56 courses in the 1976–77 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Department of Statistics Undergraduate Course Descriptions
Note I ; Course descriptions are given under the new departmental course numbers introduced in 1976.
Note 2 Except where indicated, all courses have three lectures hours per week for one term.
Elementary probability, populations, samples and distributions with Biological examples. Methods for data summary and presentation including an introduction to interactive programming. Estimation, hypothesis testing, two-sample techniques and paired comparisons. Contingency tables.
2 hours lectures, | hour laboratory; one term
Note Stat 202 is for Science students only.
Descriptive statistics. Probability, random variables, discrete and continuous distributions. Estimation and hypothesis testing, goodness of fit.
2 hours lectures, 1 hour laboratory; one term
Note Stat 204 is for Science students only.
Linear regression. Introduction to the design of experiments. Completely randomized and randomized block designs. Analysis of variance. Nonparametric statistics.
Prerequisite: Stat 202 or 204.
2 hours lectures, 1 hour laboratory; one term
Note Stat 205 is for Science students only.
Laws of probability, conditional probability, Bayes’ Theorem and independence. Discrete and continuous random variables. Mathematical expectation. Special cases of uniform, binomial, Poisson, normal distributions. Sampling froma normal population. Derived distributions. Various methods of estimating parameters and testing hypotheses. Simple linear regression.
3 hours lectures, | hour tutorial; one term
Note This course is for students in Mechanical Engineering, and is cross listed in Management Sciences as MS21.
Descriptive statistics, graphical methods, model fitting; correlation, regression and the method of least squares. Probability theory; discrete and continuous random variables.
Prerequisites: M120 or M130, one of CS!16, CS 118, CS 140, 3 hours lectures, 2 hours tutorial; one term
Note Stat 220 is not open to Honours Mathematics students. Credit will be given for only one of Stat 220, 230.
Tests of significance, maximum likelihood estimation and large sample theory; estimation and testing in the normal distribution..
Prerequisite: Stat 220 or 230.
3 hours lectures, 2 hours tutorial; one term.
Note Stat 22] is not open to Honours Mathematics students. Credit will be given for only one of Stat 221, 231.
The laws of probability, discrete and continuous random variables, expectation, central limit theorem. Prerequisite: M120 or M130
3 hours lectures, 2 hours tutorial; one term.
Note Credit will be given for only one of Stat 220, 230.
Estimation, tests of significance, probability plots. Contingency tables, normal distribution theory, simple linear regression.
Prerequisite: Stat 230.
3 hours lectures, 2 hours tutorial; one term
Note Credit will be given for only one of Stat 221, 231.
The theory of rates of interest and discount. Annunities and sinking funds with practical applications to mortgage and bond questions. Yield rates.
Note .
Only one of Stat 270, 273 can be taken for credit. Students planning to enroll in Honours Actuarial Science should take Stat 273.
Course Descriptions 329 Statistics
The theory of rates of interest and discount including the theoretical continuous case of forces of interest and discount. Annuities and sinking funds, including the continuous case. Practical and theoretical applications, primarily to mortgages and bonds. Yield rates. Prerequisite: First year calculus.
Applications of probability to problems of life and death. The determination of single and annual premiums for assurances and annuities. Reserves. Company expenses and their incorporation into premium and cash value calculations.
The design of surveys of human or natural populations for research and planning. How to take a representative sample; efficient estimation of population quantities and sample size determination; ways of reducing response bias.
Prerequisite: An introductory half course in Statistics.
2 hours lectures, | hour turorial per week; one term
Note Stat 300 cannot be taken for credit towards a Mathematics degree.
A second course in statistics for the non-specialist. Estimation and hypothesis testing relation to the normal distribution. Moment generating functions. Maximum likelihood theory. Bivariate normal distribution. Prerequisite: Stat 221 or 231.
Note Credit will be given for only one of Stat 330, 350.
Review of Normal, t, Chi-squared and F distributions and their applications. Introduction to the design of experiments. Analysis of variance, multiple linear regression.
Prerequisite: Stat 221 or 231 or the equivalent.
Note Credit will be given for only one of Stat 331, 351.
Introduction to sampling of survey populations. Elementary sampling designs. Efficiency comparisons for sampling designs and estimation procedures. ; Prerequisite: Stat 221 or 231 or the equivalent.
Note Credit will be given for only one of Stat 332, 454.
