**Department Head** R. Knobel

**Chair of Undergraduate Studies** J. Stotz

**Undergraduate Assistant** Melissa Balson

**Department Office** Stirling Hall, Room 205

**Email** 4mjb5@queensu.ca

**Telephone** (613) 533-2707

**Departmental Web Site** http://www.queensu.ca/physics

Core courses in the Engineering Physics plan provide the student with fundamental physical principles and theoretical tools for professional practice as well as a firm foundation in modern experimental techniques. To relate these abilities to the attitudes and knowledge of other engineering disciplines, the plan has four sub-plans: electrical, materials, mechanical, and computing. These sub-plans provide a sequence of courses in other engineering departments and thus provide career or graduate studies opportunities in both engineering and applied physics.

**Note**: **Students will not be registered in any core second year engineering physics courses until they have passed all the required first year mathematics and physics courses. It is strongly recommended that students have a grade of C- or better in the first year mathematics and physics courses.**

Fourth year elective courses must be chosen such that at the end of the academic plan each student meets or exceeds the Canadian Engineering Accreditation Board (CEAB) program requirements. A spreadsheet will be provided by the Undergraduate Chair to aid fourth year students with their course selection.

Options available:

- Electrical Option
- Materials Option
- Mechanical Option
- Computing Option

## Courses

**ENPH 211**

**Applied Physics**

**Units: 3.50**

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.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: Corequisites: ENPH 225 Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 213**

**Computational Eng. Physics**

**Units: 4.00**

Introduction to the use of numerical methods in solving physics and engineering problems. A high-level language appropriate for engineering, such as Python, will be introduced and used throughout the course. Possible topics to be covered include numerical differentiation and integration (with applications in error propagation), root finding and optimization problems (including curve fitting), solution of linear systems of equations, finite-element modelling, fast Fourier transforms and Monte Carlo simulations.

(Lec: 2, Lab: 1.5, Tut: 0.5)

**Requirements:**Prerequisites: APSC 142, MTHE 227 (MATH 227), MTHE 237 (MATH 237) or MTHE 225, ENPH 242 (PHYS 242) Corequisites: ENPH 211 (PHYS 211), ENPH 225 (PHYS 225), ENPH 239 Exclusions: CMPE 271

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 225**

**Mechanics**

**Units: 3.50**

Extension of classical mechanics and engineering applications. Plane dynamics, relative motion and forces in moving and accelerated reference frames. Introduction to general three-dimensional motion of a rigid body, inertia tensor and steady-state precession. The laws of conservation of mass, momentum and energy.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: APSC 111, APSC 112, APSC 171, APSC 172, APSC 174 Corequisites: Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 239**

**Eng. Electricity & Magnetism**

**Units: 3.50**

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.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: MTHE 227 (MATH 227) or MTHE 280 (MATH 280); APSC 111 and APSC 112 Corequisites: Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 242**

**Relativity And Quanta**

**Units: 3.50**

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.

(Lec: 3, Lab: 0, Tut: 0.5)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 251**

**Engineering Phys Lab And Stats**

**Units: 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, chi-squared.

COURSE DELETED 2012-2013

(Lec: 1, Lab: 3, Tut: 0.25)

**Requirements:**Prerequisites: Corequisites: ENPH 225, ENPH 239 and ENPH 274 Exclusions: ENPH 252 (PHYS 252)

**Offering Term:**FW

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 252**

**Mangmt Of Experimental Data**

**Units: 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 least-squares fitting, chi-squared. The graphical treatment and presentation of data; regression and power law analyses.

COURSE DELETED 2021-2022

(Lec: 1, Lab: 0, Tut: 0.25)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 253**

**Engineering Physics Laboratory**

**Units: 3.50**

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.

