Engineering Physics Courses

ENPH 211 
Applied Physics 
W 30.5 3.5 
This course stresses the creation of physical models for real systems.
Applications of vibrational motion are developed and a basic description
of the properties of elastic media given. The methods required to
predict the performance of physical or engineering systems are
demonstrated using examples drawn from various fields of science and
engineering with emphasis on mechanics and vibrations, waves and optics. (0/11/0/31/0)

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ENPH 213 
Computational Engineering Physics 
W 21.5.5 4 
Introduction to the use of numerical methods in solving physics and engineering problems. A highlevel language appropriate for engineering, such as MATLAB, will be introduced and used throughout the course. Possible topics to be covered include numerical differentiation and integration, root finding and optimization problems, solution of linear systems of equations, finiteelement modelling, fast Fourier transforms and Monte Carlo simulations. (12/0/0/21/15)
PREREQUISITES: APSC 142, MTHE 227 (MATH 227), MTHE 237 (MATH 237), ENPH 242 (PHYS 242)

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ENPH 225 
Mechanics 
W 30.5 3.5 
Extension of classical mechanics and engineering applications. Plane dynamics,
relative motion and forces in moving and accelerated reference frames.
Introduction to general threedimensional motion of a rigid body, inertia tensor
and steadystate precession. The laws of conservation of mass, momentum and
energy. Introduction to fluid mechanics including: hydrostatics, pressure
measuring devices, steady flow, and Bernoulli's Equation. (0/0/0/42/0)
PREREQUISITES: APSC 111, APSC 112, APSC 171, APSC 172, APSC 174

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ENPH 239 
Electricity and Magnetism 
W 30.5 3.5 
The experimental basis and mathematical description of electrostatics, magnetostatics and electromagnetic induction, together with a discussion of the properties of dielectrics and ferromagnetics, are presented. Both the integral and vector forms of Maxwell's equations are deduced. (0/17/0/25/0)
PREREQUISITES: MTHE 227 (MATH 227) or MTHE 280 (MATH 280); APSC 111 and APSC 112

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ENPH 242 
Relativity and Quanta 
F 30.5 3.5 
Evidence for relativistic effects. Kinematics and dynamics in special relativity, Minkowski diagram, applications. Evidence for quanta, spectra, Bohr atom, quantum statistics. Descriptive nuclear physics, radioactivity, elementary particles. (0/42/0/0/0)
PREREQUISITES: APSC 111, APSC 112

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ENPH 251 
Engineering Physics Laboratory and Statistics 
FW 13.25 4.25 
The demonstration of the basic techniques of the engineering physicist in the measurement of electric, magnetic, thermal and mechanical properties. The emphasis is on correct measurement techniques, treatment of results and the presentation of data. Error and uncertainties in experimental measurement, the propagation of errors. Probability and the Binomial, Poisson and Gaussian distribution functions, fitting of Poisson and Gaussian distributions to a sample population. Linear least squares fit, chisquared. (8/8/6/28/0) ~COURSE DELETED in 20112012~

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ENPH 252 
Management of Experimental Data 
W 10.25 1.25 
Error and uncertainties in experimental measurement, the propagation of errors. Probability and the Binomial, Poisson and Gaussian distribution functions, fitting of Poisson and Gaussian distributions to a sample population. Linear leastsquares fitting, chisquared. The graphical treatment and presentation of data; regression and power law analyses. (8/0/0/6/0)

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ENPH 253 
Engineering Physics Laboratory 
W 020 2 
The demonstration of the basic techniques of the
engineering physicist in the measurement of electric, magnetic and
mechanical properties. The emphasis is on correct measurement
techniques, error analysis, treatment of results and the presentation of
data. (0/9/6/9/0)
PREREQUISITES: ENPH 252 (PHYS 252)

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ENPH 274 
Thermodynamics 
W 30.5 3.5 
Thermodynamics applied to engineering systems. Ideal gas properties and real thermodynamic working substances. First law using control mass and control volume. Second law, entropy, Carnot cycle, power and refrigeration cycles. Reversible flow processes. Introduction to fluid mechanics and flow measurement. (0/6/0/28/8) ~COURSE DELETED IN 20112012~
PREREQUISITES: APSC 111, APSC 112, APSC 171, APSC 172, APSC 174

