MTH 007 Intermediate Algebra (0 credits)
A non-credit, pre-college course in intermediate algebra stressing
graphing and equation solving, algebraic manipulation, laws of exponents
functions, and logarithms.
Prerequisites: None
MTH 102 Mathematics For Elementary Teachers (3
credits)
A problem-solving oriented course for prospective elementary school
teachers. Topics will include some of the following: properties of
number systems, place value and scales of notation, elementary number
theory, geometry and measurement, statistics probability. Open only
to students in the Elementary Education program.
Prerequisites: Three units of high-school mathematics or MTH 007.
MTH 111 Introduction To Statistics I (4 credits)
A data-oriented, applied introduction to statistics; includes a two
hour per week lab. Topics include descriptive statistics, distributions,
hypothesis testing, confidence intervals and an introduction to multivariate
statistics.
Prerequisites: Three years of Regents level mathematics.
MTH 112 Introduction To Statistics II (3 credits)
This course is a continuation of MTH 111. Further methods of statistics
and their use in life will be covered. It includes: inference for
one and two population means, inference for two proportions and two
variances, inference for simple and multiple regression, categorical
data analysis, analysis of variance, nonparametric tests and logistic
regression. Minitab statistical program will be used throughout this
course.
Prerequisites: MTH 111 or equivalent.
MTH 120 Mathematics For Business Majors (3 credits)
This course includes the following topics: exponential functions
and models, mathematics of finance, linear systems and matrices, linear
programming, derivatives. There is particular emphasis on applied
problems.
Prerequisites: three units of high school mathematics or MTH 007.
MTH 122 Introduction To Optimization Methods II
(3 credits)
Elementary functions, exponential and logarithmic functions, continuity,
derivatives, max-min methods and applications. Primarily for students
in economics and accounting.
Prerequisites: three units of high school mathematics including intermediate
algebra.
MTH 123 Mathematics For Accounting Majors (3 credits)
An introduction to various contemporary applications of mathematics
drawn from the following topics: linear algebra, combinatorics, graph
theory, probability, modern algebra. The emphasis is on the interplay
between theory and application in mathematics.
Prerequisites: Four years of high school mathematics.
MTH 145-146 Calculus I, II (4 credits, 4 credits)
A study of differential and integral calculus of one variable and
applications.
Prerequisites: four units of high school mathematics or permission
of department. MTH 145 or its equivalent is a prerequisite for MTH
146.
MTH 151-152 Calculus I, II For Mathematics And
Physics Majors (4 credits, 4 credits)
Standard topics of calculus (derivatives, integrals, sequences and
series) taught with use of computers (MAPLE software). The emphasis
is on deep understanding of the basic concepts.
Prerequisites: four units of high school mathematics. MTH 151 is
a prerequisite for MTH 152.
MTH 202 Introduction To Contemporary Mathematics
(3 credits)
An introduction to topics in contemporary mathematics emphasizing
practicality as well as beauty. Topics include management science,
statistics, social choice, geometry and topology.
Prerequisites: ????
MTH 245 Calculus III (4 credits)
Multi-variate calculus with vectors. Line integrals and Green’s theorem.
Prerequisites: MTH 146 or MTH 152.
MTH 261 Linear Algebra (3 credits)
Systems of linear equations, matrix algebra, vectors and vector spaces,
linear transformations, inner product spaces, determinants, characteristic
values and vectors.
Prerequisites: MTH 145-146 or MTH 151-152.
MTH 303 Differential Equations (3 credits)
Linear differential operators and equations. Existence and uniqueness
of solutions: initial-value problems. The Wronskian, homogeneous equations
and non homogeneous equations: variation of parameters, the method
of undetermined coefficients. The Euler equation, the Laplace transform,
normal systems, eigen values and eigenvectors. Series solutions.
Prerequisites: MTH 245.
MTH 306 Topics In Number Theory (3 credits)
Elementary properties of integers, divisibility and related concepts,
methods of representing integers, functions of number theory, simple
diophantine equations, special sequences and series.
Prerequisites: three semesters of mathematics or permission of the
department chair.
MTH 307 Combinatorial Mathematics And Graph Theory
(3 credits)
Some classical puzzles of recreational mathematics; enumeration techniques;
combinatorial designs; graph theory and network flows.
Prerequisites: three semesters of mathematics or permission of the
department chair.
MTH 311 Introduction To Probability Theory (3
credits)
Basic probability theory, combinatorial analysis, independence and
dependence. Discrete and continuous distributions, random variables,
random vectors, multivariate distributions. Expectations and moment
generating functions. Binomial, normal, Poisson and related distributions.
