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.
