63 courses in the 1967–68 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Review of DC circuit theory: Kirchhoff’s laws, Thevenin and Norton’s theorems, Alternating current theory: sinusoidal voltages and currents, R, L, C circuit elements. Complex notation, analysis of simple AC circuits. Power in AC circuits. Polyphase circuits. Electrical measurements. Resonant circuits, Q factor. Transient analysis; RC, RL, RLC circuits with switches.
Vector algebra; gradient, divergence, curl. Electrostatics; review of Coulomb’s law, electric fields and forces due to point and continuous charge distributions. Gauss’s law. Review of potential, Laplace’s, Poisson’s equations, capacitance. Dielectrics. Magnetostatistics; forces in magnetic fields, induction, Biot-Savart law, Ampere’s circuital law. Induced EMF; Faraday induction, Lenz’s law, self and mutual inductance, transformers. Magnetic materials; magnetization, reluctance, magnetic circuits. Maxwell’s equations; plane waves, Poynting’s vector.
3 hours lectures, 3 hours laboratory every third week.
The engineering principles in the application of analogue and digital computers to simulation and computational problems. Problem description, block diagramming and flow charting. Scaling and machine language coding. Automatic coding, interpretive routines including digital analogue simulators. Applications of hybrid computers. Digital control of continuous systems.
Prerequisite: Math 31, Math 32.
3 lectures, 3 hours laboratory alternate weeks, one term.
The design principles of digital, analogue and hybrid computers. Boolean algebra and switching circuits. Discrete and continuous arithmetic units, memory types, input/output and control units. Number systems, floating point arithmetic.
Prerequisite: EE 25.
3 lectures, 3 hours laboratory every third week, one term.
Relation between information content of messages and system capacity; transmission through electric networks; modulation systems; periodic sampling, noise, comparative analysis of information transmission systems. The role of system bandwidth and noise in limiting the transmission of information is stressed.
Introduction to the principles and characteristics of diodes, vacuum tubes, transistors, and other electron devices, and to the design and analysis of rectifiers, amplifiers, and other electronic circuits.
Introduction to statistical mechanics, elementary band theory of solids, intrinsic and extrinsic semiconductors, minority carrier charge dynamics, physical principles of the operation of the p-n junction and the junction transistor.
2 lectures, 3 hours laboratory alternate weeks, one term.
Crystal structure and the common lattices, x-ray and electron diffraction analysis, chemical binding. Dielectrics: the origin of electrical polarization, dipole relaxation and dielectric losses, ferroelectrics. Magnetics: the atomic origin of diamagnetism and paramagnetism, paramagnetic resonance, ferromagnetism, magnetic anisotropies, domains, magnetization curves of bulk material, antiferromagnetism, ferrimagnetism and ferrites.
A study of the basic physical principles underlying the operation of some of the important solid state devices, including an introduction to quantum electronics and a discussion of the maser and the laser; an introduction to the phenomenon of superconductivity and a discussion of superconductive devices; band theory of semiconductors and a discussion of some of the modern semiconductor devices.
Review of formulation procedures for linear systems, network theorems, equivalent circuits, analysis of large networks through subnetworks. Analytical solution for simple periodic and non-periodic excitations, review and extension of Laplace methods for transient and steady-state response. Fourier methods. Resonant cricuits, one ports; two ports; and polyphase circuits.
The design and analysis of circuits used in the generation and shaping of non-sinusoidal waveforms, including linear and non-linear wave shaping, and gating, voltage and current sweeps, multivibrators and the blocking oscillator.
Prerequisite: EE 42, EE 52.
3 lectures, 3 hours laboratory every third week, one term.
Thermionic emission. Wacuum diode, triode and pentode. The idealized diode, rectifiers and filters. The four-pole representation of networks, vacuum tubes and transistors. Amplifier properties of four-pole networks. Transistor biasing and stability. Large signal amplifiers.
The high frequency performance of transistors, equivalent circuits. Amplifier properties at high frequencies. Wideband amplifiers, feedback amplifiers, stability, oscillators, tuned amplifiers. Noise in electronic circuits. Modulation and detection systems.
Introduction to energy conversion with special emphasis on electromechanical energy converters, linear and rotary. Physical magnetic and electrostatic circuits: statically and dynamically coupled magnetic circuits.
2 lectures, 3 hours laboratory alternate weeks, one term.
