• Math Courses

Mathematics Courses

For course schedules, instructors, and locations, useCapstone.

MTH 101. Topics in Mathematics

Topics selected from various areas of mathematics such as discrete mathematics, logic, number systems, geometry, probability, and graph theory. The course is designed to give the student an appreciation of mathematics as an integral part of our culture as well as applications to various other disciplines.

Meets general academic requirement G.

MTH 104. Statistical Methods

An introduction to statistical methods, including descriptive statistics, sampling, estimation, hypothesis testing, correlation and regression, and the chi-square distribution. Three meetings and one laboratory per week. Students may not receive credit for both MTH 104 Statistical Methods and MTH 144 Statistical Analysis. Students who have completed MTH 121 Calculus I are required to have the permission of the department.

Meets general academic requirement G

MTH 114. Fundamentals of Mathematics

A study of fundamental mathematical principles underlying the concepts of number and shape. Topics include number systems, number theory, measurement systems, geometry, and functions with emphasis on applications and problem solving. Four meetings per week.

Prerequisite: EDU 101 Foundations of Education

Meets general academic requirement G.

MTH 116. Symmetry & Shape: Introduction to Geometry

An introduction to the geometric concepts underlying elementary mathematics: properties of circles, polygons and polyhedra, measurement systems and indirect measure, scale and proportion, symmetry, congruence, informal Euclidean geometry, geometric constructions, transformational geometry. Applications feature mathematical patterns found in art and nature: the golden ratio, Platonic solids, tessellations in the plane, frieze and wallpaper patterns, scale drawings, 3-D drawing, one- and two- point perspective, and viewing point.

Meets general academic requirement G.

MTH 121. Calculus I

Differentiation of algebraic and transcendental functions, application of the derivative to related rates, maxmin problems, and graphing. Introduction to integration, the Fundamental Theorem of Calculus. Four meetings per week.

Prerequisite: 3.5 years of high school mathematics

Meets general academic requirement G.

MTH 122. Calculus II

A continuation of MTH 121 Calculus I. Applications of the integral, integration techniques, infinite sequences and series, L’Hôpital’s Rule, improper integrals. Four meetings per week.

Prerequisite: MTH 121 Calculus I

Meets general academic requirement G

MTH 144. Statistical Analysis

Fundamental problems and principles of probability, discrete and continuous distributions and random variables, sampling distributions, parameter estimation and confidence intervals, hypothesis testing, regression analysis, analysis of variance, and non-parametric statistics. Students may not receive credit for both MTH 104 Statistical Methods and MTH 144 Statistical Analysis. Three meetings and one laboratory per week.

Prerequisite: MTH 121 Calculus I

Meets general academic requirement G

MTH 210. Transition to Abstract Mathematics

An introduction to abstract mathematical thought with emphasis on understanding and applying definitions, writing arguments to prove valid statements, and providing counterexamples to disprove invalid ones. Topics may include logic, introductory set theory, and elementary number theory, but the focus is on the process of reasoning rather than any particular subject or subdiscipline. It is strongly recommended that mathematics majors complete this course by the end of the sophomore year.

Prerequisite: MTH 122 Calculus II

Meets general academic requirement W

MTH 215. Discrete Structures

Topics from logic, combinatorics, recursion, relations, trees and graphs and finite state automata, computability and algorithm design.

MTH 223. Calculus III

Geometry of the plane and space including vectors and surfaces. Multivariable calculus, including partial derivatives, Taylor’s Theorem in two variables, line and surface integrals, and Green’s Theorem. Four meetings per week.

Prerequisite: MTH 122 Calculus II

MTH 226. Linear Algebra

Matrices and systems of linear equations, determinants, real vector spaces and inner product spaces, linear transformations, eigenvalue problems, applications. Four meetings per week.

Prerequisite: MTH 122 Calculus II

MTH 227. Differential Equations

A study of the theory, methods of solution, and applications of differential equations and systems of differential equations. Topics will include the Laplace Transform, some numerical methods, and applications from the physical sciences and geometry.

Prerequisite: MTH 122 Calculus II

MTH 251. Landmarks of Greek Mathematics (0.5 course unit)

This course examines selected masterpieces of classical mathematics, including Euclid’s Elements, Archimedes’ determination of the surface area of a sphere, Heron’s formula for triangular area, and Ptolemy’s table of chords. Emphasis will be placed on the brilliance of the mathematics and the reverberations of these ideas down to the present age. Does not satisfy a major/minor requirement.

Prerequisite: one course in calculus

MTH 252. Landmarks of Modern Mathematics (0.5 course unit)

This course examines selected mathematical masterpieces from the Renaissance to the dawn of the twentieth century. Theorems to be considered include those of Cardano, Newton, the Bernoullis, Euler, Gauss, and Cantor. Besides the mathematics, the course focuses on the context in which the theorems were discovered and the lives of the discoverers. Offered in alternate years. Does not satisfy a major/minor requirement.

Prerequisite: one course in calculus

MTH 314. Applied Mathematics & Modeling

Models describing physical and economic conditions will be constructed, analyzed, and tested. The computer will be used in model verification. Offered in alternate years.

Prerequisite: MTH 227 Differential Equations

MTH 318. Operations Research

Linear programming, the transportation model, dynamic programming, decision analysis, game theory, and inventory and queuing models. Offered in alternate years.

Prerequisite: MTH 226 Linear Algebra

MTH 326. Abstract Algebra

A study of the algebraic structures of groups, rings, fields, and integral domains. Offered in alternate years.

Prerequisite: MTH 210 Transition to Abstract Mathematics and MTH 226 Linear Algebra

MTH 331. Mathematical Statistics I

Probability, discrete and continuous random variables, the binomial, normal, Poisson, chi-square, t, and F distribution. Offered in alternate years.

Prerequisite: MTH 210 Transition to Abstract Mathematics and MTH 223 Calculus III

MTH 332. Mathematical Statistics II

A continuation of MTH 331 Mathematical Statistics I. Topics will include estimation, hypothesis testing, regression, correlation, and analysis of variance. Offered in alternate years.

Prerequisite: MTH 331 Mathematical Statistics I

MTH 334. Numerical Analysis

The numerical solutions of equations, numerical integration and differentiation, systems of equations, curve fitting, numerical solutions of ordinary and partial differential equations. Offered in alternate years.

Prerequisite: MTH 226 Linear Algebra and CSI 110 Computer Science I

MTH 337. Mathematical Analysis

Rigorous treatment of the real number system and functions of one variable, the Riemann integral, and proof of the Fundamental Theorem of Calculus. Offered in alternate years.

Prerequisites: MTH 210 Transition to Abstract Mathematics and MTH 223 Calculus III

MTH 342. Advanced Geometry

An axiomatic approach to Euclidean geometry. The exploration of non-Euclidean geometries, including hyperbolic geometry. The study of transformational geometries. Offered in alternate years.

Prerequisite: MTH 210 Transition to Abstract Mathematics

MTH 345. Combinatorics & Graph Theory

This advanced course in discrete mathematics emphasizes counting and finite structures. The material is taken from three broad areas of combinatorics: counting theory, graph theory, and design theory. Topics include fundamental laws of counting, generating functions, recursion, partitions, existence and optimization problems, graphs and digraphs, networks, the relationships between graphical invariants, lattices, simple game theory, Latin squares, design and coding theory, and Ramsey Theory.

Prerequisite: MTH 210 Transition to Abstract Mathematics