Department of Mathematical Sciences

Course Descriptions

070 Pre-Algebra 3 hours
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.
110 Introductory Seminar in Mathematics 1 Hours
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.
111 Basic Probability & Statistics 3 Hours
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.
122 Precalculus & Trigonometry 3 Hours
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.
124 Applied Calculus 3 Hours
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.
131 Calculus I 4 Hours
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
132 Calculus II 4 Hours
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
210 Discrete Mathematics 3 Hours
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
221 Number Theory and History of Mathematics 3 Hours
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
225 Problem Solving Seminar 1-3 Hours
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
231 Calculus III 4 Hours
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, Green’s, Stokes’ and the Divergence Theorems.  Three hours of lecture and three hours of recitation per week.
-Lab: MATH 231
-Prerequisite: MATH 132.
 
232 Differential Equations 3 Hours
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.
242 Linear Algebra and Differential Equations- 4 Hours
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 242L
-Prerequisite: MATH 132.
252 Probability and Statistics 3 Hours
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.
281 Math for Teachers I 3 Hours
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.
282 Mathematics for Teachers II 3 Hours
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
293 Mathematical Theory and Proof-3 Hours
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
301 Preparation for the Actuarial Exams-1 Hour
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
331 Modern Geometry 3 Hours
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.
341 Abstract Algebra 3 Hours
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.
351 Complex Analysis 3 Hours
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.
352 Advanced Statistical Methods 3 Hours
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.
354 Numerical Analysis 3 Hours
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
357 Mathematical Modeling 3 Hours
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.
361 Real Analysis 3 Hours
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.
364 Ordinary and Partial Differential Equations 3 Hours
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
395 Undergraduate Research Experience 1-3 Hours
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
396 Internship 1-3 Hours
Field experience in a selected area of interest related to mathematics, including on-the-job experience and practical training.
-Prerequisite: Permission of instructor
401 Preparation for the Math Subject GRE 1 Hour
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