# Undergraduate Mathematics Courses

**MAT 95 Elementary Algebra **Linear equations, polynomials, straight lines, graphing, exponents, and word problems.
Graphing calculator approved by the instructor is required. Credits count toward the
calculation of the student's GPA but not toward graduation. 3 credits.

**MAT 100 Intermediate Algebra **

Solutions to linear equations and inequalities, polynomials, quadratic equations,
exponential equations, graphing, rational and radical expressions, and functions.
Graphing calculator approved by the instructor is required. Does not satisfy the University
Requirement in mathematics. Prerequisite : C- or better in MAT 95 or appropriate mathematics
placement. 3 credits.

**MAT 102 Intermediate Algebra (Extended)**

Solutions to linear equations and inequalities, polynomials, quadratic equations,
exponential equations, graphing, rational and radical expressions, and functions.
Graphing calculator approved by the instructor is required. Does not satisfy the University
Requirement in mathematics. Prerequisite : MAT 95 or eligible for MAT 100 but wishing
for a slow-paced course or appropriate mathematics placement. 3 credits.

**MAT 103 Mathematics for Liberal Arts **

Intended for the student whose major field of study requires no specific mathematical
preparation. This course examines logical structures, patterns, and methods of abstraction
as they occur in a variety of basic mathematical topics, such as set theory, number
theory, algebraic structures, probability, and geometric axiom systems. Some historical
aspects of mathematics are considered. Prerequisite: MAT 100 or 102, or appropriate
mathematics placement. 3 credits.

**MAT 105 Mathematics for Elementary Education I **

Problem solving, mathematical reasoning, sets, whole numbers, numeration systems,
number theory and integers. Required of all students in an elementary school certification
program. Does not satisfy the Liberal Education Program Quantitative Reasoning requirement.
Prerequisite : MAT 100 or 102, or satisfactory score on the placement exam. 3 credits.

**MAT 106 Mathematics for Elementary Education II **

Geometry, measurement, rational numbers, irrational numbers, ratio, proportion, percent,
problem solving, mathematical reasoning and connections, probability and statistics.
Required of all students in an elementary school certification program. Prerequisite:
"C-" or better in MAT 105. 3 credits.

**MAT 107 Elementary Statistics **

Topics include measures of central tendency and measures of variation; elements of
probability; random variables; introduction to estimation and hypothesis testing;
linear regression analysis. Graphing calculator approved by the instructor is required.
Prerequisite: MAT 100 or MAT 102, or appropriate mathematics placement. 3 credits.

**MAT 108 Mathematics for the Natural Sciences **

Elementary mathematical modeling using linear functions, exponential functions, and
power functions. Additional topics include logarithms, curve sketching, and curve
fitting. Examples from the natural sciences. Graphing calculator approved by the instructor
is required. Prerequisite: MAT 100 or MAT 102 with a grade C- or better, or appropriate
mathematics placement. 3 credits.

**MAT 120 College Algebra **

Algebraic problem solving and quantitative reasoning skills needed for business and
social science majors; equations and inequalities in one variable; linear, quadratic,
exponential, and logarithmic functions; systems of linear equations in two variables.
Graphing calculator approved by the instructor is required. Prerequisite: C- or better
in MAT 100 or MAT 102, or appropriate mathematics placement. 3 credits.

**MAT 122 Precalculus **

Functions and their graphs, polynomial functions and their zeros, exponential and
logarithmic functions, trigonometric functions, and analytic trigonometry. Function
modeling of data and problems from the sciences. Graphing calculator approved by the
instructor is required. Prerequisite: C- or better in MAT 100 or MAT 102, or appropriate
mathematics placement. 4 credits.

**MAT 124 Quantitative Mathematics **

Elementary set theory, permutations and combinations, probability and probability
functions, probability distributions, systems or linear equations and matrices, systems
of linear inequalities. Applications in economics and business stressed. Prerequisite:
MAT 120 or appropriate mathematics placement. 3 credits.

**MAT 139 Short course in Calculus for Social Sciences **

A one-semester course emphasizing techniques and applications for social science
and business students; functions and models, the derivative, exponential and logarithmic
functions, integration. Graphing calculator approved by the instructor is required.
Prerequisite: C- or better in MAT 120 or MAT 122, or appropriate mathematics placement.
3 credits.

**MAT 150 Calculus I **

Functions, limits, differentiation of algebraic and trigonometric, exponential, and
logarithmic functions with applications, indeterminate forms, elementary integrations,
Reimann sums. Graphing calculator approved by the instructor is required. Prerequisite:
C- or better in MAT 122, or appropriate mathematics placement. 4 credits.