K3.5(Lec: Yes, Lab: Yes, Tut: Yes)

**Requirements:**Prerequisites: ENPH 252 (PHYS 252) Corequisites: ENPH 211, ENPH 225, ENPH 239 Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 316**

**Mathematical Methods in Physics I**

**Units: 3.50**

Methods of mathematics important for physicists. Complex arithmetic, series expansions and approximations of functions, Fourier series and transforms, vector spaces and eigenvalue problems, and differential equations.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: MTHE 227 (MATH 221 or MATH 280), MTHE 237 (MATH 225 or MATH 231) or MTHE 225 Corequisites: Exclusions: ENPH 312 (PHYS 312), MTHE 338 (MATH 338), MTHE 334 (MATH 334), MTHE 335 (MATH 335)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 317**

**Mathematical Methods in Physics II**

**Units: 3.50**

A continuation of PHYS 316. Partial differential equations, functions of a complex variable and contour integration, and special topics such as probability and statistics, group theory and non-linear dynamics

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: ENPH 316 (PHYS 316) Corequisites: Exclusions: ENPH 312 (PHYS 312), MTHE 338 (MATH 338), MTHE 334 (MATH 334), MTHE 335 (MATH 335)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 321**

**Advanced Mechanics**

**Units: 3.50**

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.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: ENPH 211 (PHYS 211), MTHE 226 (MATH 226) or MTHE 237 (MATH 237) or MTHE 225, MTHE 227 (MATH 227) Corequisites: Exclusions:

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 332**

**Electromagnetic Theory**

**Units: 3.50**

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, wave-guides, and optical fibers.

COURSE DELETED 2012-2013

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: ENPH 239 (PHYS 239) or PHYS 235 or ELEC 280, MTHE 226 (MATH 226) or MTHE 235 (MATH 235) or MTHE Corequisites: Exclusions:

**Offering Term:**W

**CEAB Units:**

**Course Equivalencies:**PHYS332, PHYS432

**Offering Faculty:**Faculty of Arts and Science

**ENPH 334**

**Electronics For Applied Scientists**

**Units: 5.00**

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.

(Lec: 3, Lab: 1.5, Tut: 0.5)

**Requirements:**Prerequisites: ELEC 221 Corequisites: Exclusions: ENPH 333 (PHYS 333)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 336**

**Solid State Devices**

**Units: 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 p-n junction diodes, bipolar junction transistors, field-effect junction transistors, metal-oxide-semiconductor field-effect transistors, and optoelectronic devices.

(Lec: 3, Lab: 0, Tut: 0.25)

**Requirements:**Prerequisites: ELEC 252, ELEC 280 or ENPH 239 (PHYS 239) Corequisites: Exclusions: PHYS 335

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 344**

**Intro. To Quantum Mechanics**

**Units: 3.50**

Matter waves. Postulates of wave mechanics. Stationary states and one-dimensional potentials. Particle tunnelling and scattering states. Introduction to matrix mechanics and Dirac notation. Quantized angular momentum, and the H atom.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: MTHE 237 (MATH 225 or MATH 231 or MATH 232) or MTHE 225, MTHE 227 (MATH 221 OR MATH 280), ENPH 242 (PHYS 242), ENPH 211 (PHYS 211) Corequisites: Exclusions: CHEM 313

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 345**

**Quantum Physics Of Atoms**

**Units: 3.50**

Spin. Addition of angular momentum. Many electron atoms and the periodic table. Introduction to perturbation theory and Fermi's golden rule. Time dependent perturbations, including stimulated emission. Introduction to nuclear and particle physics.

(Lec: 3, Lab: 0, Tut: 0.5)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 353**

**Engineering Physics Experiment Design**

**Units: 2.50**

A course on the design of advanced physics experiments. Students learn advanced measurement techniques in the context of modern physics experiments, including nanoscience, quantum physics, optics and particle physics. The lectures cover probability and the statistical interpretation of data, methods of measurement, and how to design an experiment. Students spend the majority of the term on an experimental project of their choosing, researching, assembling, carrying out the experiment, analyzing and presenting the results.

