MATH 000 Co-op OrientationF,W 1C 0.0
MATH 000 is a non-credit orientation course for new Co-op Math students.
Mathematics (MATH)
47 courses in the 1988–89 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Notes
Computer Science
MATH 010 Non-Credit Night LabF,W,S 0.0
All students enrolled in one or more of . MATH 130A/B, 134A/B, 140A/B, 144A/B, 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.
MATH 103 Introductory Algebra (For students in Arts/Social Sciences)F 3C,1T 0.5
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 the equivalent
Not open to students in the Faculty of Mathematics or to students who have credit in Grade 13 Algebra.
Students who have credit in both Grade 13 Calculus and Relations and Functions must obtain permission from the instructor to take MATH 103.
16:106 Course Descriptions
Mathematics.
MATH 104 Introductory Calculus (For students in Arts/Social Sciences)W 3C,1T 0.5
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 the equivalent
Not open to students in the Faculty of Mathematics or to students who have credit in-Grade 13 Calculus.
MATH 106 Mathematics (For Kinesiology Students)F 3C,1T 0.5
Algebraic functions and their graphs; exponential and logarithmic functions; elementary differential and integral calculus; applications and problems associated with kinesiology.
Not open to students in the Faculty of Mathematics.
Antireq: MATH 110A, 113A, 115A.
130A, 140A
MATH 110A Calculus 1a (For EngineeringF 3C,2T 0.625
Students).
Functions, continuity and derivatives; Trig functions, Related rates, Curve sketching. Exponential and log functions. Integration, Techniques of Integration. Applications to area and volume problems..
Prereq: Grade 13 Calculus
Not open to students in the Faculty of Mathematics. .
Antireq: MATH 106, 113A, 115A, 130A, 140A.
MATH 110B Calculus 1b (For Engineering Students)W,S 3C,2T 0.5
Polar co-ordinates; Power series, Taylor's series. First order differential equations. Parametric equations. Partial Derivatives, Directional Derivatives, Differential. Max-Min problems.
Prereq: MATH 110A \
Not open to students in the Faculty of Mathematics.
Antireq: MATH 113B, 115B, 130B, 140B
MATH 111A Algebra (For Arts and Science Students)F 3C,1T 0.5
£lementary number theory, number systems, mathematical induction, binomial theorem, complex numbers, polynomials.
Prereq: Grade 13 Algebra is recom mended but not required
Not open to students in the Faculty of Mathematics.
Antireq: MATH 134A, 144A
MATH 111B Linear Algebra and Solid Geometry (For Arts and Science Students)W,S 3C,1T 0.5
Determinants, vectors, matrices, elementary solid geometry, systems of linear equations.
Prereq: Grade 13 Algebra is recom mended but not required
Not open to students in the Faculty of Mathematics.
Antireq: MATH 114, 134B, 144B
MATH 113A Calculus (For Arts and Science Students)F 3C,2T 0.5
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 Calculus
Not open to students in the Faculty of Mathematics.
Antireq: MATH 106, 110A, 115A, 130A, 140A
MATH 113B Calculus (For Arts and Science Students)W 3C,2T 0.5
Techniques of integration. Indeterminate forms and L'Hdpital’s rule. Infinite series. Parametric equations, arc length, volumes and surfaces of revolution. Polar co-ordinates. Elementary differential equations.
Prereq: MATH 113A
Not open to students in the Faculty of Mathematics.
Antireq: MATH 110B, 115B, 130B, 140B
MATH 114 Algebra 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 Not open to students in the Faculty of Mathematics. Antireq: MATH 111B, 134B, 144B
MATH 115A Calculus (For Co-op Physics and 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, hyperbolic and inverse hyperbolic functions.
Prereq: Grade 13 Calculus
Not open to students in the Faculty of Mathematics..
Antireq: MATH 106, 110A, 113A, 130A, 140A
MATH 115B Calculus (For Co-op Physics and Chemistry)W,S 3C,2T 0.5
Techniques of integration. Improper integrals. Indeterminate forms and L'Hépital’s rule. Infinite series. Parametric equations and polar co-ordinates. Partial derivatives.