Discrete probability models. Random walk models. Recurrent events. Theory and applications of Markov chain models.
Prerequisite: Stat 221 or 231.
Continuous probability distributions. Applications of Poisson and other continuous time stochastic processes. Renewal processes. Stationary processes.
Prerequisite: Stat 340 or consent of instructor.
Continuous random variables; moments and moment generating function; distribution of t, chi-squared, and F, and their applications. Large sample theory. Prerequisite: Math 230, Stat 231! or consent of instructor.
Note Credit will be given for only one of Stat 330, 350.
The multivariate normal distribution, its properties and uses; quadratic forms and Cochran's theorem; multiple regression; introduction to the analysis of variance. Prerequisite: Stat 350, Math 231.
Note Credit will be given for only one of Stat 331, 351.
A course in the calculus of finite differences, to include: summation, numerical integration and differentiation, relation between integration and summation; error theory; topics in Numerical analysis.
2 hours lectures, | hour problems, one term.
An advanced course on problems with single lives. including population theory.
Prerequisite: Stat 284.
Topics in Actuarial Science for students intending to take the professional examinations.
Prerequisites: Stat 273, 373.
An advanced course on problems with multiple lives; multiple decrement theory; accidental death and disability benefits.
Prerequisite: Stat 374.
Course Descriptions Statistics
The requirements for a good experimental design prior to the accumulation of data. The concepts of randomization, replication and experimental error as applied to basic designs; the completely randomized block and latin square designs. Analysis of variance. Introduction to factorial designs.
Prerequisite: Stat 331 or 351 or consent of instructor.
2 hours lectures; one term
Note Credit will be given for only one of Stat 430, 452.
Factorial experiments, confounding, fractional replication. Applications of designs. Incomplete block designs. Analysis of covariance.
Prerequisite: Stat 430. 2 hours lectures; one term
Note Credit will be given for only one of Stat 431, 453.
Summary statistics. Transformation of data. Plotting techniques. Comparisons of specific distributions via probability plots. Analysis of residuals. Random number generation techniques. Outliers in regression and analysis of variance data. W-statistics and tests for normality. Computational techniques in multiple unweighted and weighted regression.
Prerequisite: Stat 331 or 351, and ability to program in Fortran. 2 hours lectures; one term
The decision problem; utilities and subjective probabilities; decision rules; decision trees, normal and extensive analyses; conjugate prior distributions and associated distribution theory; applications to business decisions. Loss functions, risk functions; admissability, minimax rules, tests of hypotheses. An introduction to statistical quality control and control charts. Prerequisite: Stat 221 or 231; Math 220 or 230.
Survey and analysis of typical statistical models in the Social Sciences. Review of regression analysis. Extensions of the linear model. Specification errors. Time series and forecasting.
Prerequisites: Stat 331 or 351.
2 hours lectures and one hour seminar; one term
Structural models, identification, estimation and forecasting. Nonlinear estimation. Discussion of data base.
Prerequisite: Stat 444.
2 hours lectures and one hour seminar; one term.
Discussion of general inference problems under the headings of point and interval estimation, hypothesis testing, and decision theory. Large sample normal likelihoods, maximum likelihood estimation, theory of UMV estimation, least squares, Neyman-Pearson theory of hypothesis testing.
Prerequisite: Stat 3501. 2 hours lectures; one term.
Logic of tests of significance; exact tests and confidence intervals; normal approximations accurate for small samples and relationship to the normality of the likelihood function. Introduction to problems involving more than one parameter.
Prerequisite: Stat 450 or permission of instructor.
2 hours lectures; one term
Logical requirements of designed experiments. Design and analysis of basic complete designs with fixed effects, random effects, or both. Analysis of covariance. Latin squares. Applications.
Prerequisite: Stat 33! or 35] or consent of instructor.
Note ; Credit will be given for only one of Stat 430, 452.
Construction and analysis of incomplete designs: latin square, confounded, fractional factorial, incomplete block. Applications.
Prerequisite: Stat 452 or consent of instructor
Note Credit will be given for only one of Stat 431, 453.
Introduction to sample theory and practice. Elementary sampling designs and estimation procedures. Statistical inference in survey sampling. Interrelationships between survey sampling and the design of experiments. Prerequisite: Stat 331 or 351.
