61 courses in the 1989–90 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Computer Science
All students enrolled in one or more of MATH 130A/B, 134A/B, 135, 136, 137, 138, 140A/B, 144A/B, 145, 146, 147, 148, and CS 131, 132 are automatically enrolled in a non-credit lab that is scheduled 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 mid-term tests in the above courses. This time slot is used only on those evenings when mid-term tests are scheduled.
All students enrolled in any secondyear mathematics course offered by the Faculty of Mathematics, with the exception of various service courses designed for students in other faculties, are automatically enrolled in a noncredit lab that is scheduled from 5:00 to 7:00 p.m. Tuesday and Thursday each week, This time slot is used only on those days when mid-term tests are scheduled.
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.
Prereq: Grade 12 Mathematics or equivalent
Not open to students in the Faculties of Engineering, Mathematics or Science, or to other students who have credit in any one of Grade 13 Algebra, OAC Algebra, OAC Finite Mathematics, or the equivalent. Other students with two or more Grade 13/OAC math credits require consent of the instructor to enral in MATH 103.
Course Descriptions Mathematics: Non-Departmental
16:109
An introduction to applications of calculus in business, the behavioural sciences, and the social sciences. The models chosen wil! 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.
Prereq: Grade 12 Mathematics or equivalent
Not open to students in the Faculties of Engineering, Mathematics or Science, or to other students who have credit in Grade 13/OAC Calculus or the equivalent.
Algebraic functions and their graphs; exponential and logarithmic functions; elementary differential and integral caiculus; applications and problems associated with kinesiology.
Antireq: MATH 113A, 115A, 116, 130A, 137, 140A, 147
Not open to students in the Faculty of Mathematics..
Elementary number theory, number systems, mathematical induction, binomial theorem, complex numbers, polynomials.
Prereq: Grade 12 Mathematics or equivalent. Grade 13 or OAC Algebra is recommended but not required.
Antireq: MATH 134A, 135, 144A, 145
This course is designed for students in the Faculties of Arts and Science and students in the three-year BMath General program. It cannot be counted for credit toward a BMath Honours or four-year General degree.
16:110 Course Descriptions Mathematics.
Non-Departmental
Determinants, vectors, matrices, elementary solid geometry, systems of linear equations.
Prereq: Grade 12 Mathematics or equivalent. Grade 13 or OAC Algebra is recommended but not required. MATH 111A is not a required prerequisite for MATH 1118.
Antireq: MATH 114,'134B, 136, 144B, 146
This course is designed for students in the Faculties of Arts and Science and students in the three-year BMath General program. It cannot be counted for credit toward a BMath Honours or four-year General degree.
The derivative, differentiation, higher order derivatives, implicit functions, differentials, applications of the derivative. The definite integral. Differentiation and integration of the logarithmic, exponential and trigonometric functions. Prereq: Grade 13 or OAC Calculus Antireq: MATH 106, 115A, 116, 130A, 137, 140A, 147 This course is designed for students in the Faculties of Arts and Science and students in the three-year BMath General program. It cannot be counted for credit toward a BMath Honours or four-year General degree.
Techniques of integration. Indeterminate forms and L'Hépital's rule. Infinite series. Parametric equations, arc length, volumes and surfaces of revolution. Polar co-ordinates. Elementary differential equations.
Prereq: MATH 113A or equivalent
Antireq: MATH 115B, 118, 130B, 138, 140B, 148
This course is designed for students in the Faculties of Arts and Science and students in the three-year BMath General program. It cannot be counted for credit toward a BMath Honours or four-year General degree.
Matrix algebra. Systems of linear equations. Determinants. Vectors in Euclidean space, lines, planes, spheres. Eigenvalues. Introduction to vector spaces. Prereq: Grade 13 or OAC Algebra Antireq: MATH 111B, 1348, 136, 144B, 146 ' Not open fo students in the Faculty of Mathematics.
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 or OAC Calculus
Antireq: MATH 106, 113A, 116 130A, 137, 140A, 147
Not open to students in the Faculty of Mathematics.
Techniques of integration. improper integrals. Indeterminate forms and U'H6pital's rule. Infinite series. Parametric equations and polar co-ordinates. Partial derivatives.
Prereq: MATH 115A
Antireq: MATH 113B, 118, 130B, 138, 140B, 148
Not open to students in the Faculty of Mathematics.
Review of limits and sequences, and inverse functions; the definite integral; techniques and applications of integration; sequences and series of numbers, and convergence.
Prereq: Grade 13 or OAC Caiculus
Antireq: MATH 106, 113A, 115A, 130A, 137, 140A, 147
Formerly MATH 110A .
Not open to students in the Faculty of Mathematics.
Approximation and the mean value theorem; power series and applications of power series; functions of two variables and properties of surfaces in space.
