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MATHEMATICS
COURSES
MTH 100. ALGEBRAIC CONCEPTS 4 sh
This course is designed to develop and maintain
proficiency in basic algebra skills and to prepare
students for future mathematics work in college
courses.Topics include exponents, factoring, equation
solving, rational expressions, radicals, quadratic
equations and graphs of functions. A specific graphing
calculator is required.This course must be completed with
"C-" or better before taking any other
mathematics course. Elective credit only.
Offered fall.
MTH 112. GENERAL STATISTICS 4 sh
This course provides an introduction to modern
statistics. Students will analyze and critically
interpret real world data using information such as the
U.S. Census, election results and health issues.This
course emphasizes communication, use of technology and
collaborative learning.Topics covered include descriptive
statistics, inferential statistics and regression
analysis. A specific graphing calculator is required.
Prerequisite: MTH 100 or placement exemption Offered
fall, and spring.
MTH 116. APPLIED CALCULUS 4 sh
This introduction to linear systems and differential
calculus emphasizes applications to problem solving in
business and economics. Students gain enhanced ability to
analyze a problem mathematically and study the following
topics: functions, limits, derivatives and applications
of derivatives. No credit for students with MTH 121 or
its exemption. A specific graphing calculator is
required. Prerequisite: MTH 100 or placement exemption.
Offered fall, winter and spring.
MTH 121. CALCULUS AND ANALYTIC GEOMETRY I 4
sh
Students are introduced to analytic geometry, functions,
limits and continuity, differentiation of algebraic
functions with applications, the definite integral and
the fundamental theorem of integral calculus. A specific
graphing calculator is required. Prerequisite: placement exemption based on math SAT and high school GPA. Offered fall and spring.
MTH 206. DISCRETE STRUCTURES 4 sh This
course offers an intensive introduction to discrete
mathematics as it is used in computing sciences. Topics
include functions, relations, propositional and predicate
logic, simple circuit logic, proof techniques and
elementary and discrete probability. Prerequisite: MTH
116 or MTH 121. Offered spring.
MTH 210. MATHEMATICS FOR ELEMENTARY AND MIDDLE
GRADES TEACHERS 4 sh
This course is open only to students majoring in
elementary education, special education or middle grades
education with a concentration in mathematics. Topics
include problem solving, numeration systems, set theory,
rational and irrational numbers (concepts, operations,
properties and algorithms), geometry, measurement and
selected topics in probability and statistics.
Prerequisite: General Studies mathematics requirement.
Offered fall, winter and spring.
MTH 221. CALCULUS AND ANALYTIC GEOMETRY II 4
sh
Students explore applications of the definite integral,
differentiation and integration of transcendental
functions, techniques of integration, indeterminate
forms, improper integrals, infinite sequences and series.
A specific graphing calculator is required. Prerequisite:
MTH 121. Offered fall and spring.
MTH 231. MATHEMATICAL REASONING 4
sh
This study of proof techniques and reasoning skills
introduces the student to another side of mathematics,
namely proof. The student's preceding courses (e.g.,
precalculus and calculus) usually focus on calculations.
Topics include mathematical logic, sets,
mathematical induction, combinatorics, relations and
countability arguments. Approved for advanced-level
designation. Prerequisite: MTH 121. Offered fall and
spring.
MTH 311. LINEAR ALGEBRA 4 sh
This introductory course in linear algebra includes
systems of linear equations, matrices, determinants,
vector spaces, eigenvalues, eigenvectors, orthogonality
and linear transformations. Proofs of the major theorems
and a variety of applications are also covered.
Prerequisites: MTH 221, 231. Offered fall and
spring.
MTH 312. ABSTRACT ALGEBRA 4 sh
Students who have had an introduction to the rules of
logic and proof construction are introduced to abstract
algebra, including topics such as functions, groups
(cyclic, permutation, normal and quotient), properties of
groups, rings, fields, homomorphisms, isomorphisms, real
and complex numbers and polynomials. Prerequisites: MTH
231, 311. Offered spring.
MTH 321. CALCULUS AND ANALYTIC GEOMETRY III 4
sh
This course provides a study of advanced techniques of
differential and integral calculus, including plane
curves and polar coordinates, three-dimensional analytic
geometry including vectors, differentiation and
integration of multivariable functions and applications.
A specific graphing calculator is required. Prerequisite:
MTH 221.
MTH 331. MODERN GEOMETRY 4 sh
This rigorous treatment of axiomatic foundations of
Euclidean geometry through Hilbert's axioms includes
the role and independence of the parallel postulate
(revealed through models and neutral geometry),
straightedge and compass constructions, historical and
philosophical implications of the discovery of
nonEuclidean geometry with an introduction to both
hyperbolic and elliptic geometry. Prerequisite: MTH 231.
Offered fall of odd-numbered years.
MTH 341. PROBABILITY THEORY AND STATISTICS 4
sh
Topics include axiomatic probability, counting
principles, discrete and continuous random variables and
their distributions, sampling distributions, central
limit theorem, confidence intervals and hypothesis
testing. Prerequisites: MTH 221 and 231. Offered fall of
even-numbered years.
MTH 351. THEORY OF COMPUTATION 4
sh
(Same course as CSC 351. See CSC
351 for description.)
MTH 361. SEMINAR I 2 sh
This course prepares mathematics majors for Seminar II,
the capstone seminar, by instruction and experience in
library research and formal oral presentations on
advanced mathematical topics selected by the instructor
and students. Prerequisite: junior/ senior standing or
permission of the mathematics department. Offered
spring.
MTH 371. SPECIAL TOPICS 2-4 sh
Topics are selected to meet the needs and interests of
students.
MTH 415. NUMERICAL ANALYSIS 4 sh
This introduction to numerical analysis includes
floating point arithmetic, interpolation, approximation,
numerical integration and differentiation, nonlinear
equations and linear systems of equations. Prerequisites:
CSC 130; MTH 311, 321; or permission of the instructor.
(CSC 415 is the same as MTH 415.) Offered spring of
even-numbered years.
MTH 421. DIFFERENTIAL EQUATIONS 4
sh
Topics in this in-depth study of methods of solution and
applications of ordinary differential equations include
first-order differential equations (linear and
nonlinear), linear differential equations of higher
order, mathematical models using second-order equations,
systems of differential equations and numerical
techniques including Euler, Improved Euler and the
Runge-Kutta method. Computers or programmable calculators
may be used. Prerequisite: MTH 321. Offered spring.
MTH 425. ANALYSIS 4 sh
This course provides an in-depth study of topics
introduced in the three-course calculus sequence,
including sequences and series, continuity and
differentiation of functions of a single variable, the
Riemann integral and the fundamental theorem of calculus.
Prerequisites: MTH 312 and 321. Offered fall.
MTH 461. SEMINAR II 2 sh
In this capstone experience for senior mathematics
majors, students conduct extensive research on a
mathematical topic and formally present their work in
writing and orally. Course requirements include a
satisfactory score on the ETS major field achievement
test. Prerequisites: MTH 361 and junior/senior standing
or permission of the department. Offered fall.
MTH 471. SPECIAL TOPICS 2-4 sh
Topics are selected to meet the needs and interests of
the students.
MTH 481. INTERNSHIP IN MATHEMATICS 1-4
sh
The internship provides advanced work experiences in
some aspect of mathematical sciences and is offered on an
individual basis when suitable opportunities can be
arranged. Prerequisite: permission of the
department.
MTH 491. INDEPENDENT STUDY 1-4 sh
Prerequisite: permission of the department. May be
repeated with different topics for up to a total of eight
semester hours.
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