114 courses in the 1970–71 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Notes
Faculty listed in 1970–71
Department of Physics J.W. Leech, B.Sc., Ph.D. (London), F inst. P.
R.A. Aziz, B.A., M.A., Ph.D. (Toronto) G.A. Bakos, B.A. (Trnava), M.A. (Bratislava), M.A., Ph.D(Toronto) F.W. Boswell, B.A., M.A., Ph.D. (Toronto)
DE. Brodie, B.Sc., M.Sc., Ph.D. (McMaster)
J.A. Cowan, B.Sc. (Manitoba), M.A., Ph.D. (Toronto)
LR. Dagg, B.Sc. (Manitoba), M.S. (Penn State), Ph.D. (Toronto) J. Grindlay, B.Sc. (Glasgow), D.Phil. (Oxon)
Details of the undergraduate programmes offered by the Faculty of Science are to be found on page 137. All courses described are one-term courses unless otherwise designated. Such one-term courses are marked *. Prerequisites are given as a guide to the student and may be waived with the consent of the instructor.
Vectors, rectilinear motion, plane motion, dynamics of particles, work and energy, linear momentum, rotational motion, statics, angular momentum, harmonic motion, gravitation, wave motion, sound waves. 3 lectures, 3 hours laboratory, for two terms.
Electric fields and potential, D.C. circuits, magnetic fields, A.C. generators and circuits, elementary electronics. The thin lens equations, diffraction, resolution of optical instruments, the eye, camera telescope and microscope, coherent light, colour, polarization, birefringence and photometry. 3 lectures, fali term.
Mechanics: the conservation laws as applied to particles and rigid bodies of simple geometry. Properties of matter: elasticity, viscous flow, diffusion, surface effects, weight. Modern physics (excluding topics covered in Chemistry 131): atomic and nuclear models, radioactivity, the detection and uses of radiation, dating. Heat flow and elementary thermodynamics. 3 lectures, winter term.
Introduction to mechanics, motion of particles, conservation of energy and momentum, rotational motion. Prerequisite: Mathematics A. 3 lectures, 3 hours laboratory or 2 hours tutorial, fall term.
This course is a continuation of Physics 121. Vibrations, waves, gravitation, heat and thermodynamics, properties of materials. Prerequisite: Physics 121*. 3 lectures, 3 hours laboratory or 2 hours tutorial, offered in winter and spring term.
A survey course in descriptive astronomy intended for non-science students. The solar system, stars, the galaxy, galaxies and the universe. No prerequisite. 3 lectures, for one term only.
Vectors, rectilinear motion, plane motion, dynamics of particles, work and energy, linear momentum, rotational motion, angular momentum, statics, additional enrichment topics such as special relativity. Prerequisites: At least a 75% average in Grade 13 Physics and Math A. 3 lectures, 3 hours laboratory or 2 hours tutorial, fall term.
This course is a continuation of Physics 162. Harmonic motion, gravitation, wave motion, sound waves, temperature, heat, first and second laws of thermodynamics, kinetic theory of gases, addition enrichment topics such as quantum concepts. Prerequisite: Physics 162*. 3 lectures, 3 hours laboratory or 2 hours tutorial, offered in winter and spring term.
Electrostatics, D.C. circuits, magnetic fields. Prerequisites: Physics 121* and 122* or equivalent; Mathematics 130. 2 lectures, 3 hours laboratory and 2 hours problems on alternate weeks, fall term.
Reflection and refraction at plane and curved surfaces, thin and thick lenses, optical instruments. Prerequisites: Physics 121* and 122* or equivalent, and Mathematics 130. 2 lectures, 3 hours laboratory on alternate weeks, fall term.
Electrostatics, D.C. circuits, magnetic fields, electromagnetic induction, A.C. circuits, electrical measurements. Prerequisites: Physics 121* and 122* or equivalent, Mathematics 130. 3 lectures, 3 hours laboratory alternate weeks, offered in fall and spring terms.