Development of dynamic and steady state equations for the generalized rotary energy conversion device. Study of d.c. and a.c. machines as particular types of the generalized device with particular emphasis on their steady state and transient external characteristics.
Energy converters: principles of control with applications of present technology. High voltages: Electrical discharges in solids, liquids and gases. Circuit breakers. Power system surge phenomena.
3 lectures, 3 hours laboratory alternate weeks, one term.
Representation of transmission line by the four line parameters. Derivation of the differential equations. Sinusoidal analysis; characteristic impedance, propagation constant, phase velocity. Terminated lines; reflection coefficient, standing wave ratio, impedance matching. Use of the Smith Chart. Telephone and power lines. Introduction to waveguides, TM and TE modes in rectangular guides, guide wavelength cutoff frequency, attenuation. The transmission line-wave guide analogy.
3 lectures, 3 hours laboratory alternate weeks, one term.
Review of modelling of dynamic properties for physical components and systems in terms of ordinary differential equations; Laplace domain models and transfer function concepts for linear systems; block diagram manipulations: analysis of linear systems with emphasis on feedback systems, in the time domain, s-domain and frequency domain; stability criteria: performance specifications and system design and compensation through analysis.
Prerequisite: GE 12, EE 51 or EE, 32.
3 lectures, 3 hours laboratory every third week, one term.
An engineering assignment requiring the student to demonstrate initiative and assume responsibility. Student activity is guided and coordinated by a faculty member. The project will be selected at the end of the IIIB term in consultation with his supervisor. The results are to be communicated in the IVB term as a written report and an oral presentation.
2 terms, 3 hours per week first term, 1 hour per week second term.
The nature and transfer of information. Information retrieval. Telemetry. Conversion and coding of information. Interfacing of computers and communication links. Treatment of errors, noise and interference. Equipment reliability. Computational and communication capacity of systems. Representation of computer programs, sampled data. Redundancy, entropy and information theory concepts.
Review of linear graph properties, state equation formulation, solution and stability by analog and digital methods, network design by computer techniques.
Low frequency transmission lines. Dynamic analysis of unbalanced power systems. Stability and transient analysis of synchronous units and coupled systems. Problems of interconnected systems: load flow and protection.
Further study of proccss dynamics and examples of control systems design from electrical, mechanical and chemical engineering. Introduction to the computer control of industrial processes.
Prerequisite: EE 81.
3 lectures, one term.
Graduate and Research Programme
Graduate credit is measured in units. A one-term course at the graduate level counts as one unit. Two units are given to graduate courses extending over two terms (certain mathematics and science courses). Credit units required for specific programs are discussed in separate sections for the M.A.Sc. and Ph.D. degree, below.
Equivalent credit may be given to students transferring from other recognized universities for appropriate graduate courses previously taken, up to a maximum of two units. Certain senior undergraduate courses at this University may be taken for graduate credit at % unit (1 unit for the EE 500 series) of graduate credit per term-course, up to a maximum of two units.
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The normal academic load is four units per term for a full-time student. Five units may be taken with special permission only. Students involved in parttime employment at the University or otherwise, must take a reduced academic load, as detailed in the separate section on financial assistance below.
A Faculty Advisor is appointed to supervise the program of study of each graduate student. A new student must meet with his advisor prior to graduate course registration to arrange his course-work program and discuss his research interests. The progress of the student will be reviewed at least once each term by the advisor. Any changes in either course-work or rescarch program must be specifically approved prior to registration in the subsequent term.
Master’s Degree Programs
The objective of the Master’s Degree program (M.A.Sc.) in Electrical Engineering is to demonstrate individual accomplishment of a high professional and academic standard. The candidate, with approval of his advisor, may elect to submit either a research thesis as a portion of the requirements, or an engineering project report of a professional calibre on a design or theoretical application problem.
The complete program submitted for the M.A.Sc. degree must consist of at least ten units of graduate credit. Suitable courses offered by other departments may be taken, as appropriate.
A research thesis may be submitted for five units of graduate credit under
ECE 699The topic of the thesis and the choice of the remaining required five
units of graduate-course work are arranged by the student and his Faculty Advisor. Each student’s program is subject to approval by the Graduate Studies Committee of the Department. The student must remain registered without interruption in EE 699 until the thesis is submitted. The research work leading to the thesis must be performed under the direction of the Faculty Advisor, and is finally approved and accepted by him.
