# Mathematics Courses

## Mathematics

Mathematics, more than any other human endeavor, relies on
deductive reasoning to

produce new knowledge from the investigation of natural events, whether they
occur in

our immediate environment or in the immensity of space. It serves as a universal

language which represents, interprets, and integrates all such knowledge. The
subject of

mathematics is divided into algebra, geometry, analysis, and probability. Some
of the

concepts of each of these subdivisions are particularly useful in helping to
discuss or

solve problems in other fields. These concepts are frequently called Applied

Mathematics.

**REQUIREMENTS FOR A MATHEMATICS MAJOR **– 38 hours,
including the following:

Hours | |||

MAT | 130 | Calculus with Analytic Geometry I | 4 |

MAT | 140 | Calculus with Analytic Geometry II | 4 |

MAT | 250 | Linear Algebra | 3 |

MAT | 255 | Calculus with Analytic Geometry III | 4 |

MAT | 275 | Differential Equations | 3 |

MAT | 280 | Discrete Mathematics | 3 |

MAT | 310W | Probability and Statistics | 3 |

MAT | 320 | Abstract Algebra | 3 |

MAT | 340 | Foundations of Geometry | 3 |

MAT | 370 | Real Analysis | 3 |

S&M | 200 | Methods of Science and Critical Thinking | 2 |

Plus one of the following courses: | 3 | ||

CSC | 135 | Computer Science I | 3 |

CSC | 165 | Computer Science II | 3 |

TOTAL: |
38 hours |

**REQUIREMENTS FOR A MATHEMATICS MAJOR WITH TEACHER
CERTIFICATION –**

(1) The Mathematics major outlined above.

(2) Plus Professional Education Course Requirements; the one required
laboratory

science course for Mathematics majors with teacher certification must be either
PHS 110

or any PHY course. (For a list of these courses, please refer to the Education
section of

the catalog concerning requirements for certification in Secondary Education.)

(3) To qualify for Student Teaching, a student must have an overall 2.50
GPA and a 2.75

GPA in the Mathematics major outlined above.

**REQUIREMENTS FOR A MAJOR IN ELEMENTARY EDUCATION WITH A
MATHEMATICS SPECIALIZATION – **28 semester hours of coursework. Please refer

to the Education section of this catalog for a listing of required courses.

**REQUIREMENTS FOR A MATHEMATICS MINOR – **20 hours of
course work in

Mathematics numbered 130 or above with at least 6 hours at the 300 level.

## Mathematics Courses

MAT 098R Elementary Algebra |
3 hours |

The first course in a two-semester developmental
mathematics sequence. Topics of

study include arithmetic, real numbers, order of operations, ratio and
proportion,

percent, scientific notation, variables, the language of algebra, solving linear
equations

and inequalities, graphing linear equations, and solving application problems.

Mathematical study skills will be studied and applied throughout the course.
This course

will meet five days a week. (Does not count toward major, minor, general
education, or

graduation requirements.) Graded pass/fail.

MAT 099R Intermediate Algebra |
3 hours |

Prerequisite: MAT 098R, an ACT Math score of at least 19,
or placement by

divisionally designated nationally normed placement test. (e.g. COMPASS)

The second course in a two-semester developmental
mathematics sequence, this

course builds upon a student’s early exposure to algebra in an effort to develop
those

skills needed in the further study of mathematics, science, or related fields.
Topics will

include a review of basic algebra, graphs, factoring, polynomials, linear and
quadratic

equations and inequalities, systems of equations, exponents, roots and radicals,
rational

expressions, and problem solving. (Students who have already received academic
credit

for MAT 121, MAT 130, MAT 260, MAT 262 or other equivalents may not enroll in

MAT 099. Does not count toward major, minor, general education or graduation

requirements.) Graded pass/fail.

MAT 121 Precalculus |
4 hours |

Prerequisite: MAT 099R or an ACT Math score of at least 23
or placement by

divisionally designated, nationally normed placement test (e.g. COMPASS).

Study of functions, graphing (with technology), and
geometry of Cartesian and polar

coordinate plane. Emphasis on function concept as modeling, including
polynomial,

rational, algebraic, exponential, logarithmic and trigonometric functions.
Geometric

representations and manipulations as showing richness of marriage of geometric
to

algebraic. Students who have received academic credit for MAT 130 cannot enroll
in

MAT 121 for academic credit. (Does not count toward major or minor
requirements.)

MAT 130 Calculus with Analytic Geometry I |
4 hours |

Prerequisite: MAT 121 or by placement (prior knowledge of trigonometry required).

Study of the limits extended to differentiation and
integration of polynomial and

trigonometric functions with coordinate geometry interpretations. An
introduction to

the definite integral. The calculus will be presented in multiple
representations: verbal,

numerical and symbolic.

