At most 9 credit hours in Mathematics will be given for courses completed from the following list subject to normal credit restrictions: Mathematics 1000, 1031, 1050, 1051, 1080, 1081, 1090, 1150, 1151.
102F, 103F and 104F
Mathematics Skills Program
are non-credit courses intended for those students who either have a weak background in mathematics or are returning to the subject after some years. The program enables students to master mathematical operations such as those involving whole numbers, fractions, decimals, percents, integers, exponents, linear equations, algebraic and rational expressions, formulas, graphs, systems of linear equations, basic trigonometry, exponents and radicals, and quadratics.
1000
Calculus I
is an introduction to differential Calculus including logarithmic, exponential and trigonometric functions.
CR: Mathematics 1081
LH: 1.5
PR: Mathematics 1090 or a combination of placement test and high school Mathematics scores acceptable to the Department
1001
Calculus II
is an introduction to integral Calculus with applications. In addition to three lectures per week there will be a one and one-half hour problem lab.
CR: the former Engineering 1411 and the former Engineering 2413
PR: Mathematics 1000 or Mathematics 1081
1050
Finite Mathematics I
covers topics which include sets, logic, permutations, combinations, and elementary probability.
CR: the former Mathematics 1150. With the exception of those already admitted at the time of registration in this course to a Bachelor of Education program that requires this course, students who already have obtained credit for 6 or more Mathematics credit hours numbered 2000 or above are not permitted to register for this course nor can they receive credit for it
LC: 4
PR: a combination of placement test and high school mathematics scores acceptable to the department , or Mathematics 103F
1051
Finite Mathematics II
covers topics which include elementary matrices, linear programming, elementary number theory, mathematical systems and geometry.
CR: the former Mathematics 1151. With the exception of those already admitted at the time of registration in this course to a Bachelor of Education program that requires this course, students who already have obtained credit for 6 or more Mathematics credit hours numbered 2000 or above are not permitted to register for this course nor can they receive credit for it.
LH: 1.5
PR: a combination of placement test and high school mathematics scores acceptable to the department , or Mathematics 103F
1090
Algebra and Trigonometry
(F and W)
provides students with the essential prerequisite elements for the study of an introductory course in calculus. Topics include algebra, functions and their graphs, exponential and logarithmic functions, trigonometry, polynomials, and rational functions.
CR: Mathematics 1000, Mathematics 1001, Mathematics 1080, or Mathematics 1081
LH: 3
PR: a combination of placement test and high school Mathematics scores acceptable to the department or Mathematics 104F
UL: credit will not be given for Mathematics 1090 if any of Mathematics 1000, Mathematics 1001, the former Mathematics 1080, or the former Mathematics 1081 have been completed
2000
Calculus III
is a study of the differential calculus of functions of two variables, an introduction to convergence of infinite sequences and series.
CR: the former Engineering 1411, the former Engineering 1412, the former Engineering 2412, the former Engineering 2413
LH: 1.5
PR: Mathematics 1001
2050
Linear Algebra I
includes the topics of Euclidean n-space, vector operations in 2- and 3-space, complex numbers, linear transformations on n-space, matrices, determinants, and systems of linear equations.
CR: the former Engineering 2402
PR: Mathematics 1000 or 6 credit hours in first year Mathematics courses
2051
Linear Algebra II
includes the topics of real and complex vector spaces, basis, dimension, change of basis, eigenvectors, inner products, and diagonalization of Hermitian matrices.
PR: Mathematics 2050
2090
Mathematics of Finance
covers the following topics: simple and compound interest and discount, forces of interest and discount, equations of value, annuities and perpetuities, amortization schedules and sinking funds, bonds and other securities, contingent payments.
PR: Mathematics 1001
2130
Technical Writing in Mathematics
is a project oriented course combining mathematical investigation and technical writing. By using computer programming, graphical and typesetting tools, students will explore mathematical concepts and will produce technical reports of professional quality. The latter will combine elements of writing and graphics to convey technical ideas in a clear and concise manner.
PR: Mathematics 1001 and (Computer Science 1510 or 1710 or 2710 or 2602 or permission of the Head of Department).
