2001-2003 Catalog - University of Arkansas at Monticello
2001-2003 Catalog - University of Arkansas at Monticello
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.