Corequisite: MATH 2160 and MATH 3211
Topics in operations research selected from linear programming , project
management, decision
analysis, queueing theory, simulation, dynamic programming, scheduling theory.
MATH 3480 OPTIMIZATION AND GRAPH THEORY |
3-0-3 |
Corequisite: MATH 2160 and MATH 3211
Topics in operations research selected from nonlinear programming, network
analysis, Markhov
chains, game theory, inventory theory.
MATH 3900 SPECIAL TOPICS IN APPLIED MATHEMATICS |
V-V-(1-3) |
Prerequisite: announced with the course
Special topics of current interest in upper-level applied mathematics.
MATH 3911 ALGORITHMS AND NUMBER SYSTEMS: A LABORATORY
APPROACH |
2-3-3
|
Prerequisite: either MATH 1161 or MATH 2900 and a passing
grade on Praxis I
A laboratory approach to the study of mathematics. Topics include problem
solving ; sets; functions;
numeration systems; and the integer, rational, and real number systems.
MATH 3912 GEOMETRY AND DATA ANALYSIS: A LABORATORY
APPROACH |
2-3-3
|
Prerequisite: MATH 3911 and admission to teacher education
A laboratory approach to the study of mathematics. Topics include geometry,
measurement,
probability, statistics, and motion geometry.
MATH 3932 MATHEMATICAL REASONING AND REPRESENTATION |
2-3-3 |
Prerequisite: MATH 1113 and MATH 3912
A laboratory approach to the study of mathematics. Topics include methods of
reasoning and proof;
algebraic structures ; conceptual consideration of functions; regression;
recursion; propor-tional
reasoning; analytic and transformational geometry; and rational , integer and
real number arithmetic.
MATH 4000 PUTNAM SEMINAR |
0-2-1 |
Prerequisite: MATH 2083
A variety of mathematical problems, considered with the aim of developing
problem-solving
techniques.
MATH 4011 ADVANCED CALCULUS I |
3-0-3 |
Prerequisite: MATH 2083 and MATH 3000
The real number system; sequences and series; limits of functions, the
Bolzano-Weierstrass theorem;
uniform continuity; the derivative.
MATH 4022 ADVANCED CALCULUS II |
3-0-3 |
Prerequisite: MATH 4011
The Riemann integral; metric spaces; compactness; sequences of functions;
uniform convergence.
Prerequisite: MATH 2083
Complex numbers; elementary functions and transformations; differentiation ;
analytic functions;
integration theory; series; residue theory; conformal mapping and applications.
MATH 4200 ACTUARIAL SCIENCE SEMINAR |
(1-3)-0-(1-3) |
Prerequisite: MATH 3222
Study of topics related to a career in actuarial science.
Prerequisite: MATH 2083 and MATH 3000
Topological spaces and homeomorphisms, separability, compactness, connectedness;
completeness;
metrizability; introduction to homotopy theory.
MATH 4400 OPERATIONS RESEARCH SEMINAR |
(1-3)-0-(1-3) |
Prerequisite: MATH
3460
Study of topics related to a career in operations research
Prerequisite: MATH 2072 and CSCI 1301
An introductory course in numerical analysis and computation. Topics include
computer arithmetic
and numerical error, systems of linear equations , iterative methods for
nonlinear equations, polynomial
interpolation, least squares approximation, and numerical integration.
Crosslisted as CSCI 5610U.
MATH 4900 SPECIAL TOPICS |
V-V-(1-3) |
Prerequisite: announced with the topic
Special topics of current interest in upper-level mathematics.
MATH 4910 HONORS PROJECT IN MATHEMATICS |
(1-3)-0-(1-3) |
rerequisite: permission of instructor
Open only to seniors. Independent reading or research in the mathematical
sciences, including a
presentation to an appropriate audience.
MATH 4961, -2, -3 INTERNSHIP IN MATHEMATICS |
0-6-3 |
Prerequisite: permission of instructor or department
Experience in a variety of mathematical applications suited to the educational
and professional
aspirations of the student, under the direction of faculty and appropriate
off-campus supervisory
personnel. Open to transient students only with the permission of the department
head.
MATH 4964 PRACTICUM IN TEACHING MATHEMATICS |
V-V-(1-3) |
Prerequisite: permission of instructor or department head
Students assigned to classroom teachers in grades 7-12 or special
teaching/practicum assignments under
the supervision of a teacher. May include Saturday school, summer school ,
Project PREP, assigned
tutorials. Grading is S/U, with one semester hour of credit equivalent to 60
practicum hours. Repeatable
to a total of three credit hours.
MATH 5160U THEORY OF NUMBERS |
3-0-3 |
Prerequisite: MATH 3000
A survey of topics from number theory to include divisibility and congruence,
diophantine equations,
distribution of prime numbers, famous unsolved problems, number-theoretic
functions and their
applications, theorems of Fermat and Euler.
MATH 5600U FOUNDATIONS OF MATHEMATICS |
3-0-3 |
Prerequisite: MATH 2072
Fundamental ideas of axiomatic mathematics, including sets, relations,
functions, algebraic structures,
with emphasis on techniques of writing proofs.
MATH 5700U HISTORY OF MATHEMATICS |
3-0-3 |
Prerequisite: MATH 3000
The historical development of mathematics from its empirical beginnings to its
present state.
MATH 5900U TOPICS IN MATHEMATICS |
V-V-(1-3) |
Prerequisite: permission of instructor or department
Special topics of current interest in upper-level mathematics.
MATH 5911U TOPICS IN MATHEMATICS FOR EDUCATORS |
3-0-3 |
Prerequisite: MATH 3911
Topics in mathematics designed for preservice and inservice elementary and
middle grades teachers.
STAT – Statistics
STAT 3211 - PROBABILITY AND STATISTICS APPLICATIONS I |
3-0-3 |
Prerequisite: MATH 2072
Data collection, organization and description; probability, random variables;
discrete and continuous
probability distributions; Central Limit Theorem; point and interval estimation;
tests of hypotheses;
simple linear regression and correlation.
STAT 3222 - PROBABILITY AND STATISTICS APPLICATIONS
II |
3-0-3 |
Prerequisite: STAT 3211 and MATH 2160
Sampling techniques, multiple linear regression, nonparametric statistics, and
MANOVA.
STAT 3231 - MATHEMATICAL STATISTICS I |
3-0-3 |
Prerequisite: MATH 2083
Probability, properties of discrete and random variables, joint and conditional
distributions, expectation,
and transformations.
STAT 3232 - MATHEMATICAL STATISTICS II |
3-0-3 |
Prerequisite: STAT 3231
Central limit theorem, point and interval estimation, sampling distributions,
sufficient statistics, and
hypothesis testing.
STAT 3240 - EXPERIMENTAL DESIGN |
3-0-3 |
Prerequisite: STAT 3211 or STAT 3231
Completely randomized and randomized block designs, incomplete block designs,
fixed, random and
mixed effects models, split- plot designs , nested experiments, analysis of
covariance, and factorial
experiments.