49 courses in the 1993–94 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
control, reliability/maintenance, facilities layout, job design, production standards and work measurement.
Prereq: M SCI 331, C&O 350, or equivalent
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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.
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 OAC Algebra, OAC Finite Mathematics, or the equivalent.
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
Course Descriptions Mathematics
Not open to students in the Faculties of Engineering, Mathematics or Science, or to other students who have credit in OAC Calculus or the equivalent.
Review of functions, limits and differentiation, including trigonometric, exponential and logarithm functions. interpretation and applications of the derivative. Riemann sums and the integral. Antiderivatives and the Fundamental Theorem of Calculus. Applications of the integral. Transforming and evaluating integrals. Improper integrals.
Prereq: OAC Calculus
Antireq: MATH 117, 127, 137, 147
Not open to Honours Mathematics students.
Separable and linear differential equations. Convergence of series. Taylor polynomials and Taylor series. Parametric representation of curves. Functions of two variables. Partial derivatives and the linear approximation. Directional derivatives. The Chain Rule. Maxima and minima. Prereq: MATH 107 or equivalent Antireq: MATH 118, 128, 138, 148 Not open to Honours Mathematics students.
Review and extension of differential calculus for functions of one variable. Multivariable differentiat calculus. Partial derivatives, the chain rule, maxima and minima and Lagrange multipliers. Mathematics of finance. Simple and compound interest, present value, annuities and continuous compounding. ~ Prereq: OAC Calculus, or MATH 104 Antireq: All Calculus courses labelled . MATH 1x7, 1x8 Open only to Arts students in the School of Accountancy.
Matrix algebra. Systems of linear equations. Determinants. Vectors in Euclidean space, lines, planes, spheres. Eigenvalues. Introduction to vector spaces.
Prereq: OAC Algebra
Antireq: MATH 1118, 136, 146
Not open to students in the Faculty of Mathematics.
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Review of functions, limits and differentiation. Riemann sums and the integral. Antiderivatives and the Fundamental Theorem of Calculus. Transforming and evaluating integrals. Applications of the integral. Improper integrals. Parametric representation of curves. Separable and linear differential equations.
Prereq: OAC Calculus
Antireq: MATH 107, 127, 137, 147
Not open to students in the Faculty of Mathematics.
Taylor's theorem and polynomial approximations. indeterminate forms and Hopitals theorem. Convergence of series. Taylor series. Functions of two variables. Partial derivatives and the finear approximation. Directional derivatives. The Chain Rule.
Prereq: MATH 117 or equivalent
Antireq: MATH 108, 128, 138, 148
Not open to students in the Faculty of Mathematics.
Vectors in 2- and 3-space, and their geometry. Vectors in n-space. Scalar and vector products. Matrices. Systems of linear equations. Determinants. Complex numbers. Applications.
Prereq: One of OAC Algebra, OAC Finite Mathematics, MATH 103
Antireq: MATH 114, 136, 146
Not open to Honours Mathematics students.
Linear independence and bases. Linear transformations and matrices. Orthogonal transformations. Eigenvalues and eigenvectors. Diagonalization. Applications. Prareq: MATH 125, or equivalent Antireq: MATH 235, 245 Not open to Honours Mathematics students.
Review of functions, limits and differentiation. interpretation and applications of the derivative. Riemann sums and the integral. Antiderivatives and the Fundamental Theorem of Calculus. Applications of the integral. Transforming and evaluating integrals. Improper integrals. Separable and linear differential equations.
Prereq: OAC Calculus
Antireq: MATH 107, 117, 137, 147
Not open to students in the Faculty of Mathematics.
Approximations using Taylor polynomials, estimating errors, order symbols. Convergence of series. Taylor series. Parametric representation of curves. Plan polar, cylindrical and spherical polar coordinates. Functions of two variables. Partial derivatives and the linear approximation. Directional derivatives. The Chain Rule. Maxima and minima.
Prereq: MATH 127, or equivalent
Antireq: MATH 108, 118, 138, 148
Not open to students in the Faculty of 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 145 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 135 is recommended but not required.
Antireq: MATH 114, 125, 146
Also offered at St. Jerome’s College in the Winter term
Functions, limits, and continuity. Review of differentiation. Interpretation and applications of the derivative. The Mean Value Theorem. inverse functions. Riemann sums and the integral. Antiderivatives and the Fundamental Theorem of Calculus.Applications of the integral. Transforming and evaluating integrals.
Prereq: OAC Calculus
Antireq: MATH 107, 117, 127, 147
Also offered at St. Jerome's College in the Fall term
Course Descriptions Mathematics
Separable and linear differential equations. Taylor's theorem and polynomial approximations. L'Hopital’s theorem and order symbols. Limits at infinity and improper integrals. Convergence of series. Functions defined as power series. Parametric representation of curves, arc length. Functions of two variables. Partial derivatives and the linear approximation.
Prereq: MATH 137
Antireq: MATH 108, 118, 128, 148
Also offered at St. Jerome's College in the Winter term.
MATH 145 is an advanced-level version of MATH 135.
Prereq: OAC Algebra (or equivalent) and an OAC math average of at least 85%, or consent of instructor
Antireq: MATH 135
MATH 146 is an advanced-level version of MATH 136.
Prereq: MATH 145 or consent of instructor
Antireq: MATH 114, 125, 136
MATH 147 is an advanced-ievel version of MATH 137.
Prereq: OAC Calculus (or equivalent) and an OAC math average of at least 85%, or consent of instructor
Antireq: MATH 107, 117, 127, 137
MATH 148 is an advanced-level version of MATH 138.
Prereq: MATH 147 or consent of instructor .
Antireq: MATH 108, 118, 128, 138
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 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, camplex 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 108 or 128 Coreg: MATH 125 Antireq: MATH 211, 227, 237, 247 Not open to students in the Faculty of Mathematics.
Muttiple 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 ot ordinary differential equations with emphasis on special functions encountered in chemistry (Hermite and Legendre equations). Introduction to matrix algebra and eigenvalue problems. Prereq: MATH 108 or 128, or equivalent Antireq: AM 250, MATH 216 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 108, 118, 128 or equivalent
Not open to students in the Faculty of 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 108 or equivalent Coreq: MATH 125 or equivalent Antireq: 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 126, 245
Also offered at St. Jerome's College in the Fall term.
Calculus of functions of several variables. Limits, continuity, differentiability, the chain tule, Taylor's formuta. Optimization problems, mappings, the Jacobian. Multiple integrals.
Prereq: MATH 138
Coreq: MATH 136
Antireq: MATH 211, 213A, 227, 247
Also offered at St. Jerome's College in the Fall term.
MATH 245 is an advanced-level version of MATH 235.
Prereq: MATH 146 or consent of instructor
Antireq: MATH 126, 235
Course Descriptions Mathematics - Mechanical Engineering
MATH 247 is an advanced-level 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 1993–94.