42 courses in the 1976–77 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Notes
Mathematics Courses
Renumbering of Mathematics Courses Math Courses In 1976, the Faculty of Mathematics renumbered its Old New course offerings in accordance with the departments Mathel 101 a AM 101 within the faculty. The abbreviated forms for the courses Mathel 101 b AM fll are as follows: Math 112 a cs 116 AM - Applied Mathematics Math 112 b cs 117 C&O - Combinatorics & Optimization Math 119 a, b Math 124a,b CS ~ Computer Science Math 120 a, b Math 120a,b Math ~ Mathematics Math 122 a cs 140 Mthel ~ Mathematics Elective Math 129 Math 134a,b PM - Pure Mathematics Math 130 Math 1[30a,6 Stat ~ Statistics Math 132 a cs 180 Listed below are the old and new course numbers. The new Math 132 b cs 150 Mathematics numbering system has been incorporated Math 201 a AM 230 only in the Mathematics program section(Chapter 12). All Math 201 b AM 240 other sections which show reference to Mathematics Math 217 Math 220a,b courses have used the old-numbering system. The new Math 219 Math 221 a,b . numbering will be reflected in ail sections of succeeding Math 223 a Stat 220 calendars. Math 223 b Stat 221 ; Math 225 a Stat 270 Service Courses Math 228 PMath 230
MATH 229Math 231 a,b Old New Math 233 Stat 230, 231 Math 12 Math 110 Math 234 a AM ~ 260 Math 21 Math 114 Math 234 b AM 270
Math 22 Math 210 Math 235 a Stat 273 Math 25 Math 211 Math 235 b Stat 284 Math 31 Math 215, 216 Math 236 Math 226 Math 32 cs 210 Math 237 Math 230 a,b Math 35 Math 212 Math 239 a, b C&O 239 a,b Math 44 Math 414 Math 240 a cs 210 Math 52 Stat 210 Math 240 b cs 240 Math 73a cs 112 Math 300 a, b C&O 330a,b Math 73b cs 113 Math 301 a AM 330 Math 73¢ cS 114 Math 301 b AM 340 Math 73d cs 115 Math 307 C&O 337 Math 81 Math 101 a,b Math 312 a, b Math 322 a,b Math 82 Math 102 Math 314 a cS 370 Math 83 Math 103 Math 314 b CS 371 Math 84 Math 104 Math 319 Math 321 Math 85 Math 105 Math 320 a cS 330 Math 160 Math 100 Math 320 b cs 331 Math 122 a CS 118 Math 329 Math 331 Math 131 a Math lila Math 330 a PMath 363 Math 131 a ' Math tila Math 330 b PMath 362 Math 131 b Math 111b Math 330 c PMath 361 Math 243 Stat 204, 205 Math 332 a, b Math 332 a,b Math 253 a Stat 202 Math 334 a cs 472 Math 323 a Stat 300 Math 334 b CS 474 Math 450 AM 405 Math 335 a Stat 373 Math 515 Stat 500 Math 335 b Stat 383 Math 122 a cs 118 Math 336 a Stat 374 Math 336 b Stat 384 Math 338 a Stat 350 Math 338 b Stat 351 Math 339 a Stat 340 Math 339 b Stat 341
Math 340 b cs 342 Math 445 a AM 466 Math 341 PMath 341 Math 445 b AM 476 Math 342 PMath 351 Math 446 a C&O 446a Math 343 PMath 352 Math 446 b C&O 446b Math 344 a PMath 367 Math 447 AM 486 Math 349 a Stat 331 Math 448 PMath 465, AM 482 Math 349 b Stat 442 Math 449 a Stat 430 Math 351 a, b C&O 35la,b Math 449 b Stat 431 Math 352 a, b C&O 352a,b Math 451 a C&O 4Sla Math 353 a C&O’ 353 a Math 451 b C&O 451b Math 360 a AM 362 Math 452 a C&O 452a Math 360 b AM = 372 Math 452 b C&O 452b Math 361 a AM 382 Math 453 a C&O 4S53a Math 361 b AM = 395 Math 454 a C&O 454a Math 362 a AM — 365 ; Math 454 b C&O 454b Math 362 b AM 371 Math 455 a C&O 455a Math 363 AM 361 Math 455 b C&O 455b Math 371 a cS 369 Math 456 a C&O 456a Math 372 b CS 360 Math 456 b C&O 456b Math 380 a PMath 380 a Math 457 a C&O 457 a Math 380 b PMath 380 b Math 457 a C&O 457 a Math 401 a AM 430 Math 457 b C&O 457b Math 401 b AM 440 Math 458 a C&O 458a Math 406 PMath 443 Math 458 b C&O 458b Math 407 PMath 464 Math 459 a C&O 459 a Math 408 PMath 432 Math 459 b C&O 459b Math 409 PMath 462 Math 460 a C&O 460a Math 410 a PMath 445 a Math 460 b C&O 460b Math 410 b PMath 445 b Math 461 a Stat 476 Math 411 a PMath 446 a Math 461 b Stat 480 Math 411 b PMath 446 b Math 462 a AM = 462 Math 412 a PMath 447 a Math 462 b AM 472 Math 412 b PMath 447 b Math 463 AM 488 Math 413 AM 461 Math 464 a AM = 468 Math 417 a C&O 437a Math 464 b AM 478 Math 417 b C&O 437b Math 466 a Stat 440 Math 418 a C&O 438 a Math 466 b Stat 466b Math 418 b C&O 438b Math 467 a Stat 454 Math 425 PMath 441 Math 467 b Stat 455 Math 426 PMath 467 Math 467 c Stat 332 Math 428 PMath 444 Math 469 a Stat 444 Math 429 PMath 466, C&O 439 Math 469 b Stat 445 Math 430 PMath 461, C&O 430; Math 470 a CS 476 Math 432 PMath 452 Math 470 b CS 478 Math 433 PMath 451 Math 471 a cs 450 Math 434 AM 481 Math 472 a cs 466 Math 435 a Stat AT4 Math 472 b cs 464 Math 435 b Stat 486 Math 472 c cS 462 Math 436 PMath 430 Math 472 d cs 468 Math 437 a Stat 475 Math 474 a cS 446 Math 437 b Stat 485 Math 474 b cs 454 Math 438 a Stat 450 : Math 474 ¢ CS 482 Math 438 b Stat 45] Math 474 d CS 484 Math 439 a Stat 452 Math 479 cs 498 Math 439 b Stat 453 Math 479 c CS 486 Math 441 AM 465 Math 480 PMath 470 Math 442 AM 473 Math 520 Stat 520 Math 443 AM 485
Math 444 AM = 495
Mathematics Undergraduate
Note Course descriptions are given under the new course numbers introduced in 1976.
