Mathematics

**Mathematics - MATH**

**0901 - Percents &
Proportions - 1 credit hour**

Builds an understanding of the definition of percents and
the use of proportion in problem solving.
*Grading:* Credit/No Credit.
*Course Rotation:* All Semesters.

**0903 - Basic
Mathematics - 3 credit hours**

A basic arithmetic course, it is a prerequisite to
Elementary Algebra (MA 0913) for students who have not mastered
middle school mathematics. Course content includes: whole numbers
and their operations; fractions and decimals; ratio and proportion;
percentages; signed numbers; basic geometry; and data
interpretation. This course is a prerequisite for MATH 0941 and
MATH 0913. *Grading:* Credit/No
Credit. *Course Rotation: * As needed.

**0911 - Variables &
Equations - 1 credit hour**

Builds an understanding of equations as conditions and the
use of variables to generalize. We will work extensively with
identifying conditions that may be represented numerically and with
solving linear equations. *Grading:*
Credit/No Credit. *Course Rotation:* All
Semesters.

**0913 - Elementary Algebra - 3
credit hours**

A competency-based course, for students who have not had
high school Algebra I or whose algebraic skills are weak. Course
content includes: a review of signed numbers; a comprehensive study
of real numbers; solving linear equations and inequalities;
introduction to exponents; introduction to polynomials; factoring;
and rational expressions. This course is a prerequisite for MATH
0971 and MATH 0923. *Prerequisite*: MATH
0903 *or* placement.
*Grading:* Credit/No Credit.
*Course Rotation: * As needed.

**0921 - Charts - 1 credit
hour**

Builds an understanding of reading and presenting
graphical information. *Grading:* Credit/No
Credit. *Course Rotation:* All Semesters.

**0923 - Intermediate
Algebra - 3 credit hours**

An algebra course whose content parallels content commonly
found in a second-year high school algebra course, namely high
school Algebra II. For students who have had high school Algebra I,
but haven't had high school Algebra II or whose algebraic skills at
that level are weak. Course content includes: an introduction to
graphing; graphing linear equations and inequalities; solving
linear systems; rational expressions; rational exponents and
radicals; quadratic equations, and an introduction to functions and
their graphs. This course is a prerequisite for MATH 1013 and MATH
1113. *Prerequisite*: MATH 0961
*or* MATH 0913 *or*
placement. *Grading:* Credit/No
Credit. *Course Rotation: * As
needed.

**1003 - Data Models - 3
credit hours**

Mathematical models are developed and utilized for data
analysis and decision making. Data sets and problems are taken from
a wide array of disciplines. The integration of Mathematics
and Technology is emphasized. Mathematical topics include: the need
for rigor; Cartesian coordinate systems and their use in
geographical information systems, density plots, discriminant
analysis and contour plots; time series data; dynamical systems;
and modeling with straight lines. *Notes: This course satisfies
the General Education Mathematics requirement. This course is
a prerequisite for MATH 1013.*
*Prerequisite*: placement.
*Course Rotation:* All Semesters.

**1013 - Functions and Algebra - 3
credit hours**

Content familiarizes students with standard mathematics
functions. These include polynomial, rational, exponential,
logarithmic and trigonometric functions. The course uses a
data modeling approach to introduce and to utilize the
functions. There is a larger emphasis on incorporating
technology and a smaller emphasis on algebraic manipulation of
expressions. This course satisfies the General Education
Mathematics requirement. *Notes:* *This course is a
prerequisite for MATH 1124 Precalculus, MATH 2303 Calculus for
Business and Social Sciences and CIS/MATH/PHYS 2713. Credit will
not be given for both MATH 1013 and MATH 1113.*
*Prerequisite*: MATH 1003
*or* placement. *Course
Rotation:* All Semesters.

