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MATH
0097. Developmental Math 1 (4-0-(4)) Review of basic mathematics
and introductory algebra with emphasis on applications, including
linear functions and related topics. Non-degree credit.
MATH 0098. Developmental Math 2 (4-0-(4)) Prerequisite:
MATH 0097 or required COMPASS score. Review of essential topics of
basic algebra with emphasis on applications, including linear and
quadratic functions and related topics. Non-degree credit.
MATH 0195. Preparatory Algebra (4-0-(4)) Prerequisite:
Math Placement Test. A preparatory mathematics course for regularly
admitted students (not assigned to Basic Studies) whose math
placement test score makes them ineligible to take MATH 1101 or MATH
1111 until they have received remediation. Topics include operations
with real numbers, equations and inequalities, functions and their
graphs, and systems of equations. Non-degree credit.
MATH 1101. Mathematical Modeling (3-0-3) Prerequisite:
MATH 0195 or satisfactory math placement score. This course is an
introduction to mathematical modeling using graphical, numerical,
symbolic, and verbal techniques to describe and explore real-world
data and phenomena. Emphasis is on the use of elementary functions
to investigate and analyze applied problems and questions, supported
by the use of appropriate technology, and on effective communication
of quantitative concepts and results.
MATH 1111. College Algebra (3-0-3) Prerequisites: MATH
0195 with a grade of C or better or satisfactory Mathematics
Placement Test score. This course is a functional approach to
algebra that incorporates the use of appropriate technology.
Emphasis will be placed on the study of functions, and their graphs,
inequalities, and linear, quadratic, piece-wise defined, rational,
polynomial, exponential, and logarithmic functions. Appropriate
applications will be included.
MATH 1113. Pre-Calculus (3-0-3) Prerequisite: MATH
1111 with a grade of C or better or an appropriate math placement
score. This course is designed to prepare students for calculus,
physics, and related technical subjects. Topics include algebraic
and transcendental functions and an intensive study of trigonometric
functions.
MATH 1125. Applied Calculus (3-0-3) Prerequisite: MATH
1111 with a grade of C or better, MATH 1113 with a grade of C or
better, or an appropriate math placement score. Introduction to
limits and continuity, differential calculus of algebraic,
exponential, and logarithmic functions and integration. Applications
in the fields of the behavioral, biological, and managerial sciences
are included.
MATH 1127. Introductory Statistics (3-0-3) Prerequisite:
Satisfactory score on math placement exam or completion of Area A
math course with a grade of C or better. Survey of modern
statistical methods applicable to behavioral, biological, health and
managerial sciences, and education. Organization and analysis of
data, probability distributions, sampling distributions, point
estimation, confidence interval, hypothesis testing, and regression
analysis.
MATH 1131. Calculus with Analytic Geometry 1 (4-0-4)
Prerequisite: MATH 1113 with a grade of C or better or an
appropriate math placement score. Topics include exponential and
logarithmic functions, introduction to limits and derivatives,
computation and application of derivatives, and the definite
integral.
MATH 1132. Calculus with Analytic Geometry 2 (4-0-4)
Prerequisite: MATH 1131 with a grade of C or better. Topics
include the definite and indefinite integrals, improper integrals,
techniques of integration, applications of integration, and infinite
sequences and series.
MATH 1165. Computer-Assisted Problem Solving (3-0-3)
Prerequisite or Co-requisites: MATH 1125 or MATH 1131. Problem
solving using contemporary technology such as graphing calculators,
spread sheets, and computer algebra systems. Topics may include
interpolation; linear regression; elementary differential models;
and an introduction to the fundamentals of computer algebra systems,
including manipulation of lists, sets, data structures, functions,
plots, and program control structures.
MATH 2008. Foundations of Numbers and
Operations (3-0-3) Prerequisite Completion of Area A
mathematics requirement. An exploration of number systems (whole
numbers, integers, rational numbers (fractions) and real numbers),
the relationships between these systems. Understanding operations,
including why standard computational algorithms work. Problem
solving using multiple strategies and appropriate technology. This
course will not count for mathematics minors or majors.
MATH 2115. Introduction to Linear Algebra (3-0-3)
Prerequisite or Co-requisite: MATH 1131. Systems of linear
equations, matrix algebra, vector spaces, bases for a vector space,
linear transformations, eigenvalues and eigenvectors, and matrix
decompositions.
