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Academics » Recommended External Courses


We list here external courses which have been taken in the past by various NMSU astronomy graduate students. They have been used to fulfill the out-of-department graduate course requirement of 6 units of 500+ level material in the physical sciences, engineering, or mathematics departments.

Courses marked in blue are on offer for Fall 2008, while those marked in red were available for Spring 2008. Certain Special Topics courses (PHYS520, PHYS620, CS579, GEOL520) may be added at the beginning of the semester - check with the host department for this information.

Physics Department
PHYS461 Intermediate Electricity and Magnetism I (3 credits)
Covers electro-and magneto-statics, dielectric and magnetic materials, DC and AC circuits, electromagnetic wave propagation, reflection, refraction, waveguides, radiating systems, interference and diffraction, Newtonian and relativistic electrodynamics, magnetohydrodynamics and plasma physics.
Prerequisite: PHYS214 or PHYS216 or equivalent.
PHYS462 Intermediate Electricity and Magnetism II (3 credits)
Continuation of topics in PHYS 461.
Prerequisite: PHYS461 or consent of instructor.
PHYS511 Mathematical Methods of Physics I (3 credits)
Applications of mathematics to experimental and theoretical physics. Topics selected from: complex variables; special functions; numerical analysis; Fourier series and transforms, Laplace transforms.
PHYS528 / EE528 Optical Sources, Detectors, and Radiometry (4 credits)
See Electrical Engineering Department listings below.
Note: Typically offered in the Fall; unavailable Fall 2008, but should be offered both Spring and Fall 2009.
PHYS529 / EE529 Lasers and Applications (4 credits)
See Electrical Engineering Department listings below.
PHYS535 Experimental Spectroscopy (2 credits)
Selected experiments in atomic and molecular spectroscopy; visible, UV and IR spectroscopy; laser techniques.
Prerequisite: consent of instructor.
PHYS551 Classical Mechanics (3 credits)
Lagrangian and Hamiltonian formulation of dynamics. Advanced treatments of most topics listed under PHYS451, PHYS452, plus canonical transformations and Hamilton-Jacobi theory.
PHYS451 and PHYS452 strongly recommended.
PHYS554 Quantum Mechanics I (3 credits)
Wave function, indeterminacy, classical limit. Schrodinger equation. Atomic and nuclear systems. Angular momentum, intrinsic spin, identical particles. Scattering theory. Mathematical formalism, symmetry and conserved quantities. Perturbation theory. Dirac theory, introduction to quantized fields.
PHYS452, PHYS454, and PHYS456 strongly recommended.
PHYS555 Quantum Mechanics II (3 credits)
Continuation of topics in PHYS554.
Prerequisites: PHYS554 or consent of instructor.
PHYS560 / GPHYS560 Applied Inverse Theory (3 credits)
Inversion of data with an emphasis on geophysical problems. curve fitting, tomography, earthquake location, overdetermined and underdetermined problems, linear and nonlinear problems.
Prerequisite: either MATH280, equivalent, or consent of instructor. Computing experience desirable.
PHYS561 Electromagnetic Theory I (3 credits)
Detailed advanced treatments of most topics listed under PHYS461, PHYS462, plus multipole radiation, collisions of charged particles and bremsstrahlung, scattering, and radiation reaction.
PHYS461 and PHYS462 strongly recommended.
PHYS562 Electromagnetic Theory II (3 credits)
Continuation of topics in PHYS561.
Prerequisites: PHYS561 or consent of instructor.
PHYS571 / EE591 Experimental Optics (2 credits)
A variety of laboratory exercises for setting up and using optical systems, including grating spectrometers, acousto-optical filters, Fabry-Perot etalons, and multi-slit interferometers. Ideal for understanding the details of optical systems. Students build their own 6-element optical interferometers, and observe the fringes in real time (this takes the mystery out of the VLA).
Prerequisite: consent of instructor. Corequisite: PHYS570.
PHYS576 Advanced Computational Physics I (3 credits)
Applications of numerical methods to complex physical systems. Advanced treatment of finite difference methods, Fourier expansions, Fourier integrals, solution of differential equations, Monte Carlo calculations, and application to advanced physics problems.
Recommended: knowledge of FORTRAN or C, and MATH377 or MATH392.
PHYS577 / EE577 Fourier Methods in Electro-Optics (3 credits)
See Electrical Engineering Department listings below.
PHYS578 / EE578 Electro-Optical Systems (3 credits)
Linear systems theory is applied to the design and analysis of optical and electro-optical systems. Emphasis on basic concepts such as throughput, optical invariants, modulation transfer and point spread or impulse response.
Prerequisite: EE577.
PHYS584 Statistical Mechanics (3 credits)
Thermodynamics review. Probability, entropy, equilibrium. Canonical and grand canonical ensembles. Classical and quantum statistics. Degenerate and classical gases. Application to the equilibrium properties of solids, liquids, and gases. Kinetic theory and transport processes.
PHYS452, PHYS454, and PHYS455 strongly recommended.
PHYS590 Nuclear and Particle Physics (3 credits)
Introduction to nuclei, nuclear reactions, and elementary particles, with applications to astronomy and astrophysics. May include nucleosynthesis, thermonuclear reactions, the major burning phases in stars, and the weak interaction in astrophysics.
