MSCI 610 Quantitative Simulations (a) Introduction to Modelling
(b) Socioeconomic Systems.
Management Sciences (MSCI)
37 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.
Notes
(a) Vector Algebra to Linear Programming; Variational Methods to Dynamic Programming.
(b) Statistical Decision Theory; Stochastic Processes.
MSCI 615 Management Decision-Making Laboratory
Participation in analysis, planning, and decision-making under competitive and fast-time stress using functional and industrial simulations.
2 hours per week.
1 term.
MSCI 618 People, Machines and Organizations
Interpersonal and group behaviour in systems of people and machines; phenomena of perception, communication, learning, decision-making, morale, conflict resolution, and goal-seeking. Problems in perceiving and modelling behaviour; the human factor in organization design.
Function-oriented Courses
MSCI 620 Introduction to Marketing
Techniques in market research, product, and market analysis; modelling of consumer and industrial market behaviour; competitive strategy in marketing planning; distribution systems design; sales forecasting. Economics of information sampling and consumer surveys.
MSCI 630 Introduction to Production
Techniques of production planning and control; models of aggregate production and workforce, interaction of production and inventory control; scheduling algorithms.
MSCI 632 Operations Research in Processing Industries
Systems representation of single and multi-unit processing facilities, experiment design to measure system parameters; simulations including economic factors; sensitivity analysis, production planning and control; capital resource evaluation; process optimisation.
MSCI 640 Strategies of Research and Development
Review of factors influencing the effect of research and design on a business or national economy. Economic measurement; information flow; organization theory; psychology of discovery and innovation. Case histories of technological changes.
MSCI 650 Introduction to Information Processing
The nature of information as a product of complex systems; element and rule concepts; decision tables; document tracing; report generation; communication networks; data banks; decisionorganization and work flow relationships; generalized study of the creation of an information system; nature and role of EDP in an information system; information retrieval.
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Management and Systems Engineering
MSCI 652 Advanced Information Processing
The nature of a system; system elements and relationships; structuring a business system; management objectives, organizational concepts; the information system; integrated systems — a “personnel” case in depth; organizing a data processing centre; task force selection and training, hardware selection; satellite computer systems; teleprocessing; data linkages and sub-systems; the total system concept.
MSCI 660 Introduction to Corporate Finance
Capital Sources; investment psychology, strategic and probabilistic considerations in financial planning.
MSCI 662 Advanced Corporate Finance
MSCI 665 Introduction to Corporate Law
Legal concepts as expressed in laws pertaining to company organization, contracts, securities, marketing, and patents. Court administration and procedure. Information retrieval and O.R. applications in legal and legislative procedures.
Advanced Methodology
MSCI 680 Advanced Stochastic models
Properties and characteristirs of stochastic models, with emphasis on Markov and Poisson process, queuing theory models and applications.
MSCI 682 Network Methods
Advanced network methods, with maximal flow algorithms, as related to production control, plant location.
MSCI 684 Advanced Mathematical Programming
Review of non-linear, quadratic, and integer programming, also convex programming. Extension of linear programming with possibly non-linear objective functions and constraints; and integer solutions.
MSCI 686 Quantitative Economics and Econometrics
Local, regional and national economic planning for developing and industrial economies, using quantitative models.
Advanced Integrative Courses
MSCI 690 Corporate Planning
Modellii:g as an approach to problem identification and solution in corporate pianr’:.g: organization, capital budgetting, forecasting. Case studies in corporate development, dynamics of growth and contraction, strategic decision making.
MSCI 692 Public Sector Management
Operations and systems analysis in public administration: police, health services, education, monetary and fiscal control, defense, public works. Case studies in governmental and institutional decisionmaking.
MSCI 692 Evaluation of Current Research
Seminar: review of current literature in Operations Research, Systems, Management Science, etc.
MSCI 697 Project
MSCI 698 Specially-Directed Studies
MSCI 63S Thesis
Research Aciivities in Management and Systems Engineering
IL Industrial Systems Engineering.
Il. University Planning and Systems Studies. iui. Accident Occurrence and Prevention. IV. Methodology in Quantitative Methods. V. Socio-Economic Systems.
VI. Educational Development.
VII. Studies of Research and Development (as a process; as a sector of society).
: . iii. People, machines, and organizations (human behavioural and mechanical
factors in systems design, operation, evolution).