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ENPH 312 
Mathematical Methods in Physics 
FW 601 7 
Methods of mathematics important for physicists. Functions of a complex variable, contour integration, partial differential equations, orthogonal functions, Green functions, Fourier series, Fourier and Laplace transforms, finite difference methods, numerical solution of ordinary and partial differential equations. (63/21/0/0/0)
PREREQUISITES: MTHE 227 (MATH 227), MTHE 237 (MATH 237), ENPH 211 (PHYS 211)

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ENPH 321 
Advanced Mechanics 
F 30.5 3.5 
An introduction to the equations of mechanics using the Lagrange formalism and to the calculus of variations leading to Hamilton's principle. The concepts developed in this course are applied to problems ranging from purely theoretical constructs to practical applications. Links to quantum mechanics and extensions to continuous systems are developed. (11/20/0/11/0)
PREREQUISITES: ENPH 211 (PHYS 211), MTHE 226 (MATH 226) or MTHE 237 (MATH 237), MTHE 227 (MATH 227)

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ENPH 332 
Electromagnetic Theory 
W 30.5 3.5 
An introduction to electromagnetic theory and some of its applications. Topics are: Maxwell's equations, properties of waves in free space, dielectrics, conductors and ionized media, reflection and refraction at the surfaces of various media, radiation of electromagnetic waves, antennae, waveguides, and optical fibers. (0/21/0/21/0)
PREREQUISITES: ENPH 231 (PHYS 231) or PHYS 235 or ELEC 280, MTHE 226 (MATH 226) or MTHE 235 (MATH 235) or MTHE 237 (MATH 237), MTHE 227 (MATH 227)

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ENPH 333 
Electronics for Scientists and Engineers 
F 31.50 4.5 
The design of electronic circuits and systems, using commonly available devices and integrated circuits. The properties of linear circuits are discussed with particular reference to the applications of feedback; operational amplifiers are introduced as fundamental building blocks. Digital circuits are examined and the properties of the commonly available I.C. types are studied; their use in measurement, control and signal analysis is outlined. Laboratory work is closely linked with lectures and provides practical experience of the subjects covered in lectures.(0/0/0/27/27)
PREREQUISITES: ENPH 231 (PHYS 231) or ELEC 210 or ELEC 221

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ENPH 334 
Electronics for Applied Scientists 
F 31.50 4.5 
The design of electronic circuits and systems, using commonly available devices and integrated circuits. The properties of linear circuits are discussed with particular reference to the applications of feedback; operational amplifiers are introduced as fundamental building blocks. Digital circuits are examined and the properties of the commonly available I.C. types are studied; their use in measurement, control and signal analysis is outlined. Laboratory work is closely linked with lectures and provides practical experience of the subjects covered in lectures.(0/0/0/27/27)
PREREQUISITES: ENPH 231 (PHYS 231) or ELEC 221

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PHYS 335 
Semiconductor Physics 

An examination of the basic phenomena of semiconductor physics and their application in diodes, transistors, optical detectors, and lasers. The laboratory illustrates the use of semiconductor devices in electronic circuits. (0/10/2/28/8) ~ COURSE DELETED IN 2008/09 ~
PREREQUISITE: PHYS 231
EXCLUSION: PHYS 336

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ENPH 336 
Solid State Devices 
F/W 30.25 3.25 
This course deals with the fundamental concepts of solid state materials and the principles of operation of modern electronic and optoelectronic devices. Topics in materials include crystal structure, energy bands, carrier processes and junctions. Topics in device operation include pn junction diodes, bipolar junction transistors, fieldeffect junction transistors, metaloxidesemiconductor fieldeffect transistors, and double heterojunction lasers.(0/18/0/21/0)
PREREQUISITES: ELEC 252, ELEC 280 or ENPH 231 (PHYS 231)

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PHYS 342 
Relativity and Quanta 

Evidence for relativistic effects. Kinematics and dynamics in special relativity, Minkowski diagram, applications. Evidence for quanta, spectra, Bohr atom, quantum statistics. Descriptive nuclear physics, radioactivity, elementary particles. (5/30/0/4/0) ~ COURSE DELETED IN 2008/09 ~
PREREQUISITES: APSC 111, APSC 112

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PHYS 343 
Wave Mechanics 

Wave description of matter. Schrodinger equation, angular momentum, tunneling. Application to atomic structure, spectra, the electron gas and quantum systems. (4/28/0/4/0) ~ COURSE DELETED IN 2008/09 ~
PREREQUISITES: PHYS 211 and PHYS 342, MATH 226 or MATH 237, MATH 227

