- A review of the basic arithmetic operations, numeration systems, fractions, decimals and percents, problem solving, variable expressions a polynomials, and equations and graphing. (Required for all students who are placed at Level 1 by the mathematics placement exam.)
*Credit hours do not count toward graduation*. - A topical seminar course for freshman mathematics and mathematics education majors. An overview of mathematics and its various branches, as well as the integration of the Christian faith with mathematics, are discussed.
- A general studies course in statistics covering such subjects as averages, variability, standard scores, normal curves, correlation, linear regression, probability, sampling, hypothesis testingand chi-square.

-Prerequisite: MATH 090 or proficiency. - Trigonometric functions and identities; laws of sine and cosine; analytical geometry; in-depth study of functions; and introduction to the concept of a limit.

-Prerequisite: MATH 102 or equivalent. - One semester of differential and integral calculus with emphasis on graphical, numerical and descriptive techniques. Topics from multivariable calculus and differential equations. Applications to economics, life sciences, physical sciences and other areas of student interest are emphasized throughout via student projects and presentations.

-Prerequisite: Two years of high school algebra or equivalent. - The first course in a two-course sequence on single-variable calculus.Topics include: limits; continuity; the concept of the derivative; differentiation of algebraic and transcendental functions; applications of differentiation; antidifferentiation; Riemann integration; the Fundamental Theorem of Calculus; and introductory integration techniques. Three hours of lecture and three hours of recitation per week.

-Prerequisite: MATH 122 or equivalent.

-Lab: Math 131L - A continuation of MATH 131. Topics include: techniques of integration; applications of integration; infinite sequences; infinite series, including tests for series convergence; power series; Taylor series; introductory polar coordinates; first-order differential equations and initial-value problems, including graphical and numerical methods, and analytical solutions of separable and linear equations. Three hours of and three hours of recitation per week.

-Prerequisite: MATH 131.

-Lab: MATH 132L - This course introduces the student to discrete variables and their various applications. Selected topics may include: counting systems; cardinality; combinatorics; discrete and continuous variables; graph theory; decision theory; recursion; and cryptography.

-Prerequisite: MATH 131 - Survey of the historical development of mathematics from antiquity through the
early twentieth century, with special
emphasis on classic mathematical
gems from geometry and number theory.
Particular focus will be given to the
women of mathematics. Mathematical
topics will include: prime factorization
and the distribution of primes; congruences
and residue class arithmetic;
quadratic residues and Gauss reciprocity;
primality testing and pseudoprimes
with applications to cryptography.

-Prerequisite: MATH 132 - Solve published problems from sources
such as The American Mathematical
Monthly, Mathematics Magazine, or
Math Horizons, and submit solutions for
publication. Various topics are
addressed, and supplemental problems
are provided. May be repeated for a
total of 6 credit hours.

-Prerequisite: MATH 293 - A multivariable calculus course. Topics include: vectors and their properties in two and three dimensions; multivariable functions, including recognition of surfaces, limits and continuity, partial differentiation, optimization, multiple integrals, polar, cylindrical and spherical coordinates, vector fields, line and surface integrals, Greenâ€™s, Stokesâ€™ and the Divergence Theorems. Three hours of lecture and three hours of recitation per week.

-Lab: MATH 231

-Prerequisite: MATH 132. - Introductory course in ordinary differential equations. Topics include: First order differential equations, including applications; second and higher order linear equations; series solutions; Laplace transforms; numerical methods; systems of linear equations; and various nonlinear differential equations.

-Prerequisite: MATH 231. - An introductory course in linear algebra and ordinary differential equations. Topics include: systems of equations, matrix algebra, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, first order differential equations and applications, second and higher order linear equations, Laplace transforms, series solutions and numerical methods, and systems of linear equations. Three hours of lecture and three hours of recitation per week

-Lab: MATH 242LPrerequisite: MATH 132.