**MAT 151 Calculus II **

Continuation of MAT 150. Calculus of inverse trigonometric functions, techniques,
and applications of integration, numerical integration, improper integrals, integration
with polar coordinates, parametric curves, infinite sequences and series, power series,
Taylor's formula, vectors in two and three dimensions. Graphing calculator approved
by the instructor is required. Prerequisite: C- or better in MAT 150. 4 credits.

**MAT 178 Elementary Discrete Mathematics **

Set theory, logic, methods of proof, relations and functions, mathematical induction,
recursion, graph theory, and algorithms. Prerequisite: MAT 120 or 122, and one of
CSC 102, 152. 3 credits.

**MAT 221 Intermediate Applied Statistics**

A treatment of statistics concentrating on techniques used in science and industry.
Topics include probability, sampling distributions, estimation, hypothesis testing,
regression analysis, and correlation. Use of appropriate calculator is required. Prerequisite:
MAT 120 or 122 or appropriate mathematics placement. MAT 139 or 150 recommended. 4
credits.

**MAT 245 Differential Equations**

Study of ordinary differential equations. Thorough investigation of first order equations.
Additionally second order linear equations with constant coefficients, systems of
differential equations, Laplace transforms, and numerical methods. Prerequisite: C-
or better in MAT 151. 3 credits.

**MAT 250 Foundation of Mathematics : An Introduction **

A bridge between the calculus and upper level mathematics courses. Logic, sets, relations,
functions, methods of proof. Prerequisite: C- or better in MAT 151. 3 credits.

**MAT 252 Calculus III **

Continuation of MAT 151. Vector-valued functions, three dimensional geometry, functions
of several variables, partial differentiation with applications, double and triple
integrals with applications, vector calculus. Graphing calculator approved by the
instructor is required. Prerequisite: C- or better in MAT 151. 4 credits.

**MAT 260 Geometry and the Arts **

The purpose of the course is to provide students with an adequate geometric background
allowing them to understand basic Euclidean geometry. The course will enable students
with basic tools for geometric reasoning and proof and will promote their geometric
thinking skills. Throughout the course, students will explore and appreciate the use
of geometry in the arts. They will identify, analyze, replicate and produce artwork
using geometric transformations. Prerequisite for students in LEP: Tier 1-Critical
Thinking and MAT 103 or higher. Prerequisite for students who are not in LEP: MAT
103 or higher. 3 credits.

**MAT 298 Special Topics in Mathematics **

Examination of developments, issues, and/or creative work in the field of mathematics.
1-6 credits.

**MAT 300 History of Mathematics**

History of mathematics from earliest days to the discovery of calculus, the proliferation
of mathematics in modern times, and the implications of these developments for the
present day. Prerequisite: MAT 139 or 150. 3 credits.

**MAT 320 Probability and Statistics I**

Introduction to probability and statistics, probability axioms, conditional probability,
probability distributions, random variables, probability densities, multivariable
distributions and densities, sampling distributions, central limit theorem, inferences
concerning the mean, type I and type II errors, inferences concerning variances, estimation
of variances, inferences concerning proportions, analysis of frequency tables, goodness
of fit, regression. Prerequisite: C- or better in both MAT 250 and 252. 4 credits.

**MAT 321 Mathematical Statistics**

Mathematical development of sampling distributions, estimation of parameters, confidence
intervals, hypothesis testing, introduction to nonparametric methods. Prerequisite:
MAT 320. 3 credits.

**MAT 322 Numerical Analysis I **

Topics include approximate solutions of equatons, polynomial approximations of functions,
interpolation, numerical integration and their corresponding techniques of error analysis.
Computers and calculators are used. Prerequisites: CSC 152 and C- or better in MAT
151. 4 credits.

**MAT 325 Design of Experiments**

Fundamental concepts in the design of experiments; review of statistical inference,
completely randomized designs, randomized block designs, Latin Square designs, factorial
experiments, confounding, and fractional replications. Prerequisites: MAT 221 or MAT
320. 3 credits.

**MAT 326 Regression Analysis**

Model building and analysis focusing on regression. Topics include method of least
squares, ANOVA, model assumptions, interferences about parameters, residual analysis,
model adequacy, dummy variables, non-linear terms, pitfalls, and limitations. Prerequisites:
MAT 320 or MAT 221. 3 credits.

