MATH 090 INTERMEDIATE ALGEBRA (3:1:4)
This course covers topics from basic algebra,
solutions of first degree equations and inequalities, graphing of polynomial
functions, polynomial functions, polynomial algebra, solutions to linear
systems of equations, exponential and logarithmic expressions. Credits may not
be used toward the 120 hours required for graduation.
Syllabus MATH 090
MATH 100 GE: NUMBERS SETS AND STRUCTURES (3:3:0)
This course presents mathematics as a deductive
science which starts with empirical observations but goes beyond the level of
simple, unrelated facts. Search for patterns and, when discovered, justification
of them is the essence of this course. Similarities and differences between
structures of numbers, sets, and some algebraic objects are discussed. Does not
apply toward the Mathematics major. Prerequisite: MATH 090 or 3 units of high
school mathematics including
Algebra 1 and Geometry.
Syllabus MATH 100
MATH 101 GE: EXCURSIONS IN MATHEMATICS (3:3:0)
This introductory course deals with selected
topics in contemporary mathematics applied to the social and natural sciences.
Topics include voting and weighted systems, fair division, apportionment, game
theory, Euler circuits, the Traveling Salesman Problem, minimum networks,
scheduling, linear programming, types of growth, measurement, symmetry and
patterns, collecting and describing data, elementary probability and inference.
Does not apply to the Mathematics Major. Prerequisite: MATH 090 or three units
of high school mathematics including Algebra I.
Syllabus MATH 101
MATH 105 MATHEMATICAL PROBLEM SOLVING FOR ELEMENTARY
EDUCATION MAJORS (3:3:0)
This course is designed to give elementary
education majors experiences in being independent solvers of mathematical
problems while giving them the mathematical foundation for early mathematics.
Concepts in elementary education including sets, whole, integer, rational,
real, and complex numbers are covered.Prerequisite: MATH 090 or three units of
high school mathematics including Algebra I.
Syllabus MATH 105
MATH 110 GE: GENERAL STATISTICS (3:3:0)
This course deals with the collection and
presentation of data, frequency distributions, measures of central tendency and
dispersion, elementary probability, randomness, expectations, significance
testing on large and small samples, correlation, regression, introduction to
analysis of variance, and other common statistical methods. Does not apply
toward Mathematics major. Prerequisite: MATH 090 or three units of high school
mathematics including Algebra 1.
Syllabus MATH 110
MATH 130 GE: APPLIED ALGEBRAIC METHODS (3:3:0)
This course introduces students to mathematical
modeling using linear, exponential, and power functions and systems of
equations. Algebraic and geometric techniques are developed. Applications to
the life, social, and management sciences include linear programming and
difference equations. Does not apply toward the Mathematics major.
Prerequisite: MATH 090 or three years of college preparatory high school
mathematics including Algebra I and Geometry.
Syllabus MATH 130
MATH 131 GE: APPLIED CALCULUS (3:3:0)
A one semester introduction to the techniques of
differential and integral calculus, this course will concentrate on the
application of these techniques in the life and social sciences. Does not apply
toward the mathematics major. Prerequisite: MATH 130 with a grade of C or
higher.
Syllabus MATH 131
MATH 135 GEPRE-CALCULUS (3:3:0)
This course is designed to prepare students for
calculus. Topics include equations, inequalities, functions and their graphs,
polynomial, rational, exponential, logarithmic, and trigonometric functions.
Prerequisites: College preparatory mathematics including Algebra 2 and Geometry
and an appropriate score on the mathematics placement test.
Syllabus MATH 135
MATH 140 GE: CALCULUS 1 (4:4:0)
Together with Calculus 2 and Multivariate
Calculus, the basic concepts and applications of elementary analysis are
covered. Calculus 1 topics include functions, continuity, the derivative and
its applications, and an introduction to the definite integral. Prerequisites:
MATH 135 with a grade of C or better, or four units of college preparatory
mathematics including Algebra 2, Geometry, and Trigonometry and a satisfactory
score on the Calculus Readiness Test.
