Department of Mathematics

Undergraduate Courses

MTH 115. Fundamentals of Algebra
A course designed to prepare students for college-level mathematics. Topics include algebraic operations, the function concept, graphs, products and factoring, exponents and radicals, roots of polynomial and rational functions. Math elective: does not fulfill core requirement. 3 credits.

MTH 133. Finite Mathematics
A course in finite mathematics for students of business and economics. Topics covered include the mathematics of finance, basic probability and counting, applications of counting, descriptive statistics and selected topics. Not open to students who have taken Mth 114. 3 credits.

MTH 134. Brief Calculus
A basic introduction to selected topics from calculus. Topics include elementary functions, rates of change, the derivative and differentiation, with special emphasis on a variety of applications. Not open to students who have taken Mth 211 or Mth 231. 3 credits.

MTH 135. Elementary Functions
An intensive study of algebraic, trigonometric and exponential functions and their inverses. This course is designed to prepare students to take the full calculus sequence. 3 credits.

MTH 143. Contemporary Mathematics
An overview of the fields of mathematical endeavor which are used for the solution of problems which appear in modern society and science. Emphasis is on decison making, critical thinking, and conceptual understanding rather than computation and symbolic manipulation. 3 credits.

MTH 153. Mathematics for Elementary Education
An intensive overview of the conceptual background which underlies the major mathematical themes found in the elementary school curriculum. Concepts to be explored are taken from elementary set theory, number systems and number sense, relationships between fractions and decimals, the use of ratio, intuitive probability and intuitive geometry. These topics will be approached from a problem solving point of view with an emphasis on the appropriate uses of technology. 3 credits.

MTH 163. Applied Discrete Mathematics
An introduction to discrete mathematics and its applications. Topics selected from combinatorics, induction and recursion, logic and proof, algorithms and their analysis, discrete structures, and elements of modern applied algebra. Emphasis on the use of mathematics as a tool to model and solve applied problems from a variety of disciplines. For students interested in computer science and modern applied mathematics. Not open to those who have taken MTH 310. 3 credits.

MTH 231. Calculus I
The principal introduction to the calculus. An extensive exploration of the elementary functions from numerical, graphical, and algebraic points of view. The study of rates of change, derivatives, differential calculus, applications, and introductory concepts of the definite integral. Class meets four hours a week. 4 credits.

MTH 232. Calculus II
The continuation of MTH 231. Topics included area under the curve, antiderivatives, techniques of integration, applications of the definite integral, and numerical techniques. Prerequisite: MTH 231 or equivalent. Class meets four hours a week. 4 credits.

MTH 233. Calculus III
Study of polar coordinates, solid analytic geometry, introduction to vector analysis, partial derivatives, directional derivatives, tangent lines and planes, line integrals, multiple integration, double and triple integrals, cylindrical and spherical coordinates, infinite series. Prerequisites: MTH 231, 232 or approval of department chair based on equivalent preparation. Class meets four hours a week. 4 credits.

MTH 240. Theory of Numbers
A study of the more important properties of the natural number system: divisibility, primes, recurring series, congruences, quadratic residues, Diophantine equations. Prerequisite: MTH 211 or 231. 3 credits.

MTH 250. Linear Algebra
Introduction to vectors, vector fields, vector space Rn, bases of Rn, subspaces, projections, matrices and determinants, linear mappings, matrix representations of linear mappings, matrices and systems of linear equations, rank, existence and uniqueness of solutions, eigenvalues and eigenvectors. Prerequisite: MTH 211 or 231. 3 credits.

MTH 270. Applied Statistics
An introductory course in applied statistics. The basic ideas of analysis of data and statistical inference are introduced. Discrete and continuous probability distributions, sampling distribution, confidence intervals, testing hypotheses, regression, correlation, chi-square tests, and analysis of variance. Applications drawn from economics, management sciences, and life sciences. Use of statistical packages. Prerequisites: MTH 134, MTH 211, MTH 231 or equivalent. 3 credits.

MTH 279. Great Events in Mathematics
A course beyond the core offerings in mathematics for students of the liberal arts and education. A survey of the great events in the development of mathematics. The problems which led to these events, the people who shaped them, the context in which they arose, and their impact on culture. (Course may be applied toward a minor in mathematics but not toward the major.) 3 credits.

MTH 300. Mathematical Mechanics
A course in theoretical mechanics with emphasis on mathematical model building using the calculus. Introductory applications of vector analysis and ordinary differential equations in Newtonian mechanics will be studied to develop physical intuition and mathematical ability simultaneously. Three lectures per week. Same course as PHY 300. Prerequisites: Introductory calculus and PHY 101, or permission of department chair. 3 credits.

