# Course Descriptions - Mathematics

**MATH 117 COLLEGE MATHEMATICS**

Designed for students with three years of high school mathematics, which includes two years of high school algebra or its equivalent. Topics include real numbers, linear equations, functions, slope, equations of lines, systems of equations, quadratic equations, exponential and logarithmic functions. Practical applications of the material will be stressed.

Prerequisite: Three years of high school Mathematics or its equivalent 3 Hours, 1 Semester

**MATH 122 MATHEMATICAL BUSINESS ANALYSIS**

This course is designed for students with four years of high school mathematics, including a course in precalculus. Topics include linear, polynomial, rational, exponential and logarithmic functions, linear regression, limits, continuity and rate of change. The second part of the course will introduce the powerful notion of derivative and develop its practical applications.

Prerequisite: MATH 117, its equivalent, or four years of high school Mathematics 3 Hours, 1 Semester

**MATH 190 CALCULUS I**

A standard course in differential calculus. Topics include limits, velocity, and differentiation. Applications include related rates, linear approximations, curve sketching, and optimization. Practical applications of the material will be stressed.

Prerequisite: MATH 122, its equivalent, or four years of high school Mathematics including Precalculus 3 Hours, 1 Semester

**MATH 191 CALCULUS II**

A standard course in integral calculus. Topics include methods of integration, applications of integration, areas, volumes, and surface areas. Exponential, logarithmic, and trigonometric functions will be utilized. Practical applications of the material will be stressed.

Prerequisite: MATH 190 or its equivalent 3 Hours, 1 Semester

**MATH 215 STATISTICS I**

A first course in probability and statistics covering descriptive statistics, correlation, linear regression, probability, probability distributions, confidence intervals and hypothesis testing. Practical applications using the Microsoft Excel software package will be stressed.

Prerequisite: MATH 117 or MATH 122 or MATH 190

3 Hours, 1 Semester

**MATH 229 CALCULUS III**

A third course in calculus, covering infinite sequences, series, curves, surfaces in spaces, vectors, functions of several variables, and multiple integrals. Arc length, curvature, partial derivatives, Lagrange multipliers, and the introduction to differential equations are also potential topics.

Prerequisite: MATH 191 3 Hours, 1 Semester

**MATH 348 LINEAR ALGEBRA**

A traditional course in linear algebra covering systems of linear equations and their solutions, Gaussian elimination, linear independence, linear transformations, matrices, determinants, vector spaces, eigenvectors and eigenvalues.

3 Hours, 1 Semester

MATH 351 Regression analysis

This course provides an introduction to regression including: simple linear regression, multiple regression, model building, and variable screening methods.

Prerequisite: MATH 215 or its equivalent 3 Hours, 1 Semester

**MATH 362 FOUNDATIONS OF HIGHER MATHEMATICS**

Topics will include propositional logic, predicates and proofs, set theory, mathematical induction, number theory, relations and functions.

3 Hours, 1 Semester

**MATH 366 Number theory**

This course will serve as an investigation into the properties of the natural numbers 1,2,3, …. The natural numbers satisfy a multitude of beautiful patterns and relationships. The goal of this course will be to study these patterns and attempt to formulate some of our own. The ideal student will be interested in experimenting with paper and pencil and be open to learning how to rigorously demonstrate their findings in proofs. Topics to be covered will include: prime numbers, congruences, quadratic reciprocity, Diophantine equations, and as time permits, such topics as cryptography and continued fractions.

Prerequisite: MATH 190 3 Hours, 1 Semester

**MATH 395 DISCRETE MATHEMATICS**

A first course in discrete mathematics intended to present both theory and applications from areas such as networking and computer science. Topics will include sets, relations, mathematical induction, graphs, trees, matchings, network flows, combinatorics, and recurrence relations.

3 Hours, 1 Semester

**MATH 440 REAL ANALYSIS**

In this course, students will develop a deeper understanding and appreciation of the underlying theory of numbers, sets, and calculus. Formal proofs will be introduced and emphasized. Topics include sets and functions, mathematical induction, structure of numbers, the completeness axiom, countability, sequences, convergence, the Bolzano-Weierstrass Theorem, Cauchy sequences, continuity, limits, differentiation, mean value theorem, and Riemann integration.

Prerequisite: MATH 362 3 Hours, 1 Semester

**MATH 441 COLLEGE GEOMETRY**

This course treats the historical and axiomatic developments of Euclidean geometry, and provides an introduction to non-Euclidean geometries. Topics include the geometry of ancient civilizations, the complex numbers, centers of triangles, straightedge and compass construction, incidence geometry, Mobius transformations and regular polyhedra.

3 Hours, 1 Semester

**MATH 442 ABSTRACT ALGEBRA**

This course is designed to introduce students to basic algebraic structures, especially groups and rings. Techniques of proof will be stressed. Topics include binary operations, relations, mathematical induction, the Euclidean algorithm, congruence classes, cyclic groups, finite permutations groups, homomorphisms, Cayley’s theorem, quotient groups and rings.

3 Hours, 1 Semester

**MATH 470 TOPICS IN MATHEMATICS**

Possible areas of study are numerical analysis, the history of mathematics, advanced probability, techniques in mathematical problem solving, interest theory, and actuarial exam preparation. There are other topics that will be considered depending on student need and interest.

Prerequisite: Will vary depending on the content of the course

3 Hours, 1 Semester