**1113 - College Algebra - 3
credit hours**

Content is an extension of content commonly found in
second-year high school algebra courses. It is a prerequisite for
most other college-level mathematics courses. Course content
includes: functions and their graphs, nonlinear equations and
inequalities, conic sections, matrices and determinants. *Notes:
This course satisfies the General Education Mathematics
requirement. This course is a prerequisite for MATH 1124
Precalculus and MATH 2303 Calculus for Business and Social
Sciences. Credit will not be given for both MATH 1013 and MATH
1113.* *Prerequisite*: MATH 0991
*or* MATH 0923 *or*
placement. *Course rotation*: As
needed.

**1124 - Precalculus - 4
credit hours**

Explores algebraic, polynomial, exponential, logarithmic
and trigonometric functions; and their inverses, graphs, matrices,
vectors, conics, and applications. A graphics calculator is used.
*Note: This course satisfies the General Education Mathematics
requirement. This course is a prerequisite for MATH 2315
Calculus I and MATH 2503 Discrete Math.
***Prerequisite**: MATH 1013
*or* placement. *Course
Rotation:* All semesters.

**2003 - Intersections - 3
credit hours**

Introduction to topics with varying content. It
will normally be team taught with a faculty member from a
discipline other than mathematics. The course contains a
large writing component. It may be repeated for credit as
long as the topic is different from any for which the student has
previously obtained credit. *Note: This course may satisfy
a portion of the electives in depth for general
education.* *Prerequisite*:
Successful completion of General Education Mathematics requirement.
*Course Rotation:* As needed.

**2011 - Graphing
Calculators - 1 credit hour**

Investigates how to use the
many features of a graphing calculator to solve problems of a
quantitative nature. This course may satisfy a portion of the
electives in depth for general education.
*Prerequisite*: Successful completion of
General Education Mathematics requirement. *Course
Rotation:* As needed.

**2021 - Standardized
Tests - 1 credit hour**

Provides a review for the quantitative portions of
the various standardized tests used for entrance into graduate and
professional schools. This course may satisfy a portion of the
electives in depth for general education.
*Prerequisite*: Successful completion of
General Education Mathematics requirement. *Course
Rotation:* As needed.

**2031 - Trigonometry Review
- 1 credit hour**

This course is particularly aimed at helping students
taking Calculus who may need some review of Trigonometry.
This course may satisfy a portion of the electives in depth for
general education. *Prerequisite*:
Successful completion of General Education Mathematics requirement.
*Course Rotation:* As needed.

**2153 - Finite
Mathematics - 3 credit hours**

Selected topics in probability, matrices and matrix
algebra, and linear programming. This course may satisfy a portion
of the electives in depth for general education.
*Prerequisite*: MATH 1113
*or* equivalent. *Course
Rotation*: Fall.** **

**2203
- Introduction to Statistics - 3 credit
hours**

Content includes: descriptive statistics for one
and two variables; elementary probability theory; random variables;
discrete probability distributions; and continuous probability
distributions with emphasis on the normal distribution.
*Prerequisite*: Successful completion of
General Education Mathematics requirement
*or* instructor's permission. *Course
Rotation*: All semesters.

**2213
- Mathematics for Elementary Teachers I - 3 credit
hours**

For future teachers of grades P-9. Course
emphasizes mathematical concepts and processes through solving
problems. Content includes: concepts of decimals and fractions,
number theory, real number system, and numeration systems and
bases. Manipulatives, cooperative learning, reflective writing, and
available technology will be utilized.
*Prerequisite*: Successful completion of
General Education Mathematics requirements. *Course
Rotation*: Fall.

**2223 - Mathematics for Elementary
Teachers II - 3 credit hours**

For future teachers of grades P-9. Course
emphasizes mathematical concepts and processes through solving
problems. Content includes: probability, statistics, measurement
(including metric and English), geometry (properties of shape, two
and three dimensions, similarities, and transformations).
Manipulatives, cooperative learning, reflective writing, and
available technology will be utilized.
*Prerequisite:* MATH 2213. *Course
Rotation*: Spring.

