computing and quantum algorithms. It will cover celebrated quantum algorithms that are of interest in the long term in addition to having a particular focus on near-term quantum algorithms for specific applications (e.g., material simulation and approximate optimization) that can be readily studied on currently available hardware. Lastly, we will discuss critical techniques for managing noise in quantum systems (e.g., quantum error correction). Course attendees will also receive hands-on experience in near-term quantum algorithm implementation on the IBM Quantum Experience (IBM QE), a publicly available quantum computing platform.

Distribution Area: Natural Sciences

Classical field theory, relativistic dynamics, Maxwell's equations with static and dynamic applications, boundary-value problems, radiation and propagation of electromagnetic waves, advanced topics in electrodynamics in media and plasmas

Review of wave mechanics and the Schrodinger equation, Hilbert space, harmonic oscillator, the WKB approximation, central forces and angular momentum, scattering, electron spin, density matrix, perturbation theory (time-independent and time-dependent), quantized radiation field, absorption and emission of radiation, identical particles, second quantization, Dirac equation.

Review of wave mechanics and the Schrodinger equation, Hilbert space, harmonic oscillator, the WKB approximation, central forces and angular momentum, scattering, electron spin, density matrix, perturbation theory (time -independent and time - dependent), quantized radiation field, absorption and emission of radiation, identical particles, second quantization, Dirac equation. Recommended Course Background: AS.171.303 and AS.171.304

Topics in applied mathematics used by physicists, covering numerical methods: linear problems, numerical integration, pseudo-random numbers, finding roots of nonlinear equations, function minimization, eigenvalue problems, fast Fourier transforms, solution of both ordinary and partial differential equations. Undergraduate students may register online for this course and will be assigned 3 credits during the add/drop period.

Basic physics of stellar structure and evolution will be discussed with emphasis on current research.

The interstellar medium (ISM) is the reservoir of gas and dust between stars that serves as the nursery of new stars and planets. This course will give an overview of the often extreme physics and chemistry of the ISM under its observed range of temperatures, densities, and radiation fields. It will cover the processes that govern the interactions between the ISM, stars, and their host galaxies, including star and planet formation, and feedback from stellar death. The observational methods and results that underpin the theories of interstellar environments will be highlighted.

A one-term survey of the processes that generate radiation of astrophysical importance. Topics include radiative transfer, the theory of radiation fields, polarization and Stokes parameters, radiation from accelerating charges, bremsstrahlung, synchrotron radiation, thermal dust emission, Compton scattering, properties of plasmas, atomic and molecular quantum transitions, and applications to astrophysical observations.

How do we observe the Universe at each wavelength and what do we see? This course will present the knowledge required for astronomical observations across the entire spectrum. For each wavelength range (gamma rays, X-rays, UV, visible, IR, radio) we will discuss the typeof detector used, the range of possible observations and current open questions. We will also discuss the dominant astronomical and terrestrial sources across the spectrum, and study the differences between ground- and space-based observations.

This sequence is intended for graduate students in physics and related fields. Topics include: metals and insulators, diffraction and crystallography, phonons, electrons in a periodic potential, transport. Co-listed with AS.171.405

This sequence is intended for graduate students in physics and related fields. Classical physics approaches to condensed matter. Topics include broken symmetries, phase transitions, elasticity, topological defects, and (as time permits) dynamics, as applied to systems including crystals, liquid crystals, ferromagnets, superfluids, and superconductors.

This course provides a comprehensive introduction to nuclear and particle physics, with a focus on both fundamental principles and experimental methods. We begin by exploring nuclear structure, decay processes, and reactions before transitioning to particle physics, covering the Standard Model, symmetries, conservation laws, and the properties of fundamental particles. Theoretical concepts will be closely tied to experimental techniques, including particle beams, target systems, detector electronics, and various particle detection methods. Key experiments will be examined to highlight the connection between theory and discovery.

This is a graduate course that covers the fundamentals of galaxy formation, galactic structure and stellar dynamics, and includes topics in current research.