MTH 302. Differential Equations
Standard methods of solution of ordinary differential equations of the first order and some special equations of higher order; general theory of linear differential equations; Green's functions; series solutions; applications. Prerequisite: MTH 232 or equivalent. 3 credits.

MTH 310. Discrete Mathematics
Set theory and mathematical logic, combinatorics, binomial and multinomial theorems, graph theory, digraphs and matrices, Boolean algebras, Boolean functions, and switching theory will be covered. Prerequisites: MTH 231, 232 or permission of department chair. 3 credits.

MTH 403. Geometry
A unified study of various types of geometry and their roles in the analytic development of the fundamental properties of generalized geometric spaces. Axiomatics of affine, projective, Euclidean and non-Euclidean geometries. Advantages and disadvantages of synthetic and analytic forms of proof. Prerequisite: Approval of department chair. 3 credits.

MTH 406. Introduction to Topology
An information course aimed at reinforcing fundamental concepts of calculus. Theorems and problems connected with the following items will be discussed and studied: elements of point set theory, neighborhood, connectedness, real line, compactness, denumerability, sequences, continuity, homeomorphism. Prerequisite: Approval of department chair. 3 credits.

MTH 410. Advanced Calculus
A more rigorous development of theoretical calculus with special emphasis on such topics as partial differentiation, differentiability, implicit function theorem, inverse function theorem, infinite series and sequences of functions, uniform convergence and boundedness. Prerequisite: MTH 233. 3 credits.

MTH 411. Vector Analysis
A course in vector analysis stressing the following topics: vector algebra; differentiation of vector functions; line, surface and space integrals, gradient, divergence, curl; the theorems of Gauss, Green and Stokes; vector spaces and transformations; differential K-forms and the generalized Stokes theorem. May not be taken by students who have received credit for MTH 330. Prerequisite: MTH 233 or equivalent. 3 credits.

MTH 415. Complex Variables
An introductory course in functions of a complex variable stressing the following topics: the complex numbers system; differentiation and integration of functions of a complex variable; power series; the calculus of residues; conformal mapping. Prerequisite: MTH 233 or equivalent. 3 credits.

MTH 421. Abstract Algebra I
Binary operations; groups; subgroups; permutations; cyclic groups; direct products; cosets; normal subgroups; factor groups; Homomorphisms and Isomorphisms. Prerequisite: Approval of department chair. 3 credits.

MTH 422. Abstract Algebra II
A continuation of MTH 421 covering the following topics: rings; integral domains; fields; ideals; polynomials; homomorphisms, isomorphisms, and automorphisms; the fundamental theorem of algebra. Approval of department chair. 3 credits.

MTH 432. Probability and Statistics I
An overview of probability and statistics. Experiments, sample spaces, random variables, probability measures and distributions, combinatorics, expectation, data collection and analysis, confidence intervals. Prerequisite: MTH 233. 3 credits.

MTH 433. Probability and Statistics II
A rigorous development and extension of the topics in MTH 432. Tests of hypothesis, regression, analysis of variance, multivariate distributions, nonparametric methods. Prerequisite: MTH 432. 3 credits.

MTH 440. History and Foundations of Mathematics
Evolution of mathematics as an abstract speculative science. A survey of the outstanding contributions to the development of mathematics; the hypothetical nature of mathematical truths; examination of some of the important postulational systems of modern geometries and algebras; the role of symbolic logic and set theory in the modern structure of mathematics. Capstone experience. Prerequisite: Approval of department chair. 3 credits.

MTH 441. Mathematical Modeling
This course explores the process of constructing and implementing mathematical models for a large variety of situations. Models from the physical, life and social sciences will be examined using deterministic and probabalistic methods, both continuous and discrete. A strong emphasis will be placed on independent and cooperative work and the presentation of results in oral and written form. Capstone experience in applied mathematics. Prerequisites: MTH 302, MTH 310, MTH 270 or MTH 433, CIS 201. 3 credits.

MTH 451, 453. Senior Reading Course
Independent reading course in mathematics. Weekly papers and a final examination will be required. Prerequisites: Senior standing and approval of department chair. 1, 2 or 3 credits.

MTH 491. Special Topics in Mathematics
This course explores selected topics in mathematics. May be taken more than once for credit. Prerequisite: Permission of the department chair. 3 credits.

Back to Top