SYDE 110 Calculus 1
Functions and limits, the derivative, Differentiation formulae.
69 courses in the 1971–72 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
473
Department of Systems Design
HLK. Kesavan, B.Sc, B.E. (Mysore), M.S. (Illinois), Ph.D (Michigan State) T.M. Fraser, M.D., Ch.B. (Edinburgh, M.Sc. Ohio State), L.M.C.C., FACP.M. V.K. Handa, BSc. (Calcutta), B.Sc. (Eng.) (London), M.Sc. (Queen's), M.Sc., Ph.D. (Waterloo) P.H. O’N.Roe, B.A4.Se. (Toronto), M.Sc., Ph.D. (Waterloo) G.N. Soulis, B.A.Sc. (Toronto) MLL. Constant, B.A.Sc. (Toronto) R.N. Howard, B.Sc. (London), Ph.D. (London) PLL. Seeley, B.A.Sc. (Toronto) J.T. Kessel, B.Sce., Mech. Eng. (Rand) N.T. Dipl. Tech., (Witwatersrand), B.Ed. (Capetown). P.H. Meincke, B.Sc. (Manitoba) R.K. Ragade, B.Sc. (B.H.U. Varanasi), B.E.(LI.Sc. Bangalore), M.Tech., PhD. (LL.T. Kanpur) D.D. Schleiermacher, Diploma (Technische Hochscule, Munich), Diploma (Hochschule ftir Gestaltung, Ulm) S. Toida, B.S. (U. of Tokyo), M.S., Ph.D. (Illinois) B.L. Wills B.4.Sc., M.A.Sc., Ph.D. (Waterloo) , C.K.G. Hahn, M.4.Sc. (Waterloo) D.G. McGeary, B.Sc. (Manitoba), M.A.Sc.(Waterloo)
D.J. Clough, B.A.Se. (Toronto), M.B.A. (Toronto) (Waterloo), Ph.D. (LeHigh) W.C. Lennox, B.A.Se., M.Sc. D.C. Fraser, B.Sc. (Glasgow), M.Sc. (Cantab), M.A., Ph.D. (Edinburgh).
Undergraduate Courses
Functions and limits, the derivative, Differentiation formulae.
Applications to tangents, rates, extrema. Antiderivatives. The definite integral, fundamental theorem of integral calculus. Applications to area, volume, moments, fluid pressure, work, potential. Parametric and polar equations. Mean value theorem. Introduction to partial derivatives. Introduction to differential equations with applications.
Symbolic logic, set theory, permutations combinations, discrete probability theory.
113 Linear Algebra
Vectors and matrices, vector spaces, determinants, matrix algebra, linear dependence, linear equations, linear inequalilities, linear transformations.
Principles of scientific method, experimental proceedures, experimental controls, hypothesis testing, inference, null hypothesis, random sampling, bivalent and multivalent experiments, types of error, scaling, probability distributions, measures of central tendency and scatter, tests of significance, treatment of functional data, experimental design methods, deduction, induction and operational concepts.
Introduction to electronic digital computers; hardware and
software organization, basic features of Fortran examples of efficient algorithms for engineering computation, computing problems.
2
Cost-benefit analysis, critical path methods, interest, project economics, decision making, utility theory, project organizational theory.
150 Physics 1
Vectors, rectilinear motion, plane motion, dynamics of particles.
151 Physics 2
work and energy, linear momentum, rotational motion, statics, angular mementum, harmonic motion, gravitation, wave motion, sound waves.
An introductory course on the principles of engineering design culminating in a project involving the solution of a relevent need. Specific topics introduced are: The systems approach, principles of planning, the statement of a design problem and the flow of information. Innovation and the creation of design solutions physical, economic and financial feasibility, solution evaluation and selection. Finally, value and utility, simulation, modelling and optimization.
Probabilities as measures on sets; random variables and probability distributions; transformations of random variables. Applications in physics, operations research and engineering (e.g., queuing theory, reliability theory).
Sample statistics as random variables; statistical models; limit theorems; inference. Applications in operations research and engineering (e.g., design of industrial experiments, sample surveys).
Exact equations, integrating factor, separation of variables. Linear equation with constant coefficients, simultaneous equations, Laplace transform, solution by series. Non-linear differential equations and computer methods. Introduction to difference equations.
Analysis of public and private choices among users of scarce resources. The interaction of choices to form micro systems. Examples of policy questions: costs and benefits of alternative methods of pollution control, pricing of private and public goods.
The structure and function of man in relation to systems design; the relationship of biology and human physiology to engineering; biology concepts, biological variation; the cell as a micro-system man as a complex of systems and subsystems.
The attributes, assets and liabilities of man within a man-machine system; man’s characteristics as a component of a system; the man-machine interface; display of information; problems of controls; workplace layout; human factors in systems design.
