MTH 099: Intermediate Algebra, 3 credits.
Fall & Spring Semester & First & Second Summer Session
Prerequisite: None. Students with Math SAT score less than 550 or ACT Math score less than 24 will be recommended for this course.
Description: This is a remedial algebra course intended to prepare students for MTH 101.
Topics: Review of arithmetic and operations on real numbers; properties of real numbers; algebraic expressions including: polynomials, factoring, rational expressions, radical expressions, integer exponents; solving linear equations and inequalities, including applications; graphs of linear equations and finding the equation of a line; systems of linear equations in two variables and applications; quadratic equations solved by factoring and the quadratic formula; basic introduction to function notation and applications with linear functions. NOTE: The grade and credits earned in this course are applied to the GPA, but the credits do not count towards the 120 credits needed for graduation.

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MTH 101: Algebra for College Students, 3 credits.
Fall & Spring Semester & First & Second Summer Session
Prerequisite: Minimum Math SAT score of 550 or ACT Math score of 24 or adequate score on the Mathematics Placement Exam or passing grade in MTH 099.
Description: This course covers the fundamentals of college algebra, including algebraic expressions and equations, and an introduction to functions. This course is intended primarily for students in a BA program.
Topics: Review of the real number system and set operations; properties of real numbers; algebraic expressions including: polynomials, factoring, rational expressions, radical expressions, integer and rational exponents; division of polynomials; linear equations and inequalities, including applications; absolute value equations and inequalities; nonlinear inequalities; graphs of linear equations and finding the equation of a line; systems of linear equations in two and three variables with applications; systems of linear inequalities in two-variables; quadratic equations and applications; functions: including linear, quadratic, radical, cubic, and absolute value.

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MTH 103: Finite Mathematics, 3 credits.
Fall & Spring Semester & First & Second Summer Session
Prerequisite: Minimum Math SAT score of 650 or ACT Math score of 29 or adequate score on the Mathematics Placement Exam or passing grade in MTH 101.
Description: This course is intended to provide students with exposure to a variety of mathematical ideas with an emphasis on real world applications. This course covers a selection of topics including sets, logic, counting techniques, probability, statistics, the mathematics of finance, and linear programming. The selection of topics may vary by instructor. This course is intended for BA Students and satisfies the General Education Requirement in Mathematics.
Topics: Selected topics from the following - sets; logic; combinations and permutations; probability; statistics; relations and functions; introduction to linear programming; matrices; finance.

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MTH 104: Geometry for Educators, 3 credits.
Offered By Announcement Only
Origins of geometry; topics from Euclidean, coordinate, and transformational geometry. Includes laboratory component. Only for pre-certification students in the School of Education who are not mathematics or science majors.
Prerequisite: MTH 101 or adequate achievement on mathematics placement test.

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MTH 105: Algebra and Trigonometry, 5 credits.
Fall & Spring Semester
Prerequisite: Minimum Math SAT score of 600 or ACT Math score of 27 or adequate score on the Mathematics Placement Exam or passing grade in MTH 101.
Description: This course covers topics in algebra and trigonometry in order to prepare students for Calculus. This course combines the content of MTH 107 and MTH 108 in one semester. Students cannot receive credit for this course and MTH 107 or MTH 108. This course is intended primarily for students in the College of Engineering in order to prepare these students for MTH 110.
Topics: Review of algebraic manipulations of polynomials, exponential expressions, rational, and radical expressions; linear and quadratic equations; polynomial equations with solutions over the set of complex numbers; rational and radical equations; linear and nonlinear inequalities; equations and inequalities involving absolute value; graphs of equations; lines and circles; functions and graphs; mathematical models using functions; graphs of polynomial and rational functions; properties of division; Fundamental Theorem of Algebra; composition of functions; inverse functions; exponential and logarithmic functions and applications; trigonometric functions and their graphs; trigonometric identities; solving trigonometric equations; inverse trigonometric functions; law of sines; law of cosines; area and simple harmonic motion; polar coordinates, equations and graphs; the complex plane and De Moivre's Theorem; vectors and applications; the conic sections; systems of linear equations in two and three variables with applications.