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ENPH 344 
Introduction to Quantum Mechanics 
F 30.5 3.5 
Brief introduction to Hamiltonian dynamics. Matter waves. Postulates of quantum mechanics. Stationary states. Onedimensional potentials. Particle tunnelling and scattering states. Introduction to matrix mechanics and Dirac notation: the simple harmonic oscillator and angular momentum. (11/31/0/0/0)
PREREQUISITES: MTHE 237 (MATH 237), MTHE 227 (MATH 227), ENPH 242 (PHYS 242), ENPH 211 (PHYS 211)

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ENPH 345 
Quantum Physics of Atoms, Nuclei and Particles 
W 30.5 3.5 
Quantum mechanical treatment of two and three dimensional systems. Hydrogen atom. Spin. Manyelectron atoms and the periodic table. Introduction to perturbation theory. Fermi’s golden rule. Introduction to nuclear and particle physics. (11/20/0/11/0)
PREREQUISITE: ENPH 344 (PHYS 344)

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ENPH 351 
Engineering Physics Laboratory 
F 020 2 
Selected experiments in electron physics, quantum physics, nuclear physics, optics, and heat illustrating the development of modern physics concepts. The laboratory work introduces advanced measurement techniques and includes an experimental project in modern physics with oral presentations. (0/4/6/4/10) ~COURSE DELETED IN 20112012~

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ENPH 352 
Measurement, Instrumentation and Experiment Design 
W 310 4 
Methods of measurement of a wide range of quantities are discussed with particular reference to instrumentation and equipment used in current physics and engineering practice. The emphasis is on experiment and system design including the use of analog and digital signal processing methods for signal to noise enhancement. A major section of the course covers the use of nuclear and xray methods in applied physics. Current legislation related to health and safety is reviewed. An associated laboratory provides experience in modern instrumentation. (0/0/2/22/24) ~COURSE DELETED IN 20112012~
PREREQUISITES: ENPH 231 (PHYS 231) or PHYS 235, PHYS 342 or ENPH 344 (PHYS 344)

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ENPH 353 
Engineering Physics Laboratory II 
11.50 2.5 
Selected experiments in electron physics, quantum physics, nuclear
physics and optics illustrating the development of modern physics
concepts. The lectures cover methods of measurement of a wide range of
quantities, with emphasis on instrumentation and equipment used in
current physics and engineering practice. The laboratory work
introduces advanced measurement techniques and important concepts in
modern physics. (0/8/8/14/0)
PREREQUISITES: ENPH 251 (PHYS 251) OR ENPH 253

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ENPH 354 
Engineering Physics Design Project 
F 12.50 3.5 
Students will apply technical knowledge, models, and computeraided
design tools to solve an openended design problem. The students will
work in teams to design, built, and test a prototype device. The
lectures provide background on the physics and engineering of the device
and introduce the design tools and techniques that will be required to
complete the project. (0/0/0/11/31)
PREREQUISITES: APSC 200, APSC 293, ENPH 253 or ENPH 251 (PHYS 251)

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ENPH 372 
Thermodynamics 
W 30.5 3.5 
Temperature, equations of state, internal energy, first and second
laws, entropy and response functions. Application to heat engines and
refrigerators. Free energies, Legendre transformations, changes of
phase. Introduction to the Boltzmann factor and statistical mechanics.
First offering in winter 2013. (0/31/0/11/0)
PREREQUISITES: ENPH 242 (PHYS 242)

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ENPH 380 
Electrical and Optical Properties of Solids 
W 30.25 3.25 
An introduction to the electrical and optical properties of insulators, semiconductors and metals. Introduction to FermiDirac statistics, crystal structures, band theory, and electron transport. The physics behind diodes, field effect and bipolar transistors, and other discrete devices. (0/10/0/27/2) ~COURSE DELETED IN 20112012~
PREREQUISITES: ENPH 231 (PHYS 231), ENPH 344 (PHYS 344)

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ENPH 414 
Introduction to General Relativity 
F 300 3 
Einstein's theory of gravity is developed from fundamental principles
to a level which enables the student to read some of the current
literature. Includes an introduction to computer algebra, an essential
element of a modern introduction to Einstein's theory. (12/24/0/0/0)
PREREQUISITES: ENPH 321 (PHYS 321), ENPH 312 (PHYS 312) or MTHE 338 (MATH 338)

