Astrophysical Sciences and Technology Ph.D.  Curriculum
Astrophysical Sciences and Technology Ph.D.
Astrophysical Sciences and Technology, Ph.D. degree, typical course sequence
Course  Sem. Cr. Hrs.  

First Year  
ASTP601  Graduate Seminar I This course is the first in a twosemester sequence intended to familiarize students with research activities, practices, and ethics in the university research environment and to introduce students to commonly used research tools. As part of the course, students are expected to attend research seminars sponsored by the Astrophysical Sciences and Technology Program and participate in a weekly journal club. The course also provides training in scientific writing and presentation skills. Credits earned in this course apply to research requirements. (Prerequisites: This course is restricted to students in the ASTPMS and ASTPPHD programs.) Seminar 3 (Fall). 
1 
ASTP602  Graduate Seminar II This course is the second in a twosemester sequence intended to familiarize students with research activities, practices, and ethics in the university research environment and to introduce students to commonly used research tools. As part of the course, students are expected to attend research seminars sponsored by the Astrophysical Sciences and Technology Program and participate in a weekly journal club. The course also provides training in scientific writing and presentation skills. Credits earned in this course apply to research requirements. (Prerequisites: ASTP601 or equivalent course. This course is restricted to students in the ASTPMS and ASTPPHD programs.) Seminar 3 (Spring). 
1 
ASTP608  Fundamental Astrophysics I This course will provide a basic introduction to modern astrophysics, including the topics of radiation fields and matter, star formation and evolution, and stellar structure. This course will provide the physical background needed to interpret both observations and theoretical models in stellar astrophysics and prepare students for more advanced topics and research in astrophysics. (Prerequisites: This course is restricted to students in the ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 
3 
ASTP609  Fundamental Astrophysics II This course will provide a basic introduction to modern astrophysics, following on from Fundamental Astrophysics I. Topics will include basic celestial mechanics and galactic dynamics, the Milky Way and other galaxies, the interstellar medium, active galactic nuclei, galaxy formation and evolution, and an introduction to cosmology. This course will provide the physical background needed to interpret both observations and theoretical models in galactic and extragalactic astrophysics and cosmology and prepare students for more advanced topics and research in astrophysics. (Prerequisites: ASTP608 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP790  Research & Thesis Masterslevel research by the candidate on an appropriate topic as arranged between the candidate and the research advisor. (Enrollment in this course requires permission from the department offering the course.) Thesis (Fall, Spring, Summer). 
4 
Specialty Track Courses 
6  
Second Year  
Choose from the following:  6 

Specialty Track Courses 

Electives 

Specialty Track Courses 
6  
ASTP790  Research & Thesis Masterslevel research by the candidate on an appropriate topic as arranged between the candidate and the research advisor. (Enrollment in this course requires permission from the department offering the course.) Thesis (Fall, Spring, Summer). 
6 
Third Year  
ASTP890  Research & Thesis Dissertation research by the candidate for an appropriate topic as arranged between the candidate and the research advisor. (Enrollment in this course requires permission from the department offering the course.) Thesis (Fall, Spring, Summer). 
8 
Fourth Year  
ASTP890  Research & Thesis Dissertation research by the candidate for an appropriate topic as arranged between the candidate and the research advisor. (Enrollment in this course requires permission from the department offering the course.) Thesis (Fall, Spring, Summer). 
8 
Fifth Year  
ASTP890  Research & Thesis Dissertation research by the candidate for an appropriate topic as arranged between the candidate and the research advisor. (Enrollment in this course requires permission from the department offering the course.) Thesis (Fall, Spring, Summer). 
8 
Total Semester Credit Hours  60 
Specialty Tracks
Astroinformatics
Course  Sem. Cr. Hrs.  

ASTP612  Mathematical and Statistical Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Spring). 
3 
ASTP711  Advanced Statistical Methods for Astrophysics 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: ASTP610 or equivalent course.) Lecture 3 (Fall). 
3 
PHYS616  Data Analysis for the Physical Sciences This course is an introductory graduatelevel 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: PHYS316 or equivalent course or Graduate standing.) Lecture 3 (Biannual). 
3 
Choose one of the following:  3 

ASTP720  Computational Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 

MATH751  High Performance Computing for Mathematical Modeling Students in this course will study highperformance 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 handson computational (programming) assignments. Students will be expected to have a prior understanding of basic techniques for solving mathematical problems numerically. (Prerequisite: MATH602 or equivalent course.) Lecture 3 (Spring). 

