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2005-2007 Catalog - University of Arkansas at Monticello

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MATH 2255 Calculus I<br />

5 credits: 5 hours lecture<br />

Prerequisites: MATH 1175; or MATH 1043 and 1033<br />

Limits, deriv<strong>at</strong>ives, integrals, and applic<strong>at</strong>ions <strong>of</strong><br />

both integrals and limits.<br />

MATH 3233 History <strong>of</strong> M<strong>at</strong>hem<strong>at</strong>ics<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2255<br />

The history <strong>of</strong> m<strong>at</strong>hem<strong>at</strong>ics as concerned with the<br />

origins, philosophy, and development <strong>of</strong> the<br />

m<strong>at</strong>hem<strong>at</strong>ical sciences. The chronological<br />

development <strong>of</strong> m<strong>at</strong>hem<strong>at</strong>ics from its use in<br />

primitive cultures to the present day. Spring<br />

<strong>of</strong>fering in odd-numbered years.<br />

MATH 3403 Probability and St<strong>at</strong>istics<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2255<br />

Finite sample spaces, counting techniques,<br />

distributions, measures <strong>of</strong> variability, sampling<br />

theory, curve fitting, and regression analysis. Fall<br />

<strong>of</strong>fering in odd-numbered years.<br />

MATH 3413 Number Theory<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2255<br />

Basic properties <strong>of</strong> number system, congruences,<br />

divisibility, and prime numbers. Fall <strong>of</strong>fering in<br />

even-numbered years.<br />

MATH 3423 College Geometry<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2255<br />

Logic and Euclidean geometry. Required <strong>of</strong> all<br />

prospective secondary m<strong>at</strong>hem<strong>at</strong>ics teachers. Fall<br />

<strong>of</strong>fering in even-numbered years.<br />

MATH 3453 Abstract Algebra<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2255<br />

An introduction to the study <strong>of</strong> algebraic<br />

structures including groups, rings, and fields.<br />

Spring <strong>of</strong>fering in even-numbered years.<br />

MATH 3463 Linear Algebra<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2255<br />

The algebra <strong>of</strong> finite dimensional vector spaces,<br />

linear transform<strong>at</strong>ions, eigenvalues, and<br />

eigenvectors. Spring <strong>of</strong>fering in odd-numbered<br />

years.<br />

MATH 3483 M<strong>at</strong>hem<strong>at</strong>ical Modeling<br />

3 credits: 3 hours lecture<br />

Prerequisites: MATH 3495 and a programming<br />

course<br />

A study <strong>of</strong> selected topics which demonstr<strong>at</strong>e the<br />

interaction <strong>of</strong> m<strong>at</strong>hem<strong>at</strong>ics with real-world<br />

problems.<br />

MATH 3495 Calculus II<br />

5 credits: 5 hours lecture<br />

Prerequisite: MATH 2255<br />

Sequences and series, vector analysis, and partial<br />

deriv<strong>at</strong>ives.<br />

MATH 3513 Discrete M<strong>at</strong>hem<strong>at</strong>ics<br />

3 credits: 3 hours lecture<br />

Prerequisites: MATH 2255; CS 2213 or 2253<br />

Algorithms, elements <strong>of</strong> graph theory, Boolean<br />

algebra, and combin<strong>at</strong>orics.<br />

MATH 3525 Differential Equ<strong>at</strong>ions and<br />

Multi-Dimensional Calculus<br />

5 credits: 5 hours lecture<br />

Prerequisite: MATH 3495<br />

Multiple integrals, first-order differential<br />

equ<strong>at</strong>ions, and systems <strong>of</strong> differential equ<strong>at</strong>ions.<br />

MATH 3553 Number Systems<br />

3 credits: 3 hours lecture<br />

Prerequisites: MATH 1003, MATH 1043<br />

NOTE: This course may not be used to s<strong>at</strong>isfy<br />

General Educ<strong>at</strong>ion requirements or for credit<br />

toward a M<strong>at</strong>hem<strong>at</strong>ics major or minor.<br />

Development <strong>of</strong> mensur<strong>at</strong>ion formulas, systems <strong>of</strong><br />

measurement, and computer applic<strong>at</strong>ions.<br />

MATH 4613 Advanced Differential Equ<strong>at</strong>ions<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 3525<br />

A continu<strong>at</strong>ion <strong>of</strong> MATH 3525. Topics include<br />

nonlinear systems, numerical methods, and<br />

Laplace Transforms.<br />

MATH 465V M<strong>at</strong>hem<strong>at</strong>ics Reading and<br />

Research Variable credit<br />

Prerequisites: Junior or senior standing and<br />

approval <strong>of</strong> the Dean <strong>of</strong> the School <strong>of</strong> M<strong>at</strong>hem<strong>at</strong>ical<br />

and N<strong>at</strong>ural Sciences.<br />

MATH 4673 Numerical Methods<br />

3 credits: 3 hours lecture<br />

Prerequisites: MATH 3495; CS 2213 or 2253<br />

Deriv<strong>at</strong>ion and gener<strong>at</strong>ion <strong>of</strong> numerical methods,<br />

error estim<strong>at</strong>es, convergence, and stability <strong>of</strong><br />

numerical techniques.<br />

MATH 4711, M<strong>at</strong>hem<strong>at</strong>ics Seminar<br />

1 credit: 1 hour lecture<br />

Prerequisite: Junior or senior m<strong>at</strong>hem<strong>at</strong>ics major<br />

or minor.<br />

Students give oral and written present<strong>at</strong>ions based<br />

on labor<strong>at</strong>ory and/or library research. This course<br />

may be repe<strong>at</strong>ed for a maximum <strong>of</strong> two credit<br />

hours.<br />

MATH 479V Independent Study in M<strong>at</strong>hem<strong>at</strong>ics<br />

Variable credit<br />

Consult the Independent Study Courses<br />

subheading in the Academic Regul<strong>at</strong>ions section<br />

<strong>of</strong> this c<strong>at</strong>alog for prerequisites and description.<br />

MGMT Courses<br />

(Management)<br />

MGMT 3413 Office Management<br />

3 credits: 3 hours lecture<br />

Survey <strong>of</strong> current <strong>of</strong>fice management concepts<br />

with emphasis on managing human resources,<br />

administr<strong>at</strong>ive services, and administr<strong>at</strong>ive<br />

systems.<br />

www. uamont .edu 237

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