Component models, interconnection models, system equations and their rank properties and solutions. These concepts are developed with respect to electrical systems.
A problem oriented course wherein the emphasis is placed on designing
and presenting creative solutions to currently relevent real-life problems. The graded selection of minor, medium and major problems are intended to cover all disciplines to which the student becomes exposed each year. The concept and form of multi-media input will be continued in each succeeding workshop while the output is expected to increase in aanwhictinatiagn anA saamalavityu in arceardancre with the etudent’s nrnorecs
Department of Systems Design —
System modelling discrete and continuous system models; system simulation techniques, digital computer methods, fundamentals of analog computation, time and magnitude scaling; analog computer simulation methods; digital simulation of analog computers; block oriented languages; advantages and disadvantages of digital and analog simulation techniques, introduction to system simulation using hybrid computers.
The design proces; factors influencing design, phases of design; the role of analysis, optimization; computer oriented system models; simulation languages for digital computers; problem oriented computer languages; man-machine interaction, interaction in the design process; graphic input-output, time-sharing, conversational mode language design of problem-oriented computer languages.
Applications of econometric models, regression analysis, factor analysis, Statistical decision theory, and other methods and models for the policy analysis of socio-economic systems. Selected references will be assigned.
Survey course in concepts of operations research; mathematical modelling of production, transportation, and other systems, employing queuing theory, mathematical programming and other techniques.
The application for non-quantitative game theory to the analysis of conflicts, particularly conflicts arising in the implementation of design projects, the general characteristics (through metagame theory) and specific applied techniques for analyzing conflicts between parties each with separate objectives.
Problems of man within a man-machine environmental complex; the nature of human environmental stress; problems arising in association with environmental hazards.
The subject matter is similar to 251 except that the development is based on other physical systems such as structural and hydraulic systems.
A problem oriented course wherein the emphasis is placed on designing and presenting creative solutions to currently relevant real-life problems. The graded selection of minor, medium and major problems are intended to cover all disciplines to which the student becomes exposed each year. The concept and form of multi-media input will be continued in each succeeding workshop while the output is expected to increase in sophisticaion and complexity in accordance with the student’s progress through the course.
Study of human and machine communication processes, communication theories as applied to education. Design of communication systems including languages and messages.
A continuation of 371 with special emphasis on the theories of persuasion and coercion. The design of complex systems which imply a need for individual and social change will be studied.
Component models of various electronic devices, oscillation, amplification, modulation, detection, application to instrumentation.
Mathematical Programming (linear, integer, non-linear and quadratic
Department of Systems Design
The functioning of National and Regional economics. The relation between the behaviour of classes of decision-making units and the performance of the economic system. Examples of policy questions: cost and benefits of alternative methods of attaining price stability. Full employment and economic growth.
Human aspects in design of a specific operational systems, e.g. urgan system, ground transportation system, air transportation system, etc. A specific system will be examined each time the course is presented.
A study of multiparameter sensitivity analysis and probabilistic system analysis, with special reference to physical systems.
465 Systems Design Workshop
A selection of open-ended design problems and seminars designed 5 for final year undergraduate students.
466 Systems Design Workshop
A selection of open-ended design problems and seminars designed 6 for final year undergraduate students.
Man-machine systems; man-machine interface; presentation of information; design of displays and controls; workplace, layout, human factors in design.
Significance of ergonomics; man-machine-environment complex; physiology of work, fatigue, and boredom; environmental factors in industry (noise, vibration, vision, illumination, heat, cold, toxic chemicals, radiation); industrial, and automative safety.
Graduate and Research Programme
The Department of Systems Design offers post-graduate programmes leading to the degrees of Master of Applied Science (M.A.Sc.) and Doctor of Philosophy (Ph.D.). These programmes are founded upon the belief that the need for broadly educated individuals who are capable of solving interdisciplinary problems can be met uniquely by a programme which combines the philosophy of design with the discipline of system theory. These two fields of study form the core of a curriculum which is designed to prepare students not only for industry but for research work in such areas as transportation systems, electronic control, process control, water resources systems, computer aided design, etc. The post-graduate programmes consist of research and project work under the direction of faculty members from the department, Department of Systems Design course work, and electives from other departments. In-addition, the student, through the Industrial Research Institute, is provided with the opportunity for work and contact with a varied group of professional consultants who have backgrounds in areas germane to his studies. At present research is being carried forward within the department in the following general areas.
