**Mathematics
Courses**

**MTH 101 PRE-CALCULUS**

*Three Credits Fall
Semester*

Algebraic equations and simplification: factoring, common denominators and conjugates. Graphs
of equations. Lines, quadratic curves: equations

and graphs. Graphing curves with intercepts and asymptotes. Examples using algebraic,
logarithmic and exponential and trigonometric

functions. Use of mathematics technology.

**MTH 119 APPLIED CALCULUS FOR BUSINESS**

*Three Credits Fall
Semester*

A one semester introduction to differential and integral Calculus designed for Business
Administration majors. Topics include limits, derivatives, rates, exponential functions,
antiderivatives, graphs, logarithms and exponential functions,
antiderivatives, differential equations. The course emphasizes computation,
problem solving and applications. Students who have taken MTH 125 may not
receive credit for MTH 119. *Pre-requisite*: Students who have not taken a high school
equivalent of Pre Calculus should take MTH 101 Pre Calculus before enrolling in
MTH 119.

**MTH **
** 125 CALCULUS I**

MTH
126 CALCULUS II

*Four Credits Each Fall
(MTH 125); Spring (MTH 126)*

First two semesters of a four-semester sequence. Intended primarily for Mathematics and
science majors and minors. Includes theory of Calculus of one variable as well as
computational methods, problem solving, logical reasoning and applications and
applications with algebraic and transcendental functions. In addition to the basic topics from
differential and integral Calculus, these courses include: improper integrals, indeterminate
forms, sequences and series. A computer algebra system, MAPLE V, or graphing
calculators may be used. Students who have taken MTH 119 may not
receive credit for MTH 125.

**MTH **
** 143 MATHEMATICAL REASONING FOR EDUCATION**

*Three Credits Fall
and Spring Semesters*

A one-semester course designed for Education majors. The course includes a review of algebra
and geometry. Further topics include: types of numbers, algebraic structures, theory of
equations, combinatorics, probability and statistics, interpreting and analyzing data.
The course emphasizes problem solving, quantitative and logical reasoning.

**MTH **
** 145 BASIC QUANTITATIVE TECHNIQUES **

(Statistical Reasoning)

*Three Credits Fall and
Spring Semesters*

Basic methods of data analysis: organizing and summarizing data, probability, probability
distributions, statistical inference.

**MTH **
** 149 COLLEGE HONORS SEMINAR**

(Natural Scientific Inquiry)

*Three Credits Not
Offered 2009-2010*

A General Education course open to students in the college-wide Honors Program. Special
themes and topics. Emphasis on oral and written expression. For
further information, consult with the Department Chairperson or the Director of the Honors Program.

**
****MTH
191 THE LANGUAGE OF MATHEMATICS**

(Natural Scientific Inquiry)

*Three
Credits Fall Semester*

Covers
basic concepts, reasoning patterns, and the
language skills which are fundamental to higher mathematics. These
skills include the ability
to read and write mathematics, employ common
patterns of mathematical thought, and
read the write proofs. Prerequisite: MTH
126 or consent of the instructor.

**MTH **** 193 THE NON-EUCLIDEAN REVOLUTION**

(Natural Scientific Inquiry)

*Three Credits Fall
Semester*

Book I of Euclid’s Elements; Plato and Kant on geometry; Euclid’s controversial fifth postulate;
Lobachevsky’s alternative geometry. An intellectual adventure spanning 2100 years, whose outcome
changed the way mathematicians view their subject

**MTH **** 207 STATISTICAL REASONING: CHANCE **

(Statistical Reasoning)

*Three Credits Fall and
Spring Semesters*

An introduction to the ideas and issues of probability and statistics and their
applications in everyday life. Topics include: experiment design,descriptive statistics, chance and inference.

**MTH **
** 225 STATISTICS IN SCIENCE**

(Statistical Reasoning)

*Three Credits
Spring Semester*

Probability; descriptive statistics; normal distribution, inference; hypothesis testing;
analysis of variance; sampling theory; correlation and regression. Examples from the
sciences. Prerequisites: MTH 125-126, or consent of the instructor.

**MTH **
** 251 LINEAR ALGEBRA**

*Three Credits
Spring Semester*

The development of the methods and underlying ideas for solving systems of linear
equations. Topics include: vectors, matrices, linear transformations, determinants and
eigenvectors. Use of mathematical software MAPLE, in applications. Prerequisite:
MTH 261
or consent of the instructor.

**MTH **
** 261 MULTIVARIABLE CALCULUS**

*Four Credits Fall
Semester*

Continuation of the sequence begun in Calculus I and II. Functions of several variables, analytic
geometry, vectors, partial derivatives, multiple integration. Prerequisite:
MTH 126
with minimum grade “C-,” or consent of the instructor.

**
****MTH
270 DISCRETE MATHEMATICS**

*Three
Credits
Spring Semester*

Sets
operations, Countability, Functions, Number
Theory, Equivalence Relations, Recurrence
Relations, Graphs, Combinatorics, Probability.
Pre-requisites: MTH 191 and MTH 126 or
consent of the instructor.

