Mathematics

Mathematicians with deductive reasoning and quantitative analysis skills are highly sought after in the business world. The Nichols mathematics program equips you with the skills and knowledge to lead in virtually any industry, including:

  • Insurance
  • Education
  • Healthcare
  • Financial services
  • Government agencies
  • Emerging technology

You’ll learn the mathematical theories, computational techniques, and algorithms that mathematicians use to solve economic, scientific, engineering, physics and business problems.

You may also enroll in the educator preparation program and apply for a license to teach mathematics at the middle and secondary school levels.
A strong background in mathematics is also necessary for research in many areas of computer science, social science and engineering.

Whatever industry you want to work in, our mathematics program will prepare you to lead.

Courses & Requirements

Mathematics majors must complete 120 credit hours (approximately 40 courses), including courses from the foundation and liberal arts core curricula, focused electives and these required specialization courses:

Required Courses

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.

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.

Prerequisites: MATH-117, MATH-122 and MATH-190.

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.

Prerequisite: MATH-191. MATH-190 Required

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.

Prerequisite: MATH-191. MATH-190 Required

Electives

MATH 362 Foundations Higher Mathematics

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

Prerequisite: MATH-191. MATH-190 Required

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.

Prerequisite: MATH-191. MATH-190 Required

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.

Prerequisites: MATH-191, and MATH-362. MATH-191 Required

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.

Prerequisite: MATH-191. MATH-190 Required

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.

Prerequisite: MATH-190.

Faculty

  • Nicholas Gorgievski

    Nicholas Gorgievski
    Professor of Mathematics / Mathematics Program Chair

  • Mark Naigles

    Mark Naigles
    Associate Professor of Mathematics

  • Jason Price

    Jason Price
    Associate Dean for Liberal Arts / Associate Professor of Mathematics