Mathematics Course Offerings
Math 105 - Concepts in Elementary Mathematics (3 credits)
Prerequisite or corequisite: Education 200. This course examines at an advanced level mathematics topics taught in the elementary grades, including sets, computation with real numbers, number theory, statistics, probability, measurement, and geometry. Designed only for those students who are certifying to teach in the elementary grades.
Math 110 - Finite Mathematics with Applications (3 credits)
Includes topics such as sets, logic, probability, statistics, games, computing, matrices, graphs, counting, and linear programming. Designed for the non-major.
Math 111 - Precalculus (3 credits)
Emphasis on elementary functions including rational, exponential, logarithmic, and trigonometric functions. Designed for students who intend to take calculus.
Math 115 - Introduction to Mathematical Modeling (3 credits)
Introduction to mathematical modeling with examples from population growth, pollution, natural disasters, epidemics, genetics, and patterns in nature. Mathematical topics include linear functions, linear regression, curve fitting, probability models, and difference equations.
Math 121 - Calculus I (3 credits)
First course in calculus. Includes functions, limits, derivatives, and applications. May include some proofs.
Math 122 - Calculus II (3 credits)
Prerequisite: Mathematics 121. Includes antiderivatives, definite integrals and their applications, the fundamental theorem of calculus, derivatives of inverse functions, and techniques of integration. Prospective majors should complete this course before the fall of their sophomore yearyear.
Math 125 - Introduction to Discrete Mathematics (3 credits)
An introduction to topics which may include logic, methods of proof, counting techniques, mathematical induction, relations, functions, and sets. Prospective mathematics majors should take this course during their first year. Also listed as Computer Science 125.
Math 200 - Introduction to Statistics (3 credits)
First course in statistical methods. Includes descriptive and inferential techniques with examples from diverse fields. Topics vary with instructor and may also include regression analysis, ANOVA, and computer applications.
Math 204 - Mathematical Concepts and Methods (4 credits)
Prerequisite: Education 203. Mathematical concepts and methods of teaching for the elementary school. Intended for students preparing for certification to teach grades PreK-6. Significant field experience required. (3 lecture credits, 1 practicum credit)
Math 205 - Selected Topics in Mathematics (3 credits)
Opportunity for additional study of lower level topics. Topics such as intermediate statistics and environmental mathematics or alternative approaches to teaching precalculus or calculus.
Math 207 - History of Mathematics (3 credits)
A concise survey of the historical development of mathematical ideas. Readings of the lives and impact of preeminent mathematicians form the survey's framework. Topics will vary with instructor.
Math 210 - StatisticAL METHODS (3 credits)
Prerequisite: Mathematics 200 . Second course in statistical methods. Includes one-way and higher ANOVA, multiple regression, categorical data analysis, and nonparametric methods with examples from diverse fields. Topics vary with instructor and may also includeime time series and survival analysis.
Math 223 - Calculus III (3 credits)
Prerequisite: Mathematics 122. Includes parametric equations, polar coordinates, improper integrals, l'Hopital's rule, sequences, and infinite series.
Math 224 - Multivariable Calculus (3 credits)
Corequisite: Mathematics 223. Includes vectors in two- and three-dimensional space, vector-valued functions, functions of several variables, partial derivatives, multiple integrals, and line integrals.
Math 300 - Linear Algebra (3 credits)
Prerequisite: Mathematics 122 and Mathematics 125. An introduction to linear algebra. Usually includes matrix algebra, systems of linear equations, vector spaces, inner product spaces, linear transformations, and eigenspaces. Mathematics majors should take this course concurrently with Mathematics 223.
Math 312 - Differential Equations (3 credits)
Prerequisite: Mathematics 122. Ordinary differential equations, which may include Laplace transformations, linear differential equations, applications, approximations, and linear systems of equations.
Math 321 - Number Theory (3 credits)
Prerequisite: Mathematics 122. An elementary theoretical study of the properties of the integers.
Math 325 - Discrete Mathematics (3 credits)
Prerequisite: Mathematics 125. Includes topics such as discrete probability, graphs, recurrence relations, topics from number theory, semigroups, formal languages and grammars, finite automata, and Turing machines.
Math 330 - Foundations of Advanced Mathematics (3 credits)
Prerequisite: Mathematics 223 or higher. Introduction to mathematical reasoning and rigor. Includes topics such as basic logic, set theory, mathematical induction, relations, functions, sequences, cardinality, elementary number theory, and axiomatic construction of the real numbers. Emphasis placed on reading mathematics, understanding mathematical concepts, and writing proofs.
Math 351, 352 - Numerical Analysis I, II (3 credits, 3 credits)
Prerequisite: Mathematics 300 or 312, or Computer Science 220. Numerical methods applied to solutions of equations, interpolation, differentiation, integration, and solutions of differential equations. Only in sequence.
Math 372 - modern Geometry (3 credits)
Prerequisite: Mathematics 300. Axiomatic development of various geometries
including modern Euclidean geometry, finite geometries, hyperbolic geometry,
and elliptic geometry. Topics could also include convexity, transformational geometry, projective geometry, and constructability.
Math 381, 382 - Probability and Statistical Inference (3 credits, 3 credits)
Prerequisite: Mathematics 223. An introduction to probability theory and theoretical statistics, including probability distributions of discrete and continuous random variables, functions of random variables, methods of estimation, multivariable probability distributions, and hypothesis testing. Only in sequence.
Math 411 - Chaotic Dynamical Systems (3 credits)
Prerequsite: Mathematics 223. Chaotic dynamical systems including iteration, graphical analysis, periodic points, bifurcations, the transition to chaos, fractals, Julia sets and the Mandelbrot set.
Math 412 - Complex Variables (3 credits)
Corequisite: Mathematics 471. Analytic functions, Cauchy-Riemann conditions, integration, power series, calculus of residues, conformal mappings, and applications.
Math 431, 432 - Abstract Algebra I, II (3 credits, 3 credits)
Prerequisite: Mathematics 300 or permission of instructor. Mathematical systems, including groups, rings, fields, and vector spaces. Only in sequence.
Math 441, 442 - Topology I, II (3 credits, 3 credits)
Prerequisite: Mathematics 300 or 325; Mathematics 431 (Abstract Algebra I) is also a prerequisite for Math 442. Math 441 ncludes topics from point-set topology such as continuity, connectedness, compactness, and product and quotient constructions. Math 442 serves as an introduction to algebraic topology including homotopy theory, covering spaces, and topological groups. Only in sequence.
Math 461 - Topics in Mathematics (3 credits)
Prerequisite: Depends on the topic. Topics such as advanced topology, partial differential equations, optimization, Fourier series, advanced complex variables, ring theory, and modeling. May be taken up to three times for credit.
Math 471, 472 - Real Analysis I, II (3 credits, 3 credits)
Prerequisite: Mathematics 223 and 300. A rigorous real analysis approach to the theory of calculus. Only in sequence.
Math 491, 492 - Directed Study I, II (1-3 credits, 1-3 credits)
Prerequisite: Departmental permission. Individual study beyond the scope of normal course offerings, done under the direction of a faculty member. May lead to graduation with Honors in Mathematics.
Math 499 - Internship (credits variable)
Supervised off-campus experience, developed in consultation with the department. Does not count in the major program.