MTH - Mathematics
Review for elementary teachers proficiency tests on base ten numeration, common and decimal fractions, percentage, U.S. customary and metric measures, ratio and proportion, geometry, and algebra. Credit in this course does not count toward the total number of hours required for graduation. It does count in determining whether you are a full-time student. CR/NC only.
Credits
1-2(Spec)
The real number system, variables, algebraic expressions, exponents, Cartesian coordinate system, linear equations, percent, polynomial operations, reading graphs. Word problems emphasized. This course may only be used as a General Elective on the BS degree. Cannot be used to fulfill the Area 2 Natural Sciences requirement. CR/NC only. Prerequisite: Placement.
Credits
3(3-0)
Quantitative reasoning skills useful in an individual's private, civic, and professional life. Topics may include: financial management, insurance, personal health, and environmental and social concerns. Quantitative Reasoning.
Credits
3(3-0)
Rational and radical expressions and equations, integer and rational exponents, functions, graphs, systems of equations and inequalities, quadratic equations. Successful completion of this course satisfies the University Mathematics Competency requirement. This course may be offered in an online or hybrid format. Prerequisite: Placement or successful completion of
MTH 101.
Credits
3(3-0)
Complex numbers, introduction to functions, zeros, graphing, linear functions, quadratic functions, intersections of graphs, interpreting graphs, inequalities, polynomial and rational functions, algebra of functions. Course does not count toward a major, minor in mathematics except for students pursuing a B.S. in Ed., Elementary Education. Recommended: Successful completion of
MTH 105.
Credits
3(3-0)
Solutions of triangles, trigonometric equations, and identities. No credit in
MTH 109 after credit earned in
MTH 130. Course does not count toward a major, minor in mathematics except for students pursuing a B.S. in Ed., Elementary Emphasis. This course may be offered in an online or hybrid format. Recommended: one and one-half years of high school algebra; or successful completion of
MTH 107 and one year of high school geometry.
Credits
3(3-0)
The role of mathematics in modeling real world phenomena is explored. Such mathematical areas as graph theory, linear programming, probability theory, and difference equations are developed as solution techniques for concrete problems from many disciplines. Recommended: Two years of high school mathematics or equivalent. (University Program Group II-B: Quantitative and Mathematical Sciences)
Credits
3(3-0)
Sets, mathematical induction, functions, relations, theory of equations, analytic geometry. This course is approved for offering in a distance learning format. Recommended:
MTH 107, 109.
Credits
4(4-0)
Limits, continuity, interpretations of the derivative, differentiation of elementary functions, applications of derivatives, antiderivatives, Riemann sums, definite integrals, fundamental theorem of calculus. This course may be offered in an online or hybrid format. Recommended:
MTH 107, 109; or
MTH 130. (University Program Group II-B: Quantitative and Mathematical Sciences)
Credits
4(4-0)
Techniques of integration, applications of definite integrals, improper integrals, elementary differential equations, infinite series, Taylor series, and polar coordinates. Prerequisite:
MTH 132.
Credits
4(4-0)
Mathematical background for elementary teachers. Sets, historical and modern numeration systems, operations with natural numbers, rational numbers, elementary number theory. Admission limited to students pursuing a B.S. in Ed., Elementary emphasis. Prerequisite: C or better in one of:
MTH 105, 107, 109, 130, 132. Pre/Co-requisite:
EDU 107.
Credits
3(3-0)
Continuation of
MTH 151. Decimals, percent, ratio/proportion, geometry (concepts and measurement), probability, statistics. Prerequisites:
MTH 151 with a grade of C or better; one of:
MTH 105, 107, 109, 130, 132.
Credits
3(3-0)
Topics in discrete mathematics including sequences, graphs, mathematical induction, recursion, number theory, combinatorial counting, difference equations, algorithms, and Boolean Algebra. No credit in
MTH 175 after credit in
MTH 375 or
MTH 332. Prerequisite:
MTH 130 or 132 or 133.
Credits
3(3-0)
Differentiation and integration of algebraic, exponential, and logarithmic functions, applications of differentiation and integration, partial derivatives. Does not count toward a major or minor in mathematics. Recommended:
MTH 107.
Credits
4(4-0)
Systems of linear equations, matrices, determinants, vectors, vector spaces, eigenvalues, linear transformations, applications and numerical methods. Prerequisite:
MTH 132.
Credits
3(3-0)
First order differential equations, systems of linear differential equations, matrices, vector spaces, linear transformations and eigenvalues. May not be counted toward major in Mathematics. Credit may not be earned in both
MTH 223 and
MTH 232, or in both
MTH 334 and
MTH 232. Prerequisite:
MTH 133.
Credits
3(3-0)
Vectors and surfaces in R3, vector-valued functions, functions of several variables, partial differentiation and some applications, multiple integrals, vector calculus. Prerequisites:
MTH 133. Pre/Co-Requisites:
MTH 223 or 232.
Credits
4(4-0)
Examines applications of statistics, experimental probability, and theoretical probability suitable for teachers. Prerequisite: Signed major or minor in Elementary Mathematics. Pre/Co-requisite:
MTH 152.