Prereq: MATH 115A
Not open to students in the Faculty of Mathematics.
Antireq: MATH 110B, 113B, 130B, 140B
MATH 130A CalculusF,W,S 3C,1T 0.5
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
Antireq: MATH 106, 110A, 113A, 115A, 140A
Also offered at St. Jerome's College in the Fall term.
MATH 130B CalculusF,W,S 3C,1T 0.5
Techniques of integration, applications of the integral, indeterminate forms, Taylor’s theorem, convergence of sequences and series, power series.
Prereq: MATH 130A
Antireq: MATH 110B, 113B, 115B, 140B
Also offered at St. Jerome's College in the Winter term.
MATH 134A AlgebraF,W 3C,1T 0.5
Basic set theory, cardinality, elementary number theory, number systems, polynomials.
Prereq: Grade 13 Algebra
Antireq: MATH 111A, 144A
Also offered at St. Jerome's College in the Fall term.
MATH 134B Linear Algebra 1F,W,S 3C,1T 0.5
Systems of equations, vector spaces, matrices, determinants, geometric applications. Prereq: Grade 13 Algebra (MATH 134A is recommended, but not required) Antireq: MATH 111B, 114, 144B Also offered at St. Jerome's College in the Winter term.
MATH 140A CalculusF 3C 0.5
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)
Antireq: MATH 106, 110A, 113A, 115A, 130A
MATH 140B CalculusW,S 3C 0.5
MATH 140B is an advanced-level, enriched version of MATH 130B.
Prereq: MATH 140A (or permission of instructor)
Antireq: MATH 110B, 113B, 115B, 130B
MATH 144A AlgebraF 3C 0.5
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)
Antireq: MATH 111A, 134A
MATH 144B Linear Algebra 1W,S 3C 0.5
MATH 144B is an advanced-level, enriched version of MATH 134B.
Prereq: MATH 144A (or permission of instructor).
Antireq: MATH 111B, 114, 134B
MATH 210 Calculus 2 (For Chemical Engineers)F,W 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 problems.
Prereq: MATH 110B
Not open to students in the Faculty of Mathematics.
Antireq: MATH 212, 213B, 220B, 230B, 240B
MATH 211 Advanced Calculus for Electrical Engineers 1F,W 3C,1T 0.5
Fourier series; Ordinary differential equations; Laplace transform; applications to linear electrical systems.
Prereq: MATH 110B
Not open to students in the Faculty of Mathematics.
Cross-listed as EL E 205
Antireq: MATH 213A, 220A, 230A, 240A
MATH 212 Advanced Calculus for Electrical Engineers 2F,S 3C,1T 0.5
Vector differential calculus. Multiple Integrals. Line and Surface Integrals. Complex analysis: analytic functions, complex integrals, residues. Partial differential equations.
Prereq: MATH.211
Not open to students in the Faculty of Mathematics.
Cross-listed as EL E 206
Antireq: MATH 210, 213B, 220B, 230B, 240B
MATH 213A Calculus 2 (For Science Students)F 3C 0.5
Infinite series. Partial derivatives, chain
‘tule, total differential, Taylor's theorem.
extreme values.
Prereq: MATH 113B or 115B, and MATH 1118, or equivalent
Not open to students in the Faculty of Mathematics.
Antireq: MATH 211, 220A, 230A, 240A
MATH 213B Calculus 2 (For Science Students)W,S 3C 0.5
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 220A, or equiv alent
Not open to students in the Faculty of Mathematics.
Antireq: MATH 210, 212, 220B, 230B, 240B
MATH 215 Differential 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 113B or 115B, or equi alent
Not open to students in the Faculty of Mathematics.
Course Description- 16:107
Mathematics.
MATH 216 Differential 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: One of MATH 110B, 113B, 115B, or equivalent
Not open to students in the Faculty of Mathematics.
