Astrophysical Sciences and Technology Ph.D. - Curriculum

This course provides an introduction to the applied mathematical and statistical tools used frequently in astrophysics including modeling, data reduction, analysis, and computational astrophysics. Topics will include Special Functions, Differential Equations, Probability and Statistics, and Frequency Domain Analysis. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Spring).

This is an advanced course in statistical inference and data analysis for the astrophysical sciences. Topics include Bayesian and frequentist methods of parameter estimation, model selection and evaluation using astrophysical data. Specific applications, such parameter estimation from gravitational wave signals, or analysis of large data sets from imaging, spectroscopic or time domain surveys will be discussed. Computational methods including Markov Chain Monte Carlo, with other topics such as machine learning, and time series analysis included at the discretion of the instructor. (Prerequisite: ASTP-610 or equivalent course.) Lecture 3 (Fall).

This course is an introductory graduate-level overview of techniques in and applications of data analysis in physics and related fields. Topics examined include noise and probability, model fitting and hypothesis testing, signal processing, Fourier methods, and advanced computation and simulation techniques. Applications are drawn from across the contemporary physical sciences, including soft matter, solid state, biophysics, and materials science. The subjects covered also have applications for students of astronomy, signal processing, scientific computation, and others. (Prerequisites: PHYS-316 or equivalent course or Graduate standing.) Lecture 3 (Biannual).

This course surveys the different ways that scientists use computers to address problems in astrophysics. The course will choose several common problems in astrophysics; for each one, it will provide an introduction to the problem, review the literature for recent examples, and illustrate the basic mathematical technique. In each of these segments, students will write their own code in an appropriate language. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).

Students in this course will study high-performance computing as a tool for solving problems related to mathematical modeling. Two primary objectives will be to gain experience in understanding the advantages and limitations of different hardware and software options for a diverse array of modeling approaches and to develop a library of example codes. The course will include extensive hands-on computational (programming) assignments. Students will be expected to have a prior understanding of basic techniques for solving mathematical problems numerically. (Prerequisite: MATH-602 or equivalent course.) Lecture 3 (Spring).

This course provides an introduction to the applied mathematical and statistical tools used frequently in astrophysics including modeling, data reduction, analysis, and computational astrophysics. Topics will include Special Functions, Differential Equations, Probability and Statistics, and Frequency Domain Analysis. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Spring).

This course will survey multi-wavelength astronomical observing techniques and instrumentation. The design characteristics and function of telescopes, detectors, and instrumentation in use at the major ground based and space based observatories will be discussed as will common observing techniques such as imaging, photometry and spectroscopy. The principles of cosmic ray, neutrino, and gravitational wave astronomy will also be briefly reviewed. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).

This course is the first in a two-course sequence that introduces Einstein’s theory of General Relativity as a tool in modern astrophysics. The course will cover various aspects of both Special and General Relativity, with applications to situations in which strong gravitational fields play a critical role, such as black holes and gravitational radiation. Topics include differential geometry, curved spacetime, gravitational waves, and the Schwarzschild black hole. The target audience is graduate students in the astrophysics, physics, and mathematical modeling (geometry and gravitation) programs. (This course is restricted to students in the ASTP-MS, ASTP-PHD, MATHML-PHD and PHYS-MS programs.) Lecture 3 (Fall).

An overview of the physical principles and observational phenomenology describing stellar atmospheres and stellar evolution. Topics covered include: atmospheric temperature structure and line formation; atmosphere models and spectral type determination; observational (spectral) diagnostics of stellar masses, abundances, ages and evolutionary states; and a survey of contemporary topics in star formation and pre- and post-main sequence stellar evolution, with emphasis on the physical processes governing stellar accretion, mass loss, and the effects of binary companions on these processes. (Prerequisites: ASTP-608 or equivalent course.) Lecture 3 (Spring).

This course surveys our current knowledge of the Milky Way galaxy, and the processes that shape its structure and evolution. Topics will include the structure and kinematics of the Milky Way; stellar populations; theory of orbits; Jean’s theorem and equilibrium of stellar systems; the virial theorem; the Jean’s equations; gravitational instabilities; tidal interactions; the central black hole; the Local Group and chemical evolution. (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Fall).