Credits
3(3-0)
This course examines the concepts of algebraic thinking and measurement, focusing specifically on applications for teachers. Prerequisite: Signed major or minor in Elementary Mathematics. Pre/Co-requisite:
MTH 152.
Credits
3(3-0)
Abstract algebraic concepts are explored through a technology-enhanced approach connecting secondary mathematics curricula with undergraduate mathematics and pedagogical content. Prerequisites:
MTH 223; signed major or minor in secondary mathematics.
Credits
3(3-0)
Mathematical modeling of real world problems using concepts learned in algebra, calculus and statistics. Prerequisites:
MTH 132 or
MTH 217. Co-requisite: STA 282 or STA 382.
Credits
3(3-0)
Subject matter not included in regular course. May be taken for credit more than once, total credit not to exceed 6 hours. Prerequisite: permission of instructor.
Credits
1-6(Spec)
Study of several basic concepts in mathematics including logic, set theory, relations and functions, cardinality, number systems, sequences. Pre/Co-requisites:
MTH 175, 351; or one of:
MTH 223, 232.
Credits
3(3-0)
Definition and solution of first, second, and higher order differential equations. Prerequisites:
MTH 133,
MTH 223.
Credits
3(3-0)
Discrete and continuous models of population growth, stability analysis of dynamical systems, biochemical reaction kinetics, and biological oscillators and switches. Prerequisite:
MTH 132. Recommended:
MTH 133 or STA 282 or 382.
Credits
3(3-0)
An advanced study of Euclidean and Non-Euclidean geometries from an axiomatic and historical standpoint. Prerequisite:
MTH 332.
Credits
3(3-0)
This course examines geometry focusing on axiomatic systems with the purpose of developing the ability to create mathematical proofs. Prerequisite:
MTH 256.
Credits
3(3-0)
Preparation for and experience in working with students in secondary (7-12) mathematics classrooms. Prerequisites:
MTH 223.
Credits
1(Spec)
Geometry content is explored through a problem-based and technology- enhanced approach connecting secondary mathematics curricula with undergraduate mathematics and pedagogical content. Prerequisites:
MTH 332; C+ or better in
MTH 261; signed major or minor in secondary mathematics teaching.
Credits
3(3-0)
Probability and Statistics content are explored through a problem-based and technology-enhanced approach connecting secondary mathematics curricula with undergraduate mathematics and pedagogical content. Prerequisites:
MTH 332; C+ or better in
MTH 261; signed major or minor in secondary mathematics.
Credits
3(3-0)
Relation between set theoretic operations and computer operations, applications of graph theory, graphical algorithms, discrete algebraic structure. Prerequisites:
MTH 133 or
MTH 223;
MTH 175 or
MTH 332.
Credits
3(3-0)
The in-depth study of a topic in mathematics under the direction of a faculty member. May be taken for credit more than once, total credit not to exceed six hours. Prerequisite: Permission of instructor.
Credits
1-6(Spec)
Topics in applied mathematics and boundary value problems and orthogonal functions, partial differential equations, and complex variables. Prerequisites:
MTH 233,
MTH 334.
Credits
3(3-0)
Complex numbers, analytic functions, Laurent series, Cauchy integral formula. Prerequisites:
MTH 233, 332.
Credits
3(3-0)
Computational methods for solving non-linear equations and systems of linear equations. Interpolation, numerical differentiation and integration. Prerequisites:
MTH 133, 223.
Credits
3(3-0)
Continuation of
MTH 438. Solutions to ordinary differential equations. Study of approximation theory and solutions to nonlinear systems of equations. Prerequisite:
MTH 438.
Credits
3(3-0)
Curves and surfaces, Frenet formulas, calculus on Euclidean space, tangent vectors and surface maps, Gauss map, shape operator, curvature, special curves on surfaces. Prerequisites:
MTH 233, 332.
Credits
3(3-0)
Materials, teaching techniques for prospective secondary mathematics teacher. Course does not count as one of two 400 or 500 level courses on mathematics major. May not be counted toward a major or minor in mathematics except for students pursuing a B.S. in Ed. degree. Open only to seniors and approved juniors. Prerequisites:
MTH 223,
MTH 341.
Credits
4(4-0)
This course exposes pre-service secondary mathematics teachers to theory and practice of curriculum, assessment and instruction in schools, introducing current literature and designing instructional units. Prerequisites:
MTH 341; C+ or better in
MTH 261, 362, 363; signed major or minor in secondary mathematics.
Credits
3(3-0)
Subject matter not included in regular course. May be taken more than once, total credit not to exceed 6 hours. Prerequisite: See Course Search and Registration.
Credits
1-6(Spec)
Material in core mathematics courses is unified through study of subject matter excluded from regular mathematics courses, in the areas of classical and applied mathematics. Prerequisites:
MTH 133,
MTH 332; permission of instructor.
Credits
3(3-0)
An introduction to the theory, practical applications and algorithms of nonlinear programming. Prerequisites:
MTH 233.
