Mathematics Courses

MAT 060 Essential Mathematics (3 credits)

Although this is a three-credit course, the credits do not count toward graduation.
This course is a comprehensive study of mathematical skills. Its main objective is to provide
a strong mathematical foundation for further study. Topics include: principles and
applications of decimals , fractions, percents, ratios , and proportions, order of operations,
geometry, graphs, measurement, and elements of statistics. Upon completion students
should be able to perform basic computations and solve real-world, multi- step mathematical
problems using technology where appropriate. Prerequisite: Completion of the
Math Placement Test.

MAT 070 Basic Algebra (3 credits)

Although this is a three-credit course, the credits do not count toward graduation.
This course meets three times per week, and is offered through the Mathematics
Reinforcement Lab. It is “self-paced,” peer-tutored, and designed to prepare the student
for Math 115. The topics will be structured to meet the individual needs of each student.
A maximum of 9 credits may be earned from Math 070. Prerequisite: Math placement
exam.

MAT 075 Intermediate Algebra (3 credits)

Although this is a three-credit course, the credits do not count toward graduation.
This course meets three times per week, and is offered through the Mathematics
Reinforcement Lab. It is “self-paced,” peer-tutored, and designed to prepare the student
for Math 115. The topics covered will be structured to the individual needs of each student.
A maximum of 9 credits may be earned from Math 075. Prerequisite: Math placement
exam.

MAT 106 Mathematics: The Science of Patterns (3 credits)

This course engages the student in various mathematical topics interweaving historical
highlights and current developments. Its purpose is to extend the student’s ability to
reason with quantitative information and to develop the critical thinking and quantitative
reasoning skills needed to understand major life issues. Mathematical topics covered
will vary. The student should achieve an appropriate score on Part A of the Mathematics
Placement Exam before enrolling in this course. The student must complete the
Mathematics Placement Test prior to enrolling in this course.

MAT 115 Precalculus (4 credits)

This course consists of lectures and computer labs and meets five hours per week. The
course stresses concepts necessary for calculus, with particular emphasis on functions and
their graphs, problem-solving and mathematical modeling, and an introduction to data
analysis. This course will incorporate the use of computers and graphic calculators. The
student must complete the Mathematics Placement exam prior to enrolling in this
course. This course does not count toward a major in Mathematics. Prerequisite: An
appropriate score on part B of the Mathematics Placement Exam, or permission of the
instructor.

MAT 205 Statistics I (4 credits)

This course consists of lectures and computer labs and meets five hours per week. An
introduction to elementary techniques of statistics reinforced and facilitated by the use
of a statistical computer package. This course emphasizes exploratory data analysis and
the use of statistical inference in the study of population parameters. It includes both
estimation and confidence interval testing procedures. The student must complete the
Mathematics Placement exam prior to enrolling in this course. Prerequisite: An appropriate
score on part B of the Mathematics Placement Exam, or permission of the instructor.

MAT 216 Topics in Discrete Mathematics (3 credits)

A study of discrete models. Topics include graphs theory—trees, Eulerian and
Hamiltonian circuits, and networks; combinatorics—elementary counting principles
with applications to coding and genetic codes, permutations and combinations, inclusion/
exclusion principles, and recurrence relations; matrices; and Markov chains. The
course emphasizes problem-solving and modeling as opposed to algorithmic techniques.
It is recommended for students of the social and natural sciences, as well as for majors
in Business, Education, or Mathematics. Prerequisite: MAT 115 or Math placement
exam.

MAT 221 Calculus I (4 credits)

This course consists of lectures and computer labs and meets five hours per week. The
concept “function” is studied from graphical, numerical, and symbolic perspectives .
Exponential, logarithmic, and trigonometric functions are reviewed and studied in
detail. Derivatives are studied in detail, with emphasis on rates of change, tangent lines,
and local linearity. Differential equations and initial value problems are introduced, with
emphasis on geometric and modeling perspectives. Computers and computer labs are
used throughout. The student must complete the Mathematics Placement exam prior to
enrolling in this course. Prerequisite: Either MAT 115, appropriate scores on parts B and
C of the Mathematics Placement Exam, or permission of the instructor.

