47 courses in the 1983–84 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Computer Science
also hands-on experience programming a microcomputer for applications such as process control, data acquisition and communication.
Prereq: CS 340, 350.
C845a FWS 3C 05
Principies of Operating Systems Basic concepts of computer hardware; program translation: program loading and linking; co-operating sequential processes - computational data structures, critical section problem, process synchronization primitives, parallel programming; introduction to multiprogramming; operating system nucleus; file systems; reliability: Protection; system performance, measurement and evaluation.
Prereq: CS 340, 350
At its June 21/82 meeting, the University Senate approved a proposal that “all students enrolled in MATH 130a/b, MATH 134a/b, and/or CS 140/180 be enrolled in a non-credit lab that meets on some One evening each week from 7:00 to 9:00 p.m.”. This time slot appears as a MATH 010 entry on student timetables and is reserved for midterm tests.
An introduction to applications of algebra to business, the behavioural sciences, and the social sciences. Topics will be chosen from set theory, permutations and combinations, binomial theorem, probability theory, systems of linear equations, vectors and matrices, mathematical induction. Not open to students in the Faculty of Mathematics or to students who have credit in Grade 13 Algebra.
tudents who have credit in both Grade 13 Calculus and Relations and Functions must obtain permission from the instructor to take MATH 103. Grade 12 Mathematics is recommended.
An introduction to applications of calculus in business, the behavioural sciences, and the social sciences. The models chosen will include the study of polynomial, rational, exponential and logarithmic functions; elementary analytic geometry; linear and quadratic systems of equations. The major concepts introduced to solve problems are: rate of change; optimization; growth and decay; and integration.
Not open to students in the Faculty
of Mathematics or to students who have credit in Grade 13 Calculus. Grade 12 Mathematics is strongly recommended.
Quantitative analysis in environmental research. Elementary concepts in Algebra: notation, terminology, operations. Probability Theory. Permutations and Combinations, approaches to probability, dependent and independent events, conditional probability, distribution functions, including the Binomial, Poisson and Normal distributions, with applications to problems in Environmental Studies. Not open to students in the Faculty of Mathematics..
Algebraic functions and their graphs; exponential and logarithmic functions; elementary differential and integral
Course Descriptions
Mathematics
calculus; applications and problems associated with kinesiology.
Not open to students in the Faculty of Mathematics.
Functions and their inverses, limits, continuity and derivatives. The trigonometric functions, their inverses and derivatives. Applications to rate, max./min. curve sketching problems. Sequences, the definite integral, the fundamental theorem of caiculus. Applications to area and volume problems.
Prereq: Grade 13 Calculus.
Not open to students in the Faculty of Mathematics.
The logarithmic and exponential functions and their derivatives and applications. Elementary differential equations. Integration techniques. Improper integrals, Indeterminate forms. Arc length, average values, work, centroids and centres of mass, fluid force. Parametric and polar equations. Series of constants and tests for convergence/divergence. Power series. Taylor series. Operations on power series.
Prereq: MATH 110a.
Not open to students in the Faculty of Mathematics.
Elementary Number Theory, number systems, mathematical induction, the Binomial Theorem, complex numbers, polynomials.
Prereq: Grade 13 Algebra is recommended but not required.
Not open to students in the Faculty of Mathematics.
Determinants, vectors, matrices, elementary solid geometry, systems of linear equations.
Prereq: Grade 13 Algebra is recommended but not required.
Not open to students in the Faculty of Mathematics.
Differentiation and integration of algebraic and transcendental functions, techniques involved and applications to real life problems.
Prereq: Grade 13 Calculus.
Not open to students in the Faculty of Mathematics. .
A continuation of MATH 113A. Further techniques of integration. Infinite series. Parametric form and polar coordinates. Elementary differential equations. Applications to reai life problems. Prereq: MATH 113A.
Not open to students in the Faculty of Mathematics.
Matrix algebra. Systems of linear equations. Determinants. Vectors in Euclidean space, lines, planes, spheres. Eigenvalues. Introduction to vector spaces.
Prereq: Grade 13 Algebra.
Not open to students in the Faculty of Mathematics.
Chemistry) Real numbers, functions, trig functions. Limits. The derivative, differentiation, higher order derivatives, implicit functions, differentials, applications of the derivative. The definite integral. Antidifferentiation. Logarithms and exponential functions, hyperbolic and inverse hyperbolic functions.
Prereq: Grade 13 Calculus.
Not open to students in the Faculty of Mathematics.
Chemistry) Techniques of Integration. Improper Integrals. Indeterminate forms and L'Hépital’s rule: Infinite series. Parametric equations and polar coordinates, Partial derivatives.
Prereq: MATH 115a.
