MATH 000 Co-op OrientationF,W 1C 00
“MATH 000 is a non-tredit orientation
course for new Co-op Math students.
Mathematics (MATH)
44 courses in the 1986–87 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 LabFW: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 far mid-term tests in the above courses. This time slot is used only on those evenings when mid-term tests are scheduled.
MATH 108 Introductory Algebra (For students in Arte/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, catculus in business, the behavioural sciences, and the social sciences. The modeis 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 equivatent
Not open to students in the Faculty of Mathematics or to students who have credit in Grade 13 Caiculus.
MATH 106 Mathematics (For Kinesiology Students)F 3C1T 0.5
Algebraic functions and their graphs; . exponential and logarithmic functions; elementary differentia) 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 05 ~
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 Facuity of Mathematics.
Antireq: MATH 1138, 1158, 1308, 1408
MATH 114A Algebra (For Arts and Science Students)F 3C,1T 0.5
Elementary Number Theory; number systems, mathematical induction, the 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, elemen-
tary 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.
Antireq: MATH 114, 134B, 144B
MATH 113A Calculus (For Arta and ScienceF 3C,2T 0.5
Students) : The derivative, differentiation, higher order derivatives, implicit functions, differentials, applications of the derivalive. 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 .
Course Desciiptions 16.103 "Mathematics
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 differen: © tial equations.
Prereq: MATH 113A
Not open to students in the Faculty of Mathematics
Antireq: MATH 110B, 115B, 1308, 1408
MATH 114 Algebra and Vector Geometry (For Engineering Students)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 1118, 1348, 144B
MATH 115A Calculus (For Co-op Physics and Chemistry)F 3C,2T 0.6
Real numbers, functions, trig functions. Limits. The derivative, differentiation.
‘higher order derivatives, implicit func-
tions, differentials, applications of the
derivative. The definite integral Antidifferentiation. Logarithms and exponential functions, hyperbolic and inverse hyper-
- bolic 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 andW,S 3C,2T 0.5
Chemistry) : 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 1108, 113B, 1308.
MATH 130A Calculus’F,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, indaterminate forms, Taylor's theorem, convergence of sequences and Series, power series.
Prereq: MATH 130A
Antireq: MATH 110B, 113B, 1158.
, 1408
Also offered at St. Jerome's College
in the Winter term.
MATH 134A AlgebraFLW 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 1118, 114, 144B Also offered at St. Jerome's College in the Winter term.
MATH 140A CatculusF 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 1408 is an advanced-level, enriched version of MATH 1308.
Prereq: MATH 140A (or permission of instructor)
Antireq: MATH 1108, 1138, 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 1445 WS 3C 05 Linear Algebra ‘1 : MATH 144B is an advanced-level, enriched version of MATH 1348.
Prereq: MATH 144A (or permission of instructor)
Antireq: MATH 1118, 114, 1348
“MATH 210 FW 3C 05
Calculus 2 (For Chemical Engineers) Partial differentiation, the gradient, multiple integrats with applications, line
_and surface integrals, divergence and
curl, theorems of Green and Stokes. Applications to physical problems.
Prereq: MATH 1108
Not open to students in the Faculty of Mathematics.
Antireq: MATH 212, 213B, 220B, 2308, 2408
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 2085.
Antireq: MATH 213A, 220A, 230A,\— 240A .
MATH 212 Advanced Calculus for ElectricalF,S> 3C,1T 0.5
Engineers 2 : 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, 2138, 220B, 230B, 2408
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 1138 or 1158, 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, cur, 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.
Antireq: MATH 210, 212, 220B, 2308, 2408
MATH 215 Differential Equations (For Chemistry Students)F,W SC 0.5
Complex numbers. Partial differentiation. Solution of ordinary differential equations with emphasis an special functions encountered in chemistry (Hermite and Legendre equations). Introduction to matrix algebra and eigenvalue problems.
Prereq: MATH 1138 or 115B, or equiv alent
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 7108, 1138, 115B, or equivalent .
Not open to students in the Faculty of Mathematics.
MATH 220A Advanced CaicuiusF 3C,1T 0.5
Differential calculus for functions of several variables. Prereq: MATH 1308 Coreg: MATH 1348 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 prod- — ucts.
Prereq: MATH 1348
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 1344, 224A
Antireq: MATH 2348, 2448
Not open to Honours Mathematics Students.
MATH 230A Advanced CalculusF,W,S soit 0.5
Differential calculus of functions of severdl variables; limits and continuity, partial derivatives, differentiability, chain tule, Taylor's formula, extreme values, mappings and Jacobians. Integral
Calculus of functions of several vari-
ables; muttiple integrals, iterated integrails, change of variables, apptications to area and volume calculations.
Prereq: MATH 1308
Coreq: MATH 1348.
Antireq: MATH 211, 213A, 220A, 240A
Also offered at St. Jerome's College in the Fall term.
MATH 230B Advanced CaloulusF,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 ordi-’ nary differential equations; first and second order linear equations, power series solutions, applications.
Prereq: MATH 230A
Antireq: MATH 210, 212, 2138, 2208, 2408
Also offered at St. Jerome’s + College in the Winter tarm.
MATH 234A Linear Algebra 2F,W,S 3C 0.5
Linear transformations, eigenvalues, characteristic polynomials, inner products. Prareq: MATH 1348 Antireq: MATH 224A, 244A Also offered at St. Jerome's College in the Fall tarm.
/
MATH 234B Abstract Algebra 1F,W,S 3C 0.5
Groups, fies and other topics in
abstract algebra.
Prereq: MATH 134A, 2344
Antireq: MATH 224B, 2448
Also offered at St. Jerome's College in the Winter term.
MATH 240A Advanced CalculusF,W 3C 0.5
MATH 240A is an advancedtevel, enriched version of MATH 230A.
Prereq: MATH 1408 (or permission of instructor)
Antireq: MATH 211, 213A, 220A, 230A
MATH 240B Advanced CalculusF,W,S 3C 0.5
MATH 2408 is an advanced-ievel, enriched version of MATH 2308.
Prereq: MATH 240A (or permission of ©
instructor) Antireq: MATH 210, 212, 213B, 2208, 2308
MATH 244A Linear Algebra 2F 3C 0.5
MATH 244A is an advanced-level, enriched version of MATH 234A. Prerag: MATH 144B (or permission of instructor) Antireq: MATH 224A, 234A
MATH 244B Abstract Algebra 1W,S 3C 0.5
MATH 2448 is an advanced-level, enriched version of MATH 2348. Prereq: MATH 1444/8 (or permission of instructor) ; Antireg: MATH 2248, 2348
MATH 322A Introduction to Res! AnalysisF 3C 0.5
Sequences and series, functions and continuity, Laplace transforms, Fourier series, applications.
Prereq: MATH 220A (MATH 2208 is recommended) ..
Antireq: PMATH 331, 351A.
Not open to Honours Mathematics students.
Course Descriptions 16.105 Mathematics
MATH 322B Introduction to Complex VariableW 3C 0.5
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 2208
Antireq: MATH 3928, PMATH 352
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 VariableW,S 3C 0.5
Theory : Complex numbers; continuity, differentiability, analyticity of functions: the , Cauchy-Riemann equations; solution of Lapiace’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 2308
Antireq: MATH 3228, PMATH 352
MATH 226 Elementary Differential Equa- tions
Not offered in 1986–87.