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ENPH 422 
Fluid Mechanics 
F 30.5 3.5 
A survey of the physics of fluids. The fundamental principles and the range of validity of the usual approximation methods are stressed. Topics include a study of incompressible flow, both laminar and turbulent, boundary layers, stratified flow and waves, with a brief introduction to gas dynamics, magnetohydrodynamics and plasma physics. (0/18/0/24/0) ~COURSE DELETED IN 20112012~
PREREQUISITES: ENPH 225 (PHYS 225), MATH 436 or MTHE 338 (MATH 338)

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PHYS 424 
Quantum Mechanics I 

The mathematical and physical foundations of quantum theory are formulated. The basic principles are illustrated by applications in atomic, molecular, nuclear and solid state physics. (4/20/0/12/0) ~ COURSE DELETED 2009/10) ~
PREREQUISITES: PHYS 342, PHYS 343

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PHYS 426 
Quantum Mechanics II 

A continuation of quantum theory at a more advanced level. Topics include timedependent perturbation theory, scattering theory and the quantum theory of manyparticle systems. (0/36/0/0/0) ~ COURSE DELETED IN 2009/10 ~
PREREQUISITE: PHYS 424

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ENPH 431 
Electromagnetic Theory 
F 30.5 3.5 
An introduction to electromagnetic theory and some of its
applications. Topics are: Maxwell's equations, properties of waves in
free space, dielectrics, conductors and ionized media, reflection and
refraction at the surfaces of various media, radiation of
electromagnetic waves, antennae, waveguides, and optical fibers.
(0/21/0/21/0) First offering in Fall 2013
PREREQUISITES: MTHE 226 (MATH 226) or MTHE 235 (MATH 235) or MTHE 237 (MATH 237), MTHE 227 (MATH 227), ENPH 231 (PHYS 231) or PHYS 235 or ELEC 280
EXCLUSIONS: ENPH 332 (PHYS 332), PHYS 432

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ENPH 444 
Advanced Quantum Physics 
F 300 3 
Perturbation theory. Scattering theory. Addition of angular momentum. Special topics: Many electron systems. Path integral formulation of quantum mechanics. Entanglement and quantum computing. (0/36/0/0/0) First Offered in 20092010
PREREQUISITE: ENPH 345 (PHYS 345)

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ENPH 450 
Advanced Physics Laboratory and Project 
FW 080 8 
This course provides advanced physics and engineering physics students with experience in a wide range of modern experimental techniques and the design of scientific or engineering apparatus. The course is evenly divided between group projects and set experiments. Experiments incorporate measurement and design in applied physics, solid state physics, low temperature physics, nuclear physics and optics. Students spend the winter term undertaking a large group design project demonstrating their knowledge of physics and engineering. (0/8/6/30/52) ~COURSE DELETED IN 20112012~
PREREQUISITES: PHYS 343 or ENPH 345 (PHYS 345), PHYS 350 or ENPH 351 (PHYS 351)

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ENPH 453 
Advanced Physics Laboratory 
F 03.50 3.5 
This course provides students in Engineering Physics with experience
in a range of advanced experimental techniques and analysis. A balanced
selection of experiments are performed from fields including nuclear
physics, applied physics, solid state physics, low temperature physics,
and optics. (0/11/11/20/0)
PREREQUISITES: ENPH 344 (PHYS 344), ENPH 345 (PHYS 345), ENPH 351 (PHYS 351) or ENPH 353

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ENPH 454 
Advanced Engineering Physics Design Project 
F 04.50 4.5 
This course provides engineering physics students with a complete
experience in advanced design and implementation. Working in groups,
students undertake a large design project of their choice that reflects
and further develops their knowledge of physics and engineering design.
The students then build a prototype of their design to demonstrate the
feasibility of project within the design constraints. (0/0/14/0/40)
PREREQUISITES: ENPH 344 (PHYS 344), ENPH 351 (PHYS 351) OR ENPH 354

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ENPH 455 
Engineering Physics Thesis 
FW 004 4 
Students will be assigned individual design topics of the type a practicing engineering physicist might expect to encounter. They must develop a solution under the supervision of a faculty member, and give oral and written presentations to an examining committee. Grades will be based on the quality of the analysis of the problem, the proposed solution, and the written and oral presentations. The demonstration of effective written and oral communications skills is required. (0/0/12/0/36)
PREREQUISITE: ENPH 351 (PHYS 351) OR ENPH 354