Prerequisites: PHYS555 or consent of instructor.
PHYS620 Advanced Topics in Physics - Tensor Analysis (3 credits)
Manipulation of tensors and tensor calculus with some application of tensors. Includes general coordinate transformations.
PHYS620 Advanced Topics in Physics - Black Holes (3 credits)
Application of general relativity to black holes.
Prerequisite: PHYS650 or equivalent.
PHYS620 Advanced Topics in Physics - Relativistic Cosmology (3 credits)
Analysis of cosmological models.
Prerequisite: PHYS650 or equivalent.
PHYS650 General Relativity (3 credits)
Inertial frames and noninertial forces. Tensor calculus, parallel displacement, Riemannian geometry. Geodesic motion. The Einstein field equations and particular exact solutions. Weak field theory. Applications to cosmology and gravitational collapse.
Prerequisite: PHYS551 or equivalent; possibly PHYS620 (Tensor Analysis).
PHYS652 General Relativity III (3 credits)
Inertial frames and noninertial forces. Tensor calculus, parallel displacement, Riemannian geometry. Geodesic motion. The Einstein field equations and particular exact solutions. Weak field theory. Applications to cosmology and gravitational collapse.
Prerequisite: PHYS551 or equivalent; possibly PHYS620 (Tensor Analysis).
Electrical Engineering Department
EE528 / PHYS528 Optical Sources, Detectors, and Radiometry (4 credits)
Fundamentals of optical sources, detectors, and radiometric measurements in the visible and infrared. Radiometry of imaging and nonimaging optical systems, including optical fibers. Detector preamplifiers, noise, NEP, D*, and optical filters.
Corequisite: undergraduate optics course.
Note: Typically offered in the Fall; unavailable Fall 2008, but should be offered both Spring and Fall 2009.
EE529 / PHYS529 Lasers and Applications (4 credits)
Lasers, their construction, operating principles, characteristics, and applications with hands-on experience. Beam propagation in optical fibers.
Prerequisite: C or better in either EE315 or PHYS461.
EE545 Digital Signal Processing (3 credits)
Graduate treatment of discrete-time signals and systems, sampling and reconstruction, z-transforms, transform analysis of linear time-invariant systems, structures for discrete-time systems, filter design techniques, discrete Fourier transform (DFT) and fast Fourier transform (FFT), spectral analysis, and advanced topics.
Prerequisite: EE313.
EE555 Advanced Linear Systems (3 credits)
Advanced level study of linear systems and associated mathematical tools including linear equations, spectral theory, normal matrices, projections, quadratic forms, discrete and continuous time dynamical systems.
Prerequisite: MATH480 or consent of instructor.
EE565 Pattern Recognition (3 credits)
Statistical pattern classification, supervised and unsupervised learning, feature selection and extraction, clustering, image classification and syntactical pattern recognition.
Prerequisite: EE571 or equivalent.
EE571 Random Signal Analysis (3 credits)
Application of probability and random variables to problems in communication systems, analysis of random signal and noise in linear and nonlinear systems.
EE577 / PHYS577 Fourier Methods in Electro-Optics (3 credits)
General harmonic analysis, linear systems theory, convolution and Fourier transformation are applied to one-dimensional and two dimensional signals encountered in electro-optical systems. Applications in diffraction, coherent and noncoherent imaging, optical information processing, and holography.
EE578 / PHYS578 Electro-Optical Systems (3 credits)
See Physics Department listings above.
EE591 / PHYS571 Experimental Optics (2 credits)
See Physics Department listings above.
EE596 Digital Image Processing (3 credits)
Two-dimensional transform theory, color images, image enhancement, restoration, registration, segmentation, compression and understanding.
Prerequisite: EE571 or consent of instructor.
Geology Department
GEOL520 Selected Topics - Isotope Geology (3 credits)
Geochemistry of stable and radiogenic isotopes and its application to a wide range of problems in the earth and planetary sciences.
Prerequisite: consent of instructor.
GEOL553 Applied Geomorphology (3 credits)
Geomorphic concepts applied to human activities that affect landforms.
Prerequisite: consent of instructor.
GEOL562 Analytical Geochemistry (3 credits)
Techniques used to determine the major and trace element composition of rocks and minerals and the determination of mineral structure.
Prerequisite: consent of instructor.
Computer Science Department
Under most circumstances, 400-level CS courses WILL NOT be counted toward the Astronomy MS or PhD degree requirements. They are still worth considering for their programming language content, however, and can be of value both to aid research efforts and to assist with other courses.
CS457 FORTRAN Programming (3 credits)
Programming in the FORTRAN language.
Recommended for nonmajors.
CS467  (also in Fall) C Programming (3 credits)
Programming in the C language.
Recommended for nonmajors.
CS477 C++ Programming (3 credits)
Programming in the C++ language.
Recommended for nonmajors.
CS579 Special Topics - Introduction to Computational Science (3 credits)
More advanced programming techniques, including algorithm designs, numerical methods, databases, and use of parallel processing.


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