Distribution Area: Natural Sciences

The two-state quantum system; atomic structure; atoms in electric and magnetic fields; single-photon transitions; two-photon transitions and coherence.

Quantum description of light; non-classical optical states and squeezing; atom-photon interactions; optical Bloch equations and open-system dynamics; experimental methods of atomic and optical physics. Recommended Course Background: AS.171.303, AS.171.304. Note that Atomic and Optical Physics I (AS.171.432/632) is not a pre-requisite for this course.

This course focuses on the use of radio waves and radio telescopes for cosmic observation. It covers the basics of radio astronomy, antennas and interferometers, radio emission mechanisms from a few interesting astronomical systems, data analysis, and imaging techniques. Examples on how to design, propose, and analyze radio observations are also provided.

Distribution Area: Natural Sciences

Introduction to finite and Lie groups, representations and applications to quantum mechanics, condensed matter physics, and other fields of physics; selected topics from differential geometry and algebraic topology.

Distribution Area: Natural Sciences

A graduate-level introduction to the properties of the solar system, the known exoplanet systems, and the astrophysics of planet formation and evolution. Topics also include the fundamentals of star formation, protoplanetary disk structure and evolution, exoplanet detection techniques, and the status of the search for other Earths in the Galaxy.

An introduction to the physics of general relativity. Principal topics are: physics in curved spacetimes; the Equivalence Principle; the Einstein Field Equations; the post-Newtonian approximation and Solar System tests; the Schwarzschild and Kerr solutions of the Field Equations and properties of black holes; Friedmann solutions and cosmology; and gravitational wave propagation and generation.

Distribution Area: Natural Sciences

Cells are actively-driven soft materials – but also efficient sensors and information processors. This course will cover the physics of those cellular functions, from the mechanics of DNA to the sensing of chemical signals. Questions answered include: How does polymer physics limit how quickly chromosomes move? Why do cells use long, thin flagella to swim? What limits the accuracy of a cell’s chemotaxis?Some experience with partial differential equations required. No biology knowledge beyond the high school level necessary. Some problem sets will require minimal programming.

Distribution Area: Natural Sciences

This course is for both graduate students and undergraduate students. There is no prerequisite although reading for introductory texts will be supplied where useful. Postdocs are also welcome to attend. Topics that will be discussed include: 1.Gravitational Wave Astronomy (related to cosmic plasmas),2. Ultra-High Energy Cosmic Rays,3. Black Hole Electrodynamics, 4.the Intergalactic, Interstellar and Intra-Cluster Medium, 5.Pulsars, 6.Magnetars, 7.Stellar and Galactic Dynamos,8.Solar Flares and CMEs, 9.Gamma Ray Bursts, 10.Supernovae and their Remnants, 11. Radio Sources and Jets and, 12. the universal cosmic plasma from earliest times13.Finally the detailed dusty plasmas around protostellar and protoplanetary disks including debris components of comets, asteroids planetesimals and interstellar intruders. We will spend roughly one week on each topic. In class, we will combine the lectures with reading interesting new papers from the current literature and it is expected that students will be sufficiently fluent in this field by the end of the semester to critically discuss and analyze such papers as experts.

Distribution Area: Natural Sciences

This course presents quantitative models of biological systems rooted in statistical mechanics and polymer theory. Core topics include Brownian motion and Langevin dynamics; reaction-diffusion and pattern formation; first-passage processes; polymer physics and phase separation; and machine-learning applications in biology. Students will learn analytical theory, numerical algorithms, and coarse-grained simulations to address problems in quantitative biology.Prerequisites: Calculus; Linear Algebra; Differential Equations; Statistical Mechanics; basic proficiency in Python or MATLAB.

Distribution Area: Natural Sciences

This is an advanced course discussing mainstream and frontier topics in the five areas of: 1. Cosmology and galaxy, star, black hole and planet formation. 2. Discussions on the astrophysics of (exo-)planets including atmospheres, non-equilibrium atmospheres and biosignatures. 3.Future missions including the Habitable Worlds Observatory. 4. The hazards of space flight and how to overcome them 5. Significant existential questions for life’s continuance over the vast timeline of the Universe.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Introduction to relativistic quantum mechanics and quantum field theory. Canonical quantization; scalar, spinor, and vector fields; scattering theory; renormalization; functional integration; spontaneous symmetry breaking; Standard Model of particle physics.

