51 courses in the 1979–80 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Listed without a description.
Listed without a description.
Topics chosen from set theory, permutations and combinations, binomial theorem, probability theory, systems of linear equations, vectors and matrices, mathematical induction.
N.B.: Not open to students in the Faculty of Mathematics.
Topics chosen from polynomial, rational, exponential and trigonometric functions. Elementary Analytic Geometry. Linear and quadratic systems of equations. Complex numbers. Polar co-ordinates. Fundamental concepts of calculus.
N.B.: Not open to students in the Faculty of Mathematics.
Note
Math 103/104 are specially designed courses for students enrolled in Arts programmes and are narmally not available to students with Year 5 Mathematics or equivalent. Year 4 Mathematics is recommended.
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 the Binomial, Poisson and Normal distributions, with applications to problems in Environmental Studies.
Prereq: None
N.B.: Not open to students in the Faculty of Mathematics.
352 aes
Algebraic functions and their graphs; exponential and logarithmic functions; elementary differential and integral calculus; applications and problems associated with kinesiology.
N.B.: Not open to students in the Faculty of Mathematics. This course is open to Kinesiology students who have not taken Grade 13 Calculus.
Content similar to that of Math106 except that it will be assumed that students have completed Grade 13 Calculus. Accordingly, there will be broader consideration of applications.
N.B.: Not open to students in the Faculty of Mathematics.
Functions and their inverses, limits, continuity and derivatives. The trigonometric functions, their inverses and derivatives. Applications to rate, max./min., curve sketching problems. Sequences, the definite integral, the fundamental theorem of calculus. Applications to area and volume problems.
Prereq: Year 5 Calculus
N.B.: Not open to students in the Faculty of Mathematics.
The logarithmic and exponential functions and their derivatives and applications. Elementary differential equations. Integration techniques. Improper integrais. Indeterminate forms. Arc length, average values, work, centroids and centres of mass, fluid force. Parametric and polar equations. Series of constants and tests for convergence/divergence. Power series. Taylor series. Operations on power series.
Prereq: Math 110a
N.B.: Not open to students in the Faculty of Mathematics.
The real and complex number systems, mathematical induction, the Binomial Theorem, monotone sequences and the Cauchy criteria, polynomial functions, theory of equations.
Prereq: Year 5 Algebra recommended but not required. N.B.: Not open to students in the Faculty of Mathematics.
Caurse Descriptions “ Mathematics
Determinants, vector and matrix notation, elementary solid geometry, linear transformations, eigenvalues and eigenvectors.
Prereq: Year 5 Algebra recommended but not required. N.B.: Not open to students in the Faculty of Mathematics.
The derivative, differentiation of algebraic and transcendental functions. Applications of the derivative. The integral, applications of integration, techniques of integration. Power series. Polar co-ordinates. Some elementary differential equations.
Prereq: Year 5 Calculus
N.B.: Not open to students in the Faculty of Mathematics.
Matrix algebra. Systems of linear equations. Determinants. Vectors in Euclidean space, lines, planes, spheres. Eigenvalues. Introduction to vector spaces. Prereq: Year 5 Algebra
N.B.: Not open to students in the Faculty of Mathematics.
Note Certain core Mathematics courses are offered at three different levels. The advanced level courses are intended for exceptionally gifted students in an Honours programme. A student pursuing an Honours degree may substitute the Advanced level equivalent course (s) for any required Honours level course (s). Similarly, a student pursuing a Pass or General degree may substitute the Honours level equivalent course (s) for any required General level course (s), unless the student has been required by the Standings & Promotions Committee to switch from an Honours programme to General or Pass. In this case, the student must enrol in General level courses. The following table sets out these equivalences.
Advanced Honours General Math 140a/b Math 130a/b Math 120a/b Math 144a/b Math 134a/b Math 124a/b Math 240a/b Math 230a/b Math 220a/b Math 241a/b Math 231a/b Math 221a/b P Math 341a/b Math 331a/b Math 321a/b
Techniques of integration, applications of the integral, indeterminate forms, Taylor's theorem, convergence of sequences and series, power series.