Not open to students in the Faculty of Mathematics.
Functions and limits, differentiation of trigonometric, logarithmic and exponential functions, the chain rule, Rolle's theorem, the mean value theorem, extreme value theorem, applications of the derivative, the
- differential, the definite integral, fundamental theorem of calculus. Prerag: Grade 13 Calculus. Credit will be granted for only one of MATH 130a, 140a. Also offered at St. Jerome’s College.
Techniques of integration, applications of the integral, indeterminate forms, Taylor's theorem, convergence of “sequences and series, power series. Prereq: MATH 130a.
Credit will be granted for only one of MATH 130b, 140b.
Also offered at St. Jerome's College.
Basic set theory, cardinality, elementary number theory, number systems, polynomials.
Prereq: Grade 13 Algebra.
Credit will be granted for only one of MATH 134a, 144a.
Also offered at St. Jerome's College.
Systems of equations, vector spaces, matrices, determinants, geometric applications. . Prereq: Grade 13 Algebra (MATH 1344 is recommended, but not required). Credit will be granted for only one of MATH 134b, 144b.
Also offered at St. Jerome's College.
MATH 140a is an advanced-level, enriched version of MATH 130a. Prereq: Grade 13 Calculus and a Grade 13 Math. Average of at least 85% (or permission of instructor).
Credit will be granted for only one of MATH 130a, 140a.
MATH 140b is an advanced-level, enriched version of MATH 130b. Prereq: MATH 140a (or permission of instructor). , Credit will be granted for only one of MATH 130b, 140b.
Course Descriptions . 371
Mathematics
MATH 144a is an advanced-level, enriched version of MATH 134a. Prereq: Grade 13 Algebra and a Grade 13 Math. Average of at least 85% (or permission of instructor).
Credit will be granted for only one of MATH 134a, 144a. -.
MATH 1445 WS 3C 05
Linear Algebra 1
MATH 144b is an advanced-level, enriched version of MATH 134b. Prereqg: MATH 144a (or permission of instructor).
Credit will be granted for only one of MATH 134b, 144b.
Partial differentiation, the gradient, multiple integrals with applications, tine and surface integrals, divergence and curl, theorems of Green and Stokes. Applications to physical problems. Prereg: MATH 110b.
Not open to students in the Faculty of Mathematics.
Differential calculus of functions of several variables. Differential equations.
Multiple integrals.
Prereq: MATH 110b. Not open to students in the Faculty of Mathematics.
Fourier series. Partial differential equations: separation of variables, wave equation, heat equation and Laptace’s equation. Laplace transforms.
- Properties of complex analytic _ functions. Complex integration.
Prereq: MATH 211. Not open to students in the Faculty of Mathematics.
Infinite series, Partial derivatives, chain tule, total differential, Taylor's theorem, extreme values. , Prereg: MATH 113b (or MATH 115b) and MATH 111b, or equivalent.
Not open to students in the Faculty of Mathematics.
Multiple tntegrals. Vector calculus: gradient, directional derivative, divergence, curl, line integrals and path independence. Green's theorem, Stokes’ theorem and Gauss’ theorem.
* Prereg: MATH 213a or 220a, or
equivalent. Not open to students in the Faculty of Mathematics. .
Complex numbers. Partial differentiation. Solution of ordinary differentia! equations with emphasis on special functions encountered in chemistry (Hermite and Legendre equations). Introduction to matrix algebra and eigenvalue problems. , Prereq: MATH 113b or 1156, or equivalent.
Not open to students in the Faculty of Mathematics.
Standard methods of solution. Applications to physical engineering problems. Linear equations with constant coefficients. Systems of differential equations. Solution of differential equations by the Laplace Transformation.
Prereq: MATH 1136 or 115b, or equivalent.
Not open to students in the Faculty of Mathematics.
Differential calculus for functions of several variables.
Prereq: MATH 1306 or equivalent. Coreq: MATH 134b.
Not open ta Honours Mathematics students.
During the 1983/84 academic year, whenever there is sufficient demand trom Co-op math students who are still eligible to enrol in General-level programs, this course will also be offered in terms other than the term listed above.
Double integrals, triple integrals. Line integrals and Green's theorem. Ordinary differential equations.
Prereq: MATH 220a.
Not open to Honours Mathematics students.
During the 1983/84 academic year, whenever there is sufficient demand from Co-op math students who are still eligible to enrol! in General-ievel programs, this course will also be offered in terms other than the term listed above.
Linear transformations, eigenvalues, characteristic polynomials, inner products.
Prereq: MATH 134b.
Not open to Honours Mathematics Students.
During the 1983/84 academic year, whenever there is sufficient demand trom Co-op math students who are still eligible to enrol in General-level programs, this course will also be offered in terms other than the term listed above.