- - A calculus-based introductory course in probability and statistics. Topics include: combinatorics, probability, discrete and continuous distributions, joint distributions, statistical inference, point and interval estimation, and hypothesis testing..

-Prerequisite: MATH 231. - This course is the first in a two-part course sequence designed to review
elementary and prerequisite math content
in preparation for ELED 425.
Topics covered include: functions,
sequences, sets, number systems and
number sense, whole numbers, integers,
rational numbers, and real numbers.
Emphasis will be placed on conceptual
understanding, as well as the
creation of a learning community which
will promote critical thinking and collaborative
problem-solving skills. This course is also intended to prepare students to pass the math portion of the
Praxis 1 exam.

-Prerequisite: COL 070 or proficiency. - A continuation of the content from
MATH 281. Topics covered include:
Euclidean and coordinate geometry,
measurement and the metric system,
and an introduction to probability and
statistics. Appropriate technological
applications will be integrated in the
course.

-Prerequisite: MATH 281 - This course provides an introduction to mathematical discover, conjecture, proof, and writing. The techniques covered are foundational to higher-level mathematics. Additional selected topics include: elementary number theory, relations, functions, and cardinality.

-Prerequisite: MATH 131 - A course to prepare students to take the
first and second Actuarial Examinations.
May be repeated for up to 3 hours of
credit.

-Prerequisite: MATH 252 - A course on Euclidean and non-Euclidean geometries. Topics include: axiomatic systems (and their philosophical implications), historical development of Euclidean and non-Euclidean geometries, and fractals.

-Prerequisite: MATH 293. - An introductory course in the theory of groups, rings, and fields. Topics include: groups, subgroups, permutation groups, factor groups, homomorphisms and isomorphisms; rings, integral domains, and ideals; fields and their extensions; and applications to number theory, solving polynomial equations and geometry.

-Prerequisite: MATH 241, MATH 293. - An introductory course on functions of a
complex variable. Topics include: algebra
and geometry of complex numbers,
analytic functions, complex integration
and Cauchy's integral theorem, power
series, Laurent series, singularities, and
residue theory with applications to definite
integration.

-Prerequisite: MATH 231, MATH 293. - A continuation of MATH 252. Topics may
include: hypothesis testing, Bayesian
estimation, asymptotic distribution of
estimators, linear regression and statistical
techniques developed from leastsquare
methods, multiple regression, analysis of variance

-Prerequisite: MATH 252. - Topics include: programming for numerical
calculations, rounding error, approximation
and interpolation, numerical differentiation
and integration, and numerical
solutions of nonlinear equations and
ordinary differential equations.
Computers are used for numerical calculations.

-Prequisites: MATH 231, MATH 242, and ITSC 121 - Topics include: programming for numerical
calculations, rounding error, approximation
and interpolation, numerical differentiation
and integration, and numerical
solutions of nonlinear equations and
ordinary differential equations.
Computers are used for numerical calculations.

-Prequisites: MATH 241, ITSC 121. - A rigorous treatment of the real number system. Topics include: sequences, series, limits, continuity, uniform continuity, uniform convergence, differentiation, Riemann integration, and power series. Advanced topics may include metric spaces.

-Prerequisites: MATH 132, MATH 293. - A continuation of differential equations
introduced in MATH 242. Topics include:
existence and uniqueness of solutions,
linear systems, partial differential equations,
Fourier series, boundary value
problems, and Bessel functions.

-Prerequisites: MATH 242 - Supervised experience in undergraduate
research. The experience may take
place at an REU or on campus with a
professor, and should culminate in a
written summary of the progress or
results.

-Prerequisite: Permission of instructor - Field experience in a selected area of
interest related to mathematics, including
on-the-job experience and practical
training.

-Prerequisite: Permission of instructor - A course to prepare students to take the
Mathematics Subject GRE Examination
in preparation for entering graduate
school in mathematics.

-Prerequisite: MATH 341 or MATH 361

# Academic Programs

Academic Departments / Mathematical Sciences / Programs / Course Descriptions