SyllabusMATH 140
MATH 141 GE: CALCULUS 2 (4:4:0)
The concept of the integral is developed in
detail. Techniques of integration, applications of the integral, and an
introduction to differential equations are covered. Also, infinite series of
numbers and functions are used to illustrate approximation theory.
Prerequisite: MATH 140 with a grade of C or higher.
Syllabus MATH 141
MATH 150 GE: MATHEMATICS AND WESTERN CIVILIZATION (3:3:0)
This course examines mathematics as a cultural
force in Western civilization. Some of the relationships of mathematics to
philosophy, economics, politics, art, and the natural sciences will be
considered. Emphasis will be placed on how mathematical solutions were obtained
for human problems.
Syllabus MATH 150
MATH 205 GEOMETRY FOR ELEMENTARY EDUCATION MAJORS (3:3:0)
This course is designed to give Elementary
Education majors experiences in being independent solvers of mathematical problems
while giving them the mathematical foundation for early mathematics. Topics
include probability, geometry, and geometric systems. Prerequisite: MATH 105;
Early Childhood or Elementary Education major.
Syllabus MATH 205
MATH 220 DISCRETE MATHEMATICAL STRUCTURES (3:3:0)
This course introduces some basic concepts of
finite algebraic structures. Topics covered include logic, sets, induction,
matrices, order relations, Boolean algebras, semigroups, and groups. Prerequisite:
MATH 140.
Syllabus MATH 220
MATH 240 MULTIVARIATE CALCULUS (4:4:0)
This course develops calculus of several
variables. Topics covered include vectors, functions of many variables and
their derivatives and integrals, optimization, parametric curves and surfaces,
and applications. Prerequisite: MATH 141 with a grade of C or higher.
Syllabus MATH 240
MATH 280 MATHEMATICS OF FINANCE (3:3:0)
This course consists of an introduction to the
theory and mathematics of simple and compound interest with application to and
emphasis on annuities, sinking funds, amortization, life insurance, stocks,
bonds, and installment buying. Prerequisite: MATH 130.
Syllabus MATH 280
MATH 290 SPECIAL TOPICS (Semester Hours Arranged)
These courses are designed to meet specific
needs of groups of students or are offered on a trial basis in order to determine
the demand for and value of introducing them as a part of the curriculum.
MATH 311 STATISTICS I (3:3:0)
This course gives a rigorous introduction to
descriptive statistics, discrete and continuous probability distributions,
sampling estimation, and hypothesis testing.
Prerequisite: MATH 141.
Syllabus MATH 311
MATH 320 LINEAR ALGEBRA (3:3:0)
This course deals with the arithmetic of
matrices, linear transformation of the plane, algebra of determinants with
applications to the systems of linear equations, vector spaces, characteristic
values and their application. Prerequisite: MATH 220.
Syllabus MATH 320
MATH 341 DIFFERENTIAL EQUATIONS (3:3:0)
This course examines solutions of first order
differential equations, linear equations of higher order, numerical techniques
of solution, power series methods, LaPlace
transform, and applications. Prerequisite: MATH 240 or permission of
instructor.
Syllabus MATH 341
MATH 351 MODERN GEOMETRY (3:3:0)
Problem solving in geometry will be the main
focus of this course. Three types of problems are studied. The first will be
straightedge and compass constructions from Euclidean Geometry. The next will
develop the Newton-Poincare model of Lobachevskian Geometry. The third will be
isometries of the Euclidean plane. Prerequisite: MATH 220.
Syllabus MATH 351
MATH 360 INTRODUCTION TO COMBINATORICS (3:3:0)
This course introduces the basic techniques and
modes of reasoning of combinatorial problem-solving. Topics covered include
elementary counting principles, permutations and combinations, the
inclusion/exclusion principle, recurrence relations, basic properties of graphs
and digraphs, trees, graph coloring, and Eulerian and Hamiltonian circuits.