Procedures for construction of sampling designs commonly used in agricultural, economic and scientific surveys, and corresponding estimation techniques. Validation of survey results.
Prerequisite; Stat 454. 2 hours lectures; one term
Prerequisite: Stat 340]1 or consent of instructor. 2 hours lectures; one term
Prerequisite: Stat 350]! or consent of instructor. 2 hours lectures; one term
Course Descriptions 331 Statistics
Stat 467 Topics in Statistics 2 2 hours lectures; one term.
Stat 468 Reading in Statistics 1 Stat 469 Readings in Statistics 2
Prerequisites /corequisites: Stat 284, 374, 384, or consent of instructor.
Methods of analysis of data to produce raw rates for mortality and other tables.
Prerequisite: Stat 273, 284, or consent of instructor.
Mathematical applications in demography. Prerequisite or corequisite: Stat 284 or consent of instructor.
Selected topics for the advanced actuarial student. Prerequisite: consent of instructor.
Individual and collective risk theory. Ruin theory. Stop loss reinsurance premiums, Monte Carlo methods. Prerequisites: Stat 221 or 231 or consent of instructor.
Prerequisite: Stat 373.
The design of surveys of human or natural populations for research and planning. How to take a representative sample; efficient estimation of population quantities and sample size determination; ways of reducing response bias.
Prerequisite: An introductory half course in Statistics.
2 hours lectures, | hour tutorial per week; one term
Note
Stat 500 is intended for senior undergraduate and graduate students in faculties other than Mathematics. [t cannot be taken for credit towards a Mathematics degree.
Electives for Mathematics Students
The following courses may be counted as non-mathematics electives by mathematics students.
Mthel 206 may be taken only by students in the Co-operative Mathematics Teaching Option.
Contract law. Agency. The law of banking. Real estate law. Insurance law. Partnership law. Company law. The law of intellectual property.
Current trends in education, professional practices and administration, the role of the department head, lesson planning, techniques of teaching, evaluation of students, special students, extra-curricular activities, the relationship between elementary and secondary school mathematics, audio-visual materials, current text books.
Note This course is offered only to students in the Co-op Teaching Option.
The course material has been selected with particular reference to some of the fundamentals of Medical Science including Macromolecular processes, Environmental Health, Genetics and aging processes and quantitative models which describe events in these areas. Theories and models for age-related changes: (i) Qualitative and quantitative changes in structural and functional proteins. : 2 hours lectures, 1 hour tutorial, one term
Biological Sciences 2
Theories and models for age-related changes: (ii) Nucleic acids, genetics and cellular organization: (iii) Biochemical evolution.
2 hours lectures, | hour tutorial, one term
A course based upon readings from the works of modern mathematicians selected to illustrate the nature of contemporary mathematics, its achievements, and its range of application. The course requirements will consist of prose reports upon assigned readings.
Prerequisite: Consent of instructor.
2 hours lectures, one term
Course Descriptions Electives for Mathematics Students
An introduction to the problems of the foundations of mathematics. This course will normally be taken in third or fourth year. It will be an elective credit for mathematics students.
Prerequisite: Consent of instructor. 3 hours lectures.
An introduction to the problems of the foundations of probability theory. This course will normally be taken in third or fourth year. It will be an elective credit for mathematics students.
Prerequisite: Consent of instructor. 3 hours lectures.
Types of Life Insurance contracts and their uses, basis of risk measurement, deficiency reserves, modified valuation methods, non-forfeiture values, dividend formulae, selection of risks, substandard risks, and principles of reinsurance.
No prerequisites. 3 hours lectures, one term
Legal aspects of life insurance, settlement options, principles of group and industrial insurance, organization and structure of life insurance companies, financial statements, the mathematics underlying insurance taxation.
Prerequisite: Mthel 305a. 3 hours lectures, one term
Topics will be selected from the area of epidemiology and mathematical models of disease processes with special reference to heart disease and cancer.
Prerequisite: Mthel 302a/b or consent of the instructor. 2 hours lectures, one term.
Factors contributing to various disease processes will be discussed, with special references to the quantitative evaluation of environmental factors relevant to human disease and aging processes.
Prerequisite: Mthel 302a/b or consent of the instructor. 2 hours lectures, one term
Mathematics Service Courses
(not open to students registered in the Faculty of Mathematics)
Note Course descriptions are given under the new course numbers introduced in 1976.