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.

is an introduction to differential Calculus including logarithmic, exponential and trigonometric functions.

Three hours of lecture per week and one and one-half hour laboratory period per week.

Prerequisite: Mathematics 1090 or a combination of placement test and high school Mathematics scores acceptable to the department.

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.

Prerequisite: Mathematics 1000 or 1081.

covers topics which include sets, logic, permutations, combinations, and elementary probability.

Three hours of lecture per week and a one and one-half hour laboratory period per week.

Prerequisite: A combination of placement test and high school mathematics scores acceptable to the department above, or Mathematics 103F.

covers topics which include elementary matrices, linear programming, elementary number theory, mathematical systems and geometry.

Three hours of lecture per week and a one and one-half hour laboratory period per week.

Prerequisite: A combination of placement test and high school mathematics scores acceptable to the department (See regulation 1) above), or Mathematics 103F.

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.

Three hours of lecture and a three hour laboratory period per week.

Prerequisite: A combination of placement test and high school Mathematics scores acceptable to the department or Mathematics 104F.

is a study of the differential calculus of functions of two variables, an introduction to convergence of infinite sequences and series. In addition to three lectures per week there will be a one and one-half hour problem lab.

Prerequisite: Mathematics 1001.

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.

Prerequisite: Mathematics 1000 or 6 credit hours in first year Mathematics courses.

includes the topics of real and complex vector spaces, basis, dimension, change of basis, eigenvectors, inner products, and diagonalization of Hermitian matrices.

Prerequisite: Mathematics 2050.

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.

Prerequisite: Mathematics 1001.

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.

Prerequisite: Mathematics 1001 or 2050.

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.

Prerequisite: Mathematics 1000 or 6 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.

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.

Prerequisite: Mathematics 1000 or 1081.

is proof techniques, structure of R, sequences, limits, continuity, uniform continuity, differentiation.

Three lecture hours and one laboratory hour per week.

Prerequisite: Mathematics 2000.

is 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: Mathematics 2000 and 2050.

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.

Prerequisite: Mathematics 2000.

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.

Prerequisite: Pure Mathematics 2320.

is classical Euclidean geometry of the triangle and circle. The inversion transformation, including the theorem of Feuerbach. Elliptic and hyperbolic geometries.

Prerequisite: Pure Mathematics 2320 or Mathematics 2051.

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.

Prerequisite: Pure Mathematics 2320.

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.

Prerequisite: Pure Mathematics 2320.

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.

One and a half hour tutorial period weekly.

Prerequisite: Mathematics 2000.