Prerequisite: MATH 220.
Syllabus MATH 360
MATH 411 STATISTICS II (3:3:0)
The mathematical properties of the sampling
distributions of statistics will be investigated to develop criteria for
precise estimation, powerful hypothesis testing, and assessing the robustness
of model assumptions.Emphasis will be placed on the classical methods
associated with the normal distribution and to the analysis of real data with
linear models.Standardsoftware packages will be used.Prerequisite: MATH 141
& 311
Syllabus MATH 411
MATH 416 LINEAR STATISTICAL MODELING METHODS WITH SAS
(3:3:0)
This course is intended for advanced
undergraduate students, graduate students, and working professionals who engage
in applied research. Statistical linear modeling methods are used in
conjunction with SAS computer software to analyze data from experiments and
observational studies.Topics include regression analysis, analysis of variance,
multiple comparisons and multiple tests, mixed models, analysis of covariance,
logistic regression, and generalized linear models.Prerequisite: Satisfactory completion of a college course in statistics.
MATH 420 NUMBER THEORY (3:3:0)
This course deals with the study of the
divisibility properties of integers, the theory of congruences, continued
fractions, linear diophantine equation in one variable and more than one
variable, algebraic number fields, and rings of algebraic integers.
Prerequisite: 12 hours of college mathematics.
Syllabus MATH 420
MATH 421 ABSTRACT ALGEBRA I (3:3:0)
This course will introduce the students to the
basic algebraic structures, including groups, rings, and fields. Prerequisites:
MATH 220, 240.
Syllabus MATH 421
MATH 422 ABSTRACT ALGEBRA II (3:3:0)
A continuation of MATH 421, this course will
cover the structure of abelian groups, the Sylow Theorem, polynomial rings and
unique factorization, algebraic extension fields, finite fields, and Galois
Theory. Prerequisite: MATH 421.
Syllabus MATH 422
MATH 425 INTRODUCTION TO MATHEMATICAL MODELING (3:3:0)
This course initiates the construction,
analysis and research of real world mathematical models in order to promote
creativity and emphasize ingenuity for finding reasonable solutions to
open-ended problems, including experimentation and simulation. The study of
theoretical model types is left for more advanced courses. Prerequisites: MATH
140, 141, 320; CPSC 111.
Syllabus MATH 425
MATH 430 HISTORY OF MATHEMATICS (3:3:0)
This course studies the biographies of leading
mathematicians and their contributions to mathematics, the historical
development of subject-matter fields of mathematics, and the role that
mathematics has played in the development of civilization. Prerequisite: MATH
220, 240.
Syllabus MATH 430
MATH 431
TEACHING MATHEMATICS USING TECHNOLOGY (3:3:0)
This course is designed for pre-service and in-service teachers of secondary
mathematics. It is a capstone course in both mathematics and the technology
used in the mathematics classroom. Students will use various calculators and
computer programs to solve significant problems and prepare lessons in
calculus, statistics and geometry. This course may not be used as an elective
for the B.A. in Mathematics or the B.S. in Applied Mathematics. Prerequisites:
24 credits of mathematics (140 or higher) or graduate standing in Mathematics
Education.
Syllabus MATH 431
MATH 440 REAL ANALYSIS I (3:3:0)
This course introduces students to the basic
analytical structures of the real number and functions, including limits,
sequences, series, topology, and continuity. Prerequisites: MATH 220, 240.
Syllabus MATH 440
MATH 441 REAL ANALYSIS II (3:3:0)
A continuation of MATH 440, this course will
cover differentiation, integration, sequences and series of functions and
additional topics such as Fourier series, metric spaces, and approximation.
Prerequisite: MATH 440.
Syllabus MATH 441
MATH 470 NUMERICAL METHODS I (3:3:0)
This course will develop the numerical
algorithms and error estimates for finding roots, solving equations, and curve fitting.