Background of quantum physics: special relativity, Bohr atom, wave-particle properties, uncertainty and wave packets. Introduction to quantum mechanics: equation for travelling wave, Schrodinger equation, solutions with potentials, correspondence principle,, brief description of transitions and radiaton processes. Kinetic theory, basic statistical mechanics, Boltzmann distribution, elementary X-ray diffraction. (Not for General Students.) 2 lectures, for 2 terms.
Aspects of the sky; motions of the earth; the earth and moon; the planets; the sun; gravitational astronomy; comets, meteors and meteorites, Prerequisites: A first year physics course and Mathematics 130, or consent of instructor. 3 lectures, fall term.
The stars; stellar motions; clusters; the structure of the Milky Way; exterior systems; cosmogony; radio astronomy. Prerequisite: A first year physics course and Mathematics 130, or consent of instructor. 3 lectures, offered in winter and spring terms.
Electrostatic fields, potential, steady currents, magnetic fields. Prerequisites: Physics 121* and 122* or 162* and 163*; Mathematics 130. Corequisite: Mathematics 237. 2 lectures, 1 hour of problems (3 hours laboratory on alternate weeks for students not taking Physics 260*), offered in fall and winter terms.
Induced electromotive forces, magnetic properties of materials, time-varying current, electromagnetic waves. Prerequisites: Physics 252*, Mathematics 31*. | hour of problems (3 hours laboratory on alternate 2 lectures, weeks for students not taking Physics 261*), offered in fall, winter and spring terms.
Background of quantum physics: special relativity, Bohr atom, wave-particle properties, uncertainty and wave packets. Introduction to quantum mechanics: equation for travelling wave, Schré- dinger equation, solutions with potentials, correspondence principle, brief description of transitions and radiation processes. Prerequisites: Physics 121* and 122* or Physics 162" and 163* and Mathematics 130. 3 lectures, offered in fall, winter and spring terms.
Reflection and refraction at plane and curved surfaces; thin and thick lenses, optical instruments, The wave nature of light, interference, diffraction, slits and gratings, resolution. Polarization, optical activity, photometry. Prerequisites: Physics 121* and 122* or 162* and 163*, Mathematics 130. 3 lectures, first term (3 hours laboratory alternate weeks for students not taking Physics 260*), offered in fall and winter terms.
Electronic structure of atoms and atomic bonding, crystal structure and space lattices, symmetry, crystal geometry, stereographic projections, theory of X-ray diffraction, X-ray methods, crystal formation, crystal defects, physical properties of crystals. Prerequisites: Physics 121* and 122* or 162* and 163*, Mathematics 130. 3 lectures (3 hours laboratory alternate weeks for students not taking Physics 260*), offered in fall, winter and spring terms.
Selected experiments in electricity and magnetism, optics, X-ray diffraction and astronomy. 3 hours laboratory, offered in fall and winter terms (for students who are taking Physics 252* and 256*.)
Further selected experiments in electricity and magnetism, optics, X-ray diffractions, and astronomy. This course is recommended for students enrolled in Physics 250*, 251* and Physics 259*. 3 hours laboratory, offered in fall and winter terms.
Fundamentals of modern physics, special theory of relativity, quantization of electromagnetic radiation, wave properties of particles, the hydrogen atom, atomic and X-ray spectra. Prerequisites: Physics 222*, 223*, 226* and 227*. 3 lectures, offered in fall and spring terms.
Atomic and molecular spectra, forbidden and permitted transitions. Emission and absorption of radiation. Planck, Saha and Boltzmann equations. Line broadening effects. Radiation transfer theory. Sources of opacity. The spectra of the sun and stars. Prerequisites: Students should be in third or fourth year of Science, Mathematics or Engineering, or obtain consent of instructor. Offered in the fall term of odd-numbered years to third and fourth year students. 3 lectures.
Physical properties of the stars. Stellar distance determination. Distribution of the stars in space. The solar motion. Galactic rotation. Stellar dynamics. Characteristics and structure of our galaxy and external systems. Prerequisites: Students should be in third or fourth year of Science, Mathematics or Engineering, or obtain consent of instructor. A one-term course offered in winter and spring terms of evennumbered years to third and fourth year students. 3 lectures.