Introduction to relativistic quantum mechanics and quantum field theory. Recommended Course Background: AS.171.605-AS.171.606 or equivalent.

Brief review of basic statistical mechanics and thermodynamics. Then hydrodynamic theory is derived from statistical mechanics and classical treatments of phase transitions, including Ginzburg-Landau theory.

The identification of the nature of dark matter is one of the most important problems confronting particle physics. Current observational constraints permit the mass of the dark matter to range from ~10-22~10-22 eV - 10481048 GeV. Given the weak nature of these bounds and the ease with which dark matter models can be constructed, it is clear that the problem can only be solved experimentally. In these lectures, I discuss a wide range of dark matter candidates such weakly interacting massive particles, axions and ultra-heavy dark matter objects. The lectures will cover theoretical motivations for these dark matter candidates, observational constraints on these candidates and the technologies necessary to probe them.

Distribution Area: Natural Sciences

In September 2015—one hundred years after Einstein predicted their existence—gravitational waves were directly detected for the first time by the LIGO/Virgo collaboration. This groundbreaking observation, from the merger of two black holes, marked the dawn of gravitational-wave astronomy. Just two years later, in 2017, a spectacular multi-messenger event followed: gravitational waves and electromagnetic radiation across the spectrum were observed from the collision of two neutron stars. This course offers a concise introduction to the theory of gravitational waves, surveys the key astrophysical and cosmological sources of gravitational radiation, and explores how present and future detectors can be used to probe the universe. We will also examine the fundamentals of gravitational-wave data analysis and the strategies for coordinating electromagnetic follow-up observations.

Distribution Area: Natural Sciences

Description TBA

This course will address advanced graduate-level concepts in atomic and--especially--molecular physics, with a focus on the quantum mechanics of diatomic molecules, plus topics of current research interest. The course will be conducted in a seminar format, with occasional lectures mixed in with extensive student presentations of homework problems and solutions, and whole-class discussions. Topics will be modified according to student interests. Topics may include: molecular electronic structure; calculation of molecular matrix elements; laser cooling of molecules; derivation of scaling properties and selection rules for tests of fundamental symmetries with atoms and molecules; ultracold scattering of atoms and molecules; etc.

Distribution Area: Natural Sciences

This course provides a foundation for understanding frontier research in quantum magnetism. We shall review interesting collective magnetic phenomena in real materials with a focus on topics and materials under active investigation. Pertinent experimental methods and results will be reviewed along with potential applications. Starting from basic theories of magnetic moments and their interactions in insulators and metals, theoretical methods to describe and understand quantum magnetism in a variety of solids will be discussed. Recommended Pre-reqs: Condensed Matter Physics AS.171.621-622

Distribution Area: Natural Sciences

Neural networks have changed the ways we interact with data and think about statistics. For scientists, it is important to understand the fundamental concepts behind these systems, why they work, what their potential and limitations are. This course will open the black box of neural networks and address some of the theoretical foundations of Machine Learning. It will include aspects of statistics in high dimensions, information theory, optimization, architectures, as well as concepts from neuroscience. We will alternate between theory and applications in python. More at https://bit.ly/3LEAg7D

Distribution Area: Natural Sciences

Review of special relativity and an introduction to general relativity, Robertson-Walker metric, and Friedmann equation and solutions. Key transitions in the thermal evolution of the universe, including big bang nucleosynthesis, recombination, and reionization. The early universe (inflation), dark energy, dark matter, and the cosmic microwave background. Development of density perturbations, galaxy formation, and large-scale structure.

