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2001-2003 Catalog - University of Arkansas at Monticello

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152<br />

<strong>Arkansas</strong>-<strong>Monticello</strong><br />

Course Descriptions<br />

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

3 credits: 3 hours lecture<br />

Co-requisite: MATH 2264<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 m<strong>at</strong>hem<strong>at</strong>ical<br />

sciences. The chronological development <strong>of</strong><br />

m<strong>at</strong>hem<strong>at</strong>ics from its use in primitive cultures to the<br />

present day. Spring <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 2254<br />

Finite sample spaces, counting techniques, distributions,<br />

measures <strong>of</strong> variability, sampling theory, curve fitting,<br />

and regression analysis. Fall <strong>of</strong>fering in odd-numbered<br />

years.<br />

MATH 3413 Number Theory<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2254<br />

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

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

years.<br />

MATH 3423 College Geometry<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2254<br />

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

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

in even-numbered years.<br />

MATH 3453 Abstract Algebra<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2254<br />

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

including groups, rings, and fields. Spring <strong>of</strong>fering in<br />

even-numbered years.<br />

MATH 3463 Linear Algebra<br />

3 credits: 3 hours lecture<br />

Prerequisite: MATH 2254<br />

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

transform<strong>at</strong>ions, eigenvalues, and eigenvectors. Fall<br />

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

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

3 credits: 3 hours lecture<br />

Prerequisites: MATH 2264 and a programming 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 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 2254; CS 2213 or 2253<br />

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

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

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

Dimensional Calculus<br />

5 credits: 5 hours lecture<br />

Prerequisite: MATH 3495<br />

Multiple integrals, first-order differential equ<strong>at</strong>ions, and<br />

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

MATH 3553 M<strong>at</strong>hem<strong>at</strong>ics for Elementary Teachers<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 General<br />

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

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. Annual fall<br />

<strong>of</strong>fering.<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 Laplace<br />

Transforms.<br />

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

Variable credit<br />

Prerequisites: Junior or senior standing and approval <strong>of</strong><br />

the Dean <strong>of</strong> the School <strong>of</strong> M<strong>at</strong>hem<strong>at</strong>ical and N<strong>at</strong>ural<br />

Sciences.<br />

MATH 4673 Numerical Methods<br />

3 credits: 3 hours lecture<br />

Prerequisites: MATH 2264; CS 2213 or 2253<br />

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

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

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 or minor.<br />

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

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

repe<strong>at</strong>ed for a maximum <strong>of</strong> two credit 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 subheading in<br />

the Academic Regul<strong>at</strong>ions section <strong>of</strong> this c<strong>at</strong>alog for<br />

prerequisites and description.

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