A survey of tube, transistors and solid state devices. Basic A.C. circuit theory, power supplies, equivalent circuits, amplifiers and feedback. Prerequisites: Physics 252* - 253* or 243* and Mathematics 31*. 3 lectures (3 hours laboratory, alternate weeks for students not taking Physics 360*), offered in fall, winter and spring terms.
Applications of feedback to oscillators, operational amplifiers, analogue computers and multi-vibrators. Introduction to digital circuits. Prerequisite: Physics 352*, 2 lectures (3 hours laboratory, alternate weeks, for students not taking Physics 371*), winter term.
Thermodynamic systems, equations of state, the laws of thermodynamics with applications. Change of phase. Prerequisites: Mathematics 237 and Physics 162* and 163*. 3 lectures, offered in fall and spring terms.
Selected experiments in mechanics, heat, sound, optics, spectroscopy, X-ray, atomic physics, electricity, magnetism, and electronics. 6 hours laboratory, offered in fall, winter and spring terms.
Foundations of Newtonian mechanics. Dynamics of a particle, harmonic oscillator, central force motion, conservative force, potential energy. Dynamics of a system of particles, conservation laws. Prerequisites: Physics 162* and 163*, Mathematics 130, 237 and 31*. 3 lectures, offered in fall and spring terms.
Introductory topics on the physics of the earth. Seismology and the earth’s interior. Thermal history of the earth, gravity and isostasy. Origin of the continents and continental drift. (Identical to Earth Sciences 368*.) Prerequisite: Mathematics 130. 2 lectures, fall term.
The geology of the ocean basins. Topics in physical oceanography. Physical properties of ocean water, heat budget of the world oceans. Oceanic circulations. Coriolis effects, Some idealized current regimes. (Identical to Earth Sciences 369*.) Prerequisite: Physics 368*. 2 lectures, winter term.
Energy production, transport and release in cells; structure of large molecules and their replication, genetic code, control of intracellular processes. Prerequisites: Mathematics 31*, Physics 252* and 253*; First year Chemistry. 3 lectures, fall term.
Review of Lagrangian formulation of mechanics. Rotation of a rigid body; the inertia tensor; Hamilton’s principle; Hamilton’s equations. Classical theory of small vibrations. Dynamics of deformable matter; elasticity; hydrodynamics. Prerequisites: Physics 362*, 363*, 364* and 365*. 2 lectures for two terms, fall and winter.
Review of vacuum tube electronics. Statistics of electrons in semiconductors, transport properties, minority carrier injection, theory of p-n junctions, transistors, tunnel diodes, field effect devices. Applications. Prerequisite: Physics 259*. 3 lectures, winter term.
An experimental] research project. This course is designed for students in the Honours Physics Programme and in the Cooperative Applied Physics Programme, and enrolment may be limited to twenty-five students. 6 hours laboratory, for two terms, fall and winter.
Applications of wave mechanics; the harmonic oscillator, the hydrogen atom. Angular momentum. Scattering. Perturbation theory, transitions, the multi-electron atom. Prerequisite: Physics 255* and 355*. 2 lectures for two terms, fall and winter.
Crystal structure and space lattices, symmetry, crystal geometry. Defects. Physical properties of crystals, Free electron theory of metals, band theory, properties of semiconductors and insulators. Prerequisite: Physics 259*. 3 lectures, fall term.
Functions of a complex variable. Integral transforms (Fourier, Laplace). Integral equations, Green’s functions. Prerequisite: Physics 364* and 365*. 2 lectures, for two terms, fall and winter.
Selected subjects for advanced study by theoretically inclined students; topics in relativistic, quantum, and statistical physics. 3 hours per week, second term.
A more advanced discussion of seismology and the internal constitution of the Earth, mechanical properties of the Earth’s interior, figure of the Earth and its gravitational field, temperature and thermal history of the Earth, internal magnetic field of the Earth and its electrical properties at depth, the rotation Of the Earth and its geophysical effects. 2 lectures, for two terms, fall and winter.
A generalized treatment of the basic laws of electricity and magnetism; mathematical techniques for the problems of electrostatics; solutions of Maxwell’s equation in free space and the study of plane waves; theory of waveguides and introduction to radiation. 2 lectures, for two terms, fall and winter.
