2003-2005 Catalog - University of Arkansas at Monticello

MATH 2243 Fundamental Geometric Concepts3 credits: 3 hours lecturePrerequisite: MATH 1003, MATH 1043NOTE: This course cannot be used to satisfy GeneralEducation requirements or for credit toward aMathematics major or minor.Topics in plane and solid geometry appropriate forelementary and middle school including measurement,construction, and the use of manipulatives andtechnology. Annual Spring offering.MATH 2255 Calculus I5 credits: 5 hours lecturePrerequisites: MATH 1175; or MATH 1043 and 1033Limits, derivatives, integrals, and applications of bothintegrals and limits.MATH 3233 History of Mathematics3 credits: 3 hours lecturePrerequisite: MATH 2255The history of mathematics as concerned with theorigins, philosophy, and development of themathematical sciences. The chronological developmentof mathematics from its use in primitive cultures to thepresent day. Spring offering in odd-numbered years.MATH 3403 Probability and Statistics3 credits: 3 hours lecturePrerequisite: MATH 2255Finite sample spaces, counting techniques, distributions,measures of variability, sampling theory, curvefitting, and regression analysis. Fall offering in oddnumberedyears.MATH 3413 Number Theory3 credits: 3 hours lecturePrerequisite: MATH 2255Basic properties of number system, congruences,divisibility, and prime numbers. Fall offering in evennumberedyears.MATH 3423 College Geometry3 credits: 3 hours lecturePrerequisite: MATH 2255Logic and Euclidean geometry. Required of allprospective secondary mathematics teachers. Falloffering in even-numbered years.MATH 3453 Abstract Algebra3 credits: 3 hours lecturePrerequisite: MATH 2255An introduction to the study of algebraic structuresincluding groups, rings, and fields. Spring offering ineven-numbered years.MATH 3463 Linear Algebra3 credits: 3 hours lecturePrerequisite: MATH 2255The algebra of finite dimensional vector spaces, lineartransformations, eigenvalues, and eigenvectors. Falloffering in odd-numbered years.MATH 3483 Mathematical Modeling3 credits: 3 hours lecturePrerequisites: MATH 3495 and a programming courseA study of selected topics which demonstrate theinteraction of mathematics with real-world problems.MATH 3495 Calculus II5 credits: 5 hours lecturePrerequisite: MATH 2255Sequences and series, vector analysis, and partialderivatives.MATH 3513 Discrete Mathematics3 credits: 3 hours lecturePrerequisites: MATH 2255; CS 2213 or 2253Algorithms, elements of graph theory, Boolean algebra,and combinatorics.MATH 3525 Differential Equations and Multi-Dimensional Calculus5 credits: 5 hours lecturePrerequisite: MATH 3495Multiple integrals, first-order differential equations,and systems of differential equations.MATH 3553 Number Systems3 credits: 3 hours lecturePrerequisites: MATH 1003, MATH 1043NOTE: This course may not be used to satisfy GeneralEducation requirements or for credit toward aMathematics major or minor.Systems of numeration, development of the realnumber system, analysis & development of algorithms,and an introduction to probability & statistics.MATH 4613 Advanced Differential Equations3 credits: 3 hours lecturePrerequisite: MATH 3525A continuation of MATH 3525. Topics includenonlinear systems, numerical methods, and LaplaceTransforms.MATH 465V Mathematics Reading and ResearchVariable creditPrerequisites: Junior or senior standing and approval ofthe Dean of the School of Mathematical and NaturalSciences.MATH 4673 Numerical Methods3 credits: 3 hours lecturePrerequisites: MATH 3495; CS 2213 or 2253Derivation and generation of numerical methods, errorestimates, convergence, and stability of numericaltechniques.MATH 4711, Mathematics Seminar1 credit: 1 hour lecturePrerequisite: Junior or senior mathematics major orminor.Students give oral and written presentations based onlaboratory and/or library research. This course may berepeated for a maximum of two credit hours.Course Descriptions191