An Engineering Project Report may be submitted for two units of graduate credit under EE 698. The topic of the report and the remaining eight units of graduate-course work are arranged by the student and his Faculty Advisor for approval by the Graduate Studies Committee. The work leading to the report must be performed under the direction of the Advisor and be acceptable to him. Credit may not be obtained for both EE 698 and EE 699.
The time limitations for a Master’s degree are four consecutive academic years for all course work and project or thesis requirements to be completed. The normal program involves three terms of full-time study, which must be extended if three or fewer units per term are taken.
Academic performance must be sufficient that the student receives an average grade of B (66-74%) or more in the course-work portion of his approved study program. At any time, a student may be required to withdraw from the program if he receives a grade of C, (60-66%) or less, in more than one course
in Electrical Engineering, or in more than a total of two course units, including minor fields.
English language requirement: A student whose mastery of spoken English is inadequate may be required to take a non-credit course in English and to pay an additional fee of approximately $25.
The Ph.D. Degree Program
The primary objective of the Ph.D. program is the accomplishment of independent and original research work and reporting thereon in a research thesis. The subsidiary requirements are completion of a suitable course-work program, passing a comprehensive examination, demonstration of reading knowledge of a foreign language, and receiving a satisfactory review by a supervising committee. All of these must be construed as contributing to the competent performance of the research objective.
Admission to the Ph.D. program is based upon the student’s academic record and evidence of ability to pursue independent research. Students must satisfy the requirements of the comprehensive examination as set out in paragraph five. No candidate will be admitted to the Ph.D. program before a Faculty Advisor willing to supervise the candidate’s research is appointed.
Minimum registration requirements for the Ph.D. degree are of two academic years from the Master’s degree level, or equivalent. The maximum time allowed is five consecutive academic years from the same level. Part-time programs are not encouraged, and students may satisfy only the subsidiary requirements of the program on a non-resident basis. A minimum of three terms of full-time resident study are required in those cases where all other requirements have previously been met on a part-time basis.
The course-work associated with the Ph.D. program is intended to provide a foundation for advanced learning in the general field of study as well as for competent research performance in some specific area. While there is no fixed requirement as to the number of credit units to be taken, aside from a usual maximum of eight units, the Advisor and the supervisory committee for each candidate will consider the level and adequacy of each candidate’s preparation in drawing up his specific program.
The Comprehensive Examination; The form of this examination varies with the applicant’s background: 1. Candidates holding master’s degrees from this university will have an oral examination. 2. Candidates having master’s degrees awarded mainly by thesis and able to present themselves for examination, may elect to be examined orally on their thesis topic. 3. Candidates may submit their results in the “Advanced test in engineering” of the ‘Graduate record examination’. * 4. Candidates may request permission to register for the M.A.Sc. If accepted they will then be required to follow three graduate courses in their first term and to obtain at least a 70% average. Successful candidates will then be registered retroactively for the Ph.D.
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The foreign language requirement is satisfied by demonstrating proficiency in reading and translating into English, technical literature in either German, Russian or French.
*The G.R-E. is administered by: ‘Graduate Record Examinations’, Educational testing service, 1947 Centre St., Berkeley, California, U.S.A. The applicant must personally arrange and pay for the test ($8 U.S.). Test centres exist at major cities in most countries.
Study of linear graphs and their associated matrices, graphs of passive and active networks. Discussion of the rank and independence of network equations; analysis of the various procedures for solution (mesh, node, node-pair, etc.). Study of several topological results useful in network synthesis. Applications of linear-graph theory in switching networks. Digital techniques are emphasized throughout.
A review of the fundamental theorems of matrix theory and linear graph theory. Formulation of system equations based upon terminal representation of components. Branch-chord equation formulation and transform methods. State-space equation formulation and time-domain methods. An introduction to constituent matrices and matrix calculus.
Topics selected may include theorems in matrix calculus, functions of matrices, computer formulation of state-space equations, Hamiltonian formulation, theorems on controllability and observability, the dual problem of control, the identification problem, topics in state-space synthesis, stochastic and time-varying parameters.
Properties of network functions. Synthesis of passive one-port and two-ports. Further topics chosen from active network synthesis, synthesis of R networks, topological network synthesis, approximation of network functions; time domain synthesis, synthesis of networks with unusual elements.
