63 courses in the 1980–81 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 1980–81
ssistant Professors C. Beatty, AB (Math) (Princeton), PhD (UC Berkeley) S. Booth, BS (Calif Inst Tech), PhD (UC Berkeley) A. Cargill, BSc (Reading), PhD (Waterloo) A. Dyck, MMath (Waterloo) H. Gonnet, PAD (Waterloo) S. E. Maibaum, BSc (Toronto), PhD (London) Rotem, BSc (Hebrew Univ Jerusalem), PhD (Witwatersrand) J. A. Smith, PhD (Waterloo), PEng D. J. Taylor, BSce (Sask), MMath, PhD (Waterloo) F. W. Tompa, ScM (Brown), PhD (Toronto) J. H. Vellinga, BA (W. Ont.), MA (Waterloo) (part-time) J. W. Welch, BSc (McGill), PhD (Waterloo) (part-time) J. W. Wong, PhD (UC Los Angeles)
AQ<AxXcsSb
=)
Faculty listed in 1980–81
Lecturers R. J. Beach, BMath, MMath (Waterloo) R. L. Newkirk, BSc, MSc (W. Ont.) (part-time)
Adjunct Professors
P. H. Dirksen MA (Waterloo)
Faculty listed in 1980–81
S. C. Johnson, BA (Haverford College, Pa.), PhD (Columbia)
Adjunct Assistant Professor G. R. Sager, PhD (Washington)
Faculty Members holding cross-appointments as
shown.
1Computer Science and Applied Mathematics
2Applied Mathematics/Statistics/Computer Science/ Pure Mathematics
3Computer Science and Statistics
4Statistics and Computer Science
5Electrical Engineering and Computer Science
Faculty Member holding joint appointment as shown: &Computer Science and Combinatorics and Optimization -
Department of Combinatorics and Optimization
Faculty listed in 1980–81
Professor and Chairman of the Department J. A. Bondy, DPhil (Oxon)
Professor and Associate Chairman of the Department R. C. Read, MA (Cantab), PhD (London)
Associate Professor and Associate Chairman of the Department C. E. Haff, BS (Stanford), PhD (Waterloo)
Distinguished Professor W. T. Tutte, PhD (Cantab), FRSC
Professors
G. Berman, MA, PhO (Toronto)
J. Edmonds, BA (Geo Washington), MS (Maryland)
Faculty listed in 1980–81
K. D. Fryer, BA (W. Ont.), PhD (Toronto)
P. L. Hammer, PhD Math (Bucharest) Sabbatical Leave
Faculty listed in 1980–81
R.C. Mullin, BA (W. Ont.), PhD (Waterloo)
E. R. Swart, BScEng (Witwatersrand), MSc (UNISA), DSc (Pretoria)
D.H. Younger, PhD (Columbia)
Associate Professors
M. Best, MMath (Waterloo), PhD (uC Berkeley)
Faculty listed in 1980–81
R.N. Burns, BSc (Toronto), PhD (Waterloo)
A. R. Conn", BSc (imperial College), MSc (Manitoba), PhD (Waterloo)
L. J, Cummings?, PhO (Br. Col.)
Faculty listed in 1980–81
R. A. Honsberger, BA (Toronto), MA (Waterloo)
D. M. Jackson, PhD (Cantab)
Faculty listed in 1980–81
U.S. R. Murty, MA (Osmania), PhD (Indian Stat. Inst.)
L. B. Richmond, MSc (Manitoba), PhD (Alberta)
P. Schellenberg, PhD (Waterloo)
Assistant Professors.
F.R. Allaire, MMath (Waterloo), PhD (Manitoba)
Faculty listed in 1980–81
L. J. Dickey2, MA (Arizona), PhD (Wisconsin)
S. A. Vanstone?, PhD (Waterloo)
Faculty listed in 1980–81
Lecturers E. Anderson, BA (McMaster) R. G. Dunkley, BA (W. Ont.)
