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Catalog Table of Contents |
| MATHEMATICS COURSES (MTH) |
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| MTH 0096 |
Pre-Algebra (3) |
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Topics include operations with whole numbers,
decimals, and fractions. Ratio, percent and equation
solving will be emphasized. Note: This course
is for institutional credit only and will not be used
in meeting degree requirements. This course will
not substitute for any general studies requirement. |
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| MTH 1100 |
Fundamentals of Algebra (3) |
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Topics include integer and rational arithmetic, linear
equations, inequalities, integer exponents, polynomials
and factoring, rational expression. Prerequisite:
Placement or a grade of C or better in MTH
096. Note: This course is for institutional credit
only and will not be used in meeting degree requirements.
This course will not substitute for any
general studies requirement. |
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| MTH 1105 |
Intermediate Algebra (3) |
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Topics include real and complex numbers; polynomials
and factoring; rational exponents; roots and
radicals; linear equations and inequalities; quadratic
equations; and graphing. Prerequisite: Placement
or a grade of C or better in MTH 1100. Note: This
course is for institutional credit only and will not
be used in meeting degree requirements. This
course will not substitute for any general studies
requirement. |
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| MTH 1110 |
Finite Mathematics (3) |
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Topics include a survey of logic, sets, counting,
permutations, combinations, basic probability, an
introduction to statistics, and matrices and their
applications to Markov chains and decision theory.
Prerequisite: Appropriate score on mathematics
placement test, advanced placement, or a grade of
C or better in MTH 1105. Note: Credit will not
count toward a major or minor in mathematics. |
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| MTH 1112 |
Pre-Calculus Algebra (3) |
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Topics include the algebra of functions, including
polynomial, rational, exponential, and logarithmic
functions. The course also contains systems of
equations and inequalities, linear and quadratic
equations and inequalities, graphs of polynomials,
and the binomial theorem. Prerequisite: Appropriate
score on mathematics placement test, advanced
placement, or a grade of C or better in MTH 1105.
Note: Credit will not count toward a major or
minor in mathematics. |
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| MTH 1114 |
Pre-Calculus Trigonometry (3) |
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This course covers trigonometric functions including
definitions, identities, and trigonometric equations,
applications as well as properties and graphs
of trigonometric functions and their inverses. Also
include are the law of sines, the law of cosines,
polar coordinates, vectors, and conic sections.
Prerequisite: MTH 1112 with a grade of C or better
or advanced placement. Note: Credit will not
count toward a major or minor in mathematics. |
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| MTH 1115 |
Pre-Calculus Algebra and Trigonometry (4) |
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The course covers the algebra of functions, systems
of equations and inequalities, quadratic inequalities,
and the conic sections. It also includes the study of
trigonometric and inverse trigonometric functions,
trigonometric equations, vectors, complex numbers,
polar coordinates, and DeMoivre’s Theorem. Prerequisite:
MTH 1105 with a grade of C or better,
appropriate score on the mathematics placement
test, or advanced placement. Note: Credit will not
count toward a major or minor in mathematics. |
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| MTH 1125 |
Calculus I (4) |
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Topics include limits of functions, derivatives of
algebraic, trigonometric, exponential and logarithmic
functions and their inverses and the definite
integral and its application to area problems. Applications
of the derivative are covered in detail
including approximations of error using differentials,
maximum and minimum problems, and curve
sketching using calculus. Prerequisite: MTH 1115
or 1114, or advanced placement. |
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| MTH 1126 |
Calculus II (4) |
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Topics include vectors in the plane and in space,
line and planes in space, applications of integration
(such as volume, arc, length, work, and average
value), techniques of integrations, indeterminate
forms, infinite series, polar coordinates, and parametric
equations. Prerequisite: MTH 1125 or
advanced placement. |
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| MTH 2201 |
Business Calculus (3) |
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An introduction to the basic ideas and techniques of
differential and integral calculus, especially as they
relate to problems involving maximum and minimum
values of functions and marginal analysis. Prerequisite: MTH 1112 or 1115 with a grade of C
or better, or advanced placement. Note: Credit
will not count toward a major or minor in mathematics. |
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| MTH 2210 |
Applied Statistics (3) |
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Applications of statistical techniques, such as experimental
design, hypothesis testing, parametric
and non-parametric tests along with descriptive
statistics in contemporary research. This course
