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MAT 103 INTRODUCTION TO COLLEGE MATHEMATICS
(3 s.h.)
This is a preparatory course for MAT 105 College Algebra
and the basic algebra concepts are discussed. The following
topics are covered in this course: Real numbers, exponents,
factoring, linear and quadratic equations, linear inequalities,
rational expressions, radicals, and word problems. This
course is offered every fall, spring, and summer semesters
MAT 105 COLLEGE ALGEBRA (3 s.h.)
Real numbers, exponents, radicals, factoring, rational expressions,
linear and quadratic equations/inequalities, equations with
radicals, equations/inequalities with absolute values, applications,
functions, graphing, exponential and logarithmic functions,
and systems of equations. Prerequisite: MAT 103 or an appropriate
Math SAT/ACT score or passing a placement test. This course
is offered every fall, spring, and summer semester.
MAT 106 TOPICS IN MATHEMATICS (3 s.h.)
A continuation of Mathematics 105. Topics include geometry,
probability, statistics, and logic. Prerequisite: MAT 105
or permission of the instructor. (This course may be used
by only teacher education majors to fulfill core requirements.)
This course is offered every spring semester.
MAT 110 FINITE MATHEMATICS (3 s.h.)
Functions, lines, sets, systems of equations, inequalities,
matrices, linear programming, probability, and statistics.
Prerequisite: MAT 105 or permission of the instructor. This
course is offered every fall, spring, and summer semester.
MAT 113 PRE-CALCULUS I (3 s.h.)
Review of numbers and their properties, polynomials, rational
expressions, rational exponents, radicals, equations in
one variable, relations, functions, exponential, logarithmic
functions. Prerequisites: (1) three years of secondary school
mathematics, including two years of algebra and units in
geometry and trigonometry, and an appropriate math SAT/ACT
score or passing a placement test or (2) MAT 105 or permission
of the instructor. This course is offered every fall and
summer semester.
MAT 114 PRE-CALCULUS II (3 s.h.)
Trigonometric functions; identities; conditional equations;
inverse relations; de Moivre’s Theorem; polar coordinates;
sequences; series, and binomial theorem. Prerequisite: MAT
113 or permission of the instructor. This course is offered
every spring and summer semester.
MAT 220 APPLIED STATISTICS (3 s.h.)
An introductory course in Statistics with emphasis in Statistical
inference to include elementary probability theory, elementary
set theory, summation notation and continuing to “decision
theory” through topics of sampling distributions,
point estimation, confidence intervals for mean; variance;
difference of population means, correlation, linear regression,
tests of independence, homogeneity, goodness of fit and
analysis of variance. Prerequisite: MAT 105 or permission
of the instructor. This course is offered during the fall
and spring semesters.
MAT 231 CALCULUS I (3 s.h.)
Review of the rectangular coordinate system; the straight
line; graphs of equations; functions and limits; derivatives,
including sines and cosines; applications of the derivative,
including maxima and minima, and curve sketching. Introduction
to the Integral. Prerequisite: MAT 114, passing a placement
test, or permission of the instructor. This course is offered
every fall semester.
MAT 232 CALCULUS II (3 s.h.)
Applications of integration related to the area between
two curves, volume, work, pressure, moments, centers of
mass, arc length, and surfaces of revolution. Derivatives
of logarithmic, exponential, and trigonometric functions;
l’Hopital’s Rule; improper integrals; techniques
of integration. Prerequisite: MAT 231or permission of the
instructor. This course is offered every spring semester.
MAT 250 DISCRETE MATHEMATICS I (3 s.h.)
Logic, sets, functions, algorithms, integers, matrices,
mathematical reasoning—methods of proof, and elementary
counting techniques. Prerequisite: MAT 113 or permission
of the instructor. This course is offered every spring semester.
MAT 251 DISCRETE MATHEMATICS II (3 s.h.)
Advanced counting techniques, relations, graphs and digraphs,
trees, Boolean algebra, and machines. Prerequisite: MAT
250 or permission of the instructor. This course is offered
every fall semester.
MAT 260 TRANSITION TO ABSTRACT MATHEMATICS
(3 s.h.)
Preparatory course for upper-level mathematics courses.
Topics include logic and proofs, set theory, relations,
functions, and cardinality. Prerequisite: MAT 250 or permission
of the instructor. This course is offered every fall semester.
