
Course Descriptions The text of these course descriptions is copied from the Academic Catalog for 2015–16. 
— MATH 105 —
The study of real numbers and their operations and properties,
order of operations and exponents and roots, linear equations
and inequalities in one and two variables,
their systems and applications,
and introduction to functions and graphs.
— MATH 110 —
The study of real numbers and their operations and properties:
algebraic operations, linear function, linear equations, linear inequalities;
systems of equations; and introduction to functions and graphs.
— MATH 110L —
Study of algebraic operations, properties of the real number system,
data analysis, and problem solving skills
to complete a variety of assigned projects
involving linear modeling, linear programming, and regression.
— MATH 111 —
The study of polynomials, their operations and factoring,
operations with and simplifying rational expressions,
roots and radicals, quadratic equations and inequalities,
graphs of nonlinear functions and the conic sections;
exponents and logarithmic functions.
— MATH 121 —
The study of algebra and polynomial functions and operations
to include linear and nonlinear functions, data analysis,
basic statistics, and linear regression in applications setting.
— MATH 131 —
Students will use discrete dynamical systems to mathematically model and solve realworld problems.
Computer applications will be used extensively.
— MATH 132 —
College trigonometry, to include trigonometric identities
as well as the inverse trigonometric functions, parabolas,
ellipses and hyperbolas.
— MATH 134 —
Basics of probability, including counting, tree diagrams,
conditional probability, binomial and normal distributions,
mean, variance, standard deviation, and expected value.
— MATH 137 —
A complete treatement of plane trigonometry,
including the trigonometric functions, trigonometric identities,
and solutions to and applications of right and arbitrary triangles;
properties of functions, including their composition, inversion,
and piecewise definition;
techniques of graphing functions,
including polynomial, rational, algebraic, exponential, and logarithmic functions;
and other precalculus topics as time permits.
— MATH 140 —
Topics include limits, derivatives, applications of the derivative,
exponential and logarithmic functions, definite integrals,
and applications of the definite integral.
— MATH 170 —
Origin and development of the real numbers.
Emphasis on the precision of mathematical language
as well as computational procedures and algorithms involving whole numbers and integers.
The study of algebraic concepts (patterns, relations, and functions)
and the role of mathematical structures in the use of equalities, equations, and inequalities
are emphasized.
— MATH 201 —
The first of a threecourse sequence covering an introduction
to the analysis of realvalued functions of one variable. Topics include
the limit of a function, continuity, the derivative, and applications.
— MATH 201L —
Students work collaboratively in small groups on problems that emphasize the key ideas of calculus.
The workshop will also introduce students to technology that can automate and help visualize calculus concepts.
Assessed as S (Satisfactory) or U (Unsatisfactory).
— MATH 202 —
Continuation of Calculus I,
the course covers the integral, techniques of integration,
the exponential function, the logarithm functions,
and applications.
— MATH 203 —
Continuation of Calculus II, the course covers sequences,
infinite series, improper integrals, and applications.
— MATH 212 —
A study of programming to include input and output procedures,
arithmetic and logical operations, DO loops,
branching procedures, arrays, declaration statements,
and subroutines.
Application of these ideas by writing, running, and correcting programs.
— MATH 222 —
Provides students from diverse areas of science an introduction to software
currently available to solve problems in the sciences with the aid of computers.
Packages include, but are not limited to, Maple, Matlab, SAS, and SPSS.
Skills that pertain to the practical implementation of solutions to applied problems in the use of these software packages
will be presented.
Problems from the sciences that require elementary concepts from calculus, algebra, and statistics will be considered.
Appropriate presentation of solutions containing computational and graphical components
together with documentation will be emphasized.
— MATH 230 —
Propositional and predicate logic, methods of proof,
sequences and summations, recursion, combinatorial circuits,
algorithm analysis, set theory, counting techniques, Boolean algebras,
and other related topics.
— MATH 235 —
Topics include the development of the set of real numbers,
problem solving, elementary number theory, rational and irrational numbers,
decimals, percents, relations, and functions.
— MATH 270 —
Continuation of Math 170.
The study of rational numbers (fractional, decimal, and percentage forms),
of elementary concepts in probability,
of data analysis (collecting, organizing, and displaying data),
and of appropriate statistical methods
are the major components of the course
with additional emphasis on problem solving.