Credits
3(3-0)
Properties of integers, congruences, greatest common divisors and prime factorization, applications of number theory to computer science and/or cryptology. Prerequisite:
MTH 332.
Credits
3(3-0)
The mathematics and algorithms of classical and computer-age cryptology. Substitution, transposition, stream and block ciphers; DES, Rijndael and public key cryptology; cryptanalysis of cipher systems. Prerequisites:
CPS 340 or
MTH 332.
Credits
3(3-0)
Groups, rings, integral domains, fields, and fundamental homomorphism theorems. Prerequisite:
MTH 332 or graduate status.
Credits
3(3-0)
Vector spaces, subspaces, bases and dimensions; linear transformations, their algebra, their representation by matrices, and linear functionals; eigenvalues, triangularizable and diagonalizable transformations; inner product spaces. Prerequisite:
MTH 523.
Credits
3(3-0)
Representation theory of finite groups, Specht modules, combinatorics of Young tableaux, and symmetric functions. Prerequisite:
MTH 525.
Credits
3(3-0)
Rigorous development of calculus for functions of one variable. Sequences, limits, continuity, differentiation, integration, exponential and logarithmic functions, arc length, series. Credits will not count towards M.A. or Ph.D. degree requirements in mathematics. Prerequisites:
MTH 233 and
MTH 332, or graduate status.
Credits
3(3-0)
Continuation of
MTH 532. Rigorous development of calculus for functions of several variables. Limits, continuity, differentiation, and integration. Prerequisite:
MTH 532.
Credits
3(3-0)
Initial-boundary value (linear, nonlinear) problems, orthogonal functions, differential operators, numerical techniques, introduction to partial differential equations, applications to biology, chemistry, engineering, medicine, and physics. Prerequisites:
MTH 233, 334.
Credits
3(3-0)
Development of elementary point-set topology. Sets, functions, metric spaces, topological spaces, quotient surfaces, compactness, and connectedness. Prerequisite:
MTH 332 or graduate status.
Credits
3(3-0)
Problem-solving, set theory, logic, number theory, algebra, consumer mathematics and mathematical systems. Credit will not apply toward a master's degree in mathematics. Prerequisites:
MTH 254 and 351.
Credits
3(3-0)
History of mathematical developments of western and non-western cultures for use in grades K-8. Credit will not apply toward a master's degree in mathematics. Prerequisites:
MTH 254, 351.
Credits
3(3-0)
Develops the use of microcomputers in elementary education with particular emphasis on mathematical applications. Computer literacy and BASIC programming are included. Open only to those students pursuing a B.S. in Elementary Emphasis. Prerequisites:
MTH 107, MTH 251.
Credits
3(3-0)
This course explores how popular culture (such as television, comics, movies, music and books) portrays mathematicians and mathematics as a discipline. This course is intended for elementary education mathematics majors and minors or in-service teachers. Prerequisite:
MTH 256.
Credits
3(3-0)
Course is designed for secondary mathematics education majors and minors. Emphasis will be on the classroom use of graphics calculators to teach mathematics. Prerequisites:
MTH 132; with
MTH 223 as a co- requisite.
Credits
1(1-0)
Examines microcomputer use in secondary education with particular emphasis on mathematical applications. Open only to those students pursuing a B.S. in Ed., Secondary Emphasis. Prerequisite:
MTH 223.
Credits
3(3-0)
History of arithmetic, algebra, geometry, calculus. Prerequisites:
MTH 332 or
MTH 341, or graduate status.
Credits
3(3-0)
Introduction to the basic principles of combinatorics and graph theory with applications to problems of nonmathematical origin. Prerequisites:
MTH 523.
Credits
3(3-0)
Mathematical theory and applications of mathematical programming. Linear programming duality, integer programming, mixed integer programming, and dynamic programming. Prerequisites:
MTH 133.
Credits
3(3-0)
Continuation of
MTH 586. Theory and application of stochastic models in operations research. Inventory models, queuing theory. Markov chains, stochastic programming. Prerequisites: STA 382,
MTH 586.
Credits
3(3-0)
Problem-solving techniques demonstrated through solutions of the Putnam Examination problems. Designed particularly for those students interested in participating in the Putnam Examination. Prerequisite:
MTH 233; permission of instructor.
Credits
1-3(Spec)
Class presentation of results of independent study, and final comprehensive written report in an approved subject. Prerequisite: one year of calculus; permission of instructor.
Credits
3(3-0)
Subject matter not included in regular mathematics education course. May be taken for credit more than once, total credit not to exceed 6 hours. Specific topics and pre/co-requisites will be announced in Course Search and Registration. May not be counted toward a major or minor in mathematics except for students pursuing a B.S. in Ed. degree. Pre/Co- requisites: See Course Search and Registration.
Credits
1-6(Spec)
Subject matter not included in regular course. May be taken for credit more than once, total credit not to exceed 6 hours. Pre/Co-requisite: See Course Search and Registration.
Credits
1-6(Spec)
Open to students with permission of instructor. May be taken for credit more than once, total credit not to exceed 6 hours.
Credits
1-6(Spec)