Department of Mathematical Sciences

Course Descriptions

101 College Algebra I 3 Hours
Review of real numbers; arithmetic of whole numbers, fractions, decimals and signed numbers; simple algebraic expressions; linear equations and inequalities in one variable; integral exponents; radicals; fractional exponents; multiplication of algebraic expressions; factoring; fractional expressions; and quadratics.
-Prerequisite: SAT math score of 450 or equivalent.
102 College Algebra II 3 Hours
Algebraic expressions; equations and inequalities; relations and their graphs; introduction to the study of functions including exponential, logarithmic, polynomial and rational functions; and systems of equations.
-Prerequisite: MATH 101 or equivalent.
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: MATH 102 or equivalent.
131 Calculus I 4 Hours
Functions; limits; continuity; concept of the derivative; differentiation of algebraic, rational, exponential, logarithmic and trigonometric functions; Rolle’s Theorem; the Mean Value Theorem; applications of the derivative, including maxima and minima, graphing and optimization. Three hours of lecture and two hours of lab each week.
-Prerequisite: MATH 122 or equivalent.
132 Calculus II 4 Hours
Anti-differentiation; Riemann integration; Fundamental Theorem of Calculus; techniques of integration; applications of integrals, including finding areas and volumes; improper integrals; indeterminate forms and L’Hopital’s Rule; infinite sequences; infinite series; and parametric forms.
-Prerequisite: MATH 131.
210 Discrete Mathematics 3 Hours
A study of mathematical induction and logic, counting, set theory, relations and functions, algorithms, circuits, combinatorics and graph theory.
231 Calculus III 3 Hours
Fundamentals of vectors; vector-valued functions; limits, derivatives and integrals of vector-valued functions; fundamentals of multivariable functions; partial differentiation; chain rule for multivariable functions; extrema of multivariable functions; multiple integrals; cylindrical coordinates, spherical coordinates, vector fields; line integrals; surface integrals; Green’s Theorem; Stoke’s Theorem; and the Divergence Theorem.
-Prerequisite: MATH 132.
232 Differential Equations 3 Hours
Introduction to mathematical modeling with differential equations. First-order differential equations and initial-value problems; graphical solutions via slope fields; numerical solutions via Euler’s method; analytic solutions for separable and linear equations. First-order systems with graphical, analytic and numerical solution techniques. Modeling with first-order systems. Linear systems with graphical and analytic solutions; second-order equations via linear systems. Other topics selected from nonlinear systems, Laplace transforms and advanced numerical methods.
-Prerequisite: MATH 231.
241 Linear Algebra 3 Hours
Systems of equations; matrices; properties of matrices; determinants; vectors and vector spaces; linear independence; basis; dimension; linear transformations; matrix representation of a linear transformation; eigenvalues; eigenvectors.
-Prerequisite: MATH 132.
252 Mathematical Statistics 3 Hours
Probability; Descriptive statistics; sampling distributions; theory of estimation; confidence intervals; hypothesis testing; linear correlation; chi-square.
-Prerequisite: MATH 231.
281 Math for Teachers: Content & Pedagogy 3 Hours
This course is designed to review elementary math content and promote a shift in the focus of the student from learner to instructor. It will act as bridge from previously learned content to current forms of pedagogical approaches which will be necessary for success in the elementary instructional environment. Various modeling techniques, modes of explanation and facets of description will be discussed. Emphasis will be placed on the understanding and creation of a learning community which will promote critical thinking and collaborative problem solving skills.
282 Mathematics for Teachers II 3 Hours
This course is designed to acquaint the student with modern geometry as applied to the elementary school classroom, a study of the metric system and an introduction to probability and statistics.
293 Mathematical Proofs 3 Hours
This course provides an introduction to mathematical logic and proof techniques that are used in higher mathematics. Also covered: equivalence relations, functions, cardinality of sets and numbertheory.
331 Modern Geometry 3 Hours
Historical and formal development of Euclidean and non-Euclidean geometry; role of axiomatic systems; incidence geometry; Hilbert’s axioms; neutral geometry; history of the parallel postulate;philosophical implications.
-Prerequisite: MATH 131, MATH 293.
341 Abstract Algebra 3 Hours
Introduction to the theory of groups and rings. Symmetries; multiplication of symmetries; symmetries using matrices; isometries. Groups; permutation groups; subgroups; cyclic groups; the dihedral groups. Homomorphisms and isomorphisms; cosets and Lagrange’s Theorem; equivalence relations and partitions; the homomorphism theorems; quotient groups; direct and semidirect products. Group actions on sets and finite abelian groups. Rings; polynomial divisibility; integral domains; Euclidean domains; irreducibility.
-Prerequisite: MATH 241, MATH 293.
461 Real Analysis 3 Hours
Rigorous treatment of fundamentals of single variable calculus: limits; continuity; differentiation; convergence of series and sequences; and integration.
-Prerequisites: MATH 231, MATH 241, MATH 293.
481 Independent Study in Mathematics 1-4 Hours
An opportunity for a mathematics major to engage in independent study or research. May be repeated for credit.