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 prerequisite to Elementary Algebra 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. *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**

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
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
hour**

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 who have not 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.
*Prerequisite*: 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.
*Note:* This course is a prerequisite
for MATH 1013. *Prerequisite*:
Placement. *Course rotation:* All
semesters. *General Education:* Core
-- Inquiry & Analysis.

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

Familiarizes students with standard mathematics
functions. These include polynomial, rational, exponential,
and 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. *Notes:* This course is
a prerequisite for MATH 1124, MATH 2303, and CIS/MATH/PHYS 2713.
Credit will not be given for both MATH 1013 and College
Algebra*.
***Prerequisite****:** MATH
1003 *or* placement. *Course
rotation:* All semesters. *General
Education:* Core -- Inquiry & Analysis.

**1124 -- Precalculus -- 4 credit hours**

Explores algebraic, polynomial, exponential, logarithmic
and trigonometric functions, and their inverses, graphs, matrices,
vectors, conics, and applications. A graphic calculator is
used. *Note:* This course is a
prerequisite for MATH 2315 and MATH 2503.
* ***Prerequisite:** MATH 1013 *or*
placement. *Course rotation:* All semesters.
*General Education:* Core -- Inquiry &
Analysis.

**2003 -- Intersections -- 3 credit hours**

Topics course 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. *Prerequisite:* MATH
1003, MATH 1013, *or* instructor's permission.*
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.
*Prerequisite:* MATH 1003, MATH 1013,
*or* instructor's permission*. Course
rotation:* As needed.

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

This course will help students review for the
quantitative portions of the various standardized tests used for
entrance into graduate and professional schools.
*Prerequisite:* MATH 1003, MATH 1013,
*or* instructor's permission. *Course
rotation*: As needed.

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

Particularly aimed at helping students taking Calculus
who may need some review of Trigonometry.
*Prerequisite:* MATH 1003, MATH 1013,
*or* instructor's permission. *Course
rotation:* As needed.

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

Selected topics in probability, matrices and matrix
algebra, and linear programming.
*Prerequisite:* MATH 1013 *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*: MATH 1003, MATH 1013,
*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:* MATH 1003, MATH 1013,
*or* instructor's permission. *Course
rotation*: Fall.

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

For future teachers of grades P-9. 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). Manipulates,
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 &
Social Sciences -- 3 credit hours**

Covers topics in elementary calculus and analytic
geometry for students in business and social sciences.
*Note:* Credit will be allowed for only one
course of MATH 2315 or MATH 2303.
*Prerequisite:* MATH 1013 or
equivalent. *Course rotation*: Spring even
years.

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

An introduction to analytic geometry, functions, limits,
and continuity, the derivative and applications, the differential,
integration and applications.
*Prerequisites:* MATH 1124 *or*
equivalent. *Course rotation*: All semesters.
*General Education:* Intermediate --
Inquiry & Analysis; Intermediate -- Application &
Integration of Knowledge.

**2325** **-- Analytic Geometry &
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. *General
Education:* Intermediate -- Inquiry & Analysis;
Intermediate -- Application & Integration of Knowledge.

**2403 -- Experimental Statistics -- 3 credit hours**

Emphasis is on modeling and inference. Basic
concepts of probability are introduced and built upon in order to
understand confidence intervals and hypothesis tests, including but
not limited to t-tests, chi-square tests, and analysis of
variance. Case studies will be used to explore design of
experiments, data analysis, correlation, and regression.
Spreadsheets and a statistical software package will be
utilized. *Prerequisite:* MATH 1013
or equivalent. *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 rotation*: 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. *Course rotation*: Spring.

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

Concepts and topics include systems of linear equations,
vector spaces, linear transformations, matrices, and determinants.
*Prerequisite:* MATH 2315.
*Course rotation*: Spring. *General
Education:* Intermediate -- Communication.

**3103 -- Geometry for Middle Grades 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, ethno
mathematics, 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 & 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 graphic calculator) to complement the statistical
methodology. *Co-requisite:*
MATH 3314. *Course rotation:* Fall.

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

Concepts and topics explored include multi-variable
functions, partial derivatives, multiple integrals, vector
analysis, and differential equations.
*Prerequisite:* MATH 2325.
*Course rotation*: Fall. *General
Education:* Intermediate -- Inquiry & Analysis;
Intermediate -- Application & Integration of Knowledge.

**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. *General
Education:* Mastery -- Application & Integration
of Knowledge.

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

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.
*General Education:* Mastery --
Communication.

**4123 --** **Topology -- 3 credit
hours**

Introduction to 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 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**

Topics that appear in the study of the physical sciences
and in engineering. Topics can vary but will include Green's
theorem, Stokes' theorem, and the divergence theorem; complex
variables; partial differential equations; and numerical
methods. Particular emphasis is placed on the integration of
technology into the mathematical process. Also listed as PHYS
4303. *Prerequisite:* MATH 2315.
*Course rotation*: Alternate spring.
*General Education:* Mastery -- Application
& Integration of Knowledge.

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

Introduces the application and modeling processes of
mathematics. 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 include metric spaces,
limits, continuity, sequences and series, connectedness,
compactness, uniform convergence, and the theorem of
Stone-Weierstrass. *Prerequisite:* MATH
3314. *Course rotation*: Varies.
*General Education:* Mastery --
Communication.

**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.

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