Electives 
9 
Gravitational Wave Astronomy
Course  Sem. Cr. Hrs.  

ASTP612  Mathematical and Statistical Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Spring). 
3 
ASTP613  Astronomical Observational Techniques and Instrumentation This course will survey multiwavelength 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 
3 
ASTP660  Introduction to Relativity and Gravitation This course is the first in a twocourse 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 ASTPMS, ASTPPHD, MATHMLPHD and PHYSMS programs.) Lecture 3 (Fall). 
3 
ASTP730  Stellar Atmospheres & Evolution 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 postmain sequence stellar evolution, with emphasis on the physical processes governing stellar accretion, mass loss, and the effects of binary companions on these processes. (Prerequisites: ASTP608 or equivalent course.) Lecture 3 (Spring). 
3 
Choose one of the following:  3 

ASTP740  Galactic Astrophysics 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: ASTP609 or equivalent course.) Lecture 3 (Fall). 

ASTP750  Extragalactic Astrophysics 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: ASTP609 or equivalent course.) Lecture 3 (Spring). 

Elective 
3 
Instrumentation
Course  Sem. Cr. Hrs.  

ASTP613  Astronomical Observational Techniques and Instrumentation This course will survey multiwavelength 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 
3 
PHYS616  Data Analysis for the Physical Sciences This course is an introductory graduatelevel 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: PHYS316 or equivalent course or Graduate standing.) Lecture 3 (Biannual). 
3 
IMGS616  Fourier Methods for Imaging 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 IMGSMS or IMGSPHD programs.) Lecture 3 (Fall). 
3 
Electives 
9 
Numerical Relativity
Course  Sem. Cr. Hrs.  

ASTP612  Mathematical and Statistical Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Spring). 
3 
ASTP618  Fundamentals of Theoretical Astrophysics I This course will provide students with an indepth 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: ASTP608 or equivalent course.) Lecture 3 (Fall). 
3 
ASTP619  Fundamentals of Theoretical Astrophysics II This course will provide students with the indepth 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: ASTP608 and ASTP618 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP660  Introduction to Relativity and Gravitation This course is the first in a twocourse 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 ASTPMS, ASTPPHD, MATHMLPHD and PHYSMS programs.) Lecture 3 (Fall). 
3 
ASTP861  Advanced Relativity and Gravitation This course is the second in a twocourse 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 blackhole physics, blackhole 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: ASTP660 or equivalent course.) Lecture 3 (Spring). 
3 
Choose one of the following:  3 

ASTP720  Computational Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 

MATH751  High Performance Computing for Mathematical Modeling Students in this course will study highperformance 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 handson computational (programming) assignments. Students will be expected to have a prior understanding of basic techniques for solving mathematical problems numerically. (Prerequisite: MATH602 or equivalent course.) Lecture 3 (Spring). 

Optional Electives 
3 
Observational Astrophysics
Course  Sem. Cr. Hrs.  

ASTP613  Astronomical Observational Techniques and Instrumentation This course will survey multiwavelength 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 
3 
ASTP730  Stellar Atmospheres & Evolution 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 postmain sequence stellar evolution, with emphasis on the physical processes governing stellar accretion, mass loss, and the effects of binary companions on these processes. (Prerequisites: ASTP608 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP740  Galactic Astrophysics 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: ASTP609 or equivalent course.) Lecture 3 (Fall). 
3 
ASTP750  Extragalactic Astrophysics 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: ASTP609 or equivalent course.) Lecture 3 (Spring). 
3 
Electives 
6 
Theoretical Astrophysics
Course  Sem. Cr. Hrs.  

ASTP612  Mathematical and Statistical Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Spring). 
3 
ASTP618  Fundamentals of Theoretical Astrophysics I This course will provide students with an indepth 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: ASTP608 or equivalent course.) Lecture 3 (Fall). 
3 
ASTP619  Fundamentals of Theoretical Astrophysics II This course will provide students with the indepth 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: ASTP608 and ASTP618 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP851  Cosmology 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: ASTP609 or equivalent course.) Lecture 3 (Spring). 
3 
Electives 
6 
Electives
Course  Sem. Cr. Hrs.  