— MATH 301 —
General firstorder differential equations and secondorder linear equations
with applications. Introduction to power series solutions and numerical methods.
— MATH 304 —
Introduction to the algebra of finitedimensional vector spaces.
Topics covered include finitedimensional vector spaces,
matrices, systems of linear equations,
determinants, change of basis, eigenvalues, and eigenvectors.
— MATH 305 —
Introduction to the theoretical, computational and applied aspects of the subject.
Topics covered include the mathematical model of linear programming,
convex sets and linear inequalities,
the simplex method, duality, the revised simplex method,
and several of the many applications.
Computer solutions for several problems will be required.
— MATH 306 —
Vectors and vector calculus; the calculus of realvalued functions of several variables;
topics include partial derivatives, gradients,
extreme problems, multiple integrals,
iterated integrals, line integrals, and Green's Theorem, as time permits
— MATH 310 —
Introduction to the theory and practice of building and studying
mathematical models for various real world situations
that may be encountered in the physical, social, life,
and management sciences.
— MATH 311 —
This course is principally devoted to understanding and writing mathematical proofs
with correctness and style.
Elements of mathematical logic
such as Boolean logical operators, quantifiers, direct proof, proof by contrapositive,
proof by contradiction, and proof by induction, are presented.
Other material consists of topics such as elementary set theory, elementary number theory,
relations and equivalence relations, equivalence classes,
the concept of a function in its full generality, and the cardinality of sets.
— MATH 312 —
Descriptive statistics, elementary probability,
random variables and their distributions,
expected values and variances, sampling techniques,
estimation procedures, hypothesis testing, decision making,
and related topics from inferential statistics.
— MATH 315 —
Origins of mathematics and the development of
Egyptian, Babylonian, Pythagorean, Greek, Chinese and Indian,
and Arabic mathematics as well as
mathematics of the Middle Ages and modern mathematics.
The development of the calculus, geometry, abstract algebra,
analysis, mathematical notation, and basic mathematical concepts
will be emphasized as well as the personalities of mathematicians
and their contributions to the subject.
— MATH 317 —
Introduction to the elementary aspects of the subject
with topics including divisibility, prime numbers,
congruencies, Diophantine equations,
residues of power, quadratic residues, and number theoretic functions.
— MATH 318 —
In combinatorial theory the course will discuss the basic
counting principles, arrangements, distributions of objects, combinations,
and permutations. Considerable attention will be given to ordinary and
exponential generating functions. Also to be covered will be the standard
counting techniques of recurrence, inclusionexclusion, Burnside's Theorem,
and Polya's Enumeration Formula. In graph theory the course will cover
the basic theory of graphs. Also covered will be graph isomorphism, planar
graphs, Euler and Hamiltonian circuits, trees, and graph colorings.
— MATH 330 —
Indepth study of an area of interest in mathematics.
Different areas of study will be offered.
— MATH 332 —
Major topics covered include sums, recurrences, integer functions
(mod, floor, ceiling), elementary number theory,
binomial coefficients, discrete probability, and graphs.
Additional topics may be chosen from
generating functions (solving recurrences, convolutions),
special numbers (e.g. Stirling, Bernoulli, Fibonacci),
and asymptotics (O notation, manipulation, and summation formulas).
— MATH 345 —
Topics include the elements of plane geometry, up to and including congruence,
parallelism and similarity, areas and volume, ruler and compass constructions,
other geometries, and transformations. This course includes topics from the history
of mathematics.
— MATH 370 —
Continuation of Mathematics 270.
Intuitive development of geometric figures in plane and in space.
Consideration of congruence, parallelism, perpendicularity,
symmetry, and measurement.
— MATH 375 —
An apprenticeship offered in the freshman mathematics program.
Each student will work under careful supervision of a mathematics faculty member
who will assign outside reading as well as evaluate performance
in both oral and written examinations.
— MATH 405 —
Introduction to the terminology and basic properties of
algebraic structures, such as groups, rings, and fields.
This couse includes topics from the history of mathematics.
— MATH 407 —
At the intermediatelevel covers the following topics:
Cauchy sequences and the construction of real numbers,
sequences and series of real numbers, the real line as a metric space,
continuity and uniform continuity,
derivatives of realvalued functions of one real variable,
spaces of continuous functions, Lebesgue measure and the Lebesgue integral,
and Fourier series.