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MTH 107: Precalculus Mathematics I, 3 credits.
Fall & Spring Semester & First & Second Summer Session
Prerequisite: Minimum Math SAT score of 600 or ACT Math score of 27 or adequate score on the Mathematics Placement Exam or passing grade in MTH 101.
Description: This course covers topics in algebra, providing students with the fundamentals of precalculus. This course is intended for students who will eventually take Calculus. Not open to students with credit in MTH 105.
Topics: Review of the real number system and set operations; review of algebraic expressions, equations and inequalities, including: polynomials, rational expressions, radicals, absolute values, integer and rational exponents; division of polynomials; applications of equations and inequalities; the Division Algorithm and the Fundamental Theorem of Algebra. This course provides a concentration on functions including function notation, finding the domain and range of functions, implicit functions, shifts of basic functions, operations on functions; graphs of linear functions, absolute value functions, polynomial functions, rational functions, exponential functions, and logarithmic functions; defining the inverse function and finding the inverse of one-to-one functions; systems of linear equations in two and three variables with applications.

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MTH 108: Precalculus Mathematics II, 3 credits.
Fall & Spring Semester & First & Second Summer Session
Prerequisite: Minimum Math SAT score of 650 or ACT Math score of 29 or adequate score on the Mathematics Placement Exam or passing grade in MTH 107.
Description: This course covers topics in trigonometry and analytic geometry, providing students with the fundamentals of precalculus. This course is intended for students who will eventually take Calculus. Not open for students with credit in MTH 105.
Topics: Trigonometric functions and their graphs; trigonometric identities; solving trigonometric equations; inverse trigonometric functions; law of sines; law of cosines; area and simple harmonic motion; polar coordinates, equations and graphs; the complex plane and De Moivre's Theorem; vectors and applications; the conic sections.

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MTH 109: Introductory Calculus, 3 credits.
Fall & Spring Semester
A one semester survey of the fundamental principles of calculus: functions, limits, derivatives, definite integrals, applications.
Prerequisite: MTH 107 or adequate achievement on mathematics placement test. Not for major or minor. Not for B.S. students.

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MTH 110: Analytic Geometry and Calculus I, 5 credits.
Fall & Spring Semester
Introduction to plane analytic geometry, and the subject matter of MTH 111.
Prerequisite: At least a C- in MTH 105 or adequate achievement on mathematics placement test and high school trigonometry. Not open to students with credit in MTH 111 or 131.

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MTH 111: Calculus I, 4 credits.
Fall & Spring Semester & First & Second Summer Session
Limits and continuity, derivatives and applications, the definite integral and applications.
Prerequisite: At least a C- in MTH 108 or adequate achievement on mathematics placement test together with completion of high school trigonometry and analytic geometry. Not open to students with credit in MTH 110 or 131.

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MTH 112: Calculus II, 4 credits.
Fall & Spring Semester & First & Second Summer Session
Transcendental functions, methods of integration, L'Hôpital's Rule and improper integrals, infinite series, polar coordinates, and introduction to differential equations.
Prerequisite: MTH 110 or 111. Not open to students with credit in MTH 132.

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MTH 131: Calculus I (honors), 4 credits.
Fall Semester
The theory of limits, the derivative and the definite integral, techniques and applications. The sequence MTH 131-132 is more conceptually oriented than MTH 110-112.
Prerequisite: At least a B in MTH 108 or adequate achievement on mathematics placement test together with completion of high school trigonometry and analytic geometry. Not open to students with credit in MTH 110 or 111.

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MTH 132: Calculus II (honors), 4 credits.
Fall & Spring Semester
Continuation of MTH 131. Additional topics on the derivative and definite integral; improper integrals, infinite series, and introduction to differential equations.
Prerequisite: MTH 131. Not open to students with credit in MTH 112.

MTH 210: Vectors and Matrices, 3 credits.
Fall & Spring Semester & First Summer Session
Two and three dimensional vectors, inner products, vector products, matrix algebra, linear transformations, determinants, quadratic and bilinear forms.
Prerequisite or corequisite: MTH 112 or 132.

MTH 211: Calculus III, 3 credits.
Fall & Spring Semester & First Summer Session
Matrix algebra, vectors in space, partial differentiation, multiple integration.
Prerequisite: MTH 112.

MTH 224: Introduction to Probability and Statistics, 3 credits.
Fall & Spring Semester & First Summer Session
Probability distributions, random variables, expectation and variance, point estimation, interval estimation, testing of hypothesis, analysis of variance.
Prerequisite: One semester of calculus.

MTH 230: Introduction to Abstract Mathematics, 3 credits.
Fall & Spring Semester
Fundamentals of set theory, logic and methods of mathematical proof.
Prerequisite or corequisite: MTH 112 or 132.

