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 1984–85 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Notes
Course Descriptions
Introductory Notes
Certain core mathematics courses are offered at three different levels. The Advanced Honours level courses are intended for exceptionally gifted students in an Honours program. A student pursuing an Honours degree may substitute the corresponding Advanced Honours level course(s) for any required Honours ievel course(s). Similarly, a student pursuing a Pass or General degree may substitute the corresponding Honours level course(s) for any required General level course(s), unless the student has been required by the Standings & Promotions Committee to change from an Honours program to General or Pass. In this case, the student must enrol in General level courses. The following table sets out corresponding Advanced, Honours ana General Courses.
Advanced Honours Honours General MATH MATH MATH 140a/b 130a/b 130a/b MATH MATH MATH 144a/b 134a/b 134a/b MATH MATH MATH 240a/b 230a/b 220a/b MATH MATH MATH 244a/b 234a/b 224a/b PMATH PMATH MATH 344 334 324 PMATH PMATH MATH 351a 331 322a PMATH MATH MATH 352a 332b 3326 STAT STAT 230/231 220/221
Prerequisites involving these core courses will be given in terms of the lowest level acceptable (e.g. 'Prereq: MATH 230b’ implies that MATH 240b is also acceptable but MATH 220b is not).
MATH 010 Non-Credit Night Lab0.0-
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 on some 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 midterm tests in the above courses. This time slot is used only dufng the period when mid-term tests are scheduled.
MATH 103B Introductory Algebra (For students in Arts/Social Sciences)F 3C,1T 05 ,
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.
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. Grade 12 Mathematics is recommended.
Course Descriptions Computer Science 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.
Not open to students in the Faculty of Mathematics or to students who have credit in Grade 13 Calculus. Grade 12 Mathematics is strongly recommended.
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.
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.
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.
MATH 1105 WS 3C,2T 0.5 Calculus 1b (For Engineering Students) 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.
MATH 111A Algebra (For Arts and Science Students) Elementary Number Theory, numberF 3C,1T 0.5
systems, mathematical induction, the Binomial Theorem, complex numbers, polynomials.
Prereq: Grade 13 Algebra is recommended but not required
Not open to students in the Faculty of Mathematics.
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 recommended but not required
Nat open to students in the Faculty of Mathematics.
MATH 113A Caiculus (For Arts and Science Students)F 3C,2T 0.5
Differentiation and integration of algebraic and transcendental functions, techniques involved and applications to teal life problems.
Prereq: Grade 13 Calculus
Not open to students in the Faculty of Mathematics -
MATH 113B Calculus (For Arts and Science Students) A continuation of MATH 113A. FurtherW 3C,2T 0.5
techniques of integration. Infinite series, Parametric form and polar coordinates. Elementary differential equations. Applications to real life problems. Prereq: MATH 113A Not open to students in the Faculty of Mathematics
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.
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. .
MATH 1155 WS 3C,2T 05 Calculus (For Co-op Physics and Chemistry) Techniques of integration. Improper integrals. Indeterminate forms and L’Ho(circumflex)pital’s rule. infinite series. Parametric equations and polar coordinates. Partial derivatives. Prereq: MATH 115a Not open to students in the Faculty of Mathematics.
MATH 130A CalculusF,W,S 3C,1T 0.5
Functions and limits, differentiation of trigonometric, logarithmic and exponential functions, the chain ruie, Rolle’s theorem, the mean value theorem, extreme value theorem, applications of the derivative, the differential, the definite integral, fundamental theorem of caiculus.
Prereq: Grade 13 Calculus
Credit will be granted for only 1 of MATH 1308, 140a.
Also offered at St. Jerome's College in 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 arid series, power series.
Prereq: MATH 130a
Credit will be granted for only 1 of MATH 130b, 140b
Also offered at St. Jerome's College in Winter term.
"16.99
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 134a, 144a.
Also offered at St. Jerome's College in 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 134b, 144b.
Also offered at St. Jerome's College in Winter term.
MATH 1402 F 3C 05 Caiculus
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 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 130b, 140b.
MATH 144A AlgebraF 3C 0.5
MATH 1442 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 134a, 1442.
MATH 1445 WS 3C 05 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 134b, 144b.
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.
MATH 211 Advanced Caiculus for Electrical EngineersW,F 3C,1T 0.5
Fourier series; Ordinary differential equations; Laplace transform; applications to linear electrical systerns.
Prereq: MATH 110b
Not open to students in the Faculty of Mathematics
Cross-listed as EL E 2085.
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.
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 MATH 115b) and MATH 111b, or equivalent
Not open to students in the Faculty of Mathematics.
MATH 213B Calculus 2 (For Science Students)W,S 3C 0.5
Multiple integrals. Vector calculus: gradient, directional derivative, divergence, curt, 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.
MATH 215 Ditferential 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 equivalent Not open to students in the Faculty of Mathematics.
MATH 216 Differential Equations (For PhysicsF,S 3C 0.5
or Chemical Engineering students) 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: MATH 113b or 115b, or equivalent By
Not open to students in the Faculty of Mathematics.
MATH 220A Advanced CaiculusF 3C,1T 0.5
Differential calculus for functions of several variables.
Prereq: MATH 130b or equivalent
Coreq: MATH 134b
Credit will be granted for only 1 of MATH 2208, 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
Credit will be granted for only 1 of MATH 220, 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.
Course Descriptions Mathematics
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.
Nat 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 220a, 230a, 240a.
Also offered at Si. Jerome's College in Fall 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 220b, 230b, 240b.
Also offered at St. Jerome's College in 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 Fall term.
MATH 234B Abstract Algebra 1F,W,S 3C 0.5
Groups, fields and other topics in abstract algebra.
Prereq: MATH 13428, 234a
Credit will be granted for only 1 of MATH 224b, 234b, 244b.
Also offered at St. Jerome's College in Winter term.
Mathematics
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)
Credit will be granted for only 1 of MATH 220a, 230a, 240a.
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) Credit will be granted for only 1 of MATH 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 244a (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, functiors and continuity, Laplace transforms, Fourier series, applications.
Prereq: MATH 220a (MATH 220b is recommended)
Credit will be granted for only 1 of MATH 322a, 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 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. The emphasis will be on applications.
Prereq: MATH 220b
Credit will be granted for only 1 of MATH 322b, 332b, PMATH 352a.
Not open to Honours Mathematics students.
MATH 324 Abstract Algebra 2F,W 3C 0.5
Topics in abstract algebra: groups, tings, fietds and applications.
Prereq: MATH 224b
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 altied 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 352a.
MATH 226 Elementary Differential Equations
Not offered in 1984–85.