MAT 140 Calculus with Analytic Geometry II |
4 hours |

Prerequisite: MAT 130

Extension of differentiation and integration to
exponential and logarithmic functions

with emphasis on general techniques of integration. The introduction to infinite
series

and Taylor series. Calculators and computers will be used.

MAT 161 Finite Math and Statistics for
Business |
3 hours |

Prerequisite: MAT 099R, an ACT Math score of at least 23,
or placement by

divisionally designated, nationally normed placement test (e.g. COMPASS).

Finite mathematics with business applications. Finite math
portion introduces Euler

circuits, Hamiltonian circuits, digraphs, linear programming and other
mathematical

techniques used in solution of optimization problems. Mathematics of finance,
including

computation of interest rates, amortization of loans, annuities, etc. are also
covered.

Study of statistical techniques needed in business settings, interpretation of
information

in graphical formats, and statistical information in graphic form.

MAT 162 Applied Functions and Calculus for
Business |
3 hours |

Prerequisite: MAT 099R, an ACT Math score of at least 23,
or placement by

divisionally designated, nationally normed placement test (e.g. COMPASS).

Deals with functions, modeling, and algebra topics with introduction to
differential

calculus. Topics geared to business applications and problem solving, functions
and how

they are represented graphically, in tabular forms, in mathematical formulas,
and in

business problems, as well as construction of models representing real world
business

applications. Derivative is introduced and applied in marginal revenue, profit
and cost

problems, and in optimization.

words. Focus on linear, exponential, and polynomial functions in expressing and
solving

MAT 250 Linear Algebra |
3 hours |

Prerequisite: MAT 140.

Introductory course in linear and matrix algebra with primary concern for finite
real

vector spaces. Computer software will be used for various applications.

MAT 255 Calculus with Analytic Geometry III |
4 hours |

Prerequisite: MAT 140.

Discussion of partial differentiation, multiple integrals, line integrals,
Green’s

Theorem, and parametric equations.

MAT 260 Statistics |
3 hours |

Prerequisite: MAT 099R, an ACT Math score of at least 23,
or placement by

divisionally designated, nationally normed placement test (e.g. COMPASS).

Discussion of fundamental methods of descriptive
statistics, statistical inference, and

an introduction to non-parametric statistics and to basic probability. (Does not
count in

any mathematics major.)

MAT 262 Mathematics for Life and Art |
3 hours |

Prerequisite: MAT 099R, an ACT Math score of at least 23,
or placement by

divisionally designated, nationally normed placement test (e.g. COMPASS).

Exploration of a variety of mathematical topics that mix
the concrete and applicable

with the aesthetic in order to broaden and deepen the mathematical experience
and

understanding of the student of the liberal arts and sciences. Topics may
include:

interest and present value, mathematics of voting, finite probability,
statistical

significance, game theory, exponential growth models, mathematics of music,
fractals,

the traveling salesman problem, etc.

MAT 264 Nature of Mathematics |
3 hours |

divisionally designated, nationally normed placement test (e.g. COMPASS).

Topics may include: Do numbers exist? Are the laws of
mathematics arbitrary? Is

statistical significance significant? How is research possible in mathematics?
How big is

infinite? What is a proof? Is illogical knowledge possible? Do androids truly
understand

their own speech?

MAT 275 Differential Equations |
3 hours |

Prerequisite: MAT 140. (Offered in alternate years)

Discussion of first and second order ordinary differential equations, LaPlace

Transforms, eigenvalues of linear systems.

MAT 280 Discrete Mathematics |
3 hours |

Prerequisite: MAT 130, with CSC 135 recommended.

Concepts in discrete mathematics. Sets, logic, mathematical induction,
relations,

functions and graphs are discussed. Emphasis will be placed on algorithmic
processes.

MAT 310W Probability and Statistics |
3 hours |

Prerequisite: MAT 255. (Offered in alternate years)

Study of concepts of probability leading to discussion of the binomial, poisson,
and

normal distributions, as a foundation for statistical inference.

MAT 320 Abstract Algebra |
3 hours |

Prerequisite: MAT 250 or MAT 280. Both courses are
recommended. (Offered in alternate years)

Introduction of the concept of algebraic structures with particular reference to
the

properties of groups and rings

MAT 340W Foundations of Geometry |
3 hours |

Prerequisite: MAT 140. (Offered in alternate years)

Systematic treatment of the foundation of Euclidean Geometry with an

introduction to several finite and non-Euclidean geometries.

MAT 370 Real Analysis |
3 hours |

Prerequisite: MAT 250 or 255. (Offered in alternate years)

Study of limit processes applied to continuous or
differentiable real-valued

functions. Careful definitions and rigorous methods of proof are emphasized.

Topology is introduced as the proper framework for continuous functions.
Advanced

calculus techniques are reviewed.