**2301 - Mathematics & Technology
- 1 credit hour**

An array of current technologies is utilized to
solve mathematical problems at the level of calculus and below.
Exposure to the appropriate use and limits of technology is the
main objective. The course is conducted in a laboratory format and
is intended for prospective math majors. Grading: Credit/No Credit.
*Prerequisite or*
*Corequisite*: MATH 2315. *Course
Rotation*: Fall.

**2303 - Calculus for
Business and Social Sciences - 3 credit hours**

Covers selected topics in elementary calculus and analytic
geometry for students in business and social sciences.
*Note: This course may satisfy a portion of the electives in
depth for general education. Credit will be allowed for only one
course of MATH 2315 or MATH 2303.
***Prerequisite**: MATH 1013
*or* equivalent. *Course
Rotation*: Spring in even years.

**2315 - Analytic Geometry and Calculus
I - 5 credit hours**

An introduction to analytic geometry; functions, limits,
and continuity; the derivative and applications; the differential;
integration and applications. *Note: This course may satisfy a
portion of the electives in depth for general education.*
*Prerequisites*: MATH 1124
*or* equivalent. *Course Rotation*:
All semesters.

**2325 - Analytic Geometry and Calculus
II - 5 credit hours**

Presents topics including: techniques of integration;
indeterminate forms and improper integrals; infinite series;
analytic geometry; plane curves and polar
coordinates. *Prerequisite:* MATH
2315. *Course Rotation*: Spring.

**2503 - Discrete Mathematics
- 3 credit hours**

An introduction of the applications of mathematics to problem
situations with an emphasis on the development of problem-solving
skills (using Pólya's four-step process). Current technology
(graphics calculators and computer software) will be used whenever
possible. Conjectures will be posed and informal/formal
proofs will be discussed with content including set theory,
mappings, mathematical induction, and equivalence relations.
*Prerequisite*: MATH 1124
*or* equivalent. *Course Rotations*:
Fall.

**2713 - Introduction to Computational
Science - 3 credit hours**

Presents an introduction to the theory and application of
computer programming. Basic control structures and object-oriented
constructs are explored. *(Also listed as CIS 2713 and PHYS
2713.)* *Prerequisite*: MATH 1013
*or* equivalent. *Course Rotations*:
Spring.

**3003 - Linear Algebra - 3 credit
hours**

Concepts and topics in course include systems of linear
equations, vector spaces, linear transformations, matrices, and
determinants. *Prerequisite:* MATH
2315. *Course Rotation*: Spring.

**3103 - Geometry for Middle Grade
Teachers - 3 credit hours**

For future teachers of grades 5-9. Exploration of
geometrical ideas using constructions, manipulatives, technology,
and a variety of other investigative techniques. This emphasis on
investigation, designed to set the stage for the discovery of key
geometrical relationships, is central. Course content includes: a
panoramic view of geometry, basic ideas of geometry (Euclidean and
non-Euclidean), discovering polygon relationships, tessellations,
and motion geometry. *Prerequisite*: MATH
2223 *or* instructor's permission.
*Course Rotation*: Varies.

**3113 - Geometry - 3 credit
hours**

Concepts and topics explored in this class include
constructions, the axiomatic method, Euclidean geometry, finite
geometries, transformational geometry, and other non-Euclidean
geometries. *Prerequisite:* MATH
2315. *Course Rotation*: Spring.

**3121 - History's Great Problems
- 1 credit hour**

A study of selected topics from the history and nature of
mathematics from ancient to modern times, with an emphasis on
important mathematical concepts and problems.
*Prerequisite:* MATH 2503. *Course
Rotation*: Spring odd years.

**3131 - History's Great Mathematicians
- 1 credit hour**

A study of selected topics from the history and nature of
mathematics from ancient to modern times, with an emphasis on the
biographies and mathematical interests of prominent mathematicians.
*Prerequisite*: MATH 2503. *Course
Rotation*: Spring even years.

**3151 - Mathematics Education I
- 1 credit hour**

Historical and current perspectives of mathematics
education; an introduction to mathematics education organizations
and their resources; and exposure to technologies used in
mathematics. *Prerequisites*: MATH 2315
*and* EDUC 2123. *Course
Rotation*: Fall even years.