The emphasis is on algorithms with good error characteristics and reduction of
round off error. Prerequisites: MATH 240, 320; CPSC 111 or 211.
Syllabus MATH 470
MATH 480OPERATIONS RESEARCH (3:3:0)
This course gives an introduction to both
deterministic and stochastic operations research.The covered topics will
include the nature of operations research, linear programming, project
scheduling, dynamic programming, integer programming, queuing theory and stochastic
simulation.Prerequisites:A grade of "C" or better in MATH 311 &
320.
Syllabus MATH 480
MATH 485 INDEPENDENT STUDY (Semester Hours Arranged)
This experience is taken upon the initiative of
a student who seeks to study with a knowledgeable faculty member in order to
deepen a specific interest in a particular academic discipline.
MATH 499 STUDENT TEACHING INTERNSHIP (1:0:TBA)
This course is designed to provide the student with
an opportunity to work with a faculty member in the student’s primary Arts and
Sciences discipline during the student teaching experience. The course will enhance
the student’s ability to understand and maximize the relationship between
disciplinary subject matter and pedagogy.
GRADUATE COURSES
MATH 502 APPLIED
STATISTICS (3:3:0)
This course deals with the interpretation and application of
elementary statistical techniques, and the solution of problems relative to
correlation, inference, prediction, and analysis of variance.
MATH 516 LINEAR
STATISTICAL MODELING METHODS WITH SAS (3:3:0)
This course is intended for advanced undergraduate students,
graduate students, and working professionals who engage in applied research.
Statistical linear modeling methods are used in conjunction with SAS computer
software to analyze data from experiments and observational studies.Topics
include regression analysis, analysis of variance, multiple comparisons and
multiple tests, mixed models, analysis of covariance, logistic regression, and
generalized linear models.Prerequisite: Satisfactory
completion of a college course in statistics.
MATH 520 NUMBER THEORY
(3:3:0)
This course includes a consideration of the fundamental laws
of integers, the linear Diophantine equation, the Euclidean algorithm, prime
numbers, divisibility, congruences, the Theorems of Fermat and Wilson, primitive roots, and indices.
MATH 530 TRENDS IN
SECONDARY EDUCATION (3:3:0)
This course will examine current and proposed secondary
mathematics curricula and models of teaching and learning mathematics. Major
foci will be mathematical problem solving and integrating technology into the
mathematics curriculum.
MATH 531 TEACHING
MATHEMATICS USING TECHNOLOGY (3:3:0)
Designed for in-service secondary mathematics teachers, this
course will cover the use of graphing calculators, computer algebra and
geometry systems, how to incorporate them into the classroom and how the
availability of technology will change the mathematics that will be taught.
MATH 551
TRANSFORMATIONAL GEOMETRY (3:3:0)
Introductory transformational geometry for teachers of
mathematics will be covered. The transformations are over the 2-Dim and 3-Dim
extended Euclidean Spaces. The transformations will be classified and factored
by their invariants. The computer software, Mathematicaä or similar software will
be used to do the linear algebra. Applications will be made to computer
graphics.
MATH 570 NUMERICAL
METHODS I (3:3:0)
This course will develop the numerical algorithms and error
estimates for finding roots, solving equations and curve fitting. The emphasis
is on algorithms with good error characteristics and reduction of round off
error. Prerequisites: MATH 320, MATH 240, and CPSC 111 or CPSC 211.
MATH 571 NUMERICAL
METHODS II (3:3:0)
This course is a continuation of the Numerical Methods I and deals
with algorithms for interpolation, differentiation, integration, ODE and
foreign values.
MATH 577 INDEPENDENT
STUDY IN MATHEMATICS (SEMESTER HOURS ARRANGED)
Under the guidance of a qualified faculty member, the student
pursues a program of readings, study, and research related to professional
knowledge and understanding in Mathematics. Topics should be established prior
to enrollment. Prerequisite: Permission of the chairperson of the Department of
Mathematics.