UndergraduateCourseDescription
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MATH 4130 - AppliedAlgebra (3-0-3)
This course begins an investigation of how the theory of abstract algebra is applied to
solve non-theoretical problems. Topics are selected from applications in exact
computing, error correcting codes, block designs, crystallography, integer
programming, cryptography and combinatorics. Students will work both singly and in
groups on projects from the chosen topics.
Prerequisite: Agrade of C or better inMATH 3110.
MATH4231 - ModernGeometry (3-0-3)
This course begins a study of Euclidean and non-Euclidean geometries. Topics will
be explored through historical perspectives, formal geometric proofs, technology-
based investigations, andmodern applications.
Prerequisite: Agrade of C or better inMATH 3005.
MATH4250 –ElementaryNumber Theory (3-0-3)
An introduction to the mathematical treatment of concepts related to the integers.
Topics include divisibility, prime numbers, numerical functions, congruence classes
and Diophantine equations. Other topics such as rational and irrational numbers may
beaddressed.
(Prerequisite(s): Agrade of C or better inMATH 3005.
MATH 4303 - Partial Differential Equations (3-0-3)
This course investigates classical methods used in partial differential equations.
Topics include data propagating along characteristics, classification of systems of the
first order equation, the method of transforms and separation of variables, and typical
applications of thewave andheat equations.
Prerequisites: A grade of C or better inMATH 2503 andMATH3303.
MATH 4320 - Numerical Methods (3-0-3)
This course is an introduction to numerical techniques used in applied mathematics.
Main topics will be chosen from various modules, including, but not limited to: direct
and iterative methods for solutions of linear systems; numerical differentiation and
integration; interpolation and splines; initial value and boundary value problems for
ordinary differential equations; least squares problems; Monte Carlo methods; initial
andboundary value problems for partial differential equations.
Prerequisite(s): A grade of C or better in MATH 3005, MATH 3303, and CSCI 1301
andCSCI 1371.
MATH4350 -GraphTheory (3-0-3)
This course is a study of the fundamental concepts of graphs, trees, connectivity,
Eulerian and Hamiltonian graphs, planar graphs, graph colorings, network flows,
matching theory and applications.
Prerequisites: A grade of C or better in MATH 3005 or both [MATH 2020 and MATH
2140].
MATH4360 - Combinatorics (3-0-3)
This course is a study of combinatorial problem solving techniques. Topics are
selected from counting principles, generating functions, recurrence relations, principle
of inclusion and exclusion, pigeon-hole principle, Polya theory, combinatorial designs,
matroids, and Latin squares.
Prerequisites: A grade of C or better in MATH 3005 or a grade of C or better in both
MATH2020andMATH 2140.
MATH 4800 - SelectedTopics inMathematics (3-0-3)
Topics of interest inmathematics not covered in listed courses.
Prerequisite: Permission of department and a grade of C or better inMATH3005.
MATH4988 –DirectedUndergraduateResearch (0-1-1) (repeatable up to2 credit hours)
Students conduct individual research in preparation for their senior capstone project in
the B.S. inMathematics degree program. Research will be closely supervised by one
or more facultymembers.
Prerequisite: Permission of theDepartment Chair.