MAT 305 THE HISTORY OF MATHEMATICS (3
s.h.)
Mathematical thought from ancient to modern times, major
theorems of mathematics, problems of different periods,
and the context in which mathematics developed. Prerequisites:
MAT 232 and 250, or permission of the instructor. This course
is offered as needed.
MAT 309 CALCULUS III (3 s.h.)
Infinite sequences and series, conic sections; and polar
coordinates, vectors in the plane and in n-space. Prerequisite:
MAT 232 or permission of the instructor. This class is offered
every fall semester.
MAT 310 CALCULUS IV (3 s.h.)
Differentiation and Integration of functions of several
variables, parameterization of curves and surfaces, Green’s
Theorem, Gauss’ Theorem, Stokes’ Theorem. Prerequisite:
MAT 309. This class is offered every spring semester.
MAT 312 LINEAR ALGEBRA (3 s.h.)
Linear equations, matrices, determinants, vector spaces,
linear independence, linear transformations, similarity
of matrices, and characteristics of a matrix. Prerequisite:
MAT 232 or permission of the instructor. This course is
offered as needed.
MAT 314 NUMERICAL ANALYSIS (3 s.h.)
Error analysis, interpolation, numerical differentiation
and integration, solutions of linear and non-linear systems
of equations, and ordinary differential equations. Prerequisite:
MAT 232, 312, and knowledge of a high-level language. Cross
listed as CSC 314. This course is offered as needed.
MAT 315 MODERN COLLEGE GEOMETRY (3 s.h.)
Euclidean and non-Euclidean geometry. Useful to prospective
secondary school mathematics teachers. Prerequisites: MAT
232 and 250 or permission of the instructor. This course
is offered as needed.
MAT 316 MODERN ALGEBRA (3 s.h.)
Basic properties of groups, rings, and fields, including
elements of set theory and polynomials. Prerequisites: MAT
232 and 260 or permission of the instructor. This course
is offered as needed.
MAT 320 PROBABILITY AND STATISTICS (3
s.h.)
Probability and statistics, including probability distributions,
random variables, stochastic processes, estimation of parameters,
hypothesis testing, and regression analysis. Prerequisites:
MAT 220, 232 and 250. This course is offered as needed.
MAT 411 DIFFERENTIAL EQUATIONS (3 s.h.)
Ordinary differential equations of the first and second
order with applications in geometry and physics. Prerequisite:
MAT 309 or permission of the instructor. This course is
offered as needed.
MAT 412 THEORY OF COMPUTABILITY (3 s.h.)
The concept of effective computability, Turing machines,
primitive recursive functions, Godel numbering, universal
Turing machines, and undecidable predicates. Prerequisites:
MAT 251, CSC 325. Cross listed as CSC 412. This course is
offered as needed.
EDU 414 METHODS OF TEACHING MATHEMATICS
IN THE MIDDLE/SECONDARY SCHOOL (3 s.h.)
A combination of lecture and laboratory using materials
and procedures appropriate for the teaching of middle/secondary
school mathematics. For teachers of secondary school mathematics.
See EDU 411-419. Prerequisite: MAT 114. This course is offered
as needed.
MAT 414 ADVANCED CALCULUS I (3 s.h.)
Sets, functions, real numbers, limits, continuity, differentiation,
integration, and sequences of functions. Prerequisite: MAT
310 or permission of the instructor. This course is offered
as needed.
MAT 415 ADVANCED CALCULUS II (3 s.h.)
Fourier series; vector functions and their derivatives;
line and surface integrals; multivariable calculus; implicit
function theorem, and the theories of Gauss, Stokes, and
Green. Prerequisite: MAT 414. This course is offered as
needed.
MAT 485 SPECIAL TOPICS 1-4 s.h.
Advanced students study logic and foundations, algebra,
analysis, geometry, topology, or applied mathematics. Prerequisite:
permission of the department chair. This course is offered
as needed.
MAT 499 INDEPENDENT STUDY IN MATHEMATICS
(TBA)
An opportunity for a well-qualified, upper-division student to engage
in special research in his/her major. Requires approval by the faculty
advisor, the supervising professor, the department chair, and the
school dean before approval by the Vice President for Academic Affairs.
Credit to be determined.
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Department of Mathematics
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