Statistical basis for the description of signals; distributions, moments, and characteristic functions; cumulative distribution functions. Sets, Lebesque measure, and the Lebesque-Stieltjes integral. Random variables, funttions of random variables, ensembles, and ergodicity. Generalized harmonic analysis; correlation functions and spectral densities, statistical properties of message ensembles and the estimation of spectra, higher order statistics and the classification of random processes. Correlation detection of very low level signals. Linear filtering; physical realizability, random signals and input-output cross-correlations; Hilbert transforms. Derivation of the
Wiener-Hopf equation, spectral factoring and the solution for optimum linear systems.
Advanced topics of information theory; coding, filtering, and the properties of information measure; signal processing by nonlinear devices, power law representation, and characterization by multidimensional convolution integrals; detection theory, matched filters and maximum likelihood decisions; information theory as applied to language studies, data retrieval, computational transformations, and the thermodynamics of communication systems; equivocation, error limits. noise and the use of stochastic signals for channel characterization.
Boundary value problems; Green’s functions, integral equations, variational techniques, Rayleigh-Ritz methods. Microwave curcuits; cylindrical waveguide mode expansion, waveguide junctions, network and impedance concepts, scattering matrix, waveguide discontinuities. Introduction to the theory of partial coherence; mutual coherence function, quasi monochromatic analysis, coherent and incoherent limits, interferometer and linear array applications.
A study in depth of selected circuits used in electronics, using both vacuum tubes and transistors. This is an analysis course in which various techniques are used, but Thevenin and Norton equivalent circuits and the pole zero approach are stressed. Analysis of such amplifier circuits as cascode, differential, operational, feedback, Darlington, etc., are included and are applied in the analysis of more complex circuits. Shortcut methods are introduced, based on these concepts.
A continuation of EE 611 to include clamping and clipping circuits, flip flops, twin T configurations, Butterworth filters, break point analysis of complex diode circuits, etc.
Sampling and quantization of data; information measure; communication entropies and mutual information; coding efficiency and redundancy; noise and error probabilities in transmission channels; block codes and error correction; channel capacity.
Hamiltonian and dynamics of linear lattices, properties of creation and annihilation operators, second quantization Umklap process, electron-phonon interaction, interference condition, Bloch integral equation, conductivity of metals at high and low temperatures, the general variation principle. Bardeen’s theory of metallic conductivity. Theory of mobility in semiconductors, deformation potential, lattice scattering, impurity scattering, impurity conduction, hot electrons.
Prerequisite: Phys. 431 or equivalent. 2 hours, one term.
Summary of principal modulation systems, unconventional modulation systems, effects on signals and noise, signal-to-noise ratio, bandwidth, effects of coding, evaluation of various signal processing techniques.
Machine solution of computational problems. Electronic representation of quantities, storage of numbers and variables. Accuracy and control. Computer system design, analogue, digital and hybrid. Circuit design, interfacing, and engineering considerations. Operation and programming. Analogue and digital differential analyzers. Introduction to computer control systems.
Consideration of the factor related to the design of communication systems; summary of the historical development of the art; system performance requirements; consideration of channel characteristics; modulation and reception techniques; comparisons of overall system configurations; criteria for optimum performance including reliability, costs, convenience, availability, and economic factors.
Collective descriptions of electron interactions, Bardeen and Pine’s theory of electron-phonon interaction in metals, Nakajima’s transformation, collective descriptions of electron-phonon interactions, effective mass theory from a many particle approach. Frohlich theory of superconductivity, Bardeen-Cooper-Schrieffer theory, Bogoliubov’s theory. Theory of Polaron, the Hamiltonian formulation, Feynman’s path integral formulation. Prerequisite: EE 614.
Physical and physiological fundamentals of audio vibrations; properties and applications of electroacoustic transducers; analysis and measurement of sound; recording and reproduction of sound, synthesis of sound.
Microwave transmission to line-of-night and in tropospheric scatter transmission systems. Meteorological aspects, refraction, diffraction reflection, geometry for smooth earth and rugged
terrain, effective earth radius, angular distance and effective distance. Methods of predicting transmission loss. Effective antennae gains, Rayleigh and Gaussian distributions, fading margins, propagation reliability. Noise levels.