— MATH 409 —
Complex numbers and functions, derivatives and integrals
of complex functions, the Cauchy integral theorem and its consequences,
residue theory, and conformal mapping.
Additional topics as time permits.
— MATH 411 —
Introduction to Point Set Topology including discussion
of limit points, continuity, compactness, connectedness, metric spaces,
locally compact spaces, locally connected spaces,
and the Baire Category Theorem.
— MATH 420 —
Introduction to probability theory to include the topics
of probability spaces, conditional probability and independence,
combinatorial theory, random variables,
special discrete and continuous distributions, expected value,
jointly distributed random variables, order statistics,
moment generating functions and characteristic functions,
Law of Large Numbers, and the Central Limit Theorem.
— MATH 425 —
Nonlinear optimization topics including derivatives, partial derivatives,
onedimensional search techniques, multidimensional search techniques,
both unconstrained and constrained optimization techniques
including LaGrange Multipliers and Kuhn Tucker Conditions,
and specialized techniques. Emphasis is on optimization theory,
numerical algorithms with error analysis,
and solving applied problems.
— MATH 425 —
Techniques and types of errors
involved in computer applications to mathematical problems.
Topics include techniques for solving equations,
systems of equations, and problems in integral calculus.
Computer solutions for several problems will be required.
— MATH 430 —
Indepth study of an area of interest in mathematics.
Different areas of study will be offered.
— MATH 497 —
Open only to juniors or seniors with a GPA
of 3.0 or higher in their major courses.
A maximum of 3 semester hours may be earned.
All individual research projects are reviewed
by three faculty members from two different disciplines.
May be taken for credit (3 hours) towards the Honors degree by special arrangment.
— MATH 499 —
This course will include review and integration of the concepts
from the core courses required for the mathematics major
as well as an indepth exploration in some advanced mathematics area.
Requirements will include the completion an internal exam
and completion of a capstone mathematics project
sponsored by a faculty member and approved by the
Department of Mathematics.
— MATH 502 —
Accelerated training in methods of proof, Euclidean, nonEuclidean,
transformational, and finite geometries, plus constructions.
— MATH 508 —
Matrices, vector spaces, and linear transformations.
— MATH 509 —
Review of real and complex numbers, sets,
functions, induction, and well ordering.
Introduction to semigroups, groups, rings, homomorphism, and isomorphism.
Elementary theory of groups, elementary theory of rings.
As time permits, topics will include factor groups, quotient rings,
cyclic groups, finite groups, abelian groups, polynomial rings,
division rings, and fields.
— MATH 511 —
Study of propositional and predicate logic, set theory,
combinatorics and finite probability, relations, functions,
Boolean Algebras, simplification of circuits,
and other selected topics in discrete mathematics.
— MATH 515 —
General survey of the history of mathematics
with special emphasis on topics that are encountered
in high school or college (undergraduate) mathematics courses.
The course will cover the mathematics of ancient times,
beginning with the Egyptians, Babylonians, and Greeks,
and continue to the present.
Particular attention will be given to the contributions
of selected mathematicians.
— MATH 516 —
Full development of limits, derivatives, and integrals.
— MATH 518 —
Survey of areas of probability theory to include selected topics from sample spaces;
combinatorial theory; random variables and their distributions;
conditional probability; joint and marginal distributions;
expected values and variances; and the Central Limit Theorem.
Survey of descriptive and inferential statistics
to include selected topics from the use of tables, graphs, and formulas;
sampling techniques; estimation and confidence intervals;
hypothesis testing; decision making; and correlation and regression.
— MATH 520 —
Study of the topics covered in the AP Calculus AB course
and how a teacher should cover these topics.
There are essentially 6 main areas:
function theory, definitions of limits and derivatives,
differentiation techniques, applications of the derivative,
the definite integral and techniques of integration,
and applications of the integral.
— MATH 521 —
Study of topics covered in the AP Calculus BC course
and how a teacher should cover these topics.
In addition to all subject matter covered in Mathematics 520,
which will be reviewed during the course,
the following topics will be emphasized:
the calculus of vector functions and parametrically defined functions;
polar coordinates;
integration by parts, partial fractions and trigonometric substitutions;
L'Hopital's rule; improper integrals;
convergences of sequences of numbers and functions;
series of real numbers; power series;
Taylor polynomials and error approximation.
— MATH 530 —
A topic of interest to secondary mathematics teachers
will be logically and rigorously covered. 