Adjunct Professors
P. Erdés, PhD (Budapest), DSc (Manchester)
Faculty listed in 1980–81
E. L. Johnson, BS (Georgia Tech), PhD (UC Berkeley) C. St. J. A. Nash-Williams, PhD (Cantab), FRSE
K. Ritter, DHab (Karlsruhe)
Adjunct Lecturer J. W. Dodd, BASe (Toronto), MSc (Waterloo)
Faculty Member holding joint appointment as shown.
Computer Science and Combinatorics and Optimization
Faculty Members holding cross-appointments as
shown.
2Pure Mathematics and Combinatorics and Optimization
3St. Jerome’s and Combinatorics and Optimization
Course Descriptions Mathematics.
Department of Pure Mathematics
Faculty listed in 1980–81
Professor and Chairman of the Department G. E. Cross, MA (Da/housie), PhD (Br. Col.)
Associate Professor and Associate Chairman for Undergraduate Affairs W. J. Gilbert, MA (Cantab), DPhil (Oxon)
Associate Professor and Associate Chairman for Graduate Affairs J. W. Lawrence, MSe (McGill}, PhD (Carleton)
Distinguished Professor J. Aczel, PhD (Budapest), HabilDSc (Hungarian Acad Sci), FRSC
D. A. Higgs, BScHons (Witwatersrand), MA (Cantab), PhD (McMaster)
A. Kerr-Lawson3, BA (Toronto), MA (Chicago), PhD (McMaster)
E. Moskal, BA (Toronto), PhD (I/linois)
D. Mowat5, PhD (Waterloo)
C.T. Ng, 8Sc¢ (Chinese Univ), PhD (Waterioo)
F.C. Y. Tang, BSe (Hong Kong), MS (South Carolina), PhD [illinois)
Faculty listed in 1980–81
P. de Witte, MSc Theor. Phys (Ghent), MScMath, PhD (Brussels)
Assistant Professors A. A. Adamson, MMath (Waterloo), PhD (Berkeley) K. R. Davidson, BMath (Waterloo), PhD (Berkeley) L. J. Dickey4, MA (Arizona), PhD (Wisconsin) K. A. Rowe, BSc (Toronto), MS (Wisconsin), PhD (illinois) C. L. Stewart, BSe (Br. Col.), MSc (McGill), PhD (Cantab) F. Zorzitto, BSc (Windsor), PhD (Queen’s)
Adjunct Professor H. H. Crapo, AB (Michigan), PhD (MIT)
Assistant Professors B. Abraham, BSc (Kerala), MSc (Guelph), PhD (Wisconsin) A. Brender, BSc (McGill), MA, PhD (UC Berkeley), ASA R. L. Brown, BMath (Waterloo), FSA, FCIA M. J. Goddard, BSc (Toronto), MSc, PhD (LSHTM) 1. P. Goulden, BMath, MMath, PhD (Waterloo) (parttime) Py R. J. MacKay, BSc (Waterloo), MSc, PhD (Toronto) D. E. Matthews, BA, MA (W. Ont.), PhD (London), DIC C. Minder, Dip! Math (Basel), MMath, PhD (Waterloo)
Lecturers
J. A. Jackson, BS, BChir, MB, MA (Cambridge) (parttime)
Faculty listed in 1980–81
C. Springer, BSc, MSc (McGill)
Adjunct Professors P. Fellegi, BSc (Budapest), MSc, PhD (Carleton) A. Finch, BSc, ARCS, PhD, DSc (London), DIC
Faculty Members holding cross-appointments as
shown.