(Lec: 1, Lab: 1.5, Tut: 0)

**Requirements:**Prerequisites: ENPH 251 (PHYS 251) OR ENPH 253 Corequisites: ENPH 344 Exclusions: ENPH 351 (PHYS 351)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 354**

**Engineering Physics Design Project**

**Units: 3.50**

Students will apply technical knowledge, models, and computer-aided design tools to solve an open-ended 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.

(Lec: 1, Lab: 2.5, Tut: 0)

**Requirements:**Prerequisites: APSC 200, APSC 293, ENPH 253 or ENPH 251 (PHYS 251) Corequisites: APSC 221, ENPH 213 or CMPE 271, ENPH 334 or ELEC 252 Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 372**

**Thermodynamics**

**Units: 3.50**

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.

(Lec: 3, Lab: 0, Tut: 0.5)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 414**

**Introducation to General Relativity**

**Units: 3.00**

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.

(Lec: 3, Lab: 0, Tut: 0)

**Requirements:**Prerequisites: ENPH 321 (PHYS 321), ENPH 316 (PHYS 316) and ENPH 317 (PHYS 317) or ENPH 312 (PHYS 312) or MTHE 338 (MATH 338) Corequisites: Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 431**

**Electromagnetic Theory**

**Units: 3.50**

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, wave-guides, and optical fibers.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: MTHE 226 (MATH 226) or MTHE 235 (MATH 235) or MTHE 237 (MATH 237) or MTHE 225 , MTHE 227 (MATH 227), ENPH 239 (PHYS 239) Corequisites: Exclusions: ENPH 332 (PHYS 332), PHYS 432

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 444**

**Advanced Quantum Physics**

**Units: 3.00**

Perturbation theory. Scattering theory. Addition of angular momentum. Special topics: Many electron systems. Path integral formulation of quantum mechanics. Entanglement and quantum computing.

(Lec: 3, Lab: 0, Tut: 0)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 453**

**Advanced Physics Laboratory**

**Units: 3.50**

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.

(Lec: 0, Lab: 3.5, Tut: 0)

**Requirements:**Prerequisites: ENPH 344 (PHYS 344), ENPH 345 (PHYS 345), ENPH 351 (PHYS 351) or ENPH 353 Corequisites: Exclusions: ENPH 450 (PHYS 450), ENPH 453 (PHYS 453)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 454**

**Advanced Engineering Physics Design Project**

**Units: 4.50**

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.

(Lec: 0, Lab: 4.5, Tut: 0)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Smith Engineering

**ENPH 455**

**Engineering Physics Thesis**

**Units: 4.00**

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.

(Lec: 0, Lab: 0, Tut: 4)

**Requirements:**Prerequisites: ENPH 351 (PHYS 351) OR ENPH 354 Corequisites: Exclusions:

**Offering Term:**FW

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 456**

**Advanced Engineering Physics Thesis I:**

**Units: 2.00**

Students will be assigned individual research topics. Students must work under the supervision of a faculty member. Grade will be based on the progress in arriving at a solution to the assigned problem.

(Lec: 0, Lab: 0, Tut: 2)

**Offering Term:**S

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 457**

**Advanced Engineering Physics Thesis II**

**Units: 9.00**

Continuation of ENPH 456. Upon completion of their thesis, students must 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 written and oral presentations. Demonstration of effective written and oral communications skills is required.

(Lec: 0, Lab: 0, Tut: 9)

**Offering Term:**FW

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 460**

**Laser Optics**

**Units: 3.50**

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, light-matter interaction using classical and semi-classical models, and the basic theory and types of lasers.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: ENPH 239 (or PHYS 239), ENPH 344 (PHYS 344), or permission of the instructor Corequisites: ENPH 431 or permission of instructor Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 472**

**Statistical Mechanics**

**Units: 3.50**

Phase space, the ergodic hypothesis and ensemble theory. Canonical and grand canonical ensembles. Partition functions. Ideal quantum gases. Classical gases and the liquid vapour transition. Introduction to techniques for interacting systems, including Monte Carlo simulations.