ASTP612  Mathematical and Statistical Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Spring). 
3 
ASTP613  Astronomical Observational Techniques and Instrumentation This course will survey multiwavelength 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 
3 
ASTP618  Fundamentals of Theoretical Astrophysics I This course will provide students with an indepth 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: ASTP608 or equivalent course.) Lecture 3 (Fall). 
3 
ASTP619  Fundamentals of Theoretical Astrophysics II This course will provide students with the indepth 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: ASTP608 and ASTP618 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP660  Introduction to Relativity and Gravitation This course is the first in a twocourse 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 ASTPMS, ASTPPHD, MATHMLPHD and PHYSMS programs.) Lecture 3 (Fall). 
3 
ASTP711  Advanced Statistical Methods for Astrophysics 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: ASTP610 or equivalent course.) Lecture 3 (Fall). 
3 
ASTP720  Computational Methods for Astrophysics 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 ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 
3 
ASTP730  Stellar Atmospheres & Evolution 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 postmain sequence stellar evolution, with emphasis on the physical processes governing stellar accretion, mass loss, and the effects of binary companions on these processes. (Prerequisites: ASTP608 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP740  Galactic Astrophysics 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: ASTP609 or equivalent course.) Lecture 3 (Fall). 
3 
ASTP750  Extragalactic Astrophysics 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: ASTP609 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP835  HighEnergy Astrophysics This course will survey violent astrophysical phenomena including supernovae, compact stellar remnants, Xray binaries, gamma ray bursts, and supermassive black holes in active galactic nuclei. It will examine physical processes associated with the emission of highenergy radiation, production of highenergy particles, accretion discs around compact objects, and production and propagation of astrophysical jets. It will review current models for the sources of highenergy phenomena. (Prerequisite: ASTP609 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP841  The Interstellar Medium 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 lowdensity astrophysical gases observed throughout the universe. Topics may include HII regions, planetary nebulae, HI clouds, molecular clouds, photodissociation regions, supernova remnants, and multiphase models of the interstellar medium. (Prerequisite: ASTP609 or equivalent course.) Lecture 3 (Fall). 
3 
ASTP851  Cosmology 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: ASTP609 or equivalent course.) Lecture 3 (Spring). 
3 
ASTP861  Advanced Relativity and Gravitation This course is the second in a twocourse 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 blackhole physics, blackhole 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: ASTP660 or equivalent course.) Lecture 3 (Spring). 
3 
EEEE610  Analog Electronics Design This is a foundation course in analog integrated circuit design and is a prerequisite for the graduate courses in RF & mixedsignal IC design (EEEE726 and EEEE730). The course covers the following topics: (1) Review of CMOS technology, MOSFET models and Frequency Response (2) Singlestage amplifiers (3) Current mirrors and biasing (4) Current and voltage references (5) Differential amplifiers (6) Cascoding (7) Feedback and Stability (8) OTAs (9) Matching and layout techniques (10) Multistage opamps (11) Noise Analysis (12) Linearity in analog circuits (13) Switchedcap circuits. (Prerequisites: EEEE480 or equivalent course or graduate standing in EEEEMS.) Lab 2, Lecture 3 (Fall). 
3 
IMGS628  Design and Fabrication of Solid State Cameras The purpose of this course is to provide the student with handson 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). 
3 
IMGS639  Principles of Solid State Imaging Arrays 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). 
3 
IMGS642  Testing of Focal Plane Arrays 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 handson 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). 
3 
MATH602  Numerical Analysis I This course covers numerical techniques for the solution of nonlinear equations, interpolation, differentiation, integration, and matrix algebra. (Prerequisites: MATH411 or equivalent course and graduate standing.) Lecture 3 (Fall). 
3 
MATH751  Highperformance Computing for Mathematical Modeling Students in this course will study highperformance 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 handson computational (programming) assignments. Students will be expected to have a prior understanding of basic techniques for solving mathematical problems numerically. (Prerequisite: MATH602 or equivalent course.) Lecture 3 (Spring). 
3 
PHYS611  Classical Electrodynamics I This course is a systematic treatment of electro and magnetostatics, 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: PHYS412 or equivalent course or Graduate standing.) Lecture 3 (Fall). 
3 
PHYS612  Classical Electrodynamics II 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: PHYS611 or equivalent course.) Lecture 3 (Spring). 
3 
PHYS614  Quantum Theory 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 timeindependent and timedependent 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 PHYSMS, ASTPMS and ASTPPHD programs.) Lecture 3 (Fall). 
3 