MTH 309: Discrete Mathematics I, 3 credits.
Fall & Spring Semester
Mathematical methods of Computer Science and Computer Engineering. Mathematical reasoning, sets, relations, functions, Boolean algebra, combinatorics, graphs.
Prerequisite: MTH 111.

MTH 310: Multivariable Calculus, 3 credits.
Fall & Spring Semester & First Summer Session
Equations of curves, surfaces, solids; vector differential calculus; integration of scalar valued functions. Applications.
Prerequisite: MTH 210 and (112 or 132). Not open to students with credit in MTH 533.

MTH 311: Ordinary Differential Equations, 3 credits.
Fall & Spring Semester & Second Summer Session
Linear differential equations, simultaneous equations, solutions in series, numerical solutions.
Prerequisite: MTH 112 or 132.

MTH 320: Introduction to Numerical Analysis, 3 credits.
Spring Semester
Interpolation, quadrature, numerical solution of algebraic and transcendental equations, matrix inversion.
Prerequisite: MTH 210 or 211; knowledge of a structured programming language.

MTH 433: Advanced Calculus, 3 credits.
Fall Semester
A rigorous and comprehensive treatment of the theoretical concepts of calculus. The real number system; sequences; series; continuity, differentiation and integration of functions of one variable.
Prerequisite: MTH 211 (or 310) and 230. Not open to students with credit in MTH 533.

MTH 471, 472: Directed Readings, 1-3 credits each.
Offered By Announcement Only
Topics selected from algebra, geometry, analysis, topology.
Prerequisite: Permission of department chairman.

MTH 502: History of Mathematics, 3 credits.
Fall Semester
The development of mathematics from its earliest beginnings through the first half of the twentieth century. Numeral systems, geometry, algebra, analysis and set theory.
Prerequisite: Two courses in mathematics at the 200 level or above.

MTH 504: Foundations of Geometry, 3 credits.
Fall Semester
Axiom systems and models of Euclidean and Non-Euclidean geometry.
Prerequisite: MTH 230 or 309.

MTH 505: Theory of Numbers, 3 credits.
Spring Semester
Divisibility, primes; congruences; quadratic resides and reciprocity; Diophantine equations. Applications to cryptography.
Prerequisite: MTH 210 or 504.

MTH 506: Logic, 3 credits.
Offered By Announcement Only
Propositional and first-order logic: completeness. Computational logic: Robinson's resolution. Formalized theories: arithmetic, Gödel's incompleteness theorem, Tarski's theorem on undefinability of truth.
Prerequisite: MTH 230 or 309 or permission of the instructor.

MTH 508: Survey of Modern Algebra, 3 credits.
Spring Semester
Algebraic systems, equivalence classes, groups, rings, fields, unique factorization domains.
Prerequisite: MTH 210 and 230. Not open to students with credit in MTH 509 or 561.

MTH 509: Discrete Mathematics II, 3 credits.
Offered By Announcement Only
Groups and combinatorics; applications of group theory to computer design and error correcting codes; semigroups and their applications to finite state machines; rings and fields; applications of Boolean algebra to computer design.
Prerequisite: MTH 210, 309.

MTH 510: Linear Algebra, 3 credits.
Fall Semester
Abstract vector spaces, bases and dimensions, linear maps, eigen values and eigenvectors, inner product spaces, operators, spectral theorems, canonical forms.
Prerequisite: MTH 210; transition course in logical reasoning such as MTH 230 or 309 recommended but not required.

MTH 512: Elementary Complex Analysis, 3 credits.
Spring Semester
Complex variables; conformal mapping, contour integration.
Prerequisite: MTH 211 or 310.

MTH 513: Partial Differential Equations I, 3 credits.
Fall Semester
Derivation, well posedness, and qualitative properties of initial value and boundary value problems for the heat, wave and Laplace equations. Energy methods, causality, maximum principles, heat kernels, Fourier series, and potential theory.
Prerequisite: MTH 210, 310, and 311.

MTH 514: Partial Differential Equations II, 3 credits.
Spring Semester
Continuation of MTH 513. Approximations of solutions, distributions and integral transform methods, spectral theory and scattering. Applications to physical problems. Nonlinear equations and phenomena.
Prerequisite: MTH 513 or permission of the instructor.