Prereq: Math 120a
N.B.: Math 120b is not open to Honours Mathematics students.
Euclidean geometry with emphasis on deductive reasoning and problem solving, number systems. Prereq: Year 5 Algebra
N.B.: Math 124a is not open to Honours Mathematics students.
Systems of equations, vector spaces, matrices, determinants, geometric applications.
Prereq: Year 5 Algebra (Math 124a is recommended, but not required)
N.B.: Math 124b is not open to Honours Mathematics students.
Course Descriptions 353 Mathematics
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: Year 5 Caiculus
N.B.: Credit will only be granted for one of Math 120a, 130a, 140a.
Also offered at St. Jerome’s College.
Techniques of integration, applications of the integral, indeterminate forms, Taylor’s theorem, convergence of sequences and series, power series.
Prereq: Math 130a or 80% in Math 120a
N.B.: Credit will only be granted for one of Math 120b, 130b, 140b.
Also offered at St. Jerome's College.
Basic set theory, cardinality, elementary number theory, number systems, polynomials.
Prereq: Year 5 Algebra
N.B.: Credit will only be granted for one of Math 124a, 134a, 144a.
Also offered at St. Jerome's College.
Systems of equations, vector spaces, matrices, determinants, geometric applications.
Prereq: Year 5 Algebra (Math 134a or 80% in Math 124a, is recommended, but not required)
N.B.: Credit will only be granted for one of Math 124b, 134b, 144b.
Also offered at St. Jerome's College.
Math 140a is an advanced-level, enriched version of Math130a. ‘ Prereq: Year 5 Caiculus and a Year 5 Math Average of at least 85% (or permission of instructor)
N.B.: Credit will only be granted for one of Math 120a, 130a, 140a.
Math 140b is an advanced-level, enriched version of Math 130b.
Prereq: Math 140a (or permission of instructor)
N.B.: Credit will only be granted for one of Math 120b, 130b, 140b.
Math 1444 F 3c 0.5
Algebra
Math 144a is an advanced-level, enriched version of Math 134a.
Prereq: Year 5 Algebra and a Year 5 Math Average of at least 85% (or permission of instructor)
N.B.: Credit will only be granted for one of Math 124a, 134a, 144a.
Math 144b is an advanced-level, enriched version of Math 134b.
Prereq: Math 134a
N.B.: Credit will only be granted for one of Math 124b, 134b, 144b.
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 110a/b
N.B.: Not open to students in the Faculty of Mathematics.
Differential calculus of functions of several variables. Differential equations. Multiple integrals.
Prereq: Math 110a/b-
N.B.: Not open to students in the Faculty of Mathematics.
Fourier series. Partial differential equations: separation of variables, wave equation, heat equation and Lapiace’s equation. Fourier integral. Properties of complex analytic functions. Complex integration. Prereq: Math 211
N.B.: Not open to students in the Faculty of Mathematics.
Infinite series. Partial Derivatives, chain rule, total differential, Taylor's theorem, extreme values. Multiple integrals. Vector calculus: gradient and directional derivative, divergence, curl, line integrals and path independence. Green's theorem, Stokes’ theorem and Gauss’ theorem.
Prereq: Math 113
N.B.: Not open to students in the Faculty of Mathematics.
Course Descriptions
Mathematics
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 113
N.B.: 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: Math 113 or 110a/b
N.B.: Not open to students in the Faculty of Mathematics.
Differential calculus for functions of several variables. Prereq: Math 120b
N.B.: Math 220a is not open to Honours Mathematics students.
Double integrals, triple integrals. Line integrals and Green's theorem. Ordinary differential equations. Prereq: Math 220a
N.B.: Math 220b is not open to Honours Mathematics students.
A selection of topics from: vector spaces, linear maps, matrix theory, inner products, bilinear and quadratic forms, and applications.