(Lec: 3, Lab: 0, Tut: 0.5)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 479**

**High Performance Computational Physics**

**Units: 3.00**

A course to teach students how to use the tools of high performance computing facilities, and to have them employ these tools and various common numerical algorithms in the solution of numerical physics and engineering physics projects.

(Lec: 2, Lab: 0, Tut: 2)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 480**

**Solid State Physics**

**Units: 3.50**

An introduction to the properties of insulators, semiconductors and metals. Topics include: crystal structure, X-ray and neutron scattering, the reciprocal lattice, phonons, electronic energy bands, and the thermal, magnetic, optical and transport properties of solids.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: ENPH 239 (PHYS 239), ENPH 345 (PHYS 345) Corequisites: Exclusions: ENPH 380 (PHYS 380), ENPH 481 (PHYS 481)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 481**

**Solid State Device Physics**

**Units: 3.50**

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.

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: ENPH 239 (PHYS 239), ENPH 344 (PHYS 344) Corequisites: Exclusions: ENPH 336 (PHYS 336), ENPH 380 (PHYS 380), ENPH 480 (PHYS 480)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 483**

**Nanoscience & Nanotechnology**

**Units: 3.50**

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 scanning-probe and optical microscopy.

NOT OFFERED 2022-2023

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: ENPH 344 (PHYS 344), ENPH 336 (PHYS 336) or ENPH 380 (PHYS 380) or ENPH 480 (PHYS 480) or ENPH 481 Corequisites: Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 490**

**Nuclear And Particle Physics**

**Units: 3.50**

A systematic introduction to low energy nuclear physics for advanced physics students. Lecture topics are: nucleon-nucleon forces, structure of nuclei, nuclear models, radioactivity, detection of nuclear radiation, electromagnetic, weak and strong interactions and an introduction to particle physics.

(Lec: 3, Lab: 0, Tut: 0.5)

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 491**

**Physics Of Nuclear Reactors**

**Units: 3.50**

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 cross-sections, neutron diffusion, neutron moderation, theory of reactors, changes in reactivity, control of reactors.

NOT OFFERED 2022-2023

(Lec: 3, Lab: 0, Tut: 0.5)

**Requirements:**Prerequisites: 3rd or 4th year standing in Engineering Physics Corequisites: Exclusions:

**Offering Term:**F

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 493**

**Plasma Physics**

**Units: 3.50**

An introduction to plasma physics. The motions of single particles under the influence of various fields is considered first, followed by a fluid description of plasma. Topics also include plasma properties, waves in plasma, equilibrium and stability.

NOT OFFERED 2022-2023

(Lec: 3.0, Lab: 0, Tut: 0.5)

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Smith Engineering

**ENPH 495**

**Intro To Medical Physics**

**Units: 3.00**

Production and measurement of x-rays 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.

(Lec: 3, Lab: 0, Tut: 0)

**Requirements:**Prerequisites: 3rd or 4th year standing in Engineering Physics Corequisites: Exclusions:

**Offering Term:**W

**CEAB Units:**

**Offering Faculty:**Faculty of Arts and Science

**ENPH 555**

**Accelerated Engineering Physics Thesis**

**Units: 4.00**

Undergraduate thesis for students enrolled in the Accelerated Masters Program in Engineering Physics. They must develop an engineering solution to an assigned program 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. Students in the Accelerated Masters program are expected to work the summer before with the supervisor.

K4(Lec: 0, Lab: 0, Tut: 0)

**Requirements:**Prerequisites: PREREQUISITE(S): ENPH 354 and acceptance in the Accelerated Masters Program Corequisites: Exclusions: Exclusions: ENPH 455, ENPH 456, ENPH 457

**Offering Term:**FW

**CEAB Units:**

**Offering Faculty:**Smith Engineering