MTH 515: Ordinary Differential Equations, 3 credits.
Fall Semester
Linear systems, equilibria and periodic solutions, stability analysis, bifurcation, phase plane analysis, boundary value problems, applications to engineering and physics.
Prerequisites: MTH 311 and either MTH 211 or 310.

MTH 516: Dynamics and Bifurcations, 3 credits.
Spring Semester
Bifurcation of equilibria and periodic solutions, global theory of planar systems, planar maps, nonlinear vibrations, forced oscillations, chaotic solutions, Hamiltonian systems, applications to engineering and physics.
Prerequisites: MTH 515 or permission of the instructor.

MTH 517: Data Structures and Algorithm Analysis, 3 credits.
Offered By Announcement Only
Data abstraction, formal specification, trees, B-trees, balanced binary trees, graphs, searching and sorting. Algorithm analysis. Memory management.
Prerequisite: MTH 112 and 309, and CSC 220.

MTH 520: Numerical Analysis I, 3 credits.
Offered By Announcement Only
Numerical linear algebra including the algebraic eigenvalue problem.
Prerequisite: MTH 320 or permission of department chairman.

MTH 521: Numerical Analysis II, 3 credits.
Offered By Announcement Only
Numerical solution of ordinary and partial differential equations.
Prerequisite: MTH 320 or 520 or permission of department chairman.

MTH 524: Introduction to Probability Theory, 3 credits.
Fall Semester
Probability spaces, random variables, expectation, limit theorems.
Prerequisite: MTH 310 or permission of department chairman.

MTH 525: Introduction to Mathematical Statistics, 3 credits.
Spring Semester
Probability distributions, theory of sampling and hypothesis testing.
Prerequisite: MTH 524.

MTH 527: Theory of Automata, 3 credits.
Offered By Announcement Only
Finite-state automata, context-free grammars, pushdown automata, Turing machines and computability.
Prerequisite: MTH 309 or 508.

MTH 528: Combinatorics, 3 credits.
Offered By Announcement Only
Permutations and combinations, generating functions, enumerative analysis.
Prerequisite: One of the following: MTH 508, 509 or 561.

MTH 531: Topology I, 3 credits.
Fall Semester
Set theory, topological spaces, compactness, connectedness, separation properties, quotient spaces, Tychonoff Theorem, compactification, Urysohn Lemma and Tietze Extension Theorem, function spaces.
Prerequisite: Permission of department chairman.

MTH 532: Topology II, 3 credits.
Spring Semester
Differential and topological manifolds, classical groups and associated manifolds, tangent and tensor bundles, vector fields, differential forms, transversality, Sard's theorem, Stokes' Theorem.
Prerequisite: MTH 210 and 531.

MTH 533: Introduction to Real Analysis I, 3 credits.
Fall Semester
Numerical sequences and series; continuity; differentiation; integration; sequences and series of functions; Fourier series; functions of several variables; implicit and inverse function theorems.
Prerequisite: MTH 211 (or 310) and 230.

MTH 534: Introduction to Real Analysis II, 3 credits.
Spring Semester
Continuation of MTH 533.
Prerequisite: MTH 533.

MTH 540: Algorithm Design and Analysis, 3 credits.
Offered By Announcement Only
Design techniques include divide-and-conquer, greedy method, dynamic programming, backtracking. Time and space complexity. Sorting, searching, combinatorial and graph algorithms.
Prerequisite: MTH 517.

MTH 542: Statistical Analysis, 3 credits.
Offered By Announcement Only
Statistical inference about one or two populations from interval, ordinal and categorical data; analysis of variance; simple and multiple linear regression; designing research studies.
Prerequisite: MTH 224, 310 (or 211).

MTH 551: Introduction to Differential Geometry, 3 credits.
Offered By Announcement Only
Geometry of curves and surfaces in Euclidean space. Local space curve theory, intrinsic and extrinsic curvature of surfaces, geodesics, parallelism, and differential forms.
Prerequisite: MTH 210 and either MTH 211 or 310, or permission of instructor.

MTH 561: Abstract Algebra I, 3 credits.
Fall Semester
Groups, rings; linear algebra; modules.
Prerequisite: MTH 210 and permission of department chairman.

MTH 562: Abstract Algebra II, 3 credits.
Spring Semester
Continuation of MTH 561.
Prerequisite: MTH 561.

MTH 591-594: Topics in Mathematics, 1-3 credits each.
Offered By Announcement Only