Mathematics
(MATH)
001—Introductory Algebra, 3 Cr.
Real
number system, order of operations. Algebraic problem solving, solving linear
equations. Cartesian coordinate system, graphs of equations. Exponents and
radicals. Factoring polynomials, solving equations by factoring. A grade of C
or higher is required to take 111 or 130. Credit is not applicable towards
graduation.
090—Pre-Algebra with Study Skills and
Learning Strategies, 1.5 Cr.
Math attitude, study habits and
preparation for tests. Math timeline and biography. Math learning style. Time management and scheduling. Math anxiety.
Whole numbers, integers and introduction to algebra. Fractions and equations, applications of
fractions and equations. Decimals, percents, ratio, rate and proportion. Order
of operations. Introduction to statistics. This is a half-semester course.
Credits not applicable toward graduation. Graded CR/NC.
091—Introductory Algebra, 1.5 Cr.
Real number system, properties and
order of operations. Area and perimeter of rectangles, areas, and circles.
Algebraic problem solving, solving linear equations and inequalities. Cartesian
coordinate system, graphing linear equations and inequalities in two variables.
Systems of linear equations. Exponents and radicals. Factoring polynomials,
algebra of rational expressions, solving equations by factoring. This is a half-semester
course. Credits not applicable toward graduation.
111—Intermediate Algebra, 3 Cr.
This
course builds on the concepts and skills developed in MATH 091, or an
equivalent first-year algebra course, and prepares students for MATH 112
(College Algebra) or 113 (Trigonometry.) It covers linear equations and inequalities,
graphs and functions, system of equations and inequalities, polynomials and
factoring, rational expressions, radicals and complex number, and quadratic
functions and equations. Prerequisite: acceptable placement score or grade of C
or higher in 091.
112—College Algebra, 3 Cr.
This course builds on the concepts and
skills developed in MATH 111, or an equivalent second-year Algebra course, and
prepares students for MATH 270 (Managerial Mathematics) or serves as a
co-prerequisite for MATH 220 (Calculus I.) Topics include functions and their
graphs, polynomial and rational functions, exponential and logarithmic
functions, matrices and linear systems, sequences and series. Prerequisite:
acceptable placement score or grade of C or higher in 111.
113—Trigonometry, 3 Cr.
This
course focuses on the concepts and applications of trigonometry. The primary
goal is to prepare students for their calculus course. Topics covered include
the basics of the trigonometric functions and their graphs and applications,
trigonometric identities and equations, the Law of Sines and Law of Cosines,
vectors, complex numbers, conic sections, parametric equations and polar
coordinates. Prerequisite: acceptable placement score or grade of C or higher
in 111.
130—Introductory Statistics, 3 Cr.
An introductory course which deals with
the organization and processing of various types of data, normal and binomial
distributions, estimation theory, hypothesis testing based on the normal
distribution, the t-distribution, the Chi-square distribution, and the
F-distribution, and correlation and regression. Prerequisite: acceptable placement
score or grade of C or higher in 091 or 001.
155—Mathematics: A Way of Thinking,
3 Cr.
An investigation of topics such as the
history of mathematics, number systems, the mathematics of voting, graphing
theory, geometry, logic, probability, and statistics. There is an emphasis
throughout on problem-solving. Prerequisite: acceptable placement score or
grade of C or higher in 091 or 001.
220—Calculus I, 4 Cr.
Limits and continuity. Derivatives and
applications. Differentiation of polynomial, rational, trigonometric,
logarithmic and exponential functions. L’Hopital’s Rule. Prerequisite:
acceptable placement score, or at least three years of high school algebra and
trigonometry with at least a B average, or a grade of C or higher in 112 and
113.
221—Calculus II, 4 Cr.
The integral, Fundamental Theorem of
Calculus, applications of integration, methods of integration. Parametric and
polar functions. Area, volume, arc length, surface area. Offered each spring.
Prerequisite: C or higher in 220.
222—Calculus for the Life Sciences,
4 Cr.
This course is intended to be a
one-semester survey of calculus topics specifically for biology majors. Topics
include limits, continuity, derivatives, integration, and their applications,
particularly to problems related to the life sciences. The emphasis throughout
is more on practical applications and less on theory. Prerequisite: placement
score into 220 or grade of C or higher in 180.