MAT 222 Calculus II (4 credits)

This course consists of lectures and computer labs and meets five hours per week.
Differential equations and initial value problems are studied, with emphasis on geometric
and modeling perspectives. Integration, symbolic and numerical, is studied in detail,
with applications, including distance, area, volume, centers of mass, arc length, and
probability. Sequences and series of numbers and functions are studied. Computers and
computer labs are used throughout. Prerequisite: Either MAT 221 or permission of the
instructor.

MAT 310 Multivariable Calculus (4 credits)

This course consists of lectures and computer labs and meets five hours per week.
Vectors, analytic geometry of functions of two or three variables , partial derivatives, multiple
and iterated integrals, extrema of functions of two variables, line integrals , and
Green’s Theorem in the plane are topics discussed in this course. Computer labs will be
used to enhance these topics. Prerequisite: MAT 222.

MAT 312 Linear Algebra & Applications (4 credits)

This course consists of lectures and computer labs and meets five hours per week. It
is a matrix-oriented course which proceeds from concrete, practical examples to the
development of the general concepts and theory. Topics include matrix operations, systems
of equations, determinants, properties of Rn, eigenvalues and eigenvectors, orthogonality,
and partitioned matrices. Prerequisite: MAT 222

MAT 317 Operations Research (4 credits)

This course consists of theory and application of representative methods in operations
research, including topics from linear programming, network analysis, dynamic programming,
game theory, and queuing theory. Prerequisites: MAT 216 , MAT 312, and
CIS 121 or permission of instructor.

MAT 325 An Introduction to Axiomatic Systems & Abstract Algebra
I (3 credits)

An introduction to predicate logic and methods of proof in the contextual setting of
elementary group theory. Topics will include equivalence relations, semigroups, groups,
subgroups, normal subgroups, and quotient groups. Prerequisite: MAT 222 or permission
of the instructor.

MAT 340 Ordinary Differential Equations: A Model Theoretic
Approach (4 credits)

This course consists of lectures and computer labs and meets five hours per week.
Throughout this course, mathematical models are used to introduce, illustrate, and
motivate various concepts. Among the topics treated are first order equations , numerical
methods, second order linear equations with applications to mechanical vibrations
and harmonic motion, higher order linear equations, Laplace transform, series solutions,
matrix methods for linear systems, and nonlinear systems. Computer experiments are
designed to deepen understanding of concepts, and to carry the study of certain topics
to further exploration. Prerequisite: MAT 312, or permission of instructor.

MAT 343 Statistics II (3 credits)

A brief review and continuation of MAT 205. Emphasis is on methods (both theory
and implementation) for multiple regression and analysis of variance. A statistical software
package is used as appropriate. Non-parametric methods are included. Prerequisite:
MAT 205.

MAT 350 Mathematical Modeling (4 credits)

This course consists of lectures and computer labs and meets five hours per week. This
course is designed for the students to analyze, interpret, and criticize a collection of
mathematical models arising in ecology, economy, science, etc. The deterministic view is
adopted throughout the course. Among other models, the course includes decay of pollution,
radioactive decay, plant growth, simple ecosystems , economic growth, population
dynamics, chemical dynamics, and traffic dynamics. Computer experiments form
an integral part of this course. Prerequisite: MAT 340 or permission of instructor.

MAT 401 Introduction to Numerical Analysis (4 credits)

This course consists of lectures and computer labs and meets five hours per week.
Polynomial approximation, numerical differentiation and integration, numerical solution
of differential equations, and numerical linear algebra are some of the topics covered
in this course. Emphasis is placed on error analysis. Computer programs are implemented
to investigate these topics. Prerequisites: MAT 312 and MAT 340.

MAT 422 Abstract Algebra II (3 credits)

This is an extension of the theory of algebraic structures including rings, fields, associative
fields, etc. Associated topics such as category, morphism, isomorphism, coset,
ideal, etc., are discussed. Some applications in other branches of mathematics and
physics, genetics, and information theory are also included. Prerequisites: MAT 312 and
MAT 325.

MAT 450 Real Analysis (3 credits)

This course develops the theory of calculus. Topics include topology of the real line,
properties of continuous maps, sequences of functions, uniform convergence, the Reimann
integral, derivatives and differential forms. Prerequisites: MAT 310 and MAT 325.

MAT 479 Senior Seminar (2 credits)

This course is open only to, and required of all, senior Mathematics majors, as well
as of all senior Mathematics with Concentration in Computer Science majors. The student
will set up a portfolio of his or her mathematical and related work, investigate
mathematical literature, and give oral and written presentations.