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 calculus.
Differentiation and integration of exponential and logarithmic functions, techniques of integration, applications of integration, indeterminate forms, sequences, convergence of series, power series. 3 hours lectures, 1 hour tutorial
Functions and limits, the derivative, differentiation of algebraic and other functions, applications of the derivative, the integral, applications of the integral.
Integers and diophantine equations, congruences, induction and the binomial theorem, rational and real numbers, inequalities, complex numbers, polynomial equations. i
In 2 and 3 dimensions: vectors, lines and planes, linear transformations, matrices, determinants, circles and spheres, geometry of the triangle, quadric surfaces, inequalities.
An introduction to first order differential equations. Applications to growth, decay, reactions. Linear equations with constant coefficients. Systems of equations; vector and matric methods. Solutions in series. Introduction to partial differential equations.
2 hours lectures; two terms
Note M226 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.
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.
A selection of topics from: vector spaces, systems of linear equations, transformations, matrices, inner products, determinants, invariant subspaces, canonical forms, bilinear forms, quadric forms, and applications.
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 and power series; the residue calculus, and applications. The emphasis will be on applications.
MATH 322BAn 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.
Real Variables. Real numbers. Continuous functions. Functions of bounded variation. Riemann integral. Cesaro summability of series. Inequalities. Inner product and normed linear spaces. Orthonormal systems.
MATH 332BAn Introduction To Complex Variable Theory
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.
MATH 100Fundamental Concepts of Modern Mathematics
A course for non-mathematicians to provide some insight into the many aspects of modern mathematics. The ‘*Human interest”’ point of view will be stressed in order to reveal mathematics as an endeavour holding a strong place in man’s culture. Emphasis will be on twentieth century ideas. To integrate the traditional with the modern, material will be organized in a conceptual manner.
Development of number systems: Natural to real; properties and operations therein. Analysis of polynomial, linear, rational, exponential, and trigonometric functions and their graphs.
Measurement and relationships of geometric figures in 2 and 3 dimensions. Infinite series, the limit concept, introduction to calculus including the derivative and its applications to graph sketching.
2 hours lectures, Winter term.
Note
Math 101a, 101b are specially designed for students enrolled in General Arts programmes and are normally not available to students with Grade 13 Mathematics or equivalent.
Properties of real numbers including inequalities and absolute value. Systems of equations in two and three variables including linear, quadratic, and cubic equations. Complex numbers and polar representation. Exponents. Permutations and combinations. The Binomial Theorem. Sequences and series.
This course is intended for students in the Faculty of Arts. Set Theory, Permutations and Combinations, Vectors and Matrices, Probability Theory, Solution of Linear Equations, Game Theory, Linear Programming.
A special course designed for students in Psychology and related subjects. Polynomial, rational, exponential and trigonometric functions. Elementary analytic geometry. Polar co-ordinates. Fundamental concepts in the Calculus. Linear and quadratic systems of equations. Vectors, complex numbers. Mathematical Induction, Permutations and combinations, the Binomial theorem.
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.
Differential and integral calculus of functions of one real variable. Transcendental functions. Integration techniques. Applications to rate, max./min., area, volume, moment, fluid pressure and work problems. Parametric and polar equations. Series of constants; power series; Taylor and Maclaurin series.
The real and complex number system, Mathematical Induction, the Binomial Theorem, Monotone sequences and the Cauchy criterion, polynomial functions, Theory of equations.
Complex numbers. Matrix algebra. Systems of linear equations. Vectors in Euclidean space, lines, planes, hyperplanes, spheres. Determinants. Subspaces of cartesian space and matrices. Linear transformations, eigenvalue problems. Linear programming.
3 hours lectures, | hour problems.
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334 : Course Descriptions Mathematics Service Courses
Partical differentiation, the gradient, multiple integrals with applications, line and surface integrals, divergence and curl, theorems of Green and Stokes. Applications to physical problems.
Standard methods of solution. Applications to physical engineering problems. Linear equations with constant coefficients. Systems of differential equations. Solutions of differential equations by the Laplace Transformation. 3 hours lectures.