42 courses in the 1992–93 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
(See also Actuarial Science, Applied Mathematics, Combinatorics and Optimization, Computer Science, Mathematics Electives, Pure Mathematics, Statistics.)
Undergraduate Office MC 5115, ext. 3905
Courses not offered in the current academic year are listed at the end of this section.
All students enrolled in one or more of MATH 135, 136, 137, 138, 145, 146, 147, 148, and CS 130, 134 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.
Course Descriptions Mathematics
All students enrolled in any second-year 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 non-credit lab that is scheduled from 4:30 to 6:30 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 enrol in MATH 103.
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.
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 calculus; applications and problems associated with kinesiology.
Antireq: MATH 113A, 115A, 116, 137, 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 135, 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 degree.
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 prerequisite for MATH 1118.
Antireq: MATH 114, 136, 146
This course is designed for students in the Faculties of Arts and Science and students in the three-year BMath General program. {t cannot be counted for credit toward a BMath Honours 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, 137, 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 degree.
Techniques of integration. Indeterminate forms and L’Hépital’s rule. Infinite series. Parametric equations, arc length, volumes and surfaces of revolution. Polar coordinates. Elementary differential equations. Prereq: MATH 113A or equivalent Antireq: MATH 115B, 118, 138, 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 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 1118, 136, 146
Not open to 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, 137, 147
Not open to students in the Faculty of Mathematics.
Techniques of integration. Improper integrais. Indeterminate forms and L'Hépital’s tule. Infinite series, Parametric equations and polar co-ordinates. Partial derivatives. Prereq: MATH 115A Antireq: MATH 113B, 118, 138, 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. Prereq: Grade 13 or OAC Calculus Antireg: MATH 106, 113A, 115A, 137, 147 Not open to students in the Faculty of Mathematics.
Sequences and series of numbers, and convergence; 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 or equivalent Antireq: MATH 113B, 115B, 138, 148 Not open to students in the Faculty of Mathematics.
Course Descriptions Mathematics
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, 145 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 errorcorrecting codes.
Prereq: OAC Algebra or equivalent. MATH 135 is recommended but not required.
Antireq: MATH 111B, 114, 146
MATH 136 is also offered at St. Jerome's College in the Winter term.
Review of limits, continuity and inverse functions. Riemann sums and the definite integral. The fundamental theorem, techniques of integration and applications of integration. Prereq: OAC Calculus or equivalent Antireg: MATH 106, 113A, 115A, 116, 147 MATH 137 is also offered at St Jerome's College in the Fall term.
Mean value theorem, I'Hépital’s rule, and Taylor polynomials. Infinite series and tests for convergence. Power series. An introduction to functions of two variables. Prereq: MATH 137 Antireq: MATH 113B, 115B, 118, 148 MATH 138 is also offered at St. Jerome's College in the Winter term.
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, 135
MATH 146 is an advanced-level, enriched version of MATH 136.
Prereq: MATH 145 or consent of instructor
Antireq: MATH 111B, 114, 136
16:93
MATH 147 is an advanced-level, 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, 137
MATH 148 is an advanced-level, enriched version of MATH 138.
Prereq: MATH 147 or consent of instructor
Antireq: MATH 113B, 115B, 118, 138
Partial differentiation, the gradient, multiple integrals with applications, fine and surface integrals, divergence and curl, theotems of Green and Stokes. Applications to physical problems.
Prereq: MATH 118
Antireq: AM 231, MATH 212, 2138
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, 227, 237, 247
Cross-listed as E&CE 205
Not open to students in the Faculty of Mathematics.
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
Cross-listed as E&CE 206
Not open to students in the Faculty of Mathematics.
Infinite series. Partial derivatives, chain tule, total differential, Taylor's theorem, extreme values.
Prereq: MATH 113B or 115B
Coreq: MATH 1118
Antireq: MATH 211, 227, 237, 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
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 115B, 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.
Linear transformations, eigenvalues and eigenvectors. Applications selected from computer graphics, cryptography, differential equations, quadratic forms, conic sections. Prereq: MATH 1118 or equivalent Antireq: MATH 235, 245 Not open to Honours Mathematics students.
Course Descriptions Mathematics
Calculus of functions of several variables. Limits, continuity, differentiability, the chain tule. Taylor’s formula. Optimization problems, mappings, the Jacobian. Multiple integrals. Prereq: MATH 1138 or equivalent Coreq: MATH 111B or equivalent Antireg: MATH 211, 213A, 237, 247 Not open to Honours Mathematics Students
Linear transformations, eigenvalues and eigenvectors. Applications selected from computer graphics, cryptography, differential equations, quadratic forms, conic sections.
Prereq: MATH 136
Antireq: MATH 225, 245
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, 227, 247 MATH 237 is also offered at St. Jerome's College in the Fall term.
MATH 245 is an advanced-level, enriched version of MATH 235.
Prereq: MATH 146 or consent of instructor
Antireq: MATH 225, 235
MATH 247 is an advanced-level, enriched version of MATH 237.
Prereq: MATH 148 or consent of instructor
Coreq: MATH 136 or 146
Antireq: MATH 211, 213A, 227, 237
Not offered in 1992–93.
Not offered in 1992–93.
Not offered in 1992–93.
Not offered in 1992–93.
Not offered in 1992–93.
Not offered in 1992–93.
Not offered in 1992–93.