‘Communications, including Computer Graphics. Computer-Aided Design Conflict Analysis Design Methodology and Morphology Human Systems Engineering
Master’s Degree Programmes
Department of Systems Design
Systems Theory and Systems Engineering
The Master’s degree programmes in the Department of Systems Design are open to candidates who have demonstrated excellence in the completion of studies toward the Batchelor’s degree at a recognized university. Because of the breadth of the scope of research within the department it is not necessary that this prior work be within Engineering; candidates with degree in areas such as Commerce, Communication, Economics, Mathematics and Computer Science, or Sociology may be admitted. Qualifying work is however, required of those students who do not have a background in Mathematics or the Science related to Engineering. The objective of the Masters degree programme in Systems Design is to demonstrate individual accomplishment of a high professional and academic standard. The candidate, with the approval of his advisor, may elect to submit cither a research thesis as a portion of requirements, or an engineering project report of a professional calibre on a design or theoretical application problem. The complete programme submitted for the M.A.Sc. degree consist of at least five one term post-graduate courses together with a thesis, or at least eight one term post-graduate courses and an engineering project. Suitable courses offered by other departments, chosen with the advice of the student’s advisor, form a part of the programme, as appropriate.
The Ph.D.Degree Programme
The primary objective of the Ph.D. programme 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 programme 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. programme is based upon the student’s academic record and evidence of ability to pursue independent research. No candidate will be admitted to the Ph.D. programme before a faculty advisor willing to supervise the candidate’s research is appointed. The Ph.D. programme in Systems Design generally requires at least three years beyond the Master's degree to complete
Graduate Courses
Courses numbered in the 600’s are given on a regular basis. Courses numbered in the 700’s are offered as and when required.
Fundamental definitions, properties of circuits, paths in a graph, and Euler graphs. Properties of cutsets. Matrix representation of linear graphs and trees. Planar graphs and their duals. Nonplanar graphs, pseudo cuts and duals, Oriented graphs.
Department of Systems Design
Topological formulas for general linear systems, synthesis of communication nets, system diagnosis. Applications to switching theory, sociology, economics, etc.
The design process, factors influencing design, phases of design, the role of analysis, optimization; the role of a model in design types of models, computer models, simulation languages; computer-implemented methods of analysis, problem-oriented languages; man-machine interface studies, developments in graphic input-output, time-sharing conversational mode languages.
The theory of games and metagames is seen as the general mathematical theory of interactions between conscious “political” decision-makers. Wars, crises, negotiations and economic problems are seen as fields of application for this theory. The paradoxes and “dilemmas” of game theory are seen as leading to a breakdown of the concept of “rational” behaviour, and a positive approach, tested by experiments, is introduced as leading to useful applications to real-world problems.
Recently developed techniques for modelling real world conflicts as “games” are taught in a practical manner, illustrated with examples of actual applications. Practice in the techniques is obtained through project work. At the same time, mathematical explorations of the rationale behind the techniques is carried far enough to give the student a sound, non-mechanical understanding of their significance and limitations.
Extensive reading in the fields of human physiology and psychology; seminars and discussions in relation to assigned material; lectures and presentations on human environmental physiology, e.g., high altitude, underwater, sustained acceleration, or other pertinent topics. (Deferred grade will be given to those proceeding to SD643.)
Extension of SD 642; continued reading in human physiology and psychology, coninued seminars; lectures and presentations on human physiology, ¢.g., sound and noise, heat and cold, impact acceleration, restrictive confinement, or other pertinent topics. Prerequisite: SD642.
Review of linear graph theory. Rank properties of the matrices of graphs. Formulation of systems equations based upon terminal representations of components. Branch, chord, and mixed methods in the Laplace domain. Solution of large systems through subsystems. Application in a number of diverse fields.
A continuation and generalization of SD651. Formulation of state models for discrete systems. Introduction to time domain sensitivity models.
A discussion of various forms of sensitivity of coefficients and their relationships. Sensitivity systems. Analysis of probabilisitc systems through frequency and time domain models.
Generation of problem statements, system identification, generation of solution sets, feasibility determination. Construcion of archetypes; sensitivity, compatability and stability analysis; behaviour prediction and eahitian cammunicatinan
Department of Systems Design
Man-man and man-machine communications. Mass and political communications. A survey of the structure, functions, philosophy, process and effects of interpersonal and mass communications.
Problems of decisions, values and utility, basic models, decision-making to an individual, to a statistician, in cetainty, risk and uncertainty. Models for preference analysis, utility theories, dominance in strategies. Classical and Bayesian statistical decision theory. Sequential and Markovian decision making problems. Decision-making in games.
Optimization problems through variational methods and mathematical programming. Optimal control for discrete time and continuous time systems. Maximum principle with equality and inequality constraints, feedback control, linear systems with quadratic criteria, the stochastic optimal control problem.
Professor and Director of the School
Professor
t Professor and Dean of the Division
Visiting Professor
Professor
t Professor and Associate Dean (Graduate Studies)
Professor
Associate Professor
t Associate Professor Associate Professor
Associate Professor
t Associate Professor
Assistant Professor Assistant Professor t Assistant Professor tAssistant Professor Assistant Professor Lecturer
Lecturer
tDivisional appointments.
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