MATH 2125. Introduction to Discrete
Mathematics (3-0-3) Prerequisites: MATH 1113 or MATH 1131
with a grade of C or better or a satisfactory math placement score.
Topics include logic and proof, sets, functions, algorithms, the
integers, matrices, mathematical reasoning, induction, recursion,
counting, discrete probability, relations, graphs, trees, and
Boolean algebra.
MATH 2131. Nature and Use of Numbers 1 (3-0-3)
Prerequisite: Satisfactory score on math placement exam or
completion of Area A math course with a grade of C or better. An
exploration of basic concepts and operations of rational numbers and
generalizations to algebra. Problem solving. Appropriate technology
will be used. This course will not count for mathematics minors or
majors or for secondary mathematics education majors.
MATH 2135. Calculus with Analytic Geometry 3 (4-0-4)
Prerequisite: MATH 1132 with a grade of C or better. Topics
include parametric equations and polar coordinates, vectors, dot and
cross products, vector functions of one real variable, real valued
functions of several variables, differential calculus of functions
of several variables, and multiple integrals.
MATH 3105. Vector Analysis (3-0-3) Prerequisite: MATH
2135 with a grade of C or better. This course covers material from
vector calculus used in physics and in engineering. Topics will
include line, surface, and volume integrals; vector fields,
gradients, divergence, and curl; the theorems of Green, Gauss, and
Stokes; generalized orthogonal coordinates; and selected
applications from physics and engineering.
MATH 3106. Mathematical Theory of Interest (3-0-3)
Prerequisite: Math 1132 with a grade of C or better. Measurement
of interest, time value of money, annuities, amortization and
sinking funds, bonds, depreciation, capitalized cost and finance
applications including net present value, yield rates, and stock and
option pricing.
MATH 3107. Differential Equations (3-0-3) Prerequisite:
MATH 1132 with a grade of C or better and MATH 2115 with a grade of
C or better. Analytic, qualitative, and numerical techniques for
ordinary differential equations. Eigenvalue method and matrix
exponential for solving linear systems. Laplace transform methods.
Use of appropriate software and technology.
MATH 3108. Introduction to Actuarial Science (3-0-3)
Prerequisite: MATH 3175 with a grade of C or better. An
introduction to risk management in property/casualty and life
insurance. Applications of calculus. Applications of probability.
MATH 3131. Nature and Use of Numbers 2 (3-0-3)
Prerequisite: MATH 2131 with a grade of C or better and
admission to a Teacher Education Program. An exploration of basic
concepts and operations of real numbers and generalizations to
algebra. Problem solving. Appropriate technology will be used. This
course will not count for mathematics minors or majors or secondary
mathematics education majors.
MATH 3135. Data Analysis, Statistics and Probability (3-0-3)
Prerequisite: MATH 2131 with a grade of C or better and
Admission to Early Childhood Teacher Education Program. An
exploration of data collection, data representation, data analysis,
and probability. This course will not count for mathematics minors
of majors or secondary mathematics education majors.
MATH 3136. Exploring Geometry and Measurement (3-0-3)
Prerequisite: MATH 2131 with a grade of C or better and
Admission to Early Childhood Teacher Education Program. An
exploration of geometry and measurement topics through the use of a
variety of tools. Topics include formal definitions, elementary
constructions, ratio and proportion, and area and volume. This
course will not count for mathematics minors or majors or for
secondary mathematics education majors.
MATH 3137. Investigative Geometry and Measurement (3-0-3)
Prerequisite: Math 3131. An exploration of geometry and
measurement topics through the use of a variety of tools. Course
focuses on generating hypotheses and using deductive reasoning to
test hypotheses. This course will not count for mathematics minors
or majors or for secondary mathematics education majors.
MATH 3138. Exploring Statistics (3-0-3) Prerequisite:
MATH 1113 or MATH 3131 or Admission to the Secondary Mathematics
Education Program. An exploration of various concepts in probability
and statistics. Topics include experimental and theoretical
probabilities, probability distributions, sampling, hypothesis
testing, correlation and analysis of variance. Appropriate
statistical software will be used in this course.
