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Course Descriptions
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000 Level Courses
 | MATH/AS 010: Preparation for College Mathematics |
| This course will cover basic arithmetic and geometric
principles necessary for the subsequent study of introductory algebra and
other more advanced courses required a basic mathematics competency.
Emphasis is on decreasing mathematics anxiety, the development of mathematics
text-reading abilities, including the study of vocabulary unique to the
mathematics discipline, development of estimation skills, interpretation of
data, mental mathematics, and critical thinking. Written response,
calculator use and experimentation, analysis activities, and problem-solving
will be the major learning modalities.
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| MATH 050: Basic Algebra |
| An introduction to basic arithmetic and algebraic concepts,
including an introduction to real numbers and algebraic expressions, solving
equations and inequalities, polynomials, factoring, graphing, and systems of
equations. The credits in this course do not count toward general
education, or do they count toward graduation. Each semester. |
100 Level
Courses
| MATH 110: Intermediate Algebra |
| Topics in algebra beyond the introductory level yet less
than the precalculus level. No student who has satisfactorily completed
MATH 131 or a higher numbered mathematics course may subsequently receive
credit for MATH 110. Prerequisite: MATH 050 or satisfactory score
on the departmental placement examination. Each semester.
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| MATH 111: Mathematic Concepts in Grades K-8 |
| Operations and properties of integers, fractions, and
decimals. Elementary set theory, number theory, and functions.
Conceptual foundations of the numerical content of the mathematics curriculum
in the elementary and middle grades, with an emphasis on problem solving.
MATH 111 is the first in a two-part sequence; the study of measurement,
geometry, data gathering, and other topics are included in MATH 211.
Prerequisite: MATH 050 or satisfactory score on the departmental
placement examination. Each semester.
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| MATH 112: Excursions in Mathematics |
| A course designed to acquaint the student with the nature
and scope of modern mathematics and its applications. Emphasis is on
concepts and understanding rather than the acquisition of techniques.
Prerequisite: MATH 050 or satisfactory score on the departmental
placement examination. Each semester.
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| MATH 131: Applied Finite Mathematics |
| Mathematical techniques with special applications in
business and related areas. Topics include matrices, linear programming,
mathematics of finance, probability, and statistics. Prerequisite:
MATH 110 or satisfactory score on the departmental placement examination.
Each semester.
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| MATH 171: Precalculus |
| Review of high school algebra, functions inequalities,
analytic trigonometry, logarithms, elementary theory of equations, complex
numbers, and mathematical induction. Prerequisite: MATH 110 or
satisfactory score on the departmental placement examination. Each
semester. |
200
Level Courses
| MATH 211: Fundamental Topics in K-8 Mathematics |
| Investigation of selected topics considered essential to
the basic mathematics curriculum in the elementary and middle grades.
Included are introductions to mathematics reasoning, additional
problem-solving techniques, probability and statistics, geometry and
measurement. Prerequisite: MATH 111. Annually.
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| MATH 212: Intuitive Geometry |
| An intuitive overview of geometry; Euclid's Axioms,
exploration relationships, measurement and coordinate geometries, geometrics
on other surfaces, geometry in nature and art. Prerequisite: Any
100-level mathematics course.
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| MATH 213: Intuitive Calculus |
| An exploratory development of the basic properties of the
real number system and the calculus, including functions, sequences, limits,
continuity, integrals, and derivatives. Topics will be explored
graphically, symbolically, and numerically. Prerequisite: Any
100-level mathematics course.
|
| MATH 214: Finite Mathematics |
| An intuitive introduction to basic properties of finite
mathematics, including logic, counting techniques, elementary probability, and
application to social and computer science. Prerequisite: Any
100-level mathematics course.
|
| MATH 215: Mathematical Concept Laboratory - An
Activity-Oriented Approach |
| Development of certain concepts of mathematics using an
activity-oriented approach. Class is conducted in a laboratory
atmosphere. Topics considered are the rational number system, number
theory, induction, measurement, and geometric shapes. On demand.
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| MATH 221: Elementary Applied Statistics |
| Basic principles and methods of statistical analysis useful
in the social sciences, biology, and education. Designed specifically
for students not majoring in mathematics. Prerequisite: MATH 050
or satisfactory score on the departmental placement examination. Each
semester.
|
| MATH 222: Elementary Nonparametric Statistics |
| The course will examine statistical methods for experiments
that yield small samples and/or ordinal methods for dealing with data from
unknown or intractable distributions and the bases for a well-designed
experiment. Prerequisite: MATH 050 or satisfactory score on the
departmental placement examination. Each semester.
|
| MATH 225: Elementary Survey Sampling |
| This course will address the problems of bias - in both the
mathematics and the survey designs, while introducing the student to the major
survey designs. Prerequisite: MATH 221 or 321 or permission of the
instructor.
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| MATH 232: Calculus for Business I* |
| Differential calculus with application to business and the
social sciences. Topics include limits, derivatives, maxima and minima,
an introduction to integration and related topics. Prerequisite:
MATH 110 or adequate placement in the mathematics placement examination.
Each semester.
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| MATH 233: Calculus for Business II* |
| Application of integral calculus to business and the social
sciences. Topics include rules of integration, definite and indefinite
integrals, series, and partial derivatives. Prerequisite: MATH 232
or the equivalent. Each semester.