This course will survey multi-wavelength astronomical observing techniques and instrumentation. The design characteristics and function of telescopes, detectors, and instrumentation in use at the major ground based and space based observatories will be discussed as will common observing techniques such as imaging, photometry and spectroscopy. The principles of cosmic ray, neutrino, and gravitational wave astronomy will also be briefly reviewed. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).

This course is an introductory graduate-level overview of techniques in and applications of data analysis in physics and related fields. Topics examined include noise and probability, model fitting and hypothesis testing, signal processing, Fourier methods, and advanced computation and simulation techniques. Applications are drawn from across the contemporary physical sciences, including soft matter, solid state, biophysics, and materials science. The subjects covered also have applications for students of astronomy, signal processing, scientific computation, and others. (Prerequisites: PHYS-316 or equivalent course or Graduate standing.) Lecture 3 (Biannual).

This course develops the mathematical methods required to describe continuous and discrete linear systems, with special emphasis on tasks required in the analysis or synthesis of imaging systems. The classification of systems as linear/nonlinear and shift variant/invariant, development and use of the convolution integral, Fourier methods as applied to the analysis of linear systems. The physical meaning and interpretation of transform methods are emphasized. (This class is restricted to graduate students in the IMGS-MS or IMGS-PHD programs.) Lecture 3 (Fall).

This course provides an introduction to the applied mathematical and statistical tools used frequently in astrophysics including modeling, data reduction, analysis, and computational astrophysics. Topics will include Special Functions, Differential Equations, Probability and Statistics, and Frequency Domain Analysis. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Spring).

This course will provide students with an in-depth theoretical background on those astrophysical phenomena where matter and electromagnetic fields play a major role. This includes stellar cores, relativistic plasmas, accretion physics, and jet production. Topics will include elements of electromagnetism, classical and relativistic fluids, magnetohydrodynamics, and radiation. (Prerequisites: ASTP-608 or equivalent course.) Lecture 3 (Fall).

This course will provide students with the in-depth background on Classical, Statistical, and Nuclear physics required for modeling many astrophysical systems. Particular attention is paid to topics related to the physics of stellar remnants (e.g., white dwarfs, neutron stars, and black holes) and the physics of compact object mergers. (Prerequisites: ASTP-608 and ASTP-618 or equivalent course.) Lecture 3 (Spring).

This course is the first in a two-course sequence that introduces Einstein’s theory of General Relativity as a tool in modern astrophysics. The course will cover various aspects of both Special and General Relativity, with applications to situations in which strong gravitational fields play a critical role, such as black holes and gravitational radiation. Topics include differential geometry, curved spacetime, gravitational waves, and the Schwarzschild black hole. The target audience is graduate students in the astrophysics, physics, and mathematical modeling (geometry and gravitation) programs. (This course is restricted to students in the ASTP-MS, ASTP-PHD, MATHML-PHD and PHYS-MS programs.) Lecture 3 (Fall).

This course is the second in a two-course sequence that introduces Einstein’s theory of General Relativity as a tool in modern astrophysics. The course will cover various aspects of General Relativity, with applications to situations in which strong gravitational fields play a critical role, such as black holes and gravitational radiation. Topics include advanced differential geometry, generic black holes, energy production in black-hole physics, black-hole dynamics, neutron stars, and methods for solving the Einstein equations. The target audience is graduate students in the astrophysics, physics, and mathematical modeling (geometry and gravitation) programs. (Prerequisite: ASTP-660 or equivalent course.) Lecture 3 (Spring).

This course surveys the different ways that scientists use computers to address problems in astrophysics. The course will choose several common problems in astrophysics; for each one, it will provide an introduction to the problem, review the literature for recent examples, and illustrate the basic mathematical technique. In each of these segments, students will write their own code in an appropriate language. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).

Students in this course will study high-performance computing as a tool for solving problems related to mathematical modeling. Two primary objectives will be to gain experience in understanding the advantages and limitations of different hardware and software options for a diverse array of modeling approaches and to develop a library of example codes. The course will include extensive hands-on computational (programming) assignments. Students will be expected to have a prior understanding of basic techniques for solving mathematical problems numerically. (Prerequisite: MATH-602 or equivalent course.) Lecture 3 (Spring).