Prereq: MATH 116
Antireq: MATH 113B, 115B, 130B, 138, 140B, 148
Formerly MATH 110B
Not open to students in the Faculty of Mathematics.
Functions and {imits, 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 or OAC Calculus
Antireq: MATH 106, 113A, 115A, 116, 137, 140A, 147
This course is being replaced in the Faculty core by MATH 137 effective Fall, 1989. MATH 130A will not be offered after Spring, 1989.
Techniques of integration, applications of the integral, indeterminate forms, Taylor's theorem, convergence of sequences and series, power series.
Prereq: MATH 130A
Antireq: MATH 113B, 115B, 118, 138, 140B, 148
This course is being replaced in the Faculty core by MATH 138 effective Winter, 1990. MATH 130B will not be offered after Winter, 1990.
Basic set theory, cardinality, elementary number theory, number systems, polynomials. Prereq: Grade 13 or OAC Algebra Antireg: MATH 111A, 135, 144A, 145 This course is being replaced in the Faculty core by MATH 135 effective Fall, 1989. MATH 134A will not be offered after Winter, 1989.
Systems of equations, vector spaces, matrices, determinants, geometric applications.
Prereq: Grade 13 or OAC Algebra. MATH 134A is recommended but not required.
Antireq: MATH 111B, 114, 136, 144B, 146
This course is being replaced in the Faculty core by MATH 136 effective Fall, 1989. MATH 134B will not be offered after Spring, 1989.
A study of the basic algebraic systems of mathematics: the integers, the integers modulo n, the rational numbers, the real numbers, the complex numbers and polynomials.
Prereq: OAC Algebra or equivalent
Antireq: MATH 111A, 134A, 144A, 145
This course replaces MATH 134A in the Faculty core effective Fall, 1989. MATH 1335 is also offered at St. Jerome's College in the Fall term.
Systems of linear equations and matrices. Determinants. Vector spaces. Applications selected from
graph theory, geometry, least squares
problems and error-correcting codes.
Prereq: OAC Algebra or equivalent. MATH 1385 is recommended but not required.
Antireq: MATH 111B, 114, 134B, 144B, 146
This course replaces MATH 134B in the Faculty core effective Winter, 1990. MATH 136 is also offered at St. Jerome's College in the Winter term.
Review of limits and inverse functions. Riemann sums and the definite integral. The fundamental theorem and applications of integration. Introduction to sequences and series; tests for convergence.
Prereq: OAC Calculus or equivalent
Antireq: MATH 106, 113A, 115A, 116, 130A, 140A, 147
This course replaces MATH 130A in the Faculty core effective Fall, 1989. MATH 137 is also offered at St. Jerome's Collage in the Fall term.
Mean value theorem. L'Hépital's rule. Polynomial approximations and power series representations. Convergence. Taylor series. An introduction to functions of two variables.
Prereq: MATH 137
Antireq: MATH 113B, 115B, 118, 130B, 1408, 148
This course replaces MATH 130B in the Faculty core effective Winter, 1990. MATH 138 is also offered at St. Jerome's College in the Winter term.
MATH 140A is an advanced-level, enriched version of MATH 130A. Prereq: Grade 13 or OAC Calculus and a Grade 13 or OAC math average of at least 85%, or consent of instructor Antireq: MATH 106, 113A, 115A, 116, 130A, 137, 147 This course is being replaced by MATH 147 effective Fall, 1989. MATH 140A will not be offered after Fall, 1988.
MATH 1408 is an advanced-level, enriched version of MATH 130B.
Prereq: MATH 140A or consent of instructor
Antireq: MATH 1138, 115B, 118, 130B, 138, 148
This course is being replaced by MATH 148 effective Winter, 1990. MATH 140B will not be offered after Spring, 1989.
MATH 144A is an advanced-level.
enriched version of MATH 134A. Prereq: Grade 13 or OAC Algebra
and a Grade 13 or OAC math average
of at least 85%, or consent of instructor Antireq: MATH 111A, 134A, 135, 145 This course is being replaced by
MATH 145 effective Fall, 1989. MATH
144A will not be offered after Fall, 1988.
MATH 144B is an advanced-level, enriched version of MATH 134B.
Prereq: MATH 144A or consent of instructor
Antireq: MATH 1118, 114, 1348, 136, 146
This course is being replaced by MATH 146 effective Winter, 1990. MATH 1448 will not be offered after Spring, 1989.
MATH 145 is an advanced-level, enriched version of MATH 135. Prereq: OAC Algebra (or equivalent) and an OAC math average of at least 85%, or consent of instructor Antireq: MATH 111A, 134A, 135, 144A This course replaces MATH 144A effective Fall, 1989.
