  # Course Descriptions for Mathematics

 MATH 3460 INTRODUCTION TO OPERATIONS RESEARCH 3-0-3

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.

 MATH 4060 FUNCTIONS OF COMPLEX VARIABLES 3-0-3

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.

 MATH 4360 TOPOLOGY 3-0-3

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

 MATH 4610 NUMERICAL ANALYSIS 3-0-3

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.

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