**3161 - Mathematics Education II
- 1 credit hour**

An introduction to place-based mathematics,
ethnomathematics, and the integration of mathematics and social
justice issues; and an emphasis on demonstrative mathematics in the
school mathematics curriculum.
*Prerequisites*: MATH 2315
*and* EDUC 2123. *Course Rotation*:
Fall odd
years.

**3203 - Probability and Statistics
- 3 credit hours**

Concepts and topics explored in this class include: a
review of elementary properties of probabilities events,
statistical densities and distributions; properties of random
variables; expected values; law of large numbers; and sampling.
Emphasis is on use of integrated statistical packages (or graphics
calculator) to complement the statistical methodology.
*Prerequisite or*
*Corequisite*: MATH 3314. *Course
Rotation:* Fall.

**3314 - Calculus III - 4 credit
hours**

Concepts and topics explored in this class include
multi-variable functions, partial derivatives, multiple integrals,
vector analysis, and differential equations.
*Prerequisite*: MATH 2325. *Course
Rotation*: Fall.

**3323 - Differential Equations
- 3 credit hours**

Concepts and topics explored in this class include first
and second order ordinary differential equations, the Laplace
transform, and matrix systems of ordinary differential
equations. *Prerequisite*: MATH
2325. *Course Rotation*: Spring.

**4003 - History of Mathematics
- 3 credit hours**

This course is a study of selected topics from the history
and nature of mathematics from ancient to modern times, with an
emphasis on the historical development of mathematics through a
study of biographies of prominent mathematicians and the evolution
of important mathematical concepts. The fundamental role of
mathematics in the rise, maintenance, and extension of modern
civilization will also be considered.
*Prerequisites*: MATH 2325
*and* MATH 3113. *Course Rotation*:
Varies.

**4113 - Abstract Algebra - 3
credit hours**

Introduction to an axiomatic approach to the number
systems and algebraic systems, such as groups, rings, fields, and
Boolean algebra. *Prerequisite*: MATH 3003.
*Course Rotation*: Varies.

**4123 -
Topology - 3 credit hours**

Introduces the basic concepts of topology, including sets,
topological spaces, connectedness, compactness, and separation
axioms. *Prerequisite*: MATH 3314.
*Course Rotation*: Varies.

**4203 - Number
Theory - 3 credit hours**

Concepts and topics explored in this class include first
order axioms, factorization properties, theory of remainders,
perfect numbers, Diophantine problems, and quadratic residues.
*Prerequisite*: MATH 3003. *Course
Rotation*: Varies.

**4303 - Engineering
Mathematics - 3 credit hours**

(Also listed as PHYS 4303.) Provides a rigorous treatment
of some applied mathematics topics that appear in the study of the
physical sciences and in engineering. Specific topics to be
discussed are vector analysis, complex analysis (including complex
integration), differential equations, partial differential
equations, Fourier analysis, and Sturm-Liouville theory.
*Prerequisite*: MATH 3323. *Course
Rotation*: Varies.

**4403 - Mathematical
Modeling - 3 credit hours**

Introduces the application and modeling processes of
mathematics. This course emphasizes continuous models to include
deterministic and stochastic models. The use of computer packages
and algorithms will be incorporated into the solution process. An
individual project is required.
*Prerequisite*: MATH 3314
*or* MATH 3323. *Course
Rotation*: Varies.

**4413 - Foundations of Analysis
- 3 credit hours**

Concepts and topics explored in this class include metric
spaces, limits, continuity, sequences and series, connectedness,
compactness, uniform convergence, and the theorem of
Stone-Weierstrass. *Prerequisite*:
MATH 3314. *Course Rotation*: Varies.

**4513 - Advanced Calculus - 3
credit hours**

Concepts and topics explored in
this course include the real and complex number systems, basic set
theory and topology, sequences and series, continuity,
differentiation, and Taylor's theorem. Emphasis is on careful
mathematical reasoning. *Prerequisite*:
MATH 3314. *Course Rotation:* Varies.