Course Descriptions for Mathematics

 Strategies for learning mathematics, improving math study skills, and reducing math anxiety. Designed
for students who have difficulty in basic mathematics and algebra.

Prerequisite: placement according to COMPASS score
Real numbers , variable expressions , solving equations and inequalities, applications, graphing straight
lines, polynomials , factoring, and radical expressions.

Prerequisite: placement according to COMPASS score
Rational expressions , factoring, linear equations and inequalities, quadratic equations, word problems,
graphs of linear functions, rational exponents, and radicals.

Prerequisite: regular admission to the university or a passing grade on COMPASS.
Emphasis on processing information via models by conducting assumption validity, applicability and
suitability checks, executing appropriate calculations to do forecasts and arrive at logical decisions.
Will rely on examples to illustrate use of mathematics in real world situations. This course is an
alternative in Area A of the Core Curriculum and is not intended to supply sufficient algebraic
background for students who intend to take precalculus or the calculus sequences for mathematics and
science majors. MATH 1001 serves as a prerequisite only for MATH 2200 and MATH 2900.

Prerequisite: regular admission to the university or a passing grade on COMPASS
Placement recommendations: Some students who satisfy the prerequisites for MATH 1101 nonetheless
need to reinforce their mathematical skills in a learning support mathematics course before taking
MATH 1101. In particular, if any of the following is true, students should consider enrolling in MATH
0099: (a) the student did not complete two years of algebra and one year of geometry in high school;
(b) the student has not completed a mathematics course in the past five years; (c) the student made
below 430 on the mathematics portion of the SAT.
An introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques
to describe and explore real-world data and phenomena. Emphasis on the use of elementary functions
to investigate and analyze applied problems and questions, supported by the use of appropriate
technology, and on effective communication of quantitative concepts and results. MATH 1101 serves
as a prerequisite only for MATH 2200 and MATH 2900.

Prerequisite: regular admission to the university or a passing grade on COMPASS
Placement recommendations: Some students who satisfy the prerequisites for MATH 1111 nonetheless
need to reinforce their mathematical skills in a learning support mathematics course before taking
MATH 1111. In particular, if any of the following is true, students should consider enrolling in MATH
0099: (a) the student did not complete two years of algebra and one year of geometry in high school;
(b) the student has not completed a mathematics course in the past five years; (c) the student made
below 430 on the mathematics portion of the SAT.
Functional approach to algebra that incorporates the use of appropriate technology. Emphasis will
be placed on the study of functions and their graphs, inequalities, and linear, quadratic , rational,
polynomial, exponential, and logarithmic functions. Appropriate applications will be included.

Prerequisite: MATH 1111 or a grade of at least 550 on the mathematics portion of the SAT
Designed to prepare students for calculus, physics, and related technical subjects. Topics include an
intensive study of algebraic, trigonometric, logarithmic and exponential functions accompanied by
analytic geometry.

Prerequisite: MATH 1113 or a grade of at least 600 on the mathematics portion of the SAT
Functions and limits; the derivative and its applications, antidifferentiation; the definite integral and
applications; exponential and logarithmic functions.
 

Prerequisite: MATH 1113 or 600 or higher on the mathematics portion of the SAT. Admission to
the Honors Program or a minimum grade of B in MATH 1113, or permission of the department head.
Course content similar to MATH 1161, but a more rigorous treatment of differential and integral
calculus. Course will include oral or written student presentations of theoretical or applied projects.

Prerequisite: MATH 1111
Mathematical applications in economics and the social sciences. Linear functions and models; matrix
operations and applications ; inequalities and linear programming; exponential functions and log
functions; single and multivariate differentiation.

Prerequisite: MATH 1161
Techniques and applications of integration; transcendental functions; indeterminate forms; improper
integrals; parametric equations and polar coordinates; sequences and series; Taylor’s theorem.

Prerequisite: MATH 2072
Vectors, curves, and surfaces; partial differentiation; multiple integrals; curve integrals and surface
integrals; the theorems of Green and Stokes; the Divergence Theorem; introduction to differential
equations.

Prerequisite: MATH 2072
Linear systems and matrices; vector spaces, linear independence, rank of a matrix; linear transformations;
determinants; introduction to eigenvalues and eigenvectors; diagonalization; applications.

Prerequisite: MATH 1001 or MATH 1101 or MATH 1111
Measures of central tendency and dispersion; probability distributions; inferences concerning means
and proportions; goodness of fit; correlation; linear regression.

Prerequisite: MATH 1001 or MATH 1101 or MATH 1111
Designed to portray the history, philosophy, and aesthetics of mathematics, and to develop an
appreciation of the role of mathematics. Topics include logic, set theory, problem solving, number
systems, statistics, probability, geometry.

Prerequisite: MATH 2072
Elementary logic, set theory, functions and relations, methods of proof including induction, and
selected topics from major areas of mathematics.

Prerequisite: MATH 2083 and MATH 3000
Elementary properties of integers , groups , rings, and fields; mappings, homomorphisms, kernels,
quotient structures.

Prerequisite: MATH 2160 and MATH 3000
Abstract vector spaces, linear transformations, eigenvectors and eigenvalues, diagonalization, inner
product spaces , real quadratic forms.

Prerequisite: MATH 2200 and either CSCI 1050 or CSCI 1060
Data analyses including topics from elementary statistics as well as ANOVA, multiple regression and
nonparametric statistics using statistical software packages such as Minitab, SAS, or SPSS.

Corequisite: MATH 3211
Permutations and combinations; binomial coefficients; distributions of random variables; independence
and conditional probability; distributions of functions of random variables such as expectation,
variance and moment-generating functions; Central Limit Theorem; estimation; tests of statistical
hypotheses; conditional and marginal distributions; multivariate distributions.

Prerequisite: MATH 3000
An axiomatic approach to the fundamental ideas of Euclidean geometry, including congruence,
similarities, circles, elementary transformations and constructions. Examination of non-Euclidean
geometries.

Prerequisite: MATH 2072
First order linear and nonlinear equations; second and higher order linear equations; applications; the
Laplace transform; numerical solution with emphasis on computer-aided solution.

Prerequisite: MATH 3411
Series solutions; linear and nonlinear first order systems; applications; numerical methods; boundary
value problems ; introduction to Fourier series and partial differential equations.