will focus on the commonly used parametric statistical
tests, their non-parametric counterparts, and
the conditions under which each test is appropriate
or inappropriate. Prerequisite: A grade of C or
better in MTH 1112. Note: Credit will not count
toward a major or minor in mathematics. |
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| MTH 2215 |
Applied Discrete Mathematics (3) |
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Discrete mathematics with a computer science orientation
is presented. Topics include sets, relations,
logic, algorithms, and recursion. Prerequisite: A
grade of C or better in MTH 1112. Note: Credit
will not count toward a major or minor in mathematics. |
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| MTH 2220 |
Computer Programming for Mathematics (3) |
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Structured programming of a mathematical nature,
arithmetic computations, algorithm design and
control structures, functions and subroutines, intrinsic
functions, array processing. Prerequisite: MTH
1125. |
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| MTH 2227 |
Calculus III (4) |
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Topics include vector functions, multi-variable
functions, partial derivatives and their applications,
quadric surfaces, multiple integrations, and vector
calculus, including Green’s theorem, curl, divergence,
surface integrals, and Stoke’s theorem. Prerequisite:
MTH 1126 or advanced placement. |
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| MTH 2251 |
Mathematical Concepts for K-6 Teachers I (3) |
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An examination of some of the major topics encountered
in the teaching of elementary mathematics
with emphasis on number theory, order of operations,
definitions of and operations with rational
and irrational numbers, estimation, definitions and
algorithms of the four operations, numeration systems,
bases other than ten, and problem solving.
Prerequisite: MTH 1110 or 1112. Note: Credit
will not count toward any major or minor in mathematics. |
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| MTH 2252 |
Mathematical Concepts for K-6 Teachers II (3) |
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An examination of some of the major topics encountered
in the teaching of elementary school
geometry with emphasis on measurement, area,
volume, congruence, polygons, circles, constructions,
motion geometry, polyhedra, and similarity.
Prerequisite: MTH 1110 or 1112. Note: Credit
will not count toward any major or minor in mathematics. |
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| MTH 3300 |
Selected Topics (3) |
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Examination of a designated topic of special and/or
current interest and importance, which is generally
not covered in regularly offered courses in the
mathematics curriculum. |
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| MTH 3311 |
Differential Equations (3) |
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An introduction to ordinary differential equations.
Topics include first order methods, linear equations,
the Laplace transforms, systems of equations,
and applications. Prerequisite: MTH 2227. |
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| MTH 3318 |
Introduction to Advanced Mathematics (3) |
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Topics include set theory, equivalence relations and
partitions, logic, number systems, functions, and
proof writing techniques. Prerequisite: MTH 1126
or permission of instructor. |
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| MTH 3325 |
College Geometry (3) |
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Axiomatic systems; incidence and separation properties
of planes and space; metric and synthetic
approaches; geometric inequalities; parallel postulate;
area-theory; circles in a plane; models for
hyperbolic and elliptic geometries; and constructions
with a protractor and compass. Prerequisite:
MTH 3318 or permission of instructor. |
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| MTH 3331 |
Linear Algebra (3) |
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Matrices, systems of equations, determinants, eigenvalues
and eigenvectors. Prerequisite: MTH
1126 or permission of instructor. |
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| MTH 3364 |
Vector Calculus (3) |
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Differentiation in several variables. Line and surface
integrals. Potential theory and differential
forms. Prerequisite: MTH 2227. |
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| MTH 4412 |
Discrete Mathematics (3) |
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Topics can include counting, graph theory, partitions,
principle of inclusion and exclusion, finite
geometries, applications of group theory, recurrence
relations, generating functions. Prerequisites:
MTH 2227 and 3318. |
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| MTH 4420 |
Introduction to Algorithmic Graph Theory (3) |
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The elements of the theory and algorithms of
graphs and hypergraphs with motivating examples
from computer science, networking, scheduling,
biology, etc.; algorithms, complexity, data structures,
shortest paths, spanning trees, depth-first
search, planar graphs, coloring of graphs and hypergraphs. Prerequisites: MTH 3331, computer
programming course, or permission of instructor. |
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| MTH 4422 |
Numerical Analysis (3) |
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Topics include finite differences, interpolation,
numerical integration and differentiation, solutions
of equations of one variable, linear systems, and
numerical solutions of ordinary differential equations.