MSCI 246 Fluid Dynamic Laboratory
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Faculty of Mathematics
Department of Applied Analysis and Computer Science
D. D. Cowan, B.A.Sc. (Toronto), Ph.D. (Waterloo) Associate Professor and Chairman of the Department J. Aczel, Ph.D. (Budapest), Habil. D.Sc. (Hung. Ac. of Science) Professor
$. Golab, Ph.D., D. Habil. (Krakow) - - - Visiting Professor J. W. Graham, M.A. (Toronto). Professor and Director of Computing Centre H. Haruki, Ph.D. (Osaka) - - - - Professor M. A. McKiernan, M.A. (Loyola), Ph.D. (Illinois Institute of Technology)
. Professor J. D. Lawson B.A.Sc. (Toronto), Ph.D. (Waterloo) Associate Professor P. C. Jennings, B.A. (Utah), Ph.D. (Texas)
Assistant Professor (Psychology and Mathematics)
J. C. Wilson, B.A.Sc. (Toronto), Ph.D. (Waterloo) Assistant Professor P. Brillinger, B.Sc. (McMaster), M.A. (Waterloo) - - Lecturer Pp. H. Cress, B.Sc. (Toronto), M.Sc. (Waterloo) - - Lecturer P. H. Dirksen, M.Sc. (Waterloo) = - - - - - Lecturer J. G. Kent M.Sc. (Oslo) - - - - - Lecturer B. L. Ehle, B.A. (Whitman College), M.S. (Stanford) Lecturer( part-time)
Department of Applied Mathematics
P. J. Ponzo, M.A. (Toronto), Ph.D. (Illinois)
Associate Professor and Chairman of the Department H. F. Davis, Ph.D. (Massachusetts Institute of Technology) - Professor K. Maruhn, Ph.D. (Leipzig), D. Habil. (Berlin) - Visiting Professor C. F. A. Beaumont, B.A. (McMaster), M.A. (Toronto) Associate Professor and Associate Dean of the Faculty of Mathematics
J. Froese, B.A. (Manitoba), M.A. (Queen’s), Ph.D. (British Columbia) Assistant Professor
R. A. Wentzell, B.Sc. (Acadia), Ph.D. (Western) - Assistant Professor E. G. Butz, B.Sc. (Toronto), M.A. (Waterloo) - - Lecturer D. W. Trim, M.Sc. (Waterloo) - - - - - Lecturer
Department of Combinatorics and Optimization
G. Berman, Ph.D. (Toronto) Professor and Chairman of the Department C. A. B. Smith, Ph.D. (Cambridge) - - - Visiting Professor W. T. Tutte, Ph.D. (Cambridge) - - - - - Professor R. C. Mullin, B.A. (Western), Ph.D. (Waterloo) - Associate Professor J. W. Dodd, B.A.Sc. (Toronto), M.Sc. (Waterloo) - - Lecturer G. B. Faulkner, B.Sc. (Toronto), M.Sc. Waterloo) - - Lecturer R. A. Honsberger, B.A. (Toronto) - - - - Lecturer E. Koch, M.A. (Waterloo) = - - - Lecturer P. L. J. Ryall, B.Sc. (London), M.A. (Cambridge), ASA. - Lecturer
P. J. Schellenberg, M.A. (Waterloo) - - - - Lecturer H. I. McIntosh, B.A. (Toronto), F.S.A. (American Society
of Actuaries) - - - - Adjunct Professor G. N. Robertson, M.A. (Manitoba) - - - Lecturer (part-time)
Department of Pure Mathematics
D. G. Wertheim, B.A. (McMaster), Ph.D. (Toronto) Professor and Chairman of the Department G. E. Cross, M.A. (Dalhousie), Ph.D. (British Columbia) - Professor K. D. Fryer, B.A. (Western), Ph.D. (Toronto) - - - Professor and Associate Dean of the Faculty of Mathematics L. J. Mordell, M.Sc., M.A. (St. John’s College, Cambridge).
F.R.S. (London) - - - - - Visiting Professor H. H. Crapo, A.B. (Michigan), Ph.D. (Massachusetts Institute of Technology) - - - - - Associate Professor
P. de Witte, Ph.D. (Brussels), Logic & Foundations - Associate Professor A. Kerr-Lawson, B.A. (Toronto), S.M. (Chicago), Ph.D. (McMaster) Associate Professor R F
. A. Staal, Ph.D. (Toronto) - - - Associate Professor
. C. Y. Tang, B.Sc. (Hong Kong), M.S. (South Carolina), Ph.D. (Illinois) - - - - - Associate Professor E. R. Bishop, B.Sc. (Acadia), M.Sc. (Queen’s) - Assistant Professor D. Higgs, B.Sc. Hons. (Rand), M.A. (Cantab.) - Assistant Professor P. Hoffman, B.A. (Toronto), Ph.D. (Manchester) - Assistant Professor D. J. Miller, B.Sc. (McMaster) - - - Assistant Professor E. M. Moskal, B.A. (Toronto), Ph.D. (Illinois) - Assistant Professor
K. A. Rowe, B.A. Toronto), M.S. (Wisconsin), Ph.D. (Illinois) Assistant Professor J Wilkinson, Ph.D. (California Institute of Technology) Assistant Professor
S. Aczel (Mrs.), M.A. (Szeged) - - Assistant Professor (part-time) J. Malzan, M.A. (Toronto) - - - - - - Lecturer J. P. McClure, M.Sc. (Waterloo) - - - - - Lecturer B. S. Thomson, B.Sc. (Toronto), M.Sc. (Waterloo) - - Lecturer J. K. Vranch, M.Sc. (Waterloo) - - - - - Lecturer
Department of Statistics
D. A. Sprott, Ph.D. (Toronto) Professor and Chairman of the Department and Dean of the Faculty of Mathematics W. F. Forbes, D.LC., Ph.D., D.Sc. (London) Professor (Chemistry and Mathematics) J. S. Minas, B.A. (Wayne), Ph.D. (Illinois) Professor (Philosophy and Mathematics) G. W. Bennett, Ph.D. (Adelaide) - - - Associate Professor M. D. Vogel-Sprott, B.A. (McMaster), Ph. D. (Toronto) Associate Professor (Psychology and Mathematics)
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Faculty of Mathematics
J. G. Kalbfleisch, B.Sc. (Toronto), Ph.D. (Waterloo) Assistant Professor (Psychology and Mathematics)