230—Elements of Statistics, 4 Cr.
Probability,
random variables, mathematical expectation, estimation of parameters, tests of
hypotheses, regression, correlation, and analysis of variance are some topics
covered. Computers are heavily used for problem-solving and data analysis.
Prerequisite: acceptable placement score or grade of C or higher in MATH 112.
255—Mathematics for Elementary and
Middle School Teachers I, 3 Cr.
Principles,
goals, and methods of teaching elementary school and middle school mathematics.
Topics include set theory, number systems, whole numbers, number theory and
integers and the associated binary operations. Emphasis on problem solving.
Offered every semester. Prerequisite: grade of C or higher in 155 or a Math ACT
score of 22 or higher.
260—Introduction to Abstract
Mathematics, 4 Cr.
Sentential and quantifier logic,
axiomatic systems, and set theory. Emphasis is on the development of
mathematical proofs. Prerequisite: grade of C or higher in 112.
270—Managerial Mathematics, 3 Cr.
Several topics applicable to the study
of business are covered. In particular, the course considers systems of linear
equations and linear programming, the mathematics of finance, and an
introduction to probability. Emphasis in the course is on applications. Prerequisite:
acceptable placement score or grade of C or higher in 112.
320—Calculus III, 4 Cr.
Infinite series. Multivariate calculus:
three-dimensional coordinate system, vectors and applications, partial
differentiation, multiple integration and applications. Offered each fall.
Prerequisite: C or higher in 221. .
321—Differential Equations, 3 Cr.
Ordinary differential equations; series
solutions for linear differential equations; linear operators. Offered as
needed. Prerequisite: grade of C or higher in 221.
330—Probability Theory and
Statistics, 3 Cr.
Theory and application of probability;
discrete and continuous variables; the binomial, Poisson, geometric, normal,
gamma, and chi-square are examples of distributions studied. Offered as needed.
Prerequisite: grade of C or higher in 221; grade of C or higher in 130 or 230.
340—Linear Algebra, 3 Cr.
Vector spaces, matrices, and matrix
operations; determinants; linear transformations. Offered every other year.
Prerequisite: grade of C or higher in 221.
344—Abstract Algebra, 4 Cr.
Study of selected algebraic topics such
as: groups, rings, and fields; ring of integers, polynomials; field of real
numbers, complex numbers; finite fields. Offered every other year.
Prerequisite: grade of C or higher
in 260. W
355—Content and Methods in
Mathematics for Elementary and Middle School Teachers II, 3 Cr.
Principles, goals, and methods for
teaching mathematics in elementary and middle school. Topics include rational
numbers, real numbers, and geometry. Emphasis on problem-solving. Prerequisite:
grade of C or higher in 255; admission to teacher education program.
365—Numerical
Analysis and Modeling, 3 Cr.
The purpose of this course is to
introduce the student to a variety of mathematical models, solution techniques,
and basic programming. A variety of models and solution techniques are covered,
as chosen by the instructor. Basic programming topics include input/output,
if-then statements, loops, and arrays. A variety of numerical techniques are
covered with may include Runge Kutta methods, fixed point iteration, Newton’s
method, and Monte Carlo simulation. Requirements include an
application/modeling project with a written report and class presentation.
Prerequisite: acceptable placement score or grade of C or higher in 221.
420—Real Analysis, 4 Cr.
Study of selected topics from real
variable theory such as: real numbers; topology of the real line; metric
spaces; Euclidean spaces; continuity; differentiation; the Riemann-Stieltjes
integral; series. Offered every other year. Prerequisite: grade of C or higher
in 221 or 260.
450—Geometry, 3 Cr.
Topics
in Euclidean and other geometries; foundations of geometry; place of Euclidean
geometry among other geometries. Offered every other year. Prerequisite: grade
of C or higher in 260.
499—Mathematics Seminar, 1 Cr.
Selected topics of current interest in
mathematics are researched and presented. Students, faculty, and occasional
guest speakers share in the presentations. Offered as needed. Restricted to
students with junior standing or higher. Permission of instructor required. May
be repeated for credit.