MATH 220A Advanced CalculusF 3C,1T 0.5
Differential calculus for functions of several variables. Prereq: MATH 130B Coreq: MATH 134B Antireq: MATH 211, 213A, 230A, 240A Not open to Honours Mathematics students.
MATH 220B Advanced CalculusW 3C,1T 0.5
Double integrals, triple integrals. Line integrals and Green’s theorem. Ordinary differential equations.
Prereq: MATH 220A
Antireq: MATH 210, 212, 213B, 230B, 240B
Not open to Honours Mathematics students.
MATH 224A Linear Algebra 2F 3C 0.5
Linear transformations, eigenvalues, characteristic polynomials, inner products.
Prereq: MATH 134B
Antireq: MATH 234A, 244A
Not open to Honours Mathematics students.
MATH 224B Abstract Algebra 1W 3C 0.5
Elementary group and field theory and other topics in algebra. Prereq: MATH 134A, 224A Antireq: MATH 234B, 244B : Not open to Honours Mathematics students.
MATH 230A Advanced CalculusF,W,S 3C,1T 0.5
Differential calculus of functions of several variables; limits and continuity, partial derivatives; differentiability, chain tule, Taylor's formula, extreme values, mappings and Jacobians.
Prereq: MATH 130B
Coreq: MATH 134B
Antireq: MATH 211, 213A, 220A, 240A
Also offered at St. Jerome’s. College in the Fall term.
16:108 Course Descriptions Mathematics.
MATH 230B Advanced CalculusF,W,S 3C,1T 0.5
Integral calculus 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: MATH 210, 212, 213B, 220B, 240B
Also offered at St. Jerome's College in the Winter term.
MATH 234A Linear Algebra 2F,W,S 3C 0.5
Linear transformations, eigenvalues, characteristic polynomials, inner products.
Prereq: MATH 134B
Antireq: MATH 224A, 244A
Also offered at St. Jerome's College in the Fall term.
MATH 234B Abstract Algebra 1F,W,S 3C 0.5
Groups, fields and other topics in abstract algebra.
Prereq: MATH 134A, 234A
Antireq: MATH 224B, 244B
Also offered at St. Jerome's College in the Winter term.
MATH 240A Advanced CalculusF,W 3C 0.5
MATH 240A is an advanced-level, enriched version of MATH 230A.
Prereq: MATH 140B (or permission of instructor)
Antireq: MATH 211, 213A, 220A, 230A
MATH 240B Advanced CalculusF,W,S 3C 0.5
MATH 240B is an advanced-level, enriched version of MATH 230B.
Prereq: MATH 240A (or permission of instructor)
Antireq: MATH 210, 212, 213B, 220B, 230B
MATH 244A Linear Algebra 2F 3C 0.5
MATH 244A is an advanced-level, enriched version of MATH 234A. Prereq: MATH 144B (or permission of instructor) Antireq: MATH 224A, 234A
MATH 244B Abstract Algebra 1W,S 3C 0.5
MATH 244B is an advanced-level, enriched version of MATH 234B. Prereq: MATH 144A/B (or permission of instructor) Antireq: MATH 224B, 234B
MATH 322A Introduction to Real AnalysisF 3C 0.5
Sequences and series, functions and continuity, Laplace transforms, Fourier series, applications.
Prereq: MATH 220A (MATH 220B is recommended)
Antireq: PMATH 331, 351A
Not open to Honours Mathematics students.
MATH 322B Introduction to Complex Variable TheoryW 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
Not open to Honours Mathematics students.
MATH 324 Abstract Algebra 2F 3C 0.5
Topics in abstract algebra: groups, rings, fields and applications.
Prereq: MATH 224B
Antireq: PMATH 334, 344
Not open to Honours Mathematics students.
MATH 332B An Introduction to Complex Variable TheoryW,S 3C 0.5
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. Prereq: MATH 230B Antireg: MATH 322B, PMATH 352
MATH 226A Elementary Differential Equations |
Not offered in 1988–89.
MATH 226B Elementary Differential Equations Il
Not offered in 1988–89.