Course Descriptions 16:114 Mathematics: Non-Departmental
MATH 146 is an advanced-level, enriched version of MATH 136. Prereq: MATH 145 or consent of instructor Antireq: MATH 111B, 114, 134B, 136, 144B This course replaces MATH 144B effective Winter, 1990.
MATH 147 is an advanced-tevel, enriched version of MATH 137. Prereq: OAC Calculus (or equivalent) and an OAC math average of at least 85%, or consent of instructor Antireq: MATH 106, 113A, 115A, 116, 130A, 137, 140A This course replaces MATH 140A effective Fall, 1989. —
MATH 148 is an advanced-level, enriched version of MATH 138. Prereq: MATH 147 or consent of instructor Antireq: MATH 113B, 115B, 118, 130B, 138, 140B This course replaces MATH 140B effective Winter, 1990.
Partial differentiation, the gradient, multipfe integrals with applications, line and surface integrals, divergence and curl, theorems of Green and Stokes. Applications to physical problems.
Prereq: MATH 118
Antireq: AM 231, MATH 212, 213B, 2208, 2308, 2408.
Not open to students in the Faculty of Mathematics.
Fourier series; Ordinary differential equations; Laplace transform; applications to linear electrical systems.
Prereq: MATH 118
Antireq: MATH 213A, 220A, 227, 230A, 237, 240A, 247
Cross-listed as EL E 205
Not open to students in the Faculty of Mathematics.
16:712 Course Descriptions Mathematics.
Non-Departmental
Vector differential calculus. Multiple Integrals. Line and Surface Integrals. Complex analysis: analytic functions, complex integrals, residues. Partial differential equations.
Prereq: MATH 211
Antireq: AM 231, MATH 210, 213B, 220B, 230B, 240B
Cross-listed as EL E 206
Not open to students in the Faculty of Mathematics.
Infinite series. Partial derivatives, chain rule, total differential, Taylor's theorem, extreme values.
Prereq: MATH 113B or 115B
Coreq: MATH 111B
Antireq: MATH 211, 220A, 227, 230A, 237, 240A, 247
Not open to students in the Faculty of Mathematics.
Multiple Integrals. Vector calculus: gradient, directional derivative, divergence, curl, line integrals and path independence. Green's theorem, Stokes’ theorem, and Gauss’ theorem. Prereq: MATH 213A or equivalent Antireq: AM 231, MATH 210, 212, 220B, 230B, 240B Not open to students in the Faculty of Mathematics.
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 1138 or 1158, 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: One of MATH 113B, 115B, 118, or equivalent
Not open to students in the Faculty of Mathematics.
Differential calculus for functions of several variables.
Prereq: MATH 130B
Coreq: MATH 134B
Antireq: MATH 211, 213A, 227, 230A, 237, 240A, 247
Not open ta Honours Mathematics students..
This course is being replaced by MATH 227 effective Fall, 1990. MATH 220A will not be offered on campus after Fall, 1990.
Double integrais, triple integrals. Line
integrals and Green's theorem. Ordi-
nary differential equations.
Prereq: MATH 220A
Antireq: AM 231, MATH 210, 212, 213B, 230B, 240B
Not open to Honours Mathematics Students.
This course will not be offered on campus after Winter, 1991.
Linear transformations, eigenvalues, characteristic polynomials, inner products.
Prereq: MATH 134B
Antireq: MATH 225, 234A, 235, 244A, 245
Not open to Honours Mathematics students.
This course is being replaced by MATH 225 effective Fall, 1990. MATH 224A will not be offered on campus after Fail, 1990.
Elementary group and field theory and other topics in algebra.
Prereq: MATH 134A, 224A
Antireq: MATH 234B, 2448, PMATH 336
Not open to Honours Mathematics students.
This course will not be offered on campus after Winter, 1997.
Linear transformations, eigenvalues and eigenvectors. Applications selected from computer graphics, cryptography, differential equations, quadratic forms, conic sections. Prereq: MATH 111B or equivalent Antireq: MATH 224A, 234A, 235, 244A, 245 Not open to Honours Mathematics students. This course replaces MATH 224A eftective Fall, 1990.
Calculus of functions of several variables. Limits, continuity, differentiability, the chain rule. Taylor's formula. Optimization problems, mappings, the Jacobian. Multiple integrals. Prereq: MATH 1138 or equivalent Coreq: MATH 111B or equivalent Antireq: MATH 211, 213A, 220A, 230A, 237, 240A, 247 Not open to Honours Mathematics Students This course replaces MATH 220A effective Fall, 1990.
Differential calculus of functions of several variables; limits and continuity, partial derivatives, differentiability, chain rule, Taylor's formula, extreme values, mappings and Jacobians.
Prereq: MATH 130B
Coreq: MATH 134B
Antireq: MATH 211, 213A, 220A, 227, 237, 240A, 247
This course is being replaced in the Faculty core by MATH 237 effective Fall, 1990. MATH 230A will not be offered after Fall, 1990. MATH 230A is also offered at St. Jerome's College in the Fail term.