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ENPH 460 
Laser Optics 
W 30.5 3.5 
Topics and applications in modern physical optics, culminating with the development of the laser and its current applications. Topics include: Gaussian beam propagation, optical resonators, Fourier optics, fiber optics, holography, lightmatter interaction using classical and semiclassical models, and the basic theory and types of lasers. (0/21/0/21/0)
PREREQUISITES: ENPH 239 (or PHYS 231), ENPH 344 (PHYS 344), or permission of the instructor
COREQUISITES: ENPH 332 or permission of instructor

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ENPH 480 
Solid State Physics 
F 30.5 3.5 
An introduction to the properties of insulators, semiconductors and
metals. Topics include: crystal structure, Xray and neutron scattering,
the reciprocal lattice, phonons, electronic energy bands, and the
thermal, magnetic, optical and transport properties of solids. (0/31/0/11/0)
PREREQUISITES: ENPH 231 (PHYS 231), ENPH 344 (PHYS 344)

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ENPH 481 
Solid State Device Physics 
F 30.5 3.5 
A course in the physics underlying solid state electronic and optical
devices. The course presents an introduction to the electrical and
optical properties of insulators, semiconductors and metals, including
crystal structure, band theory, and electron transport. This is applied
to obtain a physical understanding of the physics governing the
behaviour of diodes, field effect and bipolar transistors, and other
discrete optical and electronic devices. (0/12/0/30/0)
PREREQUISITES: ENPH 231 (PHYS 231), ENPH 344 (PHYS 344)

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ENPH 483 
Nanoscience and Nanotechnology 
W 30.5 3.5 
An examination of the key ideas, techniques and technologies in the fields of nanoscience and nanotechnology. Emphasis will be placed on the physics involved, measurement techniques, and technological applications. Topics covered are selected from the following: electrical and optical properties of quantum dots, quantum wires and nanotubes; quantum information technology; mesoscopic electronics; nanostructures on surfaces; and scanningprobe and optical microscopy. (0/12/0/30/0)
PREREQUISITIES: ENPH 344 (PHYS 344), ENPH 336 (PHYS 336) or ENPH 380 (PHYS 380) or ENPH 480 (PHYS 480)

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ENPH 487 
Surface Engineering and Analysis 
F 300 3 
An outline of the fundamental concepts and applications of modern techniques for the production and analysis of surfaces and thin films. Topics include ultrahigh vacuum principles, surface thermodynamics and adsorption, electron and ion microscopy and spectroscopy, electron and xray diffraction, scanning probe microscopy, and growth of thin films by vapour deposition. (0/8/2/16/10) ~COURSE DELETED IN 20112012~
PREREQUISITES: ENPH 344 (PHYS 344) or permission of the instructor

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ENPH 490 
Nuclear Physics 
W 306 3.5 
A systematic introduction to low energy nuclear physics for advanced physics students. Lecture topics are: nucleonnucleon forces, structure of nuclei, nuclear models, radioactivity, detection of nuclear radiation, electromagnetic, weak and strong interactions and an introduction to particle physics. (0/42/0/0/0)
PREREQUISITES: ENPH 345 (PHYS 345)

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ENPH 491 
Physics of Nuclear Reactors 
F 30.5 3.5 
The fundamental physics associated with a nuclear reactor. Emphasis will be on the interaction of neutrons, reactor kinetics and calculations required in reactor design. Topics discussed include: brief review of basic nuclear physics, neutron interactions and crosssections, neutron diffusion, neutron moderation, theory of reactors, changes in reactivity, control of reactors. (0/0/0/30/12)

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ENPH 495 
Introduction to Medical Physics 
W 300 3 
Production and measurement of xrays and charged particles for radiation
therapy and nuclear medicine, interactions of radiation with matter and
biological materials, interaction coefficients and radiation dosimetry,
radiation safety, physics of medical imaging with examples from nuclear
medicine ultrasound and magnetic resonance imaging. (0/9/0/27/0)
PREREQUISITES: ENPH 312 (PHYS 312) or MTHE 338 (MATH 338), ENPH 344 (PHYS 344) or PHYS 343, ENPH 352 (PHYS 352) or PHYS 350 or ENPH 353

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