Elementary group and field theory and other topics in algebra.
Prereq: MATH 224a.
Not open to Honours Mathematics students. .
During the 1983/84 academic year, whenever there is sufficient demand from Co-op math students who are Still eligible to enrol in General-level programs, this course will also be offered in terms other than the term listed above.
MATH. 230a F.W,S 3C,1T 0.5 Advanced Calculus . Differential calculus of functions of several variables: limits and continuity, partial derivatives, differentiability, chain rule, Taylor's formula, extreme values, mappings and Jacobians. Integral calculus of functions of several variables: multiple integrals, iterated integrals, change of variables, applications to area and volume calculations. Prereq: MATH 130b. r Coreq: MATH 134b. Credit will be granted for only one of “MATH 2202, 230a, 240a. Also offered at St. Jerome's College. +
Course Descriptions
Mathematics
Line integrals, Green's theorem and path independence. Sequences and series of functions: uniform convergence and power series. Introduction to ordinary differential equations: first and second order linear equations, power series solutions, applications.
Prereq: MATH 230a.
Credit will be granted for only one of MATH 220b, 230b, 240b.
Also offered at St. Jerome's College.
Linear transformations, eigenvalues, characteristic polynomials, inner products.
Prereq: MATH 134b.
Credit will be granted for only one of MATH 224a, 234a, 244a.
Also offered at St. Jerome's College.
Groups, fields and other topics in abstract algebra.
Prereq: MATH 234a.
Credit will be granted for only one of MATH 224b, 234b, 244b.
Also offered at St. Jerome's College.
MATH 240a is an advanced-ievel, enriched version of MATH 230a. Prereq: MATH 140b (or permission of instructor).
Credit will be granted for only one of MATH 220a, 230a, 240a.
MATH 240b is an advanced-level, enriched version of MATH 230b. Prereq: MATH 240a (or permission of instructor).
Credit will be granted for only one of MATH 220b, 230b, 240b.
MATH 244a is an advanced-levei, enriched version of MATH 234a. Prereq: MATH 144b (or permission of instructor).
Credit will be granted for only one of MATH 224a, 234a, 244a.
MATH 244b is an advanced-level, enriched version of MATH 234b. Prereq: MATH 244a (or permission of instructor).
Credit will be granted for only one of MATH 224b, 234b, 244b.
Elementary properties of the real number system including the . completeness property and its relations to the contepts of limit, continuity and differentiability; mean value theorem, Riemann integration and the integrability of continuous and monotonic functions; uniform convergence, uniform continuity and their relation to the above. The emphasis will be on applications. Prereq: MATH 220a (MATH 220b desirable).
Not open to Honours Mathematics students.
During the 1983/84 academic year, whenever there is sufficient demand from Co-op math students who are still eligible to enrol in General-level programs, this course will also be offered in terms other than the term listed above.
Complex numbers; continuity, differentiability, analyticity of functions; the Cauchy-Riemann equations; solutions of Laplace’s equation; conformal mapping by elementary functions, and applications; the Cauchy and allied theorems; Taylor and Laurent expansions, uniform convergence and power series; the residue calculus, and applications. The emphasis will be on applications.
Prereq: MATH 220b.
Not open to Honours Mathematics Students.
During the 1983/84 academic year, whenever there is sufficient demand from Co-op math students who are still eligible to enrol in General-level programs, this course will also be offered in terms other than the term listed above.
Topics in abstract algebra: groups, rings, fields and applications. Prereq: MATH 224b.
Not open to Honours Mathematics Students.
Real numbers. Sequences and series. Power series. Continuous functions. Convergence of functions. Fourier series. Normed linear spaces.
Prereq: MATH 230a (MATH 2306 desirable).
Credit will be granted for only one of MATH 322a, 332a, PMATH 351a.
Complex numbers; continuity, differentiability, analyticity of functions; the Cauchy-Riemann equations; solution of Laplace's equation; conformal mapping by elementary functions, and applications; the Cauchy and altied theorems; Taytor and Laurent expansions, uniform convergence and power series; the residue calculus, and applications.
Prereq: MATH 230b.
Credit will be granted for only one of MATH 322b, 332b, PMATH 352a.
Topics in abstract algebra: groups, rings, fields and applications. Prereg: MATH 234b.
Credit will be granted for only one of MATH 324, 334, PMATH 344.
Finite probabilistic schemes. Measures of uncertainty. Shannon's Entropy as a measure of uncertainty and expected information. Maximizing expected information. Applications to problem solving in coding, logics and linguistics.
Measures of expected conditional information. Maximizing expected conditional information. Applications to communication theory and programming. Basics in questionnaire theory.
Course Descriptions 373
Mathematics.