Integral calcutus of functions of several variables; multiple integrals, iterated integrals; change of variables, applications to area and volume calculations. Line integrals, Green's Theorem and path independence. Sequences and series of functions; uniform convergence and power series.
Prereq: MATH 230A
Antireq: AM 231, MATH 210, 212, 213B, 220B, 240B
This course is being replaced by AM 231 effective Winter, 1991. MATH 2308 will not be offered after Fall, 1990. MATH 230B is also offered at St. Jerome's College in the Winter term.
Linear transformations, eigenvalues, characteristic polynomials, inner products.
Prarag: MATH 134B
Antireq: MATH 224A, 225, 235, 244A, 245
This course is being replaced in the Faculty core by MATH 235 effective Fall, 1990. MATH 234A will not be offered after Winter, 1990. MATH 234A is also offered at St. Jerome's College in the Fall term.
Groups, fields and other topics in abstract algebra.
Prereq: MATH 134A, 234A
Antireq: MATH 224B, 244B, PMATH 336
This course is being replaced by PMATH 336 effective Winter, 1991. MATH 234B will not be offered after Fall, 1990. MATH 234B is also offered at St. Jerome's College in the Winter term.
Linear transformations, eigenvalues and eigenvectors. Applications selected from computer graphics, cryptography, differential equations, quadratic forms, conic sections.
Prereq: MATH 136
Antireq: MATH 224A, 225, 234A, 244A, 245
This course replaces MATH 234A in the Faculty core eftective Fall, 1990. MATH 235 is also offered at St. Jerome's College in the Fall term.
Calculus of functions of several variables. Limits, continuity, differentiability, the chain rule, Taylor's formula. Optimization problems, mappings, the Jacobian. Multiple integrals.
Prereq: MATH 138
Coreq: MATH 136
Antireq: MATH 211, 213A, 220A, 227, 230A, 240A, 247
This course replaces MATH 230A in the Faculty core effective Fall, 1990. MATH 237 is also offered at St. Jerome's College in the Fall term.
MATH 240A is an advanced-ievel, enriched version of MATH 230A.
Prereq: MATH 140B or consent of instructor
Antireq: MATH 211, 213A, 220A, 227, 230A, 237, 247
This course is being replaced by MATH 247 effective Fall, 1990. MATH 240A will not be offered after Winter, 1990.
MATH 240B is an advanced-level, enriched version of MATH 230B.
Prereq: MATH 240A or consent of instructor .
Antireq: AM 231, MATH 210, 212, 213B, 220B, 230B
This course will not be offered after Fail, 1990.
MATH 244A is an advanced-ievel, enriched version of MATH 234A. - Prereq: MATH 144B or consent of
instructor
Antireq: MATH 224A, 225, 234A, 235, 245
This course is being replaced by MATH 245 effective Fall, 1990. MATH 244A will not be offered after Fall, 1990.
MATH 2446 is an advanced-level, enriched version of MATH 234B. Prereq: MATH 144A/B or consent of instructor Antireq: MATH 2248, 234B, PMATH 336 This course will not be offered after Spring, 1990.
Course Descriptions 16:113 Mathematics: Non-Departmental
MATH 245 is an advanced-level, enriched version of MATH 235. Prereq: MATH 146 or consent of instructor Antireq: MATH 224A, 225, 234A, 235, 244A This course replaces MATH 244A effective Fall, 1990.
MATH 247 is an advanced-level, enriched version of MATH 237. Prereq: MATH 148 or consent of instructor Coreq: MATH 136 or 146 Antireg: MATH 211, 213A, 220A, 227, 230A, 237, 240A ; This course replaces MATH 240A effective Fall, 1990.
Sequences and series, functions and continuity, Laplace transforms, Fourier series, applications.
Prereq: MATH 220A. MATH 220B is recommended but not required.
Antireq: AM/PMATH 331, PMATH 351
Not open to Honours Mathematics students.
This course will not be offered on campus after Fall, 1991.
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. The emphasis will be on applications.
Prereq: MATH 220B
Antireq: AM/PMATH 332, MATH 332B, PMATH 352
Not open to Honours Mathematics students. .
This course will not be offered on campus after Winter, 1992.
Topics in abstract algebra: groups, rings, fields and applications. Prereq: MATH 224B Antireq: PMATH 334, 344 Not open to Honours Mathematics students. This course will not be offered on campus after Fall, 1991.
16:114 Course Descriptions Mathematics.
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.
Prereq: MATH 230B
Antireq: AM/PMATH 332, MATH 322B, PMATH 352
Not available for credit to students in Honours Pure Mathematics programs.
Not offered in 1989–90.
Not offered in 1989–90.