R. V. Thysell, B.S. (Montana), Ph.D. (State University of Iowa) Assistant Professor (Psychology and Mathematics) A. C. Madgett, B.Sc. (Toronto), M.A. (Waterloo) - - Lecturer C. Springer, M.Sc. (McGill) - - - - - Lecturer M. Behara, M.Sc. (Utkal), Dr.rer.oec. (Saarland), F.S.S.. Adjunct Professor
Undergraduate Course Descriptions
Note: The number of hours or lectures shown after the course description is an attempt to indicate the “normal”; each instructor determines how often his particular class will meet
MSCI 12 Calculus I
Functions and limits, the derivative. Differentiation formulae. Applications to tangents, rates, extremes. The indefinite and definite integrals, fundamental theorem of integral calculus. Applications to area, volume, centroids, moments of inertia, fluid pressure, work, potential. Introduction to the trigonometric, inverse trigonometric, exponential, logarithmic functions. Transcendental functions. Parametric and polar equations. Formal integration and applications to physical problems. Students will work selected problems under supervision. A certain proportion of the problems will include mathematical formulation of physical problems.
3 lectures, 2 hours problems.
MSCI 21 Algebra and Solid Geometry
The rational, real, and complex number systems. Polynomial functions. Theory of equations. Determinants. Vector and matric notation. Co-ordinates in three dimensions. Systems of planes and lines. Standard equations of quadric surfaces. Spherical and cylindrical co-ordinates. 2 lectures, 1 hour problems.
MSCI 22 Calculus II
A continuation of course 12. Infinite series and power series. Partial derivatives. Multiple integration and applications to areas, volumes, centroids, moments. Introduction to differential equations.
Prerequisite: Math 12.
3 lectures, one term.
MSCI 23 Numerical Methods
Introduction to the use of desk calculators. Simple problems on interpolation, solution of algebraic equations, numerical evaluation of integrals, systems of equations.
1 lecture, 2 hours problems, one term.
MSCI 24 Mathematics Problems
A problem course to accompany Math 22. 2 hours problems, one term.
MSCI 31 Differential Equations
Standard methods of solution. Applications to physical and engineering problems. Linear equations with constant coefficients. Systems of differential equations. Solution by series. Numerical methods of solution. Partial differential equations; applications of partial differential equations.
Prerequisite: Math 22.
3 lectures, one term.
MSCI 32 Numerical Analysis
Ordinary, divided, and central difference interpolation formulae. Graphic and numerical solutions of algebraic and transcendental equations. Computation with series and integrals. Systems of linear equations. Determinants and matrices. Eigenvalue problems. Iterative procedures. Relaxation methods. Difference equations. Mathematical principles associated with electronic computers.
Prerequisite: Math 23.
2 Jectures, 2 hours problems, one term.
MSCI 33 Differential Calculus
Real numbers, sequences, limits, continuity. The derivative. General Theorem of Mean Value. Functions of several variables. Implicit functions, Jacobians. Power series with complex terms, the Taylor series for functions of several variables. constrained extrema. The elementary functions for a complex variable.
Prerequisites: Math 22, 31.
3 lectures, one term.
MSCI 34 Integral Calculus
Systematic treatment of formal integration. Differential equations. Calculus of variations. Fourier series. Riemann integration, improper integrals, multiple integrals with applications. Line integrals, theorems of Green and Stokes.
Prerequisites: Math. 21, 31.
3 lectures, one term.
MSCI 41 Applied Analysis I
Partial differentiation, Laplace transforms, special functions. Fourier series, second order differential equations. 3 lectures, one term.
MSCI 42 Vector Methods
Scalar and vector products; curl, divergence, and gradient. Use of vectors and matrices in discussion of physical problems in mechanics, fluid flow, and electromagnetism. Introduction to tensors. Prerequisites: Math 22, 31, and consent of instructor..
2 lectures, 1 hour problems, one term.
44, Complex Variable. Cauchy-Riemann equations, the Cauchy integral theorems, conformal mapping, the Taylor and Laurent series, contour integration. 2 lectures, 1 hour problems, one term.
MSCI 45 Applied Analysis II
A continuation of some topics listed in Math. 41, complex variables, calculus of variations. 2 lectures, one term.
MSCI 51 Probability and Statistics
Frequency distributions; probability; Binomial. Normal, and Poisson laws. Sampling theory. Chi squared, F and t distributions. Hypothesis testing, quality control, regression theory. Curve fitting. Analysis of variance, introduction to experimental design.
Prerequisite: Math 22.
2 lectures, 3 hours problems, one term.
MSCI 52 Mathematical Probability
Probability distributions, recurrent events, 250
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