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, ne twork
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.
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.