45 courses in the 1977–78 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Department of Combinatorics and Optimization
Professor and Chairman of the Department R.C. Mullin, BA (Western), PhD (Waterloo)
Professor and Associate Chairman of the Department D.H. Younger, PhD (Columbia)
Professor and Associate Dean of the Faculty of Mathematics K. D. Fryer, BA (Western), PhD (Toronto)
Distinguished Professor W.T. Tutte, PhD (Cantab.), FRSC
Professors
G. Berman, MA, PhD (Toronto)
J. Edmonds, BA (Geo. Washington), MS (Maryland) P.L. Hammer, PhDMath (Bucharest)
R.C. Read, MA (Cantab.), PhD (London)
Associate Professors
M. Best, MMath (Waterloo), PhD (U.C. Berkeley)
J. A. Bondy, DPhil (Oxon.)
R.N. Burns, BSc (Toronto), PhD (Waterioa)
C.E. Haff, BS (Stanford), PhD (Waterloo)
R.A. Honsberger, BA (Toronto), MA (Waterloo)
D. M. Jackson, PhD (Cantab.)
U.S.R. Murty, MA (Osmania), PhD (Indian Stat. Inst.) H. Shank, MSc (Chicago), PhD (Cornell)
Assistant Professors
A.R.Conn, BSc (imperial College), MSc (Manitoba), PhD (Waterloo)
L. J. Cummings’, PhD (U.B.C.)
G. B. Faulkner, BASc (Toronto), PhD (Waterloo)
L. B. Richmond, MSc (Manitoba), PhD (Alberta)
P. Shellenberg, PhD (Waterloo)
S.A. Vanstone”, PhD (Waterloo)
Lecturers E. Anderson, BA (McMaster) R.G. Dunkley, BA (Western)
Adjunct Professors
P. Erdés, PhD (Budapest), DSc (Manchester)
E.L. Johnson, BS (Georgia Tech.), PhD (U.C. Berkeley) C. St. J. A. Nash-Williams, PhD (Cantab.), FRSE
R.G. Stanton, BA (Western), PhD (Toronto)
Adjunct Lecturer C. Charalambous, BSc (Surrey), PhD (McMaster)
Faculty Members holding cross-appointments as shown
Pure Mathematics and Combinatorics and Optimization
? St. Jerome’s and Combinatorics and Optimization
Depariment of Computer Science
Professor and Chairman of the Department J.D. Lawson, BASc (Toronto), PhD (Waterloo), FIMA
Associate Professor and Associate Chairman for
Graduate Studies
J. |. Munro, BA (New Brunswick), MSc (UBC), PhD (Toronto)
Associate Professor and Associate Chairman for Undergraduate Studies J. A. George*, MSc (Alberta), PhD (Stanford) |
Professor and Associate Dean of Graduate Studies D. D. Cowan, BASc (Toronto), PhD (Waterloo)
Professor and Director, Mathematics Computing Facility W.M.Gentleman?, BSc (McGill), PhD (Princeton)
Assistant Professor and Director of First Year Studies in the Faculty of Mathematics P.C. Brillinger, BA (McMaster), MA (Waterloo)
Professors
J. A. Brzozowski, MASc (Toronto), PhD (Princeton)
B. Forte’, PhD (Pisa), HabilDSc (Rome)
J. W. Graham, MA (Toronto)
E.G. Manning, MSe (Waterloo), PRD (Illinois)
T. Pietrzykowski, MA (Warsaw), PhD (Polish Acad. Sci.)
Research Professor G.M.L. Gladwell’, 8Sc, PhD, DSc (London)
Associate Professors
E. A. Ashcroft, BA (Cantab.), PhD (Imperial College)
K. Culik, MSc, RNDr (Prague), PhD (Czechoslovak Acad. Sci.) (Sabbatical Leave, 1976-77)
D.E. Morgan, 8Sc (Rose Polytechnic Inst.), MS (Michigan), PhD (Waterloo), (Sabbatical Leave, 1977-78)
J. Lt. Morris, 8Sc (Leicester), PhD (St. Andrews)
R. B. Simpson, MASc (Toronto), PhD (Maryland)
Course Descriptions Mathematics .