* MATH 232-233 are designed for students outside the
natural sciences. Students in math and sciences and better-prepared
students in other disciplines are encouraged to select MATH 270-271 instead.
|
| MATH 260: Applied Calculus |
| A course in the concepts and applications of differential
and integral calculus. Topics include: derivatives and their
applications, integrals and their applications, integration techniques,
numerical integration, and the calculus of several variables. For the
students in the social, behavioral, and biomedical sciences.
Prerequisite: MATH 171 or passing score on the departmental placement
test. Each semester.
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| MATH 270: Calculus I |
| Elementary analytic geometry, limits, continuity,
differentiability. Prerequisite: MATH 171 or its equivalent.
Each semester.
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| MATH 271: Calculus II |
| Review of limits, definition of the Reimann integral and
applications. Integration techniques; topics in analytic geometry.
Prerequisite: MATH 270. Each semester.
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| MATH 272: Calculus III |
| Basic properties of limits, continuous and differentiable
functions. Sequences, series, solid analytic geometry, functions of
several variables, multiple integrals. Prerequisite: MATH 271.
Each semester.
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| MATH 285: Mathematical Modeling |
| A course to develop higher-level problem solving strategies
using mathematics to solve real world problems. Applications from
diverse disciplines will be represented by mathematical models that will then
be solved and analyzed in the context of each problem. Prerequisite:
ENG 110 (or equivalent) and one of either MATH 270 or MATH 260, both with
grades of "C" or better; or permission of the instructor. Spring,
annually.
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| MATH 290: Calculus Workshop |
| This course is an overview of the calculus sequence that
will allow the student to examine problems in differential and integral
calculus by applying simultaneously the methods learned from the entire
sequence. Some new topics and techniques in analysis will also be
discussed. Prerequisite: MATH 272. Every semester. |
300 Level
Courses
| MATH 300: An Introduction to Advanced Mathematics |
| This course takes a rigorous approach to the study of the
standard methods of mathematical proof applied to the areas of set theory,
relations, functions, and cardinality. Prerequisite: MATH 271.
|
| MATH 321: Intermediate Applied Statistics |
| The course is designed to provide an overview of the basic
theory and application of mathematical statistics. Emphasis is placed on
understanding and applying basic statistical theory. Prerequisite:
MATH 271.
|
| MATH 322: Intermediate Statistics II |
| This course will examine in further detail the analysis of
variance, factorial experiments, multiple regression, and an introduction to
time-series. Prerequisite: MATH 321 (MATH 221/222 with
instructor's permission).
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| MATH/CIS 340: Discrete Mathematical Structures |
| An Introduction to sets, relations, functions,
combinations, graphs, and trees emphasizing concrete models. Includes
computer algorithms and mathematical structures useful in computer science.
Designed for students in both mathematics and computer science.
Prerequisites: MATH 300 and CIS 163. Each semester.
|
| MATH 350: Ordinary Differential Equations |
| First order of differential equations. Linear
differential equations of higher order; systems of differential equations.
Series methods. Prerequisite: MATH 272. Annually.
|
| MATH 357: Modern Geometry |
| Axiomatic treatment of topics in geometry.
Prerequisite: MATH 300.
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| MATH 360, 460: Numerical Methods in Mathematics I,
II |
| Types of error, calculus of finite differences, numerical
evaluation of integrals, algorithms for the solution of algebraic equations,
and systems of algebraic equations with applications to selected problems and
computer programming of algorithms. Prerequisite: MATH 271.
Each Spring Semester (360); alternative Fall Semesters (460).
|
| MATH 370: Introductions to Linear Algebra |
| Introduction to vector spaces, linear transformations,
matrices, determinants, and related topics. Prerequisite: MATH
271. Each semester. |
400 Level
Courses
| MATH 421: Mathematical Statistics I |
| Basic concepts of elementary probability; probability in
finite spaces; conditional probability; independent trials; sophisticated
counting; probability in relation to random variables. Prerequisites:
MATH 272 and 300.
|
| MATH 422: Mathematical Statistics II |
| Mathematical expectation; discrete and continuous random
variables; probability densities; sampling distributions; point estimations;
interval estimations; tests of hypotheses; regression and correlation;
analysis of variation; moment-generating functions. Prerequisite:
MATH 421.
|
| MATH 451, 452: Modern Algebra I, II |
| An introduction to groups, rings, integral domains, and
fields. Prerequisite: MATH 300. Fall and spring,
respectively.
|
| MATH 454: Theory of Numbers |
| Factorization, congruence, quadratic reciprocity.
Number theoretic functions, diophantine equations, continued fractions.
Prerequisite: MATH 300.
|
| MATH 459: Introduction to Complex Variables |
| An introduction to complex numbers, analytic functions,
poles, residues, and their applications, including the fundamental theorem of
algebra. Prerequisites: MATH 272 and 300.
|
| MATH 471, 472: Introduction to Real Analysis |
| Limits, continuity, differentiability, integrability, and
convergence for functions of a real variable and several variables.
Prerequisites: MATH 272 and 300.
|
| MATH 473: Elementary Topology |
| Topological spaces, metric spaces, compactness, and
connectedness. Prerequisites: MATH 272 and 300.
|
| MATH 480: Topics |
| This course offers special topics reflecting the interests
of the students. The specific topic to be covered each term will be
announced in advanced. Prerequisites: MATH 272 and permission of
the instructor.
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| MATH 490, 491, 492: Seminar I, II, III |
| Seminar in mathematics. An oral and written
presentation is required.
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| MATH 499: Independent Study |
| Individual study under faculty supervision.
Prerequisites: 12 hours of math numbered 300 or above and written
consent of the department chair. |
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