
Term V  Course #  Course Name  Lecture  Lab  Study  Credit 

HUM  Humanities  3  0  6  3  PEP 332  Math Methods for PhysicsVector and tensor fields and transformation properties under rotation of axes, vector identities, gradient, divergence, curl, tensor contraction, geometric interpretation of symmetric and antisymmetric tensors, divergenceGauss' theorem for tensor fields and Stokes' theorem, Helmholtz' theorem, and scalar and vector potentials. Applications to inertia tensor, particle mechanics, transport, electromagnetism (Maxwell's equations), and viscous fluid dynamics (the NavierStokes equation, Euler equation, and the Bernoulli equation). Introduction to the Dirac deltafunction and Green’s function technique for solving linear inhomogeneous equations. Orthogonal curvilinear coordinates (general, also spherical, and cylindrical). Ndimensional complex space and unitarity, matrix notation, inverse of matrix, Pauli spin matrices, relativity, and Lorentz transformation. Tensors and pseudotensors in ndimensions. Similarity transformations and diagonalization of Hermitian and unitary matrices, eigenvectors, and eigenvalues of Hermitian and unitary matrices, and Schmidt orthogonalization. Applications to coupled oscillators, rigid body dynamics, etc. Linear independence and completeness. Functions of a complex variable, analyticity, Cauchy’s theorem, Residue theorem, Taylor and Laurent expansions, classification of singularities, analytic continuation, Liouville’s theorem, multiplevalued functions, contour integration, Jordan’s lemma, applications, and asymptotics. Fall Semester. Close  3  0  6  3  PEP 538  Introduction to MechanicsParticle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations. Prerequisites:MA 221Differential Equations (408)
(LectureLabStudy Hours) Ordinary differential equations of first and second order, homogeneous and nonhomogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundaryvalue problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Close 
Close  3  0  0  3  PEP 397  SKIL III Continuation and extension of SKIL II to more complex projects. Projects may include research participation in well defined research projects. Prerequisites:PEP 298SKIL II (134)
(LectureLabStudy Hours) Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, normal modes. Lagrange's equations, applications to simple systems. Introduction to moment of inertia tensor and to Hamilton's equations Close 
Close  1  6  0  3  E 243  Probability and Statistics for EngineersDescriptive statistics, pictorial and tabular methods, measures of location and of variability, sample space and events, probability and independence, Bayes' formula, discrete random variables, densities and moments, normal, gamma, exponential and Weibull distributions, distribution of the sum and average of random samples, the central limit theorem, confidence intervals for the mean and the variance, hypothesis testing and pvalues, applications for prediction in a regression model. A statistical computer package is used throughout the course for teaching and for project assignments. Prerequisites:MA 116Calculus II (408)
(LectureLabStudy Hours) Continues from MA 115 with improper integrals, infinite series, Taylor series, and Taylor polynomials. Vectors operations in 3space, mathematical descriptions of lines and planes, and singlevariable calculus for parametric curves. Introduction to calculus for functions of two or more variables including graphical representations, partial derivatives, the gradient vector, directional derivatives, applications to optimization, and double integrals in rectangular and polar coordinates. Close 
Close  3  0  6  3  T.E.  Technical Elective (1)  3  0  3  3   Total  16  6  21  18 
 Term VI  Course #  Course Name  Lecture  Lab  Study  Credit 

PEP 542  ElectromagnetismElectrostatics; CoulombGauss law; PoissonLaplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory. Prerequisites:MA 221Differential Equations (408)
(LectureLabStudy Hours) Ordinary differential equations of first and second order, homogeneous and nonhomogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundaryvalue problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Close 
Close  3  0  6  3  PEP 509  Intermediate Waves and OpticsThe general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester. Prerequisites:PEP 542Electromagnetism (306)
(LectureLabStudy Hours) Electrostatics; CoulombGauss law; PoissonLaplace equations; boundary value problems; image techniques;dielectric media; magnetostatics; multipole expansion; electromagnetic energy; electromagnetic induction; Maxwell’s equations; electromagnetic waves, radiation, waves in bounded regions, wave equations and retarded solutions; simple dipole antenna radiation theory; transformation law of electromagnetic fields. Spring semester. Typical text: Reitz, Milford and Christy, Foundation of Electromagnetic Theory. Close 
Close  3  0  6  3  PEP 398  SKIL IVThis course is designed to make students comfortable with the handling and use of various optical components, instruments, techniques,and applications. Included will be the characterization of lens, wavefront division and multiple beam interferometry, partial coherence, spectrophotometry,coherent propogation, and properties of optical fibers. Spring term. Prerequisites:PEP 397, SKIL III (160)
(LectureLabStudy Hours) Continuation and extension of SKIL II to more complex projects. Projects may include research participation in well defined research projects.
Close 
PEP 509Intermediate Waves and Optics (306)
(LectureLabStudy Hours) The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester. Close 
Close  1  6  5  3  HUM  Humanities  3  0  6  3  MGT 243 OR MGT 244  MacroeconomicsThe forces which govern the overall performance of the national economy are covered. Areas discussed include: supply and demand analysis, national income theory, monetary systems, alternative approaches to economic policy, current macroeconomic problems, and international economies. Close OR MicroeconomicsThe focus of this course is on the behavior of and interactions between individual participants in the economic system. In addition to providing a theoretical basis for the analysis of these economic questions, the course also develops applications of these theories to a number of current problems. Topics include: the nature of economic decisions, the theory of market processes, models of imperfect competition, public policy towards competition, the allocation of factors of production, discrimination, poverty and earnings, and energy. Close  3  0  3  3   Total  13  6  26  15 
 Term VII  Course #  Course Name  Lecture  Lab  Study  Credit 