Assistant Professors
K.S. Booth, BS (Calif. inst. Tech.), PhD (U.C. Berkeley)
V.A. Dyck, MMath (Waterloo)
M. van Emden, MEngMath (Technische Hogeschool, Delft,), PhD (Amsterdam)
K.O. Geddes, BA (Saskatchewan), MSc, PhD (Toronto)
J.F. Gentleman’, MS (Chicago), PhD (Waterloo)
M. Hennessy, 8Sc (National U. of freland), MA (Dublin), PhD (Waterloo)
M.1. Irland, MS (iHinois), PhD (Waterloo)
B. Jolliffe, BSc (U.B.C.), PhD (Waterloo)
T.S.E. Maibaum, BSc (Toronto), PhD (London)
J. Majithia®, BSc (London}, MEng, PhD (McMaster)
M. Malcolm, BSc, MSEng (Denver), MS, PhD (Stanford) -
S.L. Osborn, PhD (Waterloo)
R. W. Peebles, BSc (McGill), PhD (Pennsylvania)
L.D. Rogers, Se (McGill), PhD (Waterloo) (Leave of Absence, 1976-77)
G. Sager, PhD (Washington)
J.A. Smith, PhD (Waterloo), PEng
F.W. Tompa, ScM (Brown), PhD (Toronto}
J.H. Vellinga, BA (Western), MA (Waterloo) (part-time)
J.W. Welch, BSc (McGill), PhD (Waterloo)
J.W.N. Wong, PhD (U.C, Los Angeles)
Research Assistant Professor E.J.H. Chang, BSc (Manitoba), MD (UBC), MMath (Waterloo) (Leave of Absence, 1976-77)
Adjunct Professor and Director of Computing Centre P.H. Dirksen, MA (Waterloo)
Adjunct Professors P.C. Fischer, MBA (Michigan), PhD (MIT), FSA S.C. Johnson, BA (Haverford College, Pa.), PhD (Columbia) J.G. Linders, MASc (Toronto), PhD (Imperial College)
Faculty Members holding cross-appointments as shown.
Applied Mathematics and Statistics and Computer Science
2 Computer Science and Statistics
3 Civil Engineering and Computer Science
“ Computer Science and Applied Mathematics
5 Statistics and Computer Science
6 Electrical Engineering and Computer Science
Department of Pure Mathematics
Professor and Chairman of the Department R.A. Staal, PhD (Toronto)
Distinguished Professor J. Aczel, PhD (Budapest), Habil.Dsc (Hungarian Acad. Sci.), FRSC
Professors
H.H. Crapo, AB (Michigan), PhD (M.1.T.}
G.E. Cross, MA (Dalhousie), PhD (U.B.C.)
D.Z. Diokovic, PhD (Belgrad)
H. Haruki, PAD (Osaka)
P. Hoffman, BA (Toronto), PhD (Manchester) \ M.A. McKiernan', MA (Loyola), PhD (J/.1.T.)
J. W. Tucker?, BSc (London), PhD (London)
Associate Professors J.G. Anderson, MSc (Durham), PhD (Newcastle) J. A. Baker, MA (Saskatchewan), PhD (Waterloo) S. Burris, PRD (Oklahoma) Y.Chen, MA (Frankfurt), PhD (Bochum) (part-time) L. J. Cummings’, PAD (U.B.C.) G. Dankert, DipMath (T.H. Hanover), PhD (Cologne) W. J. Gilbert, MA (Cantab.j, DPhil (Oxon.) D.A. Higgs, BScHons (Witwatersrand), MA (Cantab.), PhD (McMaster) P.L. Kannappan, BScHons (Annamalai), PhD (Washington) , A. Kerr-Lawson?, BA (Toronto), MA (Chicago), PhD (McMaster) D. Mowat*, PhD (Waterloo) C.T.Ng, BSc (Chinese Univ.), PhD (Waterloo) F.C. Y. Tang, 8Se (Hong Kong), MS (South Carolina), PhD (illinois) P. de Witte, MScTheorPhys (Ghent), MScMath, PhD (Brussels)
Assistant Professors
L. J. Dickey, MA (Arizona), PhD (Wisconsin)
J.W. Lawrence, MSc (McGill), PhD (Carleton)
J. Malzan, PhD (Toronto)
E. M. Moskal, BA (Toronto), PhD (Iiinois)
K. A. Rowe, BSc (Toronto), MS (Wisconsin), PhD (illinois) F.Zorzitto, MSc (Windsor), PhD (Queen’s)
Research Assistant W. Komornicki, PhD (Chicago)
Faculty Members holding cross-appointments as shown
Pure Mathematics and Applied Mathematics
2 Pure Mathematics and Philosophy
3 Pure Mathematics and Combinatorics and Optimization
* St. Jerome's and Pure Mathematics
Course Descriptions 349 .
Mathematics
Department of Statistics
Professor and Chairman of the Department J.G. Kalbfleisch, BSc (Toronto), MA, PhD (Waterloo)
Professor and Dean of the Faculty of Mathematics W.F. Forbes, PhD, DSc (London), DIC
Professor and Director, Mathematics Computing Facility W. M. Gentleman?, BSc (McGill), PhD (Princeton)
Associate Professor and Associate Chairman of the Department J.F. Lawless, BSc, MSc, PhD (Waterloo)
Associate Professor and Associate Chairman of the Department J.C. Young, BASc (Toronto), MSc (Waterloo).