Applied Mathematics/Statistics/Computer Science/ Pure Mathematics
2Computer Science and Statistics
3IChemical Engineering and Statistics
4Statistics and Psychology
5Psychology and Statistics
6Statistics and Computer Science
Strategy Board Members
University of Waterloo Faculty of Mathematics
R. S. Aberg Vice President Oil Sands Administration Shell Canada Limited M. W. Bainbridge Director Post-Secondary Recruitment Programme Public Service Canada Dr. D. C. Baxter Director General Data Processing Branch Department of Supply & Services E. G. Burton President Simpsons Limited R. G. Clifford Vice President Central Region !BM Canada Limited G. Corlett Deputy Comptrolier Noranda Mines Limited
B. Graham
Partner
Coopers and Lybrand W. D. Jones
Senior Manager
Systems and Data Processing
The Steel Company of Canada, Limited Dr. G. E. Lee-Whiting
Theoretical Physics Branch
Chalk River Nuclear Laboratory
Atomic Energy of Canada Ltd. D. C. MacTavish
Chief Actuary
Mutual Life Assurance Co. of Canada E. L. Pursey
Vice President and Controller
Accounts and Control Division
Canadian Imperial Bank of Commerce Dr. C. D. Sadleir
Assistant Vice President
Systems Planning
Bell Canada G. F. Sekely
Director
Information Systems
Canadian Pacific Limited R. P. Wismer
Assistant Vice President
Business Systems
Northern Telecom Canada Limited Dr. D. T. Wright
Deputy Minister
Culture and Recreation
Province of Ontario
The University of Waterloo Strategy Board was established to provide liaison between the Faculty of Mathematics and knowledgeable representatives from key sectors of the economy. Board meetings are normally held twice a year.
Course Descriptions Mathematics
Faculty of Mathematics Course Offerings - Notes
1. Courses with the following abbreviations are offered by the Faculty of Mathematics: Math (nondepartmental faculty courses), AM (Applied Mathematics), C&O (Combinatorics & Optimization), CS (Computer Science), PMath (Pure Mathematics), Stat (Statistics, including Actuarial Science), MTHEL (Mathematics Elective). The course descriptions which follow appear in ascending order by course number within these groups. Unless otherwise indicated, these courses are open to students in any UW faculty provided that stated prerequisites have been met.
2. Courses offered by the Faculty of Mathematics which have been designed with the academic needs and backgrounds of students in other faculties in mind are identified by a note following the course description. These courses appear in the sequence described above. They are Math 103, 104, 105, 106, 107, 110a/b, 111a/b, 113, 114, 115a/b, 210, 211, 212, 213a/b, 215, 216,226; AM 101, 111, 405; CS 112, 175, 116, 118, 316; Stat 202, 204, 205, 210, 300, 500.
3. Certain core Mathematics courses are offered at three different levels. The advanced level! courses are intended for exceptionally gifted students in an Honours programme. A student pursuing an Honours degree may substitute the corresponding Advanced level course(s) for any required Honours fevel course(s). . Similarly, a student pursuing a Pass or General degree may substitute the corresponding Honours level course(s) for any required General level course(s), unless the student has been required by the Standings & Promotions Committee to switch from an Honours programme to General or Pass. In this case, the student must enrol in General level courses. The following table sets out corresponding advanced/honours/general courses.
Course Descriptions 369 Mathematics
Advanced Honours General
Math 140a/b Math 144a/b Math 240a/b Math 24 1fa/b Math 244a/b P Math 341a/lb P Math 351a P Math 352a
Math 130a/b Math 134a/b Math 230a/b Math 231 a/b Math 234a/b Math 331a/b Math 332a
Math 332b
Math 334a/b Stat 230/231
Math 120a/b Math 124a/b Math 220a/b Math 221a/b Math 224a/b Math 321a/b Math 322a
MATH 103Introductory Algebra (For students in Arts/Social Sciences)F 3C,1T 0.5
Topics chosen from set theory, permutations and combinations, binomial theorem, probability theory, systems of linear equations, vectors and matrices, mathematical introduction.
