MATHEMATICS
M 131 COLLEGE ALGEBRA (3)
This course emphasizes the basic concepts of algebra, equations and
inequalities ; functions, relations,
and graphs; introduction to polynomial and rational functions; introduction to
exponential and
logarithmic functions; and introduction to trigonometry. Not open to students
who have completed
M 141 or M 181. Prerequisite: Satis factory score on the Mathematics placement
test. (Fall, Spring,
Summer.)
M 132 ESSENTIALS OF STATISTICS (3)
This course will cover elementary probability theory, concepts of descriptive
statistics, discrete
and continuous distributions , hypothesis testing, confidence intervals and
sampling. Not open to
students that have completed M 142 or M 182. Prerequisite: M 131 or permission
of department
chair. (Spring and Summer.)
M 141, 142 PRECALCULUS MATHEMATICS I, II (3, 3)
M 141 emphasizes fundamental concepts of the real numbers , including intervals,
inequalities,
absolute values, quadratic equations and inequalities ; an introduction to
complex numbers ; functions
including notation, linear and quadratic functions, translations, composition
and inverse functions,
polynomial and rational functions, synthetic division, graphing techniques , and
the Fundamental
Theorem of Algebra; an introduction to exponential and logarithmic functions and
equations. M
142 emphasizes trigonometric functions, including graphs, inverse functions,
identities and proving
identities; systems and matrices including Cramer’s Rule and systems of
inequalities, and Analytic
Geometry, including conic sections, vectors, polar coordinates, mathematical
induction, the Binomial
Theorem, sequences, series, and summation notations are covered if time permits.
Students who
have successfully completed two years of high school algebra should be able to
complete these courses
satisfactorily. Not open to students who have completed M 182. (M 141, Fall; M
142, Spring.)
M 181, 182 CALCULUS I, II (4, 4)
This course is designed for the well-prepared freshman or the sophomore with
some background
in college mathematics. Mastery of the following topics is emphasized: function
limits, continuity,
differentiation, integration, and applications. M 181, 182 will substitute for M
141, 142 in any
program. Prerequisite: M 142 or permission of department chair. (M 181, Fall; M
182, Spring.)
M 221 DISCRETE MATHEMATICS (3)
This course provides an introduction to discrete mathematical structures. Topics
include elementary
propositional calculus, elementary set theory, functions and relations,
recursion, induction, graph
theory, and combinatorics. Prerequisite: M 142 or permission of department
chair. (On demand.)
M 241 HISTORY OF MATHEMATICS (3)
This course will cover a small sampling of the important ideas and events in the
history of mathematics,
from the clay tablets of the Babylonians to the beginnings of calculus. Students
will examine
mathematics itself, using both primary sources and modern interpretations;
however, time will also
be spent on the people and cultures responsible for its development. This course
does not satisfy the
ACR, ACR I or ACR II mathematics requirement. Prerequisite: Six credit hours of
mathematics (at
the level of M 131 or above) or permission of the instructor. (On demand.)
M 251 LINEAR ALGEBRA (3)
This course includes the study of abstract vector spaces, linear transformations
and their matrices,
systems of linear equations and determinants, inner products, and
diagonalization of symmetric
matrices. Prerequisite: M 182 or permission of department chair. (On demand.)
M 283 MULTI- VARIABLE CALCULUS (3)
This course continues the study of calculus, with emphasis on functions of two
or more variables.
Topics covered include infinite series, vectors, three-dimensional spaces,
partial derivatives, and
multiple integrals . Prerequisite: M 182. (On demand.)
M 301, 302 ELEMENTARY STATISTICS I, II (3, 3)
These courses offer an elementary knowledge of statistical methods useful in
economics, business,
psychology, sociology, other social sciences, and other disciplines that require
statistical analysis. M
301 emphasizes descriptive statistics and probability, including the binomial
and normal distributions
and sample variability; M 302 continues with more inferential statistics,
including chi-square tests,
analysis of variance, linear correlation and regression, and elements of
non-parametric statistics.
Prerequisite: M 132 or permission of the department chair; CS 218 is
recommended. (M 301, Fall,
Summer; M 302, Spring, Summer.)
M 341 INTERMEDIATE ANALYSIS (3)
This course is designed to continue the study of calculus and analysis. The
topics covered will have more
of a theoretical approach than some of the same topics discussed in more
elementary mathematics. Proof
is emphasized. Prerequisite: M283. (On demand.)
M 361 INTRODUCTION TO GEOMETRY (3)
This course is designed to give a quick and comprehensive background in geometry
for the benefit of math
majors in secondary education. Emphasis will be placed on proofs, congruent
triangles, similar polygons,
right triangles, circles, constructions, loci, and areas and volumes of solids.
Although the majority of
the material will concentrate upon Euclidean constructions, some time will be
spent exploring Non-
Euclidean geometry. Prerequisite: M 182 or permission of department chair. (On
demand.)
M 371 ORDINARY DIFFERENTIAL EQUATIONS (3)
A study of ordinary differential equations and their solutions. A number of
methods used to solve
such equations will be studied. Practical problems in physics, engineering,
biology, economics,
sociology, and chemistry are solved. This course will help the student integrate
calculus, analytic
geometry, algebra, and trigonometry. Prerequisite: M 182. (On demand.)
M 397r INTERNSHIP IN MATHEMATICS (3)
On-the-job experience directed by a member of the mathematics faculty and the
student’s supervisor
at the work site. The job experience is specifically related to applying
mathematical and statistical
principles (such as statistical quality control, etc.) in industry. The course
can be repeated once
for a maximum of 6 credits, and will not replace any other Mathematics course
required for the
Mathematics major. Prerequisite: Open to juniors and seniors who have
successfully completed M 301
and 302 or their equivalents and received permission from the department chair.
(On demand.)
M 411 INTRODUCTION TO MODERN ALGEBRA (3)
Some of the topics that will be studied are number theory, proof, groups,
equivalencies, congruencies,
rings, matrices, linear systems, determinants, and fields. This course will help
the student develop
mathematical maturity. The course is recommended strongly for students who plan
to attend graduate
school or teach mathematics. Prerequisite: M 182 or permission of department
chair. (On demand.)
M 431 NUMERICAL ANALYSIS (3)
This course deals with several numerical methods for solving mathematical
problems of a different
nature. The topics covered in the course are numerical methods for solution of
equations of one
variable, interpolation and polynomial approximation, numerical integration and
differentiation,
initial value problems for differential equations, direct methods for linear
systems and matrix
factorization. Knowledge of a computer programming language is desirable but not
required.
Prerequisites: M 251 and M 371 or permission of department chair. (On demand.)
M 451 MATHEMATICAL MODELING (3)
A survey of the construction and development of mathematical models used in
science and industry.
Models studied may draw upon Markov chains, linear optimization, graph theory,
or differential and
integral equations. Some of the topic analyses include cell growth and decay,
predator-prey systems,
and compartment systems. Mathematics developed contributes to an understanding
of the model and
associated scientific problems that it approximates. Prerequisites: M 182 or
permission of department
chair. (On demand.)
M 464 MATHEMATICS SEMINAR (3)
This course will provide a capstone experience for the student, reviewing the
topics in mathematics
that have been covered as part of the mathematics program and spending time on
problem solving
and providing chances to see the connections among the different fields of
mathematics. Some time
will also be spent studying the history of mathematics beyond the development of
calculus. Open to
seniors only unless permission is granted by the department chair. (On demand.)