This course will survey multi-wavelength astronomical observing techniques and instrumentation. The design characteristics and function of telescopes, detectors, and instrumentation in use at the major ground based and space based observatories will be discussed as will common observing techniques such as imaging, photometry and spectroscopy. The principles of cosmic ray, neutrino, and gravitational wave astronomy will also be briefly reviewed. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).

An overview of the physical principles and observational phenomenology describing stellar atmospheres and stellar evolution. Topics covered include: atmospheric temperature structure and line formation; atmosphere models and spectral type determination; observational (spectral) diagnostics of stellar masses, abundances, ages and evolutionary states; and a survey of contemporary topics in star formation and pre- and post-main sequence stellar evolution, with emphasis on the physical processes governing stellar accretion, mass loss, and the effects of binary companions on these processes. (Prerequisites: ASTP-608 or equivalent course.) Lecture 3 (Spring).

This course surveys our current knowledge of the Milky Way galaxy, and the processes that shape its structure and evolution. Topics will include the structure and kinematics of the Milky Way; stellar populations; theory of orbits; Jean’s theorem and equilibrium of stellar systems; the virial theorem; the Jean’s equations; gravitational instabilities; tidal interactions; the central black hole; the Local Group and chemical evolution. (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Fall).

This course will cover objects in the universe beyond our own Milky Way galaxy, with an emphasis on the observational evidence. Topics will include properties of ordinary and active galaxies; galaxy clusters; the extragalactic distance scale; evidence for dark matter; cosmological models with and without the cosmological constant (Lambda). (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Spring).

This course provides an introduction to the applied mathematical and statistical tools used frequently in astrophysics including modeling, data reduction, analysis, and computational astrophysics. Topics will include Special Functions, Differential Equations, Probability and Statistics, and Frequency Domain Analysis. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Spring).

This course will provide students with an in-depth theoretical background on those astrophysical phenomena where matter and electromagnetic fields play a major role. This includes stellar cores, relativistic plasmas, accretion physics, and jet production. Topics will include elements of electromagnetism, classical and relativistic fluids, magnetohydrodynamics, and radiation. (Prerequisites: ASTP-608 or equivalent course.) Lecture 3 (Fall).

This course will provide students with the in-depth background on Classical, Statistical, and Nuclear physics required for modeling many astrophysical systems. Particular attention is paid to topics related to the physics of stellar remnants (e.g., white dwarfs, neutron stars, and black holes) and the physics of compact object mergers. (Prerequisites: ASTP-608 and ASTP-618 or equivalent course.) Lecture 3 (Spring).

This course will cover the evolution of the universe from the big bang to the present, with an emphasis on the synergy between theory and observations. Topics will fall under three general headings: classical and relativistic cosmology, the early universe, and structure formation. (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Spring).

This course provides an introduction to the applied mathematical and statistical tools used frequently in astrophysics including modeling, data reduction, analysis, and computational astrophysics. Topics will include Special Functions, Differential Equations, Probability and Statistics, and Frequency Domain Analysis. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Spring).

This course will survey multi-wavelength astronomical observing techniques and instrumentation. The design characteristics and function of telescopes, detectors, and instrumentation in use at the major ground based and space based observatories will be discussed as will common observing techniques such as imaging, photometry and spectroscopy. The principles of cosmic ray, neutrino, and gravitational wave astronomy will also be briefly reviewed. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).

This course will provide students with an in-depth theoretical background on those astrophysical phenomena where matter and electromagnetic fields play a major role. This includes stellar cores, relativistic plasmas, accretion physics, and jet production. Topics will include elements of electromagnetism, classical and relativistic fluids, magnetohydrodynamics, and radiation. (Prerequisites: ASTP-608 or equivalent course.) Lecture 3 (Fall).

This course will provide students with the in-depth background on Classical, Statistical, and Nuclear physics required for modeling many astrophysical systems. Particular attention is paid to topics related to the physics of stellar remnants (e.g., white dwarfs, neutron stars, and black holes) and the physics of compact object mergers. (Prerequisites: ASTP-608 and ASTP-618 or equivalent course.) Lecture 3 (Spring).