N.B.: Not open to students in the Faculty of Mathematics. Math 103 does not cover all the material normally included in Grade 13 Algebra; however, superior performance (approximately 80%) would probably provide an adequate background for most courses that demand Grade 13 Algebra as a prerequisite (e.g. Math 124a). Grade 12 Mathematics is recommended.
MATH 104Introductory Calculus (For students in Arts/Social Sciences)W 3C,1T 0.5
Topics chosen from polynomial, rational, exponential and trigonometric functions. Elementary Analytic Geometry. Linear quadratic systems of equations. Complex numbers. Polar co-ordinates. Fundamental concepts of calculus.
N.B.: Not open to students in the Faculty of Mathematics. Math 104 does not cover all the material normally included in Grade 13 Calculus; however, superior performance (approximately 80%) would probably provide an adequate background for most courses that demand Grade 13 Calculus as a prerequisite (e.g. Math 120a). Grade 12 Mathematics is recommended.
MATH 105Mathematics (For Environmental Studies Students)F 3C 0.5
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.
Prereq: None
N.B.: Not open to students in the Faculty of Mathematics
MATH 106Mathematics (For Kinesiology Students)F 30 0.5
Algebraic functions and their graphs; exponential and logarithmic functions; elementary differential and integral calculus; applications and problems associated with kinesiology.
N.B.: Not open to students in the Faculty of Mathematics. This course is open to Kinesiology students who have not taken Grade 13 Calculus.
MATH 107Mathematics (For Kinesiology Students)F 3C 0.5
Content similar to that of Math 106 except that it will be assumed that students have completed Grade 13 Calculus. Accordingly, there will be broader consideration of applications.
N.8.: Not open to students in the Faculty of Mathematics.
MATH 110ACalculus 1a (For Engineering Students)F 3C,2T 0.625
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 calculus. Applications to area and volume problems. Prereqg: Grade 13 Calculus
N.B.: Not open to students in the Faculty of Mathematics
MATH 110BCalculus 1b (For Engineering Students)W,S 3C,2T 0.5
The logarithmic and exponential functions and their derivatives and applications. Elementary differential equations. Integration techniques. Improper integrals. Indeterminate forms. Arc length, average vaiues, 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
N.B.: Not open to students in the Faculty of Mathematics.
MATH 111AAlgebra and Solid Geometry (For Science Students)F 3c 0.5
The real and complex number systems, mathematical induction, the Binomial Theorem, monotone sequences and the Cauchy criteria, polynomial functions, theory of equations.
Prereq: Grade 13 Algebra recommended but not required.
N.B.: Not open to students in the Faculty of Mathematics.
MATH 113Calculus (For Arts and Science Students)Y 3C,2T 1.0
The derivative, differentiation of algebraic and transcendental functions. Applications of the derivative. The integral, applications of integration, techniques of integration. Power series. Polar coordinates. Some elementary differential equations. Prereq: Grade 13 Calculus
N.B.: Not open to students in the Faculty of Mathematics.
MATH 114Algebra and Vector Geometry (For Engineering Students)F 3C,2T 0.625
Matrix algebra. Systems of linear equations. Determinants. Vectors in Euclidean space, lines, planes, spheres. Eigenvalues. Introduction to vector spaces.
Prereq: Grade 13 Algebra
N.B.: Not open to students in the Faculty of Mathematics.
MATH 115ACalculus (For Co-op Physics & Chemistry)F 3C,2T 0.5
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. Inverse functions.
Prereq: Grade 13 Calculus
N.B.: Not open to students in the Faculty of Mathematics.
MATH 115BCalculus (For Co-op Physics & Chemistry)W,S 3C,2T 0.5
Techniques of Integration. Improper Integrals. indeterminate forms and L’Hépital's rule. Infinite series. Polar co-ordinates. Partial Derivatives. Prereq: Math 115a
N.B.: 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.
Prereq: Grade 13 Calculus
N.B.: Math 120a is not open to Honours Mathematics students.