PhD (Edinburgh)
Professors
H. M. Atrubin, BA (Manitoba), FSA, FCIA (part-time) G.A. Barnard, MA, DSc (Cambridge) (part-time)
B. Forte’, PhD (Pisa), HabiiDSc (Rome)
V.P. Godambe, MSc (Bombay), PhD (London)
P.M. Reilly3, BASc (Toronta), DIC, PhD (London), FSS D.A.Sprott*, BA, MA, PhD (Toronto)
M. D. Vogel-Sprott§, BA (McMaster), PhD (Toronto)
Associate Professors
W.H. Aitken, BA (Toronto), FSA, FAAA, FCIA
G. W. Bennett, 8Sc, BA, PhD (Adelaide)
M.A. Bennett, BA (Nottingham), FSA, FCIA
W.H. Cherry, BSc, PhD (Melbourne)
J.D. Kalbfleisch, BSc, MM, PhD (Waterloo)
W.S. Rickert, BSc, PhD (Waterloo)
K.R.Shah, BA, MA (Bombay), PhD (indian Stat. Inst.) M. E. Thompson, BSc (Toronto), MSc, PhD (illinois) R.V. Thysell§, BSc (Montana), PhD (lowa)
J.B. Whitney, BA, MA (Western), PhD (Toronto)
Assistant Professors
A. Brender, BSc (McGill), MA, PhD (U.C. Berkeley) K.S. Brown, BMath, PhD (Waterloo)
J.F.Gentleman®, BA, MS (Chicago), PhD (Waterloo) R. J. MacKay, BSc (Waterloo), MSc, PhD (Toronto) D.E. Matthews, BA, MA (Western), PhD (London), DIC C. Minder, Dip/. Math (Basel), PhD (Waterloo)
J.C. Robinson, MASc, PEng, PhD (Waterloo)
Research Assistant Professor S.£sterby, BA (Queen’s), PhD (Waterfoo)
Lecturers
R. L. Brown, BMath (Waterloo), ASA
F.G. Reynolds, BSc, MSc (Manitoba), FSA, FCIA C. Springer, BSc, MSc (McGill)
Adjunct Professors
S.N. Afriat, MA (Cambridge), DPhil (Oxford)
P. Fellegi, PhO (Carleton).
A.Finch, PhO, DSc (London), DIC
R.C. Frecker, BSc (Memorial), MD (Dalhousie)
J.Gani, 8Sc, DIC (London), PhD (ANU), DSc (London), FAA
L. P. Lefkovitch, BSe (London)
Faculty Members holding cross-appointments as shown
1 Applied Mathematics and Statistics and Computer Science
2 Computer Science and Statistics
2 Chemical Engineering and Statistics
* Statistics and Psychology
5 Psychology and Statistics
& Statistics and-Computer Science
Course Descriptions Mathematics
Strategy Board Members University of Waterloo Faculty of Mathematics
R. S. Aberg General Manager Corporate Planning Shell Canada Limited M. W. Bainbridge Director Post-Secondary Recruitment Programme Public Service Canada E.G. Burton President Simpsons Limited R. G. Clifford Vice President Central Region 1BM Canada Limited B. Graham Partner Coopers and Lybrand J. V. Masterman Vice President (Operations) Mutual Life Assurance Co. of Canada E. L. Pursey Vice President and Comptroller Canadian Imperial Bank of Commerce Dr. C.D. Sadleir Manager information Systems Reed Paper Ltd. G. F. Sekely Director information Systems Canadian Pacific Limited H. J. M. Watson Assistant Comptroller Management Information Services The Steel Company of Canada Ltd. R.P. Wismer Manager Systems Development Noranda Mines Limited Or. 0. T. Wright Deputy Provincial Secretary Secretariat for Social Development 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.
Mathematics Undergraduate Course Descriptions
Note Course descriptions are given under the new course numbers introduced in 1976.
Functions and limits, differentiation of algebraic and trigonometric functions, applications of the derivative, the differential, Riemann sums, the first and second fundamental theorems of the integral calculus.
Note Math 120a is not open to Honours Mathematics students.
Differentiation and integration of exponential and logarithmic functions, techniques of integration, applications of integration, indeterminate forms, sequences, convergence of series, power series.
Note Math 720b is not open to Honours Mathematics students.
Elementary number theory, mathematical induction, binomial theorem, monotone sequences, inequalities, complex numbers, elementary functions of a complex variable, polynomials and polynomial equations.
Note Math 124a is not open to Honours Mathematics students.
Determinants and matrices, vectors in two and three space, quadric surfaces, systems of equations, elementary linear transformations.
Note Math 124b is not open to Honours Mathematics students.