A survey with emphasis on the physical properties and behaviour of metals and alloys. Elastic and plastic deformations of crystals. Solidification, structure of alloys, free energy of alloy systems, equilibrium diagrams, diffusion, solid state phase transformations. Prerequisite: Physics 259*. 3 lectures, fall term.
An introduction, with applications in the areas of elasticity and hydrodynamics. (The electromagnetic field is discussed in Physics 441.) Topics covered are—the conservation laws; field equations; boundary conditions. Equations of state; invariance, material symmetry. Methods of solution; application to fluid and elastic systems with simple geometries. 3 lectures, winter term.
Radio telescopes. Radio sources including the sun. H 2 regions. H 1 regions. The galactic centre; pulsars; quasars; other extra-galactic sources; cosmological implications. Prerequisites: Same as Physics 350*. Offered in the fall term of even-numbered years to third and fourth year students. 3 lectures.
Solar system astrophysics. The solar photosphere, chromosphere and corona. The solar magnetic field and solar activity. The solar spectrum. Interplanetary gas. Physics of comets, meteors, asteroids. Planetary interiors. Planetary atmospheres, terrestrial and Jovian. The moon and other satellites. Origin and evolution of the solar system. Prerequisites: Same as Physics 350*. Offered in the fall term of even-numbered years to third and fourth year students. 3 lectures.
The structure of stellar interiors; nuclear reactions and energy sources in the stars of the main sequence; early evolution of stars from the main sequence. Lifetimes of the stars. Prerequisites: Same of Physics 350*. Offered in the winter and spring terms of odd-numbered years to third and fourth year students. 3 lectures.
The effect of radiation of various kinds of cells and tissues; exposure calculations, mechanism of damage, repair theories, genetic effects, target theory; isotopic tracers in biophysical research. Prerequisites: Physics 232 and Mathematics 236 or equivalent. 3 lectures per week, fall term.
PHYS 481Biophysics of Organ Systems See page 136 for general information Astrophysics Biophysics Geophysics Laser Research Low Temperature Physics Microwave Research Magnetic Resonance and Neutron Diffraction Spectroscopy
Special senses, biological transducers, information handling in the central nervous sytem, theories of muscle contraction: physics of homeostasis, interactions with the environment, circulation of blood, temperature regulation, respiration, and transport problems. Prerequisites: Physics 222*-223* and Mathematics 236 or equivalent. 3 lectures, winter term.
Graduate Studies and Research Programmes
There are at present several major areas of study in the Department in which graduate students may specialize. These include.
Stellar evolution in galactic clusters, radial velocities and spectral analysis, galactic structure.
Radiation biophysics of synchronized cell cultures. Thermodynamics of intra-cellular movement.
Physical limnology of the Great Lakes.
Solid state injection lasers, laser-produced plasmas.
Experimental studies of condensed inert gases, liquid helium, superconductivity, energy gap and Fermi surface determinations.
Dielectric constant measurements. Field induced absorptions, microwave spectometry.
Physical properties of solids, particularly ferroelectrics, are studied by these methods.
Raman and Brillouin scattering, far infra-red absorption.
378 § Physics of Lattice Defects Thin Film Physics Theoretical Physics +620 Quantum Mechanics 1 +621 Quantum Mechanics 2
Department of Physics
Layer structures, properties of vacancies and impurities.
Epitaxial, anodic oxide, and semi-conducting films, active thin film devices.
Theory of liquids, the elastic dielectric, electronic states in crystals and molecules, colour centers, phonon dispersion curves, polymers, super-conductivity, liquid helium.
Graduate Course Descriptions
All graduate courses are three lectures per week for one term. Those indicated (+) are available every year, others are given when required.
A second course in the subject involving a re-examination of the principles of wave and matrix mechanics and applications to more complicated systems. Prerequisite: Physics 434 or equivalent. Fall term.
Semi-classical treatment of radiation, Identical particles and spin. Atoms and molecules. Scattering. Dirac equation. Quantization of the electromagnetic field. Low order radiation processes. Prerequisite: Physics 620, winter term.