HUM  Humanities  3  0  6  3  PEP 553  Quantum Mechanics and Engineering Applications This course is meant to serve as an introduction to formal quantum mechanics as well as to apply the basic formalism to several generic and important applications. Prerequisites:MA 221, Differential Equations (408)
(LectureLabStudy Hours) Ordinary differential equations of first and second order, homogeneous and nonhomogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundaryvalue problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Close 
PEP 242Modern Physics (306)
(LectureLabStudy Hours)
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; waveparticle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the np junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester. Close 
Close  3  0  6  3  PEP 510  Modern Optics LabThe course is designed to familiarize students with a range of optical instruments and their applications. Included will be the measurement of aberrations in optical systems, thinfilm properties, Fourier transform imaging systems, nonlinear optics, and laser beam dynamics. Fall term. This course may sometimes be offered in the spring term if space
Prerequisites:PEP 509Intermediate Waves and Optics (306)
(LectureLabStudy Hours) The general study of field phenomena; scalar and vector fields and waves; dispersion phase and group velocity; interference, diffraction and polarization; coherence and correlation; geometric and physical optics. Typical text: Hecht and Zajac, Optics. Spring semester. Close 
Close  3  0  0  3  PEP 577  Laser Theory and DesignAn introductory course to the theory of lasers; treatment of spontaneous and stimulated emission, atomic rate equations, laser oscillation conditions, power output, and optimum output coupling; CW and pulsed operation, Q switching, mode selection, and frequency stabilization; excitation of lasers, inversion mechanisms, and typical efficiencies; detailed examination of principal types of lasers, gaseous, solid state, and liquid; and chemical lasers, dye lasers, Raman lasers, high power lasers, TEA lasers, and gas dynamic lasers. Design considerations for GaAlAs, argon ion, helium neon, carbon dioxide, neodymium YAG, and pulsed ruby lasers. Fall semester. Typical text: Yariv, Optical Electronics. Close  3  0  0  3  PEP 497  SKIL VContinuation of SKIL IV. Prerequisites:PEP 398SKIL IV (165)
(LectureLabStudy Hours) This course is designed to make students comfortable with the handling and use of various optical components, instruments, techniques,and applications. Included will be the characterization of lens, wavefront division and multiple beam interferometry, partial coherence, spectrophotometry,coherent propogation, and properties of optical fibers.
Spring term.
Close 
Close  1  6  5  3   Total  13  6  17  15 
 Term VIII  Course #  Course Name  Lecture  Lab  Study  Credit 

HUM  Humanities  3  0  6  3  PEP 554  Quantum Mechanics II (2)Basic concepts of quantum mechanics, states, operators; time development of Schrödinger and Heisenberg pictures; representation theory; symmetries; perturbation theory; systems of identical particles, LS and jj coupling; fine and hyperfine structure; scattering theory; molecular structure. Spring semester. Typical texts: Gottfried, Quantum Mechanics, Schiff, Quantum Mechanics. Prerequisites:PEP 538, Introduction to Mechanics (300)
(LectureLabStudy Hours) Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations. Close 
PEP 553Quantum Mechanics and Engineering Applications (306)
(LectureLabStudy Hours) This course is meant to serve as an introduction to formal quantum mechanics as well as to apply the basic formalism to several generic and important applications. Close 
Close  3  0  6  3  PEP 578  Laser Applications and Advanced Optics (3)Integrated optics, nonlinear optics, Pockels effect, Kerr effect, harmonic generation, parametric devices, phase conjugate mirrors, and phase matching. Coherent and incoherent detection, Fourier optics, image processing and holography, and Gaussian optics. Detection of light, signal to noise, PIN and APD diodes, and optical communication. Scattering of light, Rayleigh, Mie, Brillouin, Raman, and Doppler shift scattering. Spring semester.
Close  3  0  0  3  PEP 498  SKIL VIContinuation of SKIL V. Prerequisites:PEP 497SKIL V (165)
(LectureLabStudy Hours) Continuation of SKIL IV. Close 
Close  1  6  5  3  G.E.  General Elective  3  0  6  3   Total  13  6  23  15 
 