Angular momentum and momentum matrices, timeindependent and time-dependent perturbations, Einstein transition probabilities, interaction between matter and radiation, line breadth, Raman effect, Larmor theorem, Zeeman and Stark effects, Dirac’s wave equation, electron paramagnetic resonance, ammonia beam maser, solid state maser, gaseous and solid state lasers, quantum tunneling through thin films and across junctions between similar or dissimilar materials.
Prerequisite: Phys. 431 or equivalent. 3 hours, one term.
Classical mechanics, systems and ensembles. The micro-economical, canonical and grand canonical ensembles. Applications to semiconductors, Fermi statistics, effects of degeneracy, multiple levels, trapping statistics. The mass action laws, chemical equilibria in semiconductors. Non-equilibrium situations. Mechanisms of recombination, generalization of the Shockley-Read model. Recombination in devices.
Resumé of physics of semi-conductors leading to d.c. and small signal a.c. characteristics of junction diodes. Discussion of depletion layer capacitance, diffusion capacitance, high level injection, charge storage and recovery, breakdown. Discussion of above effects in transistors, transit time, base width modulation, base resistance, drift transistor. Special attention will be paid to recent devices such as varactor diodes, step recovery diodes, field effect transistors.
Phase plane and state space methods of analysis of nonlinear second order and higher order systems, stability analysis by the second method of Lyapunov, describing function methods for feedback systems.
Introduction to quantitative methods of analysis for nonlinear systems, series approximations, oscillatory systems, periodic solutions and orbital stability, method of perturbation, harmonic linearization and harmonic balance, jump resonance phenomena, parametric oscillations and resonance, relaxation oscillations.
A review of the methods available for the classification, analysis, optimization, and synthesis of nonlinear systems, especially those involving random processes with second and higher order probability distributions. Optimization of certain classes of nonlinear systems and the necessity of digital techniques. Correlation and statistical in-
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put-output relationships etc., in the time domain corresponding to second-order probability relationships in the ensemble domain. Self-optimizing digital systems for stochastic processes. Mean square error linear approximations. Prerequisite: EE 607 or EE 634.
Correlation functions and spectral densities, the mean-square-error criterion and parameter optimization, Wiener- Hopf integral equations, Wiener filters, addition of mean square constraints, extension to sampled-data systems.
Introduction to Systems Engineering and computer organization, electronic design of digital data processing machines, coding of information, utilization of digital electronic devices, planning in synchronous and asynchronous systems, interface with operators and hybrid equipment.
Performance criteria, classical calculus of variations, dynamic programming, digital control systems, continuous forms of dynamic programming, multivariable control systems. Pontryagin’s Principle with examples, the two point boundary problem, computer control of processes.
The sampling process, reconstruction of sampled signals, digital integration, smoothing and predicting, z-transform, analysis of sampled data systems, state variable approach, stability, digital compensation, multi-rate sampling systems, random input signals, word lengths and quantization errors.
Prerequisite: EE 634. May be taken simultaneously. One term.
ECE 650Generalized Theory of Electromechanical Energy Conversion
Rotational transducers and energy relations; G matrix; power flow; transformations and power invariance; generalized theory applied to real machines; electrical transient performance, transient reactances, fault conditions, sustained small oscillations; excitation and transient performance of synchronous machines.
Determination of the electric field for different electrode configurations. Conformal mapping. Discharge phenomena in gases. Electrical breakdown of gases, ‘liquids and solids. Surge voltages, their origin and effects. High voltage measuring equipment and laboratory techniques.
Investigation of the static and dynamic characteristics of complete systems taken as a unit. Derivation and utilization of system parameters for computer studies of fault conditions, static load capabilities, dynamic stability and most economic operating point. Sequence parameters are developed and the sequence networks used in unbalanced load studies and relaying. Prerequisites: EE 62, EE 71.
ECE 653Static Power Conversion and Control Devices
Analysis and design of power solid state and linear and non-linear magnetic devices. Separately or in combinations, these devices cover the field of power conversion and control not handled by rotating conversion equipment. Particular emphasis will be given to the field of non-linear magnetic devices and the analysis of circuits containing them.
Directed study of a special topic of interest to the individual student; may be an experimental or design project, or an engineering application related to a particular problem. Credit given as for a course upon completion of a satisfactory engineering report. Individual supervision. Not a reading course.