This course is the first in a two-course sequence that introduces Einstein’s theory of General Relativity as a tool in modern astrophysics. The course will cover various aspects of both Special and General Relativity, with applications to situations in which strong gravitational fields play a critical role, such as black holes and gravitational radiation. Topics include differential geometry, curved spacetime, gravitational waves, and the Schwarzschild black hole. The target audience is graduate students in the astrophysics, physics, and mathematical modeling (geometry and gravitation) programs. (This course is restricted to students in the ASTP-MS, ASTP-PHD, MATHML-PHD and PHYS-MS programs.) Lecture 3 (Fall).

This is an advanced course in statistical inference and data analysis for the astrophysical sciences. Topics include Bayesian and frequentist methods of parameter estimation, model selection and evaluation using astrophysical data. Specific applications, such parameter estimation from gravitational wave signals, or analysis of large data sets from imaging, spectroscopic or time domain surveys will be discussed. Computational methods including Markov Chain Monte Carlo, with other topics such as machine learning, and time series analysis included at the discretion of the instructor. (Prerequisite: ASTP-610 or equivalent course.) Lecture 3 (Fall).

This course surveys the different ways that scientists use computers to address problems in astrophysics. The course will choose several common problems in astrophysics; for each one, it will provide an introduction to the problem, review the literature for recent examples, and illustrate the basic mathematical technique. In each of these segments, students will write their own code in an appropriate language. (Prerequisites: This course is restricted to students in the ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).

An overview of the physical principles and observational phenomenology describing stellar atmospheres and stellar evolution. Topics covered include: atmospheric temperature structure and line formation; atmosphere models and spectral type determination; observational (spectral) diagnostics of stellar masses, abundances, ages and evolutionary states; and a survey of contemporary topics in star formation and pre- and post-main sequence stellar evolution, with emphasis on the physical processes governing stellar accretion, mass loss, and the effects of binary companions on these processes. (Prerequisites: ASTP-608 or equivalent course.) Lecture 3 (Spring).

This course surveys our current knowledge of the Milky Way galaxy, and the processes that shape its structure and evolution. Topics will include the structure and kinematics of the Milky Way; stellar populations; theory of orbits; Jean’s theorem and equilibrium of stellar systems; the virial theorem; the Jean’s equations; gravitational instabilities; tidal interactions; the central black hole; the Local Group and chemical evolution. (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Fall).

This course will cover objects in the universe beyond our own Milky Way galaxy, with an emphasis on the observational evidence. Topics will include properties of ordinary and active galaxies; galaxy clusters; the extragalactic distance scale; evidence for dark matter; cosmological models with and without the cosmological constant (Lambda). (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Spring).

This course will survey violent astrophysical phenomena including supernovae, compact stellar remnants, X-ray binaries, gamma ray bursts, and supermassive black holes in active galactic nuclei. It will examine physical processes associated with the emission of high-energy radiation, production of high-energy particles, accretion discs around compact objects, and production and propagation of astrophysical jets. It will review current models for the sources of high-energy phenomena. (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Spring).

This course provides a detailed overview of the physical processes and properties of the interstellar medium in our Galaxy and other galaxies. The course explores the fundamental physical basis of the observed properties of low-density astrophysical gases observed throughout the universe. Topics may include HII regions, planetary nebulae, HI clouds, molecular clouds, photodissociation regions, supernova remnants, and multi-phase models of the interstellar medium. (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Fall).

This course will cover the evolution of the universe from the big bang to the present, with an emphasis on the synergy between theory and observations. Topics will fall under three general headings: classical and relativistic cosmology, the early universe, and structure formation. (Prerequisite: ASTP-609 or equivalent course.) Lecture 3 (Spring).

This course is the second in a two-course sequence that introduces Einstein’s theory of General Relativity as a tool in modern astrophysics. The course will cover various aspects of General Relativity, with applications to situations in which strong gravitational fields play a critical role, such as black holes and gravitational radiation. Topics include advanced differential geometry, generic black holes, energy production in black-hole physics, black-hole dynamics, neutron stars, and methods for solving the Einstein equations. The target audience is graduate students in the astrophysics, physics, and mathematical modeling (geometry and gravitation) programs. (Prerequisite: ASTP-660 or equivalent course.) Lecture 3 (Spring).