Introduction to group theory; groups, representations of groups, character tables. Group theory and quantum mechanics, the permutation and rotation groups. Applications of the theory to atomic spectra, the theory of angular momentum. Molecular symmetry and solid state physics.
Dirac theory; the single particle description of relativistic quantum mechanics; bound state and scattering problems, the need for a many-particle (field) approach. Classical relativistic field theory. The radiation field, the electron field. Interaction of these fields. The §-matrix; Compton scattering, Coulomb scattering. The magnetic moment of the electron, the Lamb shift. Renormalization.
Vibrational and rotational spectra of simple molecules; symmetry considerations and selection rules; spectra of condensed phases; brief survey of instruments and techniques of microwave, infrared and Raman spectroscopy.
PHYS 642Electron Microscopy and Electron Diffraction +645 Statistical Mechanics
Introduction to electron optics and the electron microscope, kinematica] and dynamical theories of electron diffraction by perfect crystals and by crystals containing lattice imperfections, limitedarea-electron-diffraction, dark-field microscopy, interpretations of electron-diffraction patterns and diffraction-contrast effects in electron microscope images, selected experimental methods in electtron microscopy.
Review of essential classical and quantum mechanics; microcanon ical, canonical and grand canonical ensembles; quantum statistical mechanics, theory of the density matrix; fluctuations, noise, irreversible thermodynamics; transport theory; application to gases, liquids, solids.
Production and measurement of very low temperatures. Low temperature materials and techniques. Thermal, magnetic and electrical properties of matter at very low temperatures, Superconductivity. Liquid helium.
Perfect and imperfect crystals, general properties and origins of point defects and dislocations, stacking faults, interactions of imperfections, influence of lattice imperfections on physical properties and their role in deformation of crystals and phase transformations, experimental detection and observation of imperfections.
Electron processes in crystals, photoconductive processes. Electrode effects, imperfection and energy band transitions, scattering, traps and trapping effects. Recombination kinetics, luminescence. Experimental methods and analysis.
Reflection and refraction of electromagnetic waves at dielectric and conducting interfaces. Dispersion, absorption processes, photo effects, magneto-optical effects, emission of radiation.
Basic magnetic resonance theory; magnetic nuclear dipolar broadening of rigid lattices, nuclear spin-lattice relaxation. Electron paramagnetic resonance. Electron spin-lattice relaxation. Fall term.
The phenomenological theory of the elastic, dielectric and thermal properties of crystals. Classical field theory—linear and non-linear; field equations and boundary conditions; equations of state; material symmetry. Thermodynamics; thermodynamic identities; phase transitions. Applications to the ferroelectric crystals.
Review of essential quantum field theory; zero and finite temperature; Green’s functions. Applications to Fermi liquids, electronphonon problem, superconductivity and magnetic impurities.
PHYS 661Advanced Nuclear Magnetic Resonance of Solids
General theory of magnetic resonance absorption; method of Kubo and Tomita; dynamical theory of nuclear induction; shape of absorption lines for crystals. Magnetic interactions of nuclei with electrons, electric quadrupole effects. Prerequisite: Physics 657 or equivalent, Winter term.
Macroscopic properties and phenomenological theories. Electronphonon interaction, Cooper pairs and BCS theory. Applications of BCS theory especially to electron tunnelling.
The physics of cellujar structure and function; membrane theories, diffusion and active transport, bioelectric phenomena; intracellular motion, thermodynamics; selected topics of current interest and seminar.
Specialized cells and organs; the nerve impulse and its propagation, muscle contraction, sensory transducers, the central nervous system; haemodynamics, the red blood corpuscle, homeostasis; selected topics of current interest and seminar.
Physical methods of determining macromolecular structure; energetics, intramolecular and intermolecular forces, information storage, DNA and RNA, recognition and rejection of foreign molecules.
Physical properties and biological effects of different kinds of radiation; action of radiation on various cellular constituents; target theory, genetic effects, repair of radiation damage, physics of radiology and radiotherapy, isotopic tracers.
This course is designed to give students, especially those taking a degree based on course work alone, a survey of research going on in Biophysics today. It will involve reading in the current periodical literature, essays and student seminars describing work being done in specific fields, a search of the literature associated with a research area of interest to the student, and faculty lectures on selected topics.