Sums and sequences of random variables. Central limit theorem.
Prerequisites: MTH 245 or permission of department.
MTH 312 Mathematical Statistics (3 credits)
Distributions related to the normal. Estimation: consistency, unbiasedness,
mean square error, sufficiency, method of moments, maximum likelihood
estimates, confidence limits and intervals. Bayesian intervals. Tests
of hypotheses: tests of simple hypotheses, Neyman-Pearson lemma, Bayes
procedures, composite hypotheses, generalized likelihood ratio tests.
Nonparametric procedures. Simple linear regression.
Prerequisites: MTH 311.
MTH 313 Applied Statistics (3 credits)
Linear models and analysis of variance. Least squares theory. Regression
and correlation. Design of experiments. Some applications of regression
analysis in practical research.
Prerequisites: MTH 312.
MTH 332 Real Analysis (4 credits)
An introduction to techniques of mathematical proof, with emphasis
on the recognition and evaluation of problem structures common to
all areas of mathematics. Application of these techniques to a detailed
description of the Real Number system. Examination of the algebraic,
set-theoretic and topological structures of the Real Number system
(completeness, compactness, connectedness) and real sequences.
Prerequisites: MTH 245, MTH 261.
MTH 341 Algebraic Structures I (3 credits)
Fundamental structures of semigroups, groups, rings, integral domains
and fields and their morphisms.
Prerequisites: MTH 261 or permission of the department chair.
MTH 351 Linear And Mathematical Programming (3
credits)
The general linear programming problem. The simplex algorithm: theoretical
and computational aspects. Duality and relationships to sensitivity
analysis. Specialized algorithms. Extensions to some nonlinear programming
problems.
Prerequisites: MTH 261.
MTH 361 Modern Geometry (3 credits)
Topics from the foundations of geometry, non-Euclidean geometry,
transformation theory, dissection theory, convexity.
Prerequisites: three semesters of mathematics or permission of the
department chair.
MTH 370 Intermediate Problem Solving (3 credits)
A working introduction to general heuristic reasoning (including
specialization, generalization, analogy and induction) useful in solving
mathematical problems.
Prerequisites: MTH 245 or permission of the department chair.
MTH 390-399 Independent Study
A student who wishes to pursue an independent study project for academic
credit must submit, prior to registration, a proposed plan of study
that includes the topic to be studied and goal to be achieved, the
methodology to be followed, schedule of supervision, end product,
evaluation procedure and number of credits sought. The proposal must
be approved by the supervising faculty member, the department chair
and the dean of arts and sciences. It will be kept on file in the
assistant academic vice president’s office.
Prerequisites: permission of department chair and academic dean.
MTH 421 Numerical Analysis (3 credits)
The development of algorithms for and error analysis of: solutions
of equations, interpolation and approximation, numerical differentiation
and integration, numerical solutions of differential equations.
Prerequisites: MTH 245; MTH 261 also, knowledge of a high level programming
language or permission of the department chair.
MTH 431 Introduction To Complex Analysis (3 credits)
The complex number system. Differentiability and the Cauchy-Riemann
conditions. The exponential, trigonometric and logarithm functions.
Complex integration; the Cauchy integral theorem and its implications.
Consequences of the Cauchy integral formula. Taylor and Laurent series,
singularities.
Prerequisites: MTH 245 or permission of the department chair.
MTH 470-479 Topics In Mathematics (3 credits)
These courses will vary in content and will be offered irregularly
depending on student interest and faculty availability. The following
titles apply for MTH 470-475:
Prerequisites: ????
MTH 481 Topology (3 credits)
Topological spaces; separation and countability properties. Mappings
and continuity. Compactness and connectedness of various types. Product
and quotient spaces.
Prerequisites: MTH 332 or permission of the department chair.
MTH 490 Internship (3 credits)
A limited number of internships are available to students to provide
them with practical experience in the applications of mathematics
in business.
Prerequisites: Senior standing in mathematics and prior consultation
with department chair.
MTH 495 Senior Research Project (3 credits)
This course, exclusively for senior mathematics majors, involves
the completion and presentation of a research project in the student’s
area of concentration. Prior to registration for the course, a student
must submit a proposal and have it approved by the department chair.
Students may work in teams of two or three on projects; however, team
projects will require commensurably greater scope than individual
projects.
MTH 496-499 Research
An upper-class student who wishes to undertake a research project
for academic credit during a given semester must submit a research
proposal prior to registration and a research report at the end of
the semester. The proposal, indicating the number of credits sought,
must be approved by the research director, the department chair and
the academic dean. It will be kept on file in the academic dean’s
office.