2320
Discrete Mathematics
are basic concepts of mathematical reasoning, sets and set operations, functions, relations including equivalence relations and partial orders as illustrated through the notions of congruence and divisibility of integers, mathematical induction, principles of counting, permutations, combinations and the Binomial Theorem.
CR: the former Computer Science 2740
2500
Statistics for Business and Arts Students
is descriptive statistics (including histograms, stem-and-leaf plots and box plots), elementary probability, discrete random variables, the binomial distribution, the normal distribution, sampling distribution, estimation and hypothesis testing including both one and two sample tests, paired comparisons, chi-square test, correlation and regression. Related applications.
CR: Statistics 2510, Statistics 2550, and the former Psychology 2900
LH: 1.5
PR: Mathematics 1000 or 6 credit hours in first year courses in Mathematics or registration in at least semester 3 of a Bachelor of Nursing program or permission of the Head of Department.
2550
Statistics for Life Science Students
is an introduction to basic statistics methods with an emphasis on applications to life sciences and, in particular, to biology. Material includes descriptive statistics, elementary probability, binomial distribution, normal distribution, sampling distribution, estimation and hypothesis testing (both one and two sample cases), chi-square test, one way analysis of variance, correlation and simple linear regression.
CR: Statistics 2500, Statistics 2510, Statistics 2550, and the former Psychology 2900. Statistical computer package will be used in the laboratory, but no prior computing experience is assumed.
LH: 1.5
OR: Statistical computer package will be used in the laboratory, but no prior computing experience is assumed
PR: Mathematics 1000 or Mathematics 1081
3000
Real Analysis I
(F and W)
is proof techniques, structure of R, sequences, limits, continuity, uniform continuity, differentiation.
CR: the former Mathematics 2001
LH: 1
PR: Mathematics 2000
3202
Vector Calculus
deals with functions of several variables. Lagrange multipliers, vector valued functions, directional derivatives, gradient, divergence, curl, transformations, Jacobians, inverse and implicit function theorems, multiple integration including change of variables using polar, cylindrical and spherical co-ordinates, Green’s theorem. Stokes’ theorem, divergence theorem, line integrals, arc length.
CR: Physics 3810
3260
Ordinary Differential Equations I
is direction fields, equations of first order and first degree, higher order linear equations, variation of parameters, methods of undetermined coefficients, Laplace transforms, systems of differential equations. Applications include vibratory motion, satellite and rocket motion, pursuit problems, population models and chemical kinetics.
CR: the former Engineering 3411
PR: Mathematics 2000
3320
Abstract Algebra
is an introduction to groups and group homomorphisms including cyclic groups, cosets, Lagrange's theorem, normal subgroups and quotient groups, introduction to rings and ring homomorphisms including ideals, prime and maximal ideals, quotient rings, integral domains and fields.
PR: Pure Mathematics 2320
3330
Euclidean Geometry
is classical Euclidean geometry of the triangle and circle. The inversion transformation, including the theorem of Feuerbach. Elliptic and hyperbolic geometries.
3340
Introductory Combinatorics
includes Topics such as distributions, the binomial and multinomial theorems, Stirling numbers, recurrence relations, generating functions and the inclusion-exclusion principle. Emphasis will be on applications.
PR: Pure Mathematics 2320
3370
Introductory Number Theory
is perfect numbers and primes, divisibility, Euclidean algorithm, greatest common divisors, primes and the unique factorization theorem, congruences, cryptography (secrecy systems), Euler-Fermat theorems, power residues, primitive roots, arithmetic functions, Diophantine equations, topics above in the setting of the Gaussian integers.
PR: Pure Mathematics 2320
3410
Mathematical Statistics I
is basic probability concepts, combinatorial analysis, conditional probability, independence, random variable, distribution function, mathematical expectation, Chebyshev's inequality, distribution of two random variables, binomial and related distributions, Poisson, gamma, normal, bivariate normal, t, and F distributions, transformations of variables including the moment-generating function approach.
OR: one and a half hour tutorial period weekly
PR: Mathematics 2000