Students who will not present a thesis as part of their M.Sc. programme are encouraged to take this course. They will be expected to become a part of each in turn of the various research projects currently under way in the laboratory for long enough to become familiar with the purpose of the project and with the techniques involved. They will then be asked to undertake and write up a small research project under the supervision of one of the project leaders in the Biophysics laboratory.
Tensor analysis: covariant and contravariant tensors, covariant differentiation. Riemmanian space, geodesics, Ricci tensor, Christoffel symbols. General relativity: gravitation and special relativity, equivalence principle, field equations of general relativity, Schwarzchild metric, observational evidence for the general theory. Cosmology: Newtonian, Einstein and de Sitter universes, the expanding universe, cosmological principle and steady-state universe, observational clues.
Introduction to statistical theory and distribution laws. Statistical theory of the galactic system. Stellar motions in the solar vicinity. Galactic rotation. Space distribution of stars and their relation to the galaxy. Distribution of various galactic objects. Application to extra-galactic systems.
Spherical Trigonometry. The celestial sphere. Determination of Position. Precession and nutation. Orbital behaviour of planets and stars. Application to double star theory. The analysis of visual binary orbits. Spectroscopic and eclipsing systems. The mass, luminosity and radii of binary stars.
The three-body and n-body problems. Surfaces of constant velocity. Libration points for circular orbits. Theory of perturbations. The lunar theory. Application to satellite orbits.
The fundamental astronomical data; the techniques to obtain it and the shortcomings present. The classification systems. Wide and narrow band photometric systems. The intrinsic properties of stars, colours, luminosities, masses, radii, temperatures. Variable stars. Distance indicators. Interstellar reddening. Related topics.
Theory and practice of astronomical spectroscopy. Identification, line and band intensity measurements. Classification of normal and peculiar spectra. The interpretation of spectra of observed astronomical sources. Spectral classification systems at high and low dispersions.
685 Selected Topics in Astronomy
686 Selected Topics in Astrophysics
687 Stellar Atmospheres
Theory of the stellar photosphere and the continuous spectra of stars. The formation of absorption and emission lines in stellar spectra. Determination of ionic abundances, surface pressure, surface temperature from spectra. The spectra of planetary and interstellar nebulae. Computation of model atmospheres.
The theory of stellar interiors and nucleogenesis. Chemical synthesis in stars. Evolution of stars from the pre-main sequence stage to the white dwarf stage. The influence of mass and chemical abundance of the structure and evolution of stars. Instability in evolving models. Computation of stellar models.
L.G.E. Edmondson, B.Soc.Sc. (Birmingham), M.A. (Queen's) C.H. Grant, B.A., M.A. (Leicester), Ph.D. (Edinburgh)
R.J.C. Preece, B.A. (Leicester)
Undergraduate Programmes
The Department of Political Science offers a series of undergraduate programmes designed to meet the needs of students with varying interests.
Students choosing a three-year General programme in Political Science (see the University’s requirements for the General Programme on page 23) must complete, before graduation, Political Science 260 and one of Political Science 220 or 320.
Students choosing an Honours Programme in Political Science (see page 43) must complete, before graduation, a course in International Politics, Political Science 260, and one of Political Science 220
or 320. Honours students may elect to pursue a series of connected courses as a minor programme in a related discipline such as Economics, History, Philosophy, Psychology or Sociology in consultation with the departments involved.
A number of joint Honours Programmes have been arranged for students who wish to obtain a broad training in related disciplines. These are.
a) Honours Anthropology and Politicial Science (page 25)
b) Honours Economics and Political Science (page 26)
c) Honours French and Political Science (page 33)
d) Honours History and Political Science (page 39)
e) e) Honours Philosophy and Political Science (page 42)
f) Honours Political Science and Psychology (page 44)
g) Honours Political Science and Sociology (page 44)
Joint honours programmes other than those specified may be arranged by consultation with Political Science and the department concerned.
The Department will be glad to recommend a connected series of courses in Political Science beyond the first year for students majoring in related disciplines.