Prerequisites: MTH 2220, 2227 and 3331,
or permission of instructor. |
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| MTH 4424 |
Real Analysis I (3) |
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The real number system, completeness, limits, continuity,
sequences, differentiation, and the Riemann
integral. Prerequisites: MTH 2227 and 3318. |
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| MTH 4425 |
Real Analysis II (3) |
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Sequences and series of functions, series, and a
continuation of the integral to include the Fundamental
Theorem of Calculus. Prerequisite: MTH
4424. |
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| MTH 4426 |
Complex Analysis (3) |
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Complex numbers, elementary functions and their
mappings, complex limits and power series, analytic
functions, integrals, contour integral, and
Cauchy integral formula. Prerequisites: MTH 2227
and 3318 or permission of instructor. |
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| MTH 4436 |
Number Theory (3) |
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Divisibility, congruencies, prime numbers, Fermat’s
theorem, Diophantine equations, number
theoretic functions. Prerequisites: MTH 2227 and
3318. |
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| MTH 4441 |
Abstract Algebra I (3) |
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Properties of the integers, modular arithmetic.
Elementary theory of groups, finite groups, subgroups,
cyclic groups, permutation groups. Group
isomorphisms and homomorphisms. Prerequisites:
MTH 2227, 3318, and 3331, or permission of instructor. |
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| MTH 4442 |
Abstract Algebra II (3) |
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Elementary theory of rings, polynomial rings, divisibility,
unique factorization domains. Integral
domains, ideals, factor rings, divisibility in integral
domains. Elementary theory of fields. Extension
fields. Prerequisite: MTH 4441. |
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| MTH 4451 |
Mathematical Statistics I (3) |
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Probability theory, sample spaces, random variables,
mutual exclusion, independence, conditional
probability, permutations and combinations, common
discrete and continuous distributions, expected
value, mean, variance, multivariate distributions,
covariance, Central Limit Theorem. Prerequisite:
MTH 2227 or permission of instructor. |
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| MTH 4452 |
Mathematical Statistics II (3) |
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Fundamentals of the theory of statistics, the Central
Limit Theorem, point estimation, sufficiency, consistency,
hypothesis testing, sampling distributions,
confidence intervals, linear regression models,
interpretation of experimental results, Bayesian
Estimation. Prerequisite: MTH 4451. |
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| MTH 4460 |
Topology (3) |
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An introduction to metric and topological spaces
and associated topics, separation axioms, compactness,
and connectedness. Prerequisites: MTH 2227
and 3318. |
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| MTH 4474 |
Internship in Mathematics Education (9) |
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The Professional Internship Program is the culminating
clinical field-based experience for students
seeking certification in a teaching field. The Professional
Internship Program provides the student
with the opportunity to conduct classes and assume
the role of a teacher while receiving supervision
from a classroom teacher and a university supervisor
for a period of one full semester. The student
will demonstrate skills of the informed, reflective
decision maker throughout the internship experience.
Prerequisite: Admission to TEP. Corequisite:
SED 4454. |
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| MTH 4481 |
Methods and Materials for the Secondary
Teacher (3) |
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A survey of teaching methods and materials appropriate
for teaching in the content areas for grades 6-12. Topics addressed will include teacher evaluation
in the public schools, collaboration with special
education teachers, and lesson planning formats.
In addition, teaching methods, selections
organization and use of mathematics materials for
grades 6-12 will be covered in detail. A professional
laboratory experience is included in this
course. Prerequisite: Admission to TEP. |
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| MTH 4490 |
Senior Seminar (1-3 hours variable credit) |
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Individualized study of a topic in mathematics culminating
in a written and oral presentation. Prerequisites:
MTH 3318 and senior status. |
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| MTH 4491/4492 |
Guided Independent Research (3) |
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Additional information is indexed under Guided
Independent Research and Study. |
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| MTH 4493-4494 |
Guided Independent Study (3) |
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Additional information is indexed under Guided
Independent Research and Study. |
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