
MATH 105 Mathematical Concepts for Elementary Teachers I
Study of mathematical concepts including counting and cardinality, operations, and algebraic thinking, number and operations (base ten and fractions), with attention to mathematical practices and the historical development of mathematical concepts. Emphasis on mathematical reasoning, including proof. This is not a methods course. Will not count toward the major or minor in mathematics. Prerequisite: ACT score of 22 or SAT score of 1030. Enrollment limited to elementary teacher education majors. Offered each fall.

MATH 106 Mathematical Concepts for Elementary Teachers II (FR)
Study of mathematical concepts including measurement and data, geometry, statistics, probability, with attention to mathematical practices and the historical development of mathematical concepts. Emphasis on mathematical reasoning, including proof. This is not a methods course. Will not count toward the major or minor in mathematics. Prerequisite: 105. Enrollment limited to elementary teaching education majors. Offered each spring.

MATH 110 Finite Mathematics (FR)
Topics to be selected from solving systems of linear equations using Gaussian and GaussJordan Elimination, matrix algebra, linear programming, probability, mathematics of finance, statistics, and Markov chains. Will not count toward the major or minor in mathematics. Prerequisite: two years of high school algebra and one year of high school geometry. Offered each semester.

MATH 135 Applications of Sets, Logic, and Recursion (FR) (Crosslisted with CS 135)
Introduction to functional programming and discrete mathematics. Sets, functions, and relations. Basic logic including formal derivations in propositional and predicate logic. Recursion and mathematical induction. Programming material: Data types and structures, list processing, functional and recursive programming. No prerequisite. Will not count towards the major or minor in mathematics. Offered each year.

MATH 136 Computational Discrete Mathematics (Crosslisted with CS 136)
Additional concepts in discrete mathematics. Recurrence relations, counting, and combinatorics. Discrete probability. Algorithmic graph theory. Programming with advanced data structures. No prerequisite. Will not count towards the major or minor in mathematics. Offered each fall.

MATH 140 Mathematics of Finance (FR)
An introduction to the mathematics of finance. Topics will include geometric and arithmetic sequences and series, simple interest, compound interest, bank discounts, treasure bills, time diagrams, ordinary annuities, annuities dues, general annuities, retirement annuities, amortization, sinking funds and other selected topics that could include bonds, life insurance, and stocks. Prerequisite: Two years of high school algebra, or the equivalent. Offered each fall.

MATH 176 Applied Analysis I (FR)
Careful study of the real number system, sequential limits of functions from R ^{n} to R, definition of the derivative, and derivative rules and applications. Students will learn the basics of proving limits, as well as their use. Prerequisite: two years of high school mathematics including algebra, trigonometry, and precalculus. Offered each semester.

MATH 177 Applied Analysis II
A continuation of Math 176 to include: differential calculus of vectorvalued functions, vector fields, differentiation for functions of several variables, and integration for functions of one variable. Prerequisite: 176. Offered each semester.

MATH 200 Techniques of Mathematical Proof (W)
Writing mathematical proofs. Topics to include naive set theory, indexing sets (including arbitrary indexing), relations, equivalence relations, functions, function inverses and inverse images, composition of functions, induced functions on power sets, finite and infinite sets, countable sets, mathematical induction. Prerequisite: Consent of the instructor. Offered each semester.

MATH 215 Linear Algebra (FR)
Vector spaces, linear mappings, determinants, matrices, eigenvalues, geometric applications. Prerequisite: 176, or consent of the instructor. Offered each semester.

MATH 278 Applied Analysis III: A Sequential Approach to Multivariate Calculus
A continuation of Math 177 to include: infinite series, integration for functions of several variables and vector fields, Green's and Stokes' Theorems, basic topology of the real number line. Prerequisite: 177. Offered each semester.

MATH 300 Mathematical Modeling
This course demonstrates the applicability of mathematics in the formulation and analysis of mathematical models used to solve real world problems. Students are expected to write the results of the models obtained in technical reports and to give oral presentations. This course is taught with the aid of a computer lab. Prerequisite: 177 or 215, and at least one additional mathematics course at the 200 or 300level. Offered in alternate years, fall semester.

MATH 303 Regression and Time Series
This course introduces statistical methods used in practice: simple and multiple linear regressions, hypothesis testing and confidence intervals in the linear regression models, autoregressive and ARIMA models, data analysis and forecasting with time series models. Prerequisite: 325 or one of the following: Biology 209, Economics 227, Psychology 227, or Sociology 227. Offered fall semester of evennumbered years.

MATH 307 Numerical Analysis
Numerical processes and error estimates relating to nonlinear equations, linear systems of equations, polynomial interpolation and approximation, spline functions, numerical integration and differentiation, and initialvalue problems in ordinary differential equations. Prerequisite: 215. Offered in alternate years, fall semester.

