Mathematics 1000 - Calculus I.
An introduction to differential Calculus including logarithmic, exponential and trigonometric functions.- Prerequisite: Mathematics 1090 or a combination of placement test and high school Mathematics scores acceptable to the departmen
- Lab: 1.5 hour laboratory period per week
- Note: Effective Winter 2000, the credit restriction between Mathematics 1000 and Mathematics 1080 has been lifted. However, credit cannot be obtained for both Mathematics 1000 and Mathematics 1081
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Mathematics 1001 - Calculus II.
An introduction to integral Calculus with applications.- Prerequisite: Mathematics 1000 or 1081
- Lab: 1.5 hour laboratory period per week
- Note: Credit cannot be obtained for both M 1001 and either Engineering 1411 or Engineering 2413
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Mathematics 102F, 103F, and 104F - Mathematics Skills Program.
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. |
Mathematics 1050 - Finite Mathematics I.
Topics covered include sets, logic, permutations, combinations, and elementary probability.- Prerequisite: A combination of placement test and high school mathematics scores acceptable to the department above, or Mathematics 103F
- Lab: 1.5 hour laboratory period per week
- Note: 1) With the exception of those already admitted at the time of registration in this course to a B.Ed. program that requires this course, students who already have obtained credit for six or more Mathematics credit hours numbered 2000 or above are not permitted to register for this course nor can they receive credit for it.
2) Credit cannot be obtained for M 1050 and the former Mathematics 1150.
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Mathematics 1051 - Finite Mathematics II.
Topics covered include elementary matrices, linear programming, elementary number theory, mathematical systems and geometry.- Prerequisite: A combination of placement test and high school mathematics scores acceptable to the department (See regulation 1) above), or Mathematics 103F
- Lab: 1.5 hour laboratory period per week
- Note: 1) With the exception of those already admitted at the time of registration in this course to a B.Ed. program that requires this course, students who already have obtained credit for six or more Mathematics credit hours numbered 2000 or above are not permitted to register for this course nor can they receive credit for it.
2) Credit cannot be obtained for M 1051 and the former Mathematics 1151
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Mathematics 1090 - Algebra and Trigonometry.
This course 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.- Prerequisite: A combination of placement test and high school Mathematics scores acceptable to the department or Mathematics 104F
- Corequisite: 3 hour laboratory period per week
- Note: Students will not receive credit for Mathematics 1090 if they have previously received credit or are currently registered for M1000, M1001, M1080, or M1081
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Mathematics 2000 - Calculus III.
A study of the differential calculus of functions of two variables, an introduction to convergence of infinite sequences and series.- Prerequisite: M 1001
- Lab: 1.5 hour labratory per week
- Note: Credit cannot be obtained for both M 2000 and any of Engineering 1411, Engineering 1412, Engineering 2412, Engineering 2413
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Mathematics 2050 - Linear Algebra I.
Topics include Euclidean n-space, vector operations in R2 and R3, complex numbers, linear transformations on Rn, matrices, determinants, and systems of linear equations.- Prerequisite: M 1000 or 6 credit hours in first year Mathematics courses
- Note: Credit cannot be obtained for both M 2050 and Engineering 2402
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Mathematics 2051 - Linear Algebra II.
Topics include real and complex vector spaces, basis, dimension, change of basis, eigenvectors, inner products, and diagonalization of Hermitian matrices. |
Mathematics 2090 - Mathematics of Finance.
Topics covered are: 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. |
Mathematics 2320 - Discrete Mathematics.
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.- Prerequisite: Mathematics 1001 or Mathematics 2050
- Note: Credit cannot be obtained for both PM2320 and Computer Science 2740
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Mathematics 3000 - Real Analysis I.
Proof techniques, structure of R, sequences, limits, continuity, uniform continuity, differentiation.- Prerequisite: M 2000
- Lab: 1 hour labratory per week
- Note: Credit can be obtained for only one of M 3000 and the discontinued M 2001
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Mathematics 3202 - Vector Calculus.
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.- Prerequisite: M 2000 and M 2050
- Note: Credit cannot be obtained for both AM/PM3202 and Physics 3810
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Mathematics 3240 - Applied Graph Theory.
Algorithms and complexity, definitions and basic properties of graphs, Eulerian and Hamiltonian chains, shortest path problems, graph coloring, planarity, trees, network flows, emphasis on applications including scheduling problems, tournaments, and facilities design.- Prerequisite: Either M 2051 or PM 2320
- Note: Credit cannot be obtained for both AM/PM 3240 and Computer Science 3741
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Mathematics 3260 - Ordinary Differential Equations I.
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.- Prerequisite: M 2000
- Note: Credit cannot be obtained for both AM/PM 3260 and Engineering 3411
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Mathematics 3320 - Abstract Algebra.
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. |
Mathematics 3330 - Euclidean Geometry.
Classical Euclidean geometry of the triangle and circle. The inversion transformation, including the theorem of Feuerbach. Elliptic and hyperbolic geometries.- Prerequisite: PM 2320 or M 2051
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Mathematics 3340 - Introductory Combinatorics.
Topics include distributions, the binomial and multinomial theorems, Stirling numbers, recurrence relations, generating functions and the inclusion-exclusion principle. Emphasis will be on applications. |
Mathematics 3370 - Introductory Number Theory.
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. |
Mathematics 3410 - Mathematical Statistics I.
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.- Note: 1.5 hour tutorial period weekly
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Statistics 2500 - Statistics for Business and Arts Students.
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.- Prerequisite: M1000 or six credit hours in first year courses in Mathematics or registration in at least semester 3 of a B.N. program or permission of the head of department
- Lab: 1.5 hour labratory per week
- Note: Credit can be obtained for only one of ST2500, ST2510, ST2550, and Psychology 2900. Normally offered twice a year, including the fall. Statistical computer package will be use in the laboratory, but no prior computing experience is assumed
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Statistics 2550 - Statistics for Life Science Students.
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.- Prerequisite: M1000 or M1081
- Note: Credit can be obtained for only one of ST2500, ST2510, ST2550, and Psychology 2900. Statistical computer package will be used in the laboratory, but no prior computing experience is assumed
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