Prereq: Math 124a/b
N.B.: Math 221a is not open to Honours Mathematics Students.
Acontinuation of Math 221a.
Prereq: Math 221a
N.B.: Math 221b is not open to Honours Mathematics students.
An introduction to first order differential equations. Applications to growth, decay, reactions. Linear equations with constant coefficients. Systems of equations: vector and matrix methods. Solutions in series. Introduction to partial differential equations. Prereq: Math 113
N.B.: Not open to students in the Faculty of Mathematics.
Differential calcuius 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 or 80% in Math 120a/b
N.B.: Credit will only be granted for one of Math 220a, 230a, 240a.
Also offered at St. Jerome’s College.
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
N.B.: Credit will only be granted for one of Math 220b, 230b, 240b.
Also offered at St. Jerome's College.
Aselection of topics from: vector spaces, systems of linear equations, transformations, matrices, inner products, determinants, invariant subspaces, canonical forms, bilinear forms, quadratic forms, and applications. Prereq: Math 134a/b or 80% in Math 124a/b N.B.: Credit will only be granted for one of Math 221a, 231a, 241a. Also offered at St. Jerome's College
Acontinuation of Math 23ta.
Prereq: Math 231a
N.B.: Credit will only be granted for one of Math 221b, 231b, 241b.
Also offered at St. Jerome's College
Course Descriptions ; 355 Mathematics
Math 240a is an advanced-level, enriched version of Math 230a.
Prereq: Math 140b (or permission of instructor)
N.B.: Credit will only be granted for one of Math 220a, 230a, 240a.
Math 240b is an advanced-level, enriched version of Math 230b.
Prereq: Math 240a (or permission of instructor)
N.B.: Credit will only be granted for one of Math 220b, 230b, 240b.
Math 241a is an advanced-level, enriched version of Math 231a.
Prereq: Math 144b (or permission of instructor)
N.B.: Credit will only be granted for one of Math 221a, 231a, 241a.
Math 241b is an advanced-level, enriched version of Math 231b.
Prereq: Math 241a (or permission of instructor)
N.B.: Credit will only be granted for one of Math 221b, 231b, 241b..
Groups, monoids and Boolean algebras with selected applications.
Prereq: Math 124a/b (Math 221a desirable)
N.B.: Math 321a is not open to Honours Mathematics students.
2C,1T 05
Rings and fields with selected applications.
Prereq: Math 321a
N.B.: Math 3216 ts not open to Honours Mathematics students.
Elementary properties of the real number system including the compteteness property and its relation to ' the concepts of limit, continuity and differentiability; mean value theorem; Riemann integration and the integrability of continuous and monotonic functions; uniform convergence, uniform continuity and their relation to the above. The emphasis will be on applications.
Prereq: Math 220a (Math 220b desirable)
N.B.: Math 322a is not open to Honours Mathematics students.
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
N.B.: Math 322b is not open to Honours Mathematics students.
Groups, monoids and Boolean algebras with selected applications.
Prereq: Math 134a/b or 80% in Math 124a/b (Math 231a desirable)
N.B.: Credit will only be granted for one of Math 321a, 331a.
Math 331b FLW Modern Algebra Rings and fields with selected applications.
Prereq: Math 331a
N.B.: Credit will only be granted for one of Math 321b, 331b.
2C,1T 0.5
Real numbers. Sequences and series. Power series. Continuous functions. Convergence of functions. Fourier series. Normed linear spaces.
Prereq: Math 230a (Math 230b desirable)
N.B.: Credit will only be granted for one of Math 322a, 332a.
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
N.B.: Credit will only be granted for one of Math 322b, 332b.
Finite probabilistic schemes. Measures of uncertainty. Shannon's Entropy as a measure of uncertainty and expected information. Maximizing expected information. Applications to problem solving in coding, logics and linguistics.
Course Descriptions
Measures of expected conditional information. Maximizing expected conditional information. Applications to communication theory and programming. Basics in questionnaire theory.
Department of Applied Mathematics Course Descriptions