MATH 3155. Foundations for Advanced Mathematics (3-0-3)
Prerequisite: MATH 1132 with a grade of C or better. Preparation
in mathematical reasoning and proof-writing necessary for upper
division course work in mathematics. Topics include fundamentals of
logic, techniques of proof, sets and relations, equivalence
relations and partitions, mathematical induction, and functions
(including injectivity and surjectivity).
MATH 3175. Introduction to Probability (3-0-3)
Prerequisite: MATH 1132 with a grade of C or better. Topics
include counting techniques, discrete and continuous random
variables, discrete, continuous and multivariate probability
distributions, and functions of random variables. Appropriate uses
of technology will be implemented to analyze data and to simulate
random variables from specified probability distributions.
Applications of probability.
MATH 3555. Advanced Topics in Mathematics (3-0-3)
Prerequisite: MATH 3137. An exploration of various selected
topics in mathematics, such as polynomial functions, conics, right
triangle trigonometry, limits, sequences, rate of change, discrete
mathematical models, and iterative and recursive techniques. This
course will not count for mathematics minors, or majors or secondary
mathematics education majors.
MATH 3556. Selected Topics in Mathematics (3-0-3)
Prerequisite: Consent of the instructor. This course provides an
opportunity for faculty to propose study of topics not normally
available to students in existing curricula. Topics for this course
will vary.
MATH 4195. Undergraduate Research (3-0-3) Prerequisite:
Math 3155 with a grade of C or better and consent of the Department
Chair. Student selection of a research topic, completion of a
written research proposal, and in association with a faculty mentor,
the execution of the research plan. Each student will prepare both
written and oral presentations of the work, and where appropriate,
students will be encouraged to make presentations at regional or
professional meetings, or submit work to a journal for publication.
MATH 4555. Selected Topics in Mathematics for Teachers (3-0-3)
Prerequisites: MATH 1101 and MATH 1113. Topics will be
suitable for elementary and middle school teachers. Mathematics
majors may not receive credit for this course.
MATH 4795. Senior Seminar in Mathematics (2-0-2)
Prerequisites: MATH 3155 with a grade of C or better and Senior
Standing. Readings and presentations in selected topics in
mathematics. May be repeated for credit.
MATH 5111. Introduction to Abstract Algebra 1 (3-0-3)
Prerequisite: MATH 3155 with a grade of C or better. Groups,
subgroups, group homomorphisms, and Lagrange's Theorem.
MATH 5112. Introduction to Abstract Algebra 2 (3-0-3)
Prerequisite: MATH 5111 with a grade of C or better. A
continuation of group theory as well as study of rings, integral
domains, and fields.
MATH 5114. Set Theory (3-0-3) Prerequisite: MATH 1132
with a grade of C or better. This course is an introduction to
intuitive set theory. Topics include sets, operations for sets,
relations, equivalence relations, functions, ordering relations,
natural numbers, cardinal numbers, and countable sets. Emphasis will
be placed on the extension of the natural numbers to the real
numbers. This includes Cantor’s definition of the real numbers and a
detailed study of the properties of the real numbers.
MATH 5116. Number Theory (3-0-3) Prerequisite: MATH
3155 with a grade of C or better. Congruences, algebraic number
fields, and prime number theorems.
MATH 5117. Applied Multivariate Analysis (3-0-3)
Prerequisites: MATH 1127 and MATH 2115 with a grade of C or
better. Applied multivariate methods, sample correlations,
multivariate date plots, eigenvalues and eigenvectors, principle
components analysis, factor analysis, discriminant analysis,
logistic regression methods, cluster analysis, mean vectors and
variance-covariance matrices, multivariate analysis of variance,
prediction models.
MATH 5118. Applied Nonparametric Methods (3-0-3)
Prerequisites: MATH 1127 and MATH 3175. Rank tests of comparing
two treatments, comparing two treatments or attributes in a
population model, blocked comparisons for two treatments, paired
comparisons in a population model and the one-sample problem, the
comparison of more than two treatments, randomized complete blocks,
tests of randomness and independence.