Functions and limits, the derivative, differentiation of algebraic and other functions, applications of the derivative, the integral, applications of the integral. Also offered at St. Jerome’s College
Techniques of integration, convergence of series, power series. Some elementary differential equations.
Also offered at St. Jerome's College
Course Descriptions : 351 Mathematics
Integers and diophantine equations, congruences, induction and the binomial theorem, rational and real numbers, inequalities, complex numbers, polynomial equations.
Also offered at St. Jerome's College
in 2 and 3 dimensions: vectors, lines and planes, linear transformations, matrices, determinants, circles and spheres, geometry of the triangle, quadric surfaces, inequalities.
Also offered at St. Jerome’s College
Differential Calculus for functions of several variables.
Note Math 220a is not open to Honours Mathematics students.
Double integrals, triple integrals; Line integrals and Green's Theorem; Ordinary differential equations.
Note Math 220b is not open to Honours Mathematics students.
A selection of topics.from: vector spaces, linear maps, matrix theory, inner products, bilinear and quadratic forms, and applications.
Note Math 221a is not open to Honours Mathematics students.
A continuation of Math221a.
Note Math 221b is not open to Honours 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. Also offered at St. Jerome’s College
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.
Also offered at St. Jerome's College
3C,1T 5
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. Also offered at St. Jerome’s College
A continuation of Math231a.
Also offered at St. Jerome's College
Groups, monoids and Boolean algebras with selected applications.
2C,1T 5
Note Math 321a is not open to Honours Mathematics students.
Rings and fields with selected applications.
2C,1T 5
Note Math 321bis not open to Honours Mathematics students.
Elementary 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.
Note Math 322a is not open to Honours Mathematics students.
Course Descriptions Mathematics
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.
Note Math 322b is not open to Honours Mathematics students.
Groups, monoids and Boolean algebras with selected applications.
» 2C,1T 5
Math331b FLW Modern Aigebra Rings and fields with selected applications.
2C,1T 5
Real numbers. Continuous functions. Functions of bounded variation. Riemann integral. Cesaro summability of series. Inequalities. Inner product and hormed linear spaces. Orthonormal systems. Fourier series.
FW,S. 3C 5
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 allied theorems; Taylor and Laurent expansions; uniform convergence and power series; the residue calculus, and applications.
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.
Development of number systems: Natural to real; properties and operations therein. Analysis of. polynomial, linear, rational, exponential, and trigonometric functions and their graphs.
Measurement and relationships of geometric figures in 2 and 3 dimensions. Infinite series, the limit concept, introduction to calculus including the derivative and its applications to graph sketching.
Note.
Math 101a, 101b are specially designed for students enrolled in General Arts programmes. and are normally not available to students with Grade 13 Mathematics or equivalent.
introductory. Mathematics (For Arts Students)
Set Theory, Permutations and Combinations, Vectors and Matrices, Probability Theory, Solution of Linear Equations, Game Theory, Linear Programming.
Polynomial, rational, exponential and trigonometric functions. Elementary analytic geometry. Polar co-ordinates. Fundamental concepts in the Calculus. Linear and quadratic systems of equations. Vectors, complex numbers. Mathematical Induction, Permutations and combinations, the Binomial theorem.
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.
Algebraic functions and their graphs; exponential and logarithmic functions; elementary differential and integral calculus; applications and problems associated with kinesiology.
Note This course is open to Kinesiology students who have not taken Grade 13 Calculus.
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.
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.
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.
The real and complex number system, Mathematical Induction, the Binomial Theorem, Monotoné sequences and the Cauchy criterion, polynomial functions, Theory of equations.
and Eigenvectors.
The derivative, differentiation of algebraic and transcendental functions. Applications of the derivative. The integral, applications of integration, techniques of integration. Power series. Polar co-ordinates. Some elementary differential equations.
Matrix algebra. Systems of linear equations. Determinants. Vectors in Euclidean space, tines, planes, spheres. Eigenvalues. Introduction to vector spaces.
Course Descriptions oe 371 Mathematics Electives
Partial differentiation, the gradient, multiple integrals with applications, line and surface integrals, divergence and curl, theorems of Green and Stokes. Applications to physical problems.
Differential calculus of functions of several variables. Differential equations. Multiple integrals.
Prereq: Math 110 or equivalent
Fourier series. Partial differential equations: separation of variables, wave equation, heat equation and Laplace's equation. Fourier integral. Properties of complex analytic functions. Complex integration.
Infinite series. Partial Derivatives, chain rule, total differential, Taylor’s theorem, extreme values. Multiple integrals. Vector calculus: gradient and directional derivative, divergence, curl, line integrals and path independence, Green’s theorem, Stokes’ theorem and Gauss’ theorem..
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.
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.
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.