Black holes are the central engines for a wide variety of astrophysical objects: Galactic X-ray sources, active galactic nuclei, gamma-ray bursts, stellar tidal disruptions, and black hole mergers. Although the mass distribution of astrophysical black holes spans ten orders of magnitude and their circumstances can vary tremendously, the physical processes relevant to them are often closely related. The class will begin with an overview of astrophysical black hole phenomenology and then review the most important physical mechanisms responsible for their observed properties: relativistic orbits for both matter and photons; accretion dynamics and radiation; relativistic jet launching, propagation, and radiation; binary black hole dynamics and gravitational wave emission; and lastly, black hole creation.

A course for advanced undergraduate and beginning graduate students covering the principles of optics and image formation using Fourier Transforms, and a discussion of interferometry and other applications both in radio and optical astronomy.

This course will be a survey of modern techniques in experimental condensed matter physics and is intended for graduate students interested in this area, but others interested in this topic (especially condensed matter the- ory students) are encouraged to enroll. Topics include low temperature techniques, transport, the SQUID and other magnetic probes, digital and analog signal processing, scattering (neutron, X-ray, and light), EPR, NMR, data analysis, and Monte Carlo. Sample preparation, including crystal and film growth and lithography will also be covered.

The overwhelming evidence that dark matter exists and that it is not part of the fundamental theory of matter (the standard model) suggests the need for a graduate course. I will cover what is known and not known about dark matter, being specific enough to open lines of inquiry. I will cover what the rules of quantum field theory would allow it to be and how it could interact with us. I will go over possible mechanisms that explain the generation of dark matter in our universe in the first place. In addition, I will go over the ways to potentially discover (interact with) it directly.The first half or more of the course should be mostly accessible to advanced graduate students in astrophysics and high-energy particle experimentalists. The last half/third will be more field-theory oriented

Distribution Area: Natural Sciences

Distribution Area: Natural Sciences

Independent Research

Independent Research

This seminar exposes physics majors to a broad variety of contemporary experimental and theoretical issues in the field. Students read and discuss reviews from the current literature, and are expected to make an oral or written presentation. Recommended Course Background: AS.171.101-AS.171.102, AS.171.103-AS.171.104, AS.171.105-AS.171.106 or AS.171.107-AS.171.108.

Distribution Area: Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Science and Data (FA2)

Writing Intensive

Survey of the basic concepts, ideas, and areas of research in astrophysics, discussing general astrophysical topics while highlighting specialized terms often used compared to physics.

Experiments performed in the lab provide further illustration of the principles discussed in General Physics I. Students are required to take this course concurrently with General Physics I (AS.171.101 OR AS.171.103 OR AS.171.105 OR AS.171.107) unless they already have received credit for one of the mentioned courses. Note: First and second terms must be taken in sequence.

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Experiments are chosen from both physical and biological sciences and are designed to give students background in experimental techniques as well as to reinforce physical principles. Recommended Course Background: AS.173.111

Prerequisite(s): Click here to access the Laboratory Safety Introductory Course;The following courses can be taken concurrently or as a prerequisite: AS171.102 OR AS.171.104 OR AS.171.106 OR AS.171.108 OR EN.530.123

Distribution Area: Natural Sciences

AS Foundational Abilities: Science and Data (FA2)

Experiments chosen to complement the lecture course Classical Mechanics I, II AS.171.105-AS.171.106 and introduce students to experimental techniques and statistical analysis. Corequisite: AS.171.105.

Distribution Area: Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Science and Data (FA2)

Writing Intensive

Experiments chosen to complement Electricity and Magnetism AS.171.106 and introduce students to experimental techniques and statistical analysis.

Prerequisite(s): Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter ASEN in the Search Box to access the proper course. Click here to access the Laboratory Safety Introductory Course

Distribution Area: Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Science and Data (FA2)

Writing Intensive

A broad exposure to modern laboratory procedures such as holography, chaos, and atomic, molecular, and particle physics.

Prerequisite(s): Students must have completed Lab Safety training prior to registering for this class. To access the tutorial, login to myLearning and enter ASEN in the Search Box to access the proper course. Click here to access the Laboratory Safety Introductory Course

Distribution Area: Natural Sciences

AS Foundational Abilities: Writing and Communication (FA1), Science and Data (FA2), Projects and Methods (FA6)

Writing Intensive