MATH 5119. Applied Categorical Data
Analysis (3-0-3) Prerequisites: MATH 1127 and MATH 3175,
both with a grade of C or better. Sampling distributions, two by two
contingence tables, Simpson's paradox and 2ˆ3 Tables, Goodman's full
rank interaction analyzed for two way tables, further examples and
extensions, conditional independence models for two-way tables,
further topics.
MATH 5121. Actuarial Mathematics 1
(3-0-3) Prerequisite: MATH 3108 with a grade of C or
better. An introduction to risk management in property/casualty and
life insurance. Survival distributions, life insurance, life
annuities, benefit premiums and reserves, multiple life and
decrement models of calculus. Applications of probability.
MATH 5122. Actuarial Mathematics 2
(3-0-3) Prerequisite: MATH 5121 with a grade of C or
better. Individual and collective risk models, compound
distributions, including applications such as stop-loss reinsurance.
MATH 5125. Discrete Mathematics (3-0-3)
Prerequisites: MATH 1132 with a grade of C or better or MATH
2125 with a grade of C or better. Topics include enumeration,
relations, graphs, trees, and modeling computation.
MATH 5135. College Geometry (3-0-3)
Prerequisite: MATH 1132 with a grade of C or better.
Axiomatic development of plane geometry and discussion of
non-Euclidean geometry.
MATH 5151. Introduction to Real Analysis 1 (3-0-3)
Prerequisite: MATH 3155 with a grade of "C" or better. Topology
of real line, sequences, convergent sequences, monotone sequences,
Cauchy sequences, limits of functions, continuous functions, the
derivative, the Mean Value Theorem, L'Hospital's rule, and Taylor's
theorem.
MATH 5152. Introduction to Real Analysis 2 (3-0-3)
Prerequisite: MATH 5151 with a grade of "C" or better. The
Riemann Integral, the properties of the Riemann Integral, the
Fundamental Theorem of Calculus, Infinite Series, convergence of
infinite series, convergence tests, power series, sequences and
infinite series of functions.
MATH 5165. Numerical Analysis (3-0-3) Prerequisites:
MATH 3155 with a grade of C or better and MATH 1165 with a grade of
C or better. Use of computers to solve mathematical problems. Topics
may include root finding, interpolation, numerical differentiation
and integration, solutions to initial value problems in ordinary
differential equations. Error analysis. Use of appropriate software
and technology.
MATH 5166. Game Theory (3-0-3)
Prerequisites: MATH 2115 and MATH 3175, both with a grade of C
or better. Two and N-Person games, Solution concepts and methods,
applications. Use of appropriate technology.
MATH 5175. Mathematical Statistics (3-0-3) Prerequisite:
MATH 3175 with a grade of C or better. Statistical inference,
estimation, tests of statistical hypotheses, multivariate
distributions, linear regression. Appropriate computational devices
and statistical software will be used.
MATH 5176. Statistical Design and Analysis of Experiments (3-0-3)
Prerequisite: MATH 1127 and MATH 3175 with a grade of C or
better in both courses. Completely randomized designs, treatment
comparisons, diagnosing agreement between the data and the model,
experiments to study variances, factorial treatment design and
applications. Appropriate statistical software will be used.
MATH 5177. Applied Regression Analysis (3-0-3)
Prerequisite: MATH 1127 and MATH 3175 with a grade of C or
better in both courses. Simple and multiple regression,
transformation of variables, diagnostic procedures, analysis of
variance and residuals, comparison of two multiple regression
models, calibration and regulation for linear regression, linear
splines, subset analysis and variable selection, nonlinear
regression. Appropriate statistical software will be used.
MATH 5185. History of Mathematics (3-0-3) Prerequisite:
MATH 1132 with a grade of C or better. This course is designed to
acquaint the student with the development of the discipline of
mathematics in various cultures from antiquity to modern times.
Special emphasis will be given to the evolutionary and Multicultural
character of the principal ideas of modern mathematics.
MATH 5555. Selected Topics in Mathematics (3-0-3)
Prerequisite: MATH 3155 with a grade of C or better. Topics for
this course will vary. May be repeated for credit with consent of
the advisor and if topics are different.
MATH 6505. Selected Topics in Mathematics for Teachers (3-0-3)
Prerequisite: Approval of Department Chair. Topics will be
suitable for elementary and middle school teachers. Mathematics
majors may not receive credit for this course.
Please see the
Academic Catalog
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