**MAT 360 Foundations of Geometry **

Introduction to the geometries of Bolyai-Lobachevsky and Riemann and their mathematical
significance, critique of Euclid, axiomatic approach to geometry with modern standards
of rigor, introduction to metamathematics. Prerequisite: C- or better in MAT 250.
3 credits.

**MAT 370 Number Thoery**

Introduction to mathematical reasoning and rigor. Prime numbers, divisibility, the
Fundamental Theorem of Arithmetic, congruencies, and modular arithmetic, fundamental
number theoretic functions, and an introduction to Diophantine equations. Prerequisites:
MAT 178 or 250. 3 credits.

**MAT 372 Linear Algebra **

Course emphasizes matrices, systems of linear equations, vector spaces, elementary
properties of linear transformation, eigenvalues, and applications. Prerequisites:
C- or better in MAT 150 and corequisite of MAT 151. 3 credits.

**MAT 375 Abstract Algebra I **

Introduction to the study of algebraic structures. Topics include binary operations,
abstract groups, cyclic and permutation groups, homomorphisms, isomorphisms, normal
subgroups, quotient groups, and a brief introduction to rings and fields. Prerequisites:
C- or better in MAT 250 and C- or better in MAT 372. 3 credits.

**MAT 376 Abstract Algebra II **

Study of rings, and fields. Topics include rings, ideals, homomorphisms, polynomial
rings, integral domains, divisibility, irreducibility criteria, field extensions,
finite fields, geometric constructions and elements of Galois Theory. Prerequisite:
MAT 375. 3 credits.

**MAT 378 Discrete Mathematics **

Rigorous introduction to the basic elements of discrete mathematics; recursion, combinatorics,
and graph theory. Prerequisites: CSC 152, C- or better in MAT 151, and C- or better
in MAT 250 or 178. 3 credits.

**MAT 398 Special Topics in Mathematics**

Examination of developments, issues and/or creative work in the field of mathematics.
Prerequisite: departmental permission. 1-6 credits.

**MAT 405 Elementary Mathematics from an Advanced Standpoint **

An examination of the theoretical bases for fundamental mathematics topics which
are normally taught in secondary school. Graphing calculator approved by the instructor
is required. Prerequisites: junior or senior status and mathematics major. 3 credits.

**MAT 450 Analysis**

Theoretical foundations of functions of one real variable: limits, continuity, differentiability,
Riemann integral. Prerequisite: C- or better in both MAT 250 and 252. 3 credits.

**MAT 480 Topology**

Metric spaces and fundamental concepts, topological spaces, subspaces and product
spaces, countability properties, separation properties, compactness and connectedness.
Prerequisites: C- or better in both MAT 250 and 372. 3 credits.

**MAT 488 Seminar in Mathematical Modeling **

The process of constructing and using mathematical models. Investigations focus on
deterministic, probabilistic, and axiomatic models in the physical, social, and life
sciences. Emphasis on independent work and on student written and oral presentations.
Prerequisites: MAT 320, CSC 152, and C- or better in both MAT 252 and 372. 3 credits.

**MAT 490 Teaching Mathematics in the Secondary School **

Methods of teaching mathematics grades 7-12. Lesson and unit planning, classroom management, learning
styles, tasks, assessment, incorporating technology, state and national standards.
This course has a required field experience component. For secondary certification
candidates only. Prerequisite(s): Departmental permission. 3 credits.

**MAT 494 Student Teaching--Mathematics **

Guided observation and supervised student teaching in grades 7-12 in cooperating
schools. Ten-week course. Prerequisite: MAT 490. 8 credits.

**MAT 496 Service Learning for Mathematics Education **

Student teachers design, analyze, and reflect on teaching techniques to be used in
the field. Student teachers also perform case studies that encompass and address various
issues and demonstrate positive impact on the learning of their secondary students. This
course is taken concurrently with MAT 494, Student Teaching (Mathematics). Prerequisite(s): Departmental
permission. 3 credits.

**MAT 497 Internship **

A supervised internship offering practical business, industry or government experience
which relates to the students specialization. Prerequisites: senior status in the
B.S. degree program in Applications of Mathematics, mathematics GPA of 2.7, overall
GPA of 2.5 and departmental permission. 10 to 20 hours per week. 3 to 6 credits.

**MAT 498 Seminar in Mathematics **

Student presentation of selected topics in advanced mathematics. Prerequisite: Departmental
permission. 3 credits.

**MAT 499 Independent Study **

Provides properly qualified students with an opportunity for independent study and
careful discussion from an advanced standpoint of selected topics in undergraduate
mathematics. Prerequisite: departmental permission. 1-4 credits.