MATH 310 Combinatorics and Graph Theory
Topics to include basic counting techniques (counting principles, binomial identities, inclusion/exclusion, recurrences, and generating functions), an introduction to graph theory, and extremal problems. Prerequisite: 200 and 278. Offered in alternate years, spring semester.

MATH 311 Parallel Computing
Theory of parallel computation including parallel architectures, processor communication schemes, algorithm complexities, and scalability. Applications of parallel computation, including cellular automata, neural networks, and numerical linear algebra. Prerequisite: CS 127, Math 177, Math 215, and consent of instructor. Offered occasionally.

MATH 324 Probability
An introduction to probability; random variables with discrete and continuous distributions, independence and conditional probabilities, distributions and expectations of random variables, moment generating functions, joint distributions. Prerequisite: 177 and 215. Offered each fall.

MATH 325 Mathematical Statistics
Transformation of random variables, order statistics, central limit theorem, estimation and hypothesis testing; point estimation, interval estimation, sufficient statistics, most powerful tests, likelihood ratio tests, chisquare tests. Prerequisite: 324. Offered each spring.

MATH 330 Linear Programming
Convex sets; primal, dual, and other simplex procedures; duality, linear complementarity, Lemke's complementarity pivoting algorithm, transshipment problems, other applications and topics. Prerequisite: 177 and 215. Offered in alternate years, fall semester.

MATH 337 Algorithmic Number Theory
This course introduces the mathematics necessary to understand public key cryptography. Students will prove results from number theory and analyze algorithms to determine their running times. Topics include modular arithmetic, units and squares modulo integers, Fermat's little theorem, determining primality, and factoring composites. Prerequisite: CS/Math 135 or Math 200. Offered in alternate years.

MATH 340 Differential Equations
Topics may include, but are not limited to, firstorder equations, linear higher order equations, systems of differential equations, series solutions, Laplace transforms, and other selected topics. Prerequisite: 177. Offered each spring.

MATH 351 Wavelet Analysis
Topics to be covered include spline functions, inner product spaces, Fourier series, Fourier transform, multiresolution analysis, Haar wavelet analysis, Daubechies wavelets, Frances and multiwavelets. Prerequisite: 215 and 278. Offered in alternate years, spring semester.

MATH 370/470 Topics in Mathematics
Topics in pure and applied mathematics not covered in other offerings. Math 470 will be proof oriented. May be repeated for different topics. Prerequisite: varies with the topic. Offered as needed.

MATH 397 Internship
This course provides opportunities for junior and senior mathematics majors to apply skills acquired in the classroom to a jobrelated experience in various professional areas and locations. Will not count towards the major or minor in mathematics. Prerequisite: consent of department head. Offered as needed.

MATH 405 Modern Algebra
Groups, rings, ideals, integral domains, fields. Prerequisite: 177, 200, and 215. Offered in alternate years, spring semester.

MATH 410 Introduction to Complex Analysis
This course provides a rigorous introduction to the theory of functions of a complex variable, which extends Calculus to the complex domain. Topics covered include complex numbers, analytic functions, integrals, power series, elementary complex functions, mappings by elementary functions, elementary conformal mappings, Cauchy's Integral Theorem, the Residue theorem, and harmonic functions. Prerequisites: 200, 215, and 278. Offered in alternate years, spring semester.

MATH 415 Introduction to Real Analysis
A rigorous study of the real number system, functions, limits, continuity, derivatives, integrals, sequences, and series. Prerequisite: 200, 215, and either 278. Offered in alternate years, fall semester.

MATH 425 Topics in Geometry
Selected topics in geometry emphasizing the pertinent theorems, proofs, definitions, postulates, and axioms, where applicable. Possible topics include synthetic Euclidean geometry, convexity, metric geometry, projective geometry, synthetic geometry, etc. Prerequisite: 177, 200, and 215. Offered in alternate years, spring semester.

MATH 440 Topology
Selected topological topics to include: open sets; closed sets; accumulation points; the interior, exterior, and boundary of a set; compact sets; connected sets; continuous functions; and homeomorphisms. Prerequisite: 177, 200, and 215. Offered in alternate years, fall semester.

MATH 495 Directed Study
Individual directed readings on a topic of interest to the student. This course is a preparation for Math 499 (Research/Thesis).The course requires a significant review of the literature that culminates in a committeereviewed manuscript. Will not count towards the major or minor in mathematics. Prerequisite: two courses in mathematics at the 300level or higher. Requires permission of department chair and faculty research advisor. Open only to mathematics majors with a cumulative GPA of 3.5 or higher in mathematics. Offered each semester.

MATH 499 Research/Thesis
Experimental or theoretical examination of a significant problem in a topic of interest to the student that is not normally part of the curriculum. It includes as a requirement the preparation of a significant paper. Prerequisite: consent of department chair. Offered each semester.