**MTH **
** 351 ABSTRACT ALGEBRA I**

MTH
352 ABSTRACT ALGEBRA II

*Three Credits Each Fall
(MTH 351); Spring (MTH 352)*

Rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields,
groups, Galois theory. Prerequisite: MTH 251 with minimum grade of “C-,” or consent of the
instructor.

**MTH **
** 361 REAL ANALYSIS I**

MTH
362 REAL ANALYSIS II

*Three Credits Each Fall
(MTH 361); Spring (MTH 362)*

Rigorous development of the theory of Calculus of one variable. Topics include: properties of
the real line, sequences, series, limits, continuity and uniform continuity. Additional
topics from differential and integral Calculus of one or more variables. **Pre-requisite**:
MTH 251
and MTH 262, or consent of the instructor.

**
****MTH
364 DIFFERENTIAL EQUATIONS**

*Three
Credits Not Offered 2009-2010*

An
introduction to qualitative, quantitative, and numerical methods for
ordinary differential equations.
Topics include modeling with differential
equations, linear and nonlinear first order
differential equations, higher order linear
equations and system, elementary phase plane
analysis, and series solutions. Additional topics
may also include existence and uniquenessof solutions, forced
oscillations, Laplace transform
techniques, Fourier series, or and introduction
to partial differential equations.

Prerequisite: MTH
261 or consent of the instructor.

**MTH **
** 371 COMBINATORICS AND GRAPH THEORY**

*Three Credits
Alternate Years: Fall 2009, 2011*

Methods for determining, given some well-defined operation, the number of ways it
can be performed. Networks of dots and lines. **Pre-requisite**:
MTH 251 or consent of the
instructor.

**MTH **
** 377 NUMBER THEORY**

*Three Credits
Alternate Years: Fall 2010, 2012*

Mathematical induction, prime numbers, Diophantine equations, congruences, sums of
squares. **Pre-requisite**: MTH 251 or consent of the instructor.

**MTH **
** 384 THEORY OF COMPUTATION**

*Three Credits
Alternate Years: Fall 2010, 2012*

Introduction to the general theory of computation. Formal grammars: regular,
context-free, and context-sensitive languages. Formal automata: finite-state and pushdown
models. Decidability. Parsing. Turing theory. The Chomsky hierarchy. (Also listed as CS 384).

**MTH **
** 393 NUMERICAL ANALYSIS**

*Three Credits Not
Offered 2009-2010*

Both theoretical and practical problems in the computational aspects of mathematics:
approximation of functions, numerical differentiation, solutions to algebraic and
differential equations; topics in linear algebra. Also listed as CS 393. *Pre-requisites*:
MTH 251
and MTH 261 or consent of the instructor.

**MTH **
** 395 PROBABILITY**

*Three Credits
Alternate Years: Fall 2010, 2012*

Mathematical theory of probability, axioms and basic properties, random variables; continuous
and discrete distributions, moments, generating

functions, special distributions, law of large numbers, central limit theorem. Use of
mathematical software in applications. **Pre-requisites**:
MTH 251 and MTH 261 or consent
of the instructor.

**MTH **
** 396 STATISTICS **

(Statistical Reasoning)

*Three Credits
Alternate Years: Spring 2011, 2013*

Theory and application of statistics; random sampling; organization of data; descriptive
statistics; sample mean and additional special

distributions, the theory of Estimators, applications of Estimation, Hypothesis Testing
and Regression. Mathematical software is used in applications of Statistics. *Pre-requisite*:
MTH
251 and MTH 261 or consent of the instructor.

**MTH **
** 399 TOPICS IN MATHEMATICS**

*Three Credits
Spring Semester*

Possible topics include: Advanced Calculus, Complex Analysis, Dynamical Systems,
Geometry, History of Mathematics, Advanced Linear Algebra, Topology.

**
****MTH
420 SENIOR CAPSTONE:** **MATHEMATICAL
MODELING**

**
**
*Four
Credits Not Offered 2009-2010*

Students
learn to create models of real world phenomena
using mathematical tools such as difference
equations, differential equations, lineal algebra, and calculus.
Pre-requisites: Math
Major, Senior Standing.

**MTH **
** 475 INTERNSHIP**

*Three Credits Fall
and Spring Semesters*

Requires approval of the Department Chairperson.

**MTH **
** 490 DIRECTED STUDY**

*Three Credits Fall
and Spring Semesters*

Opportunity for upper level students to do advanced work in a specialized area of
mathematics.

**MTH **
** 496 INDEPENDENT RESEARCH**

*Three Credits Fall
and Spring Semesters*

Students carry out an independent research project under the direction of a faculty
member. The research may be part of an ongoing project being conducted by the faculty
member, or the student and faculty member may develop an original project.
* ***Pre-requisite:** Approval of the faculty member and the
Department Chairperson.

**MTH **
** 497 SENIOR THESIS**

*Three Credits Fall
and Spring Semesters*

Students complete an independent scholarly work under the guidance of a faculty member,
resulting in a substantial written work.

Prerequisite: Senior standing in the department; approval of the faculty member
and the Department Chairperson.