42 courses in the 1978–79 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Functions and limits, differentiation of algebraic and trigonometric functions, applications of the derivative, the differential, Riemann sums, the first and second fundamental theorems of the integral caiculus. Prereq: Year 5 Calculus
Note Math 120a is not open to Honours Mathematics students.
Differentiation and integration of exponential and logarithmic functions, techniques of integration, applications of integration, indeterminate forms, sequences, convergence of series, power series. - Prereq: Math 120a or Math 130a
Note Math 120b is not open to Honours Mathematics students.
Elementary number theory, mathematical induction, binomial theorem, monotone sequences, inequalities, complex numbers, elementary functions of a complex variable, polynomials and polynomial equations. Prereq: Year 5 Algebra -
Note
Math 124a is not open to Honours Mathematics students.
Determinants and matrices, vectors in two and three space, quadric surfaces, systems of equations, elementary linear transformations.
Prereq: Year 5 Algebra
3C,1T 05
Note
Math 124b is not open to Honours Mathematics students.
Functions and limits, the derivative, differentiation of algebraic and other functions, applications of the derivative, the integral, applications of the integral. Prereq: Year 5 Calculus
Also offered at St. Jerome’s College
Course Descriptions Mathematics
Techniques of integration, convergence of series, power series. Some elementary differential equations. Prereq: Math 130a or 80% in Math 120a
Also offered at St. Jerome’s College
Integers and diophantine equations, congruences, induction and the binomial theorem, rational and real numbers, inequalities. complex numbers, polynomial equations. ..
Prereq: Year 5 Algebra
Also offered at St. Jerome’s College
In 2 and 3 dimensions: vectors, lines and planes, linear transformations, matrices, determinants, circles and spheres, geometry of the triangle, quadric surfaces, inequalities.
Prereq: Year 5 Algebra (Math 134a desirable)
Also offered at St. Jerome's College
Differential calculus for functions of several variables. Prereq: Math 120b or Math 130b
30,1T 0.5
Note Math 220a is not open to Honours Mathematics students.
Double integrais, triple integrals. Line integrals and Green’s theorem. Ordinary differential equations. Prereq: Math 220a or Math 230a
Note 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 or Math 134a/b
Note Math 221a is not open to Honours Mathematics students.
A continuation of Math 221a. Prereq: Math 221a or Math 231a
Note Math 221 b is not open to Honours Mathematics students.
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 or 80% in Math 120a/b
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
Also offered at St. Jerome's College
A selection 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
Also offered at St. Jerome’s College
A continuation of Math 231a. Prereq: Math 231a
Also offered at St. Jerome’s College
Groups, monoids and Boolean algebras with selected applications.
Prereq: Math 124a/b or Math 134a/b (Math 227a or Math 231a desirable)
Note . Math 321a is not open to Honours Mathematics students.
Rings and fields with selected applications. Prereq: Math 321a or Math 331a
Course Descriptions ; 337 Mathematics ..
Note Math 321b is not open to Honours Mathematics students.
Elementary properties of the real number system including the completeness 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 or Math 230a (Math 220b or Math 230b desirable)
Note 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 or Math 230b
Note 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 desirabfe)
Rings and fields with selected applications. Prereq: Math 331a
Real numbers. Continuous functions. Functions of bounded variation. Riemann integral. Cesdro summability of series. Inequalities. Inner product and normed linear spaces. Orthonormal systems. Fourier series.
Prereq: Math 230a (Math 230b desirable)
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
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.
- Measures of expected conditional information. Maximizing expected conditional information. Applications to communication theory and programming. Basics in questionnaire theory.
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.
Polynomial, rational, exponential and trigonometric functions. Elementary Analytic Geometry. Linear and quadratic systems of equations. Complex numbers. Polar co-ordinates. Fundamental concepts of calculus.
Note
Math 103/104 are specially designed for students enrolled in Arts programmes and are normally not available to students with Grade 13 Mathematics or equivalent.
Quantitative analysis in environmental research. Elementary concepts in Algebra: notation, terminology, operations. Probability Theory. Permutations and Combinations, approaches to probability, dependentand independent events, conditional probability, distribution functions, including the Binomial, Poisson and Normal distributions, with applications to problems in Environmental Studies.
Algebraic functions and their graphs; exponential and logarithmic functions; elementary differential and integral calculus; applications and problems associated with kinesiology.
Note This course is open to Kinesiology students who have not taken Grade 13 Calculus.
Mathi07, F 3C 05
Mathematics (For Kinesiology Students)
Content similar to that of Math 106 except that it will be assumed that students have completed Grade 13 Calculus. Accordingly, there will be broader consideration of applications..
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 caiculus. Applications to area and volume problems.
The logarithmic and exponential functions and their derivatives and applications. Elementary differential equations. Integration techniques. Improper integrals. 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.
The real and complex number systems, Mathematical Induction, the Binomial Theorem, Monotone sequences and the Cauchy criteria, polynomial functions, Theory of equations.
and Eigenvectors.
Mathii3 Y ‘eT 1.0 Calculus (For Arts and Science Students) 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.
Matrix algebra. Systems of linear equations.
Determinants. Vectors in Euclidean space, lines, planes.
spheres. Eigenvalues. Introduction to vector spaces.
Course Descriptions Mathematics Service Courses
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 or equivalent
Differential calculus of functions of several variables. Differential equations. Multiple integrals.
Prereq: Math 110a/b or equivalent
Fourier series. Partial differentia! equations: separation of variables, wave equation, heat equation and Laplace's equation. Fourier integral. Properties of complex analytic functions. Complex integration.
Prereq: Math 211
Math2i3. oY 3C 1.0
Calculus (For Science Students)
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
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
Math2ié FS 3C 05
Differential Equations (For Physics 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 113
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