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)
42 courses in the 1985–86 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 MATH 130a/b, MATH 134a/b, and/or CS 140/180 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.
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 sucial 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 creait in Grade 13 Calculus.
MATH 105 Mathematics (For Environmental Studies Students)F 3C 0.5
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 Binomial, Poisson and Normal distributions, with applications to problems in Environmental Studies.
Not open to students in the Faculty of Mathematics.
16.101
MATH 106 Mathematics (For KinesiologyF 3C,1T 0.5
Students) . 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.
Credit will be granted for only 1 of MATH 106, 110a, 1138, 115a, 130a, 140a..
MATH 110A Calculus 1a (For Engineering Students)F 3C,2T 0.625
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.
Credit will be granted for only 1 of MATH 106, 110a, 113a, 115a, 130a, 140a.
MATH 110B Caiculus 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.
Creait will be granted for only 1 of © MATH 110b, 113b, 115b, 130b, 140b.
MATH 111A Algebra (For Arts and Science Students) Elementary Number Theory, numberF 3C,1T 0.5
systems, mathematical induction, the Binomial Theorem, complex numbers, polynomiats.
Prereq: Grade 13 Algebra is recommended but not required
Not open to students in the Faculty of Mathematics.
Credit will be granted for only 1 of MATH 11 1a, 134a, 1442.
“MATH 111b WS 3C,1T 0.5 Linear Algebra and Solid Geometry (For Arts and Science Students) Determinants, vectors, matrices, elementary solid geometry, systems of linear equations.
Prereq: Grade 13 Algebra is recor mended but not required
Not open to students in the Faculty of Mathematics.
Credit will be granted for only 1 of MATH 111b, 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
Creclit will be granted for only 1 of MATH 106, 110a, 113a, 118a, 130a. 140a.
MATH 113B Calculus (For Arts and Science Students)W 3C,2T 0.5
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
Not open to students in the Faculty of Mathematics
Credit will be granted for only 1 of MATH 1106, 113b, 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.
Credit will be granted for only 1 of MATH 111b, 114, 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 exponentiat functions, hyperbolic and inverse hyperbolic functions.
Prereq: Grade 13 Calcukis
Not open to students in i*e Faculty of Mathematics.
Credit will be granted for only 1 of MATH 106, 110a, 113a, 115a, 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'H6- pital’s rule. Infinite. series. Parametric equations and polar co-ordinates. Partial derivatives.
Prereq: MATH 115a
Not open to students in the Faculty of Mathematics.
Credit will be granted for only 1 of MATH 110b, 113b,.115b, 130b, 140b.
MATH 130A CalculusF,W,S 3C,1T 0.5
Functions and limits, differentiation of trigonometric, logarithmig 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
Credit will be granted for only 1 of MATH 106, 110a, 113a, 115a, 130a, 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 Credit will be granted for only 1 of MATH 110b, 113b, 115b, 130b, 140b Also offered at St. Jerome's College in the Winter term.
Course Descriptions Mathematics
MATH 134A AlgebraF,W 3C,1T 0.5
Basic set theory, cardinality, elementary number theory, number systems, polynomials.
Prereq: Grade 13 Algebra
Credit will be granted for only 1 of MATH 11 1a, 134a, 144a.
Also offered at St. Jerome's Collage 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) Credit will be granted for only 1 of
MATH 11 1b, 114, 134b, 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)
Credit will be granted for only 1 of MATH 106, 110a, 113a, 115a, 130a, 140a..
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} Credit will be granted for only 1 of MATH 110b, 113b, 115b, 130b, 140b.
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)
Credit will be granted for only 1 of MATH 11 ta, 134a, 144a.
MATH 1445 WS 3C 0.5 Linear Algebra 1 MATH 144b is an advanced-level, enriched version of MATH 134b. Prereq: MATH 144a (or permission of instructor) Credit will be granted for only 1 of MATH 111b, 114, 134b, 144b.
Mathematics
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 cur, theorems of Green and Stokes. Applications to physical problems.
Prereq: MATH 110b
Not open to students in the Faculty of Mathematics.
Credit will be granted for only 1 of MATH 210, 212, 213b, 220b, 230b, 240b.
MATH 211 Advanced Calculus for Electrical Engineers 1W,F 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. Credit will be granted for only 1 of MATH 211, 213a, 220a, 230a, 240a.
MATH 212 Advanced Calculus for Electrical Engineers 2S,F 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.
Credit will be granted for only 1 of MATH 210, 212, 213b, 220b, 230b, 240b.
MATH 213A Calculus 2 (For Science Students)F 3C 0.5
Infinite series. Partial derivatives, chain rule, total differential, Taylor’s theorem, extreme values..
Prereq: MATH 113b or 115b, and MATH 111b, or equivalent t
Not open to students in the Faculty of Mathematics.
Credit will be granted for only 1 of MATH 211, 213a, 2208, 230a, 240a.
MATH 2135 W,S 3C 05 Calculus 2 (For Science Students) 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 equivalent
Not open to students in the Faculty of Mathematics.
Credit will be granted for only 1 of MATH 210, 212, 213b, 220b, 230b, 240b.
MATH 215 Ditterential Equations (For Chemistry Students)F,W 3C 05 .
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 equivalent
Not open to students in the Faculty of 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: 1 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
Credit will be granted for only 1 of MATH 211, 213a, 220a, 230a, 2408.
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 Credit will be granted for only 1 of MATH 210, 212, 213b, 220b, 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
Credit will be granted for only 1 of MATH 224a, 234a, 244a.
Not open to Honours Mathematics Students.
16.103
MATH 2245 W 3C 05 Abstract Algebra 1 Elementary group and field theory and other topics in algebra.
Prereq: MATH 134a, 224a Credit will be granted for only 1 of MATH 224b, 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 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.
Prereq: MATH 130b
Coreq: MATH 134b
Credit will be granted for only 1 of MATH 211, 2134, 22028, 230a, 240a.
Also offered at St. Jerome's Collage in the Fail term.
MATH 230B Advanced CalculusF,W,S 3C,1T 0.5
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.
Prereq: MATH 230a
Credit will be granted for only 1 of MATH 210, 212, 213b, 220b, Z30b, 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
Credit will be granted for only 1 of MATH 224a, 234a, 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
Credit will be granted for only 1 of MATH 224b, 234b, 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-ievel, enriched version of MATH 230a.
Prereq: MATH 140b (or permission of .
instructor) Credit will be granted for only 1 of MATH 211, 213a, 220a, 2308, 240a.
MATH 240B Advanced CalculusFL\W,S 3C 0.5
MATH 240b is an advanced-level, enriched version of MATH 230b. Prereq: MATH 240a (or permission of instructor) Credit will be granted for only t of
MATH 210, 212, 213b, 220b, 230b, 240b.
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) : Credit will be granted for only 1 of
MATH 224a, 234a, 244a.
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) Credit will be granted for only 1 of | MATH 224b, 234b, 244b.
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)
Credit will be granted for only 1 of MATH 3228, PMATH 331, 351a
Not open to Honours Mathematics students.
MATH 3220 W 3C 05 Introduction to Complex Variable Theory 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
Credit will be granted for only 1 of MATH 322b, 332b, PMATH 352.
Not open to Honours Mathematics students..
MATH 324 Abstract Algebra 2 1F 3C 0.5
Topics in abstract algebra: groups, tings, fields and applications.
Prereq: MATH p24b
Credit will be granted for only 1 of MATH 324, 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 . Credit will be granted for only 1 of MATH 322b, 332b, PMATH 352.
MATH 226 Elementary Differential Equations
Not offered in 1985–86.