This is a foundation course in analog integrated electronic circuit design and is a perquisite for the graduate courses in analog integrated circuit design EEEE-726 and EEEE-730. The course covers the following topics: (1)CMOS Technology (2) CMOS active and passive element models (3) Noise mechanisms and circuit noise analysis (4) Current mirrors (5) Differential amplifiers, cascade amplifiers (6) Multistage amps and common mode feedback (7) Stability analysis of feedback amplifiers; (8) Advanced current mirrors, amplifiers, and comparators (9) Band gap and translinear cells (10) Matching. (Prerequisites: EEEE-480 or equivalent course or graduate standing in EEEE-MS.) Lecture 3 (Fall).

The purpose of this course is to provide the student with hands-on experience in building a CCD camera. The course provides the basics of CCD operation including an overview, CCD clocking, analog output circuitry, cooling, and evaluation criteria. (This course is restricted to students with graduate standing in the College of Science or the Kate Gleason College of Engineering or Graduate Computing and Information Sciences.) Lab 6, Lecture 1 (Fall).

This course covers the basics of solid state physics, electrical engineering, linear systems and imaging needed to understand modern focal plane array design and use. The course emphasizes knowledge of the working of CMOS and infrared arrays. (This course is restricted to students with graduate standing in the College of Science or the Kate Gleason College of Engineering or Graduate Computing and Information Sciences.) Lecture 3 (Fall).

This course is an introduction to the techniques used for the testing of solid state imaging detectors such as CCDs, CMOS and Infrared Arrays. Focal plane array users in industry, government and university need to ensure that key operating parameters for such devices either fall within an operating range or that the limitation to the performance is understood. This is a hands-on course where the students will measure the performance parameters of a particular camera in detail. (This course is restricted to students with graduate standing in the College of Science or the Kate Gleason College of Engineering or Graduate Computing and Information Sciences.) Lab 6, Lecture 1 (Spring).

This course covers numerical techniques for the solution of nonlinear equations, interpolation, differentiation, integration, and matrix algebra. (Prerequisites: MATH-411 or equivalent course and graduate standing.) Lecture 3 (Fall).

Students in this course will study high-performance computing as a tool for solving problems related to mathematical modeling. Two primary objectives will be to gain experience in understanding the advantages and limitations of different hardware and software options for a diverse array of modeling approaches and to develop a library of example codes. The course will include extensive hands-on computational (programming) assignments. Students will be expected to have a prior understanding of basic techniques for solving mathematical problems numerically. (Prerequisite: MATH-602 or equivalent course.) Lecture 3 (Spring).

This course is a systematic treatment of electro- and magneto-statics, charges, currents, fields and potentials, dielectrics and magnetic materials, Maxwell's equations and electromagnetic waves. Field theory is treated in terms of scalar and vector potentials. Wave solutions of Maxwell's equations, the behavior of electromagnetic waves at interfaces, guided electromagnetic waves, and simple radiating systems will be covered. (Prerequisites: PHYS-412 or equivalent course or Graduate standing.) Lecture 3 (Fall).

This course is an advanced treatment of electrodynamics and radiation. Classical scattering theory including Mie scattering, Rayleigh scattering, and the Born approximation will be covered. Relativistic electrodynamics will be applied to charged particles in electromagnetic fields and magnetohydrodynamics. (Prerequisites: PHYS-611 or equivalent course.) Lecture 3 (Spring).

This course is a graduate level introduction to the modern formulation of quantum mechanics. Topics include Hilbert space, Dirac notation, quantum dynamics, Feynman’s formulation, representation theory, angular momentum, identical particles, approximation methods including time-independent and time-dependent perturbation theory. The course will emphasize the underlying algebraic structure of the theory with an emphasis on current applications. (Prerequisites: This course is restricted to students in the PHYS-MS, ASTP-MS and ASTP-PHD programs.) Lecture 3 (Fall).