### Required Courses

#### MATH-215 Statistics I

A first course in probability and statistics covering descriptive statistics, statistical graphs, probability, probability distributions, and sampling, and hypothesis testing. Elements of regression and correlation are potential topics. Statistical tables and the Microsoft Excel software package will be used throughout the course.

#### 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.

#### 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.

#### MATH-348 Linear Algebra

A standard course in linear algebra covering linear systems and their solutions, matrices, determinants, vector spaces, linear transformations, quadratic forms, rank, eigenvalues, and eigenvectors.

#### MATH-442 Abstract Algebra

This course is designed to introduce students to basic algebraic structures. Topics include sets, the integers and their properties, groups, rings, integral domains, and fields.

### Electives

#### MATH-362 Foundations Higher Mathematics

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

#### 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.

#### 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.

#### MATH-441 College Geometry

This course involves a formal study of the concepts of geometry, the development of Euclidean geometry, and an introduction to non-Euclidean geometries.

#### MATH-470 Topics in Mathematics

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

#### MATH-351 Regression Analysis

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

#### 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.