Techniques of integration, applications of the integral, indeterminate forms, Taylor’s theorem, convergence of sequences and series, power series. Prereq: Math 120a
N.B.: Math 120b is not open to Honours Mathematics students.
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.
Prereq: Grade 13 Calculus
N.B.: Credit will only be granted for one of Math 120a, 130a, 140a. This course may also be offered in the spring term.
Also offered at St. Jerome’s College.
Course Descriptions 371 Mathematics
Math, 130b W,S 3C,1T 0.5
Calculus
Techniques of integration, applications of the integral, indeterminate forms, Taylor’s theorem, convergence of sequences and series, power series. Prereq: Math 130a or 80% in Math 120a
N.B.: Credit will only be granted for one of Math 120b, 130b, 140b.
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) N.B.: Credit will only be granted for one of Math 120a, 130a, 140a. This course may also be offered in the spring term.
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) N.B.: Credit will only be granted for one of Math 124a, 134a, 144a. This course may also be offered in the spring term.
MATH 210Calculus 2 (For Chemical Engineers)FLW 3c 0.5
Partial differentiation, the gradient, multiple integrals with applications, line and surface integrals, divergence and curl, theorems of Green and Stokes. Applications to physical probiems.
Prereq: Math 110a/b
N.B.: Not open to students in the Faculty of Mathematics.
MATH 215Differential Equations (For Chemistry Students)F,W 3C 0.5
Complex numbers. Partial differentiation. Solution of ordinary differential equations with emphasis on special functions encountered in chemistry (Hermite and Legendre equations). Introduction to matrix algebra and eigenvalue problems.
Prereq: Math 113 or equivalent
N.B. Not open to students in the Faculty of Mathematics.
MATH 216Differential Equations (For Physics or Chemical Engineering Students)F,S 3c 0.5
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 113 or equivalent
N.B.: Not open to students in the Faculty of Mathematics.
MATH 226Elementary Differential Equations (For Science Students)Y 2C 1.0
An introduction to first order differential equations. Applications to growth, decay, reactions. Linear equations with constant coefficients. Systems of equations: vector and matrix methods. Solutions in series. Introduction to partial differential equations. Prereq: Math 113 or equivalent
N.B.: Math 226 is not open to Honours or General Mathematics students.
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 or 80% in Math 120a/b
N.B.: Credit will only be granted for one of Math 220a, 230a, 240a.
Line integrals, Green’s theorem and path independence. Sequences and series of functions: uniform convergenee and power series. Introduction to ordinary differential equations: first and second order linear equations, power series solutions, applications.
Prereq: Math 230a
N.B.: Credit will only be granted for one of Math 220b, 230b, 240b.
A selection of topics from: vector spaces, systems of linear equations, transformations, matrices, inner products, determinants, invariant subspaces, canonical forms, bilinear forms, quadratic forms, and applications.
Prereq: Math 134a/b or 80% in Math 124a/b
N.B.: Credit will only be granted for one of Math 221a, 23a, 241a.
MATH 322AIntroduction to Real AnalysisFLW,S 3C 0.5
Eiementary properties of the real number system including the completeness property and its relation to the concepts 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)
N.B.: Math 322a is not open to Honours Mathematics students.
MATH 322BAn Introduction to Complex Variable TheoryF,W 3c 0.5
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
N.B.: Math 322b is not open to Honours Mathematics students.
MATH 332BAn Introduction to Complex Variable TheoryF,W 3c 0.5
Complex numbers; continuity, differentiability, analyticity of functions; the Cauchy-Riemann equations; solution of Laplace’s equation; conforma! 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.
Prereq: Math 230b
N.B.: Credit will only be granted for one of Math 322b, 332b.
MATH 380AIntroduction to Information Theory with ApplicationsF 2C,1T 0.5
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.
MATH 380BInformation Theory with ApplicationsW 2C,1T 0.5
Measures of expected conditional information. Maximizing expected conditional information. Applications to communication theory and programming. Basics in questionnaire theory.