MTH - Mathematics
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)
This course explores the roles, stereotypes, and contributions of women in STEM (Science, Technology, Engineering, and Mathematics) fields, and the barriers they face. Identical to
WGS 104. Credit may not be earned in more than one of these courses. (University Program Group IV-A: Studies in Discrimination)
Credits
3(3-0)
Cross Listed Courses
WGS 104
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. Satisfies Mathematics Competency. Course does not count toward a major or minor in mathematics. This course may be offered in an online or hybrid format. Prerequisite:
MTH 105; or placement.
Credits
3(3-0)
Solutions of triangles, trigonometric equations, and identities. No credit in
MTH 109 after credit earned in
MTH 130. Satisfies Mathematics Competency. 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. Prerequisite:
MTH 105; or placement.
Credits
3(3-0)
This course applies basic arithmetic to explore modern real-life problems, such as social choice (voting and fair division), management (traveling salesman problems), finance, and statistics. Satisfies Mathematics Competency. This course may be offered in an online or hybrid format. (University Program Group II-B: Quantitative and Mathematical Sciences)
Credits
3(3-0)
Functions and their graphs, inequalities, analytic geometry. Satisfies Mathematics Competency. This course may be offered in an online format. Prerequisite:
MTH 107 or 109 or placement.
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. Satisfies Mathematics Competency. This course may be offered in an online or hybrid format. Prerequisites:
MTH 107, 109; or
MTH 130; or placement. (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. This course may be offered in an online or hybrid format. Prerequisite:
MTH 132 or placement.
Credits
4(4-0)
The teaching and learning of counting, whole number representations, and whole number operations while using High Leverage Practices in grades K-6. Admission limited to students pursuing B.S. in Ed., PK-3 or 3-6 major. This course may be offered in a synchronous online delivery format. Prerequisite: C or better in one of:
MTH 105, 107, 109, 130, 132. Pre/co-requisite:
EDU 107.
Credits
3(3-0)
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 logic, Boolean Algebra, sequences, mathematical induction, recursion, set theory, relations, functions, and combinatorial counting, with applications to computer science. No credit in
MTH 175 after credit in
MTH 375 or
MTH 332.
MTH 175 and
MTH 332 cannot be taken in the same semester. Prerequisite:
MTH 130 or 132.
Credits
3(3-0)
Introduction to elementary probabilistic concepts by exploring ancient and modern games as they relate to decision making. Simple computations will aid the experimental component. Identical to
PHY 212QR and
STA 212QR. Credit may not be earned in more than one of these courses. Quantitative Reasoning. Prerequisites:
MTH 105 or 107 or 109 or 113 or 130 or 132 or 133. (University Program Group II-B: Quantitative and Mathematical Sciences)
Credits
3(2-2)
Cross Listed Courses
PHY 212QR/STA 212QR
Differentiation and integration of algebraic, exponential, and logarithmic functions, business and economics applications of differentiation and integration. Satisfies Mathematics Competency. This course may be offered in an online format. Does not count toward a major or minor in mathematics. Prerequisite:
MTH 107 or placement.
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)
The teaching and learning of fractions, decimals, percents, and proportional reasoning while using High Leverage Practices in grades K-6. Admission limited to students pursuing B.S. in Ed., PK-3 or 3-6 major. This course may be offered in a synchronous online delivery format. Prerequisites:
MTH 150 with a grade of C or better; one of: MTH 105, 107, 109, 130, 132.
Credits
3(3-0)
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)
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 fundamental concepts in mathematics including logic, set theory, relations and functions, cardinality, mathematical induction. No credit in
MTH 175 after credit is earned in
MTH 332.
MTH 175 and
MTH 332 cannot be taken in the same semester. Prerequisite:
MTH 175 or 351; or Pre/Co-requisites:
MTH 223 or 232.
Credits
3(3-0)
First, second, and higher order differential equations, existence and uniqueness of solutions, Laplace transforms, series solutions, systems of differential equations, numerical methods, and applications. Prerequisites:
MTH 133, 223.
Credits
3(3-0)
Modeling and analysis of biological problems including population growth, biochemical kinetics, predator-prey models, biological oscillators, excitable systems and neurophysiology, infectious diseases, genetic expressions, and cancer. Prerequisite:
MTH 232 or 334.
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)
The teaching and learning of attribution: patterns, shapes, measurement, and data while using High Leverage Practices in grades K-6. Admission limited to students pursuing B.S. in Ed., PK-3 or 3-6 major. This course may be offered in a synchronous online delivery format. Prerequisites:
MTH 250 with a grade of C or better; one of:
MTH 105, 107, 109, 130, 132.
Credits
3(3-0)
This course examines geometry focusing on axiomatic systems with the purpose of developing the ability to create mathematical proofs. Prerequisites:
MTH 256;
MTH 152 with grade of B or better.
Credits
3(3-0)
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)
Discrete algebraic structures, combinatorial probability, graph theory. Prerequisites:
MTH 133 or 223;
MTH 175 or 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, numerical methods for ordinary differential equations. Prerequisites:
MTH 133, 223 or 232.
Credits
3(3-0)
Continuation of
MTH 438. Approximation theory, iterative techniques in matrix algebra, eigenvalue approximation, numerical solutions of nonlinear systems, boundary-value problems, and partial differential 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)
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 233. Pre/Co- requisite: One of
MTH 523, 532, 545.
Credits
3(3-0)
An introduction to the theory, practical applications, and algorithms of linear programming and nonlinear programming. Prerequisites:
MTH 233 or graduate standing.
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)
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 or graduate status.
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. The real number system, sequences, limits, continuity, differentiation, integration, exponential and logarithmic functions, series, uniform convergence. Credits will not count towards MA or Ph.D. degree requirements in mathematics. Prerequisites:
MTH 233, 332; or graduate status.
Credits
3(3-0)
Continuation of
MTH 532. Rigorous development of calculus of several variables. Limits, continuity, differentiation, integration, implicit and inverse function theorems, differential forms. Prerequisite:
MTH 532.
Credits
3(3-0)
High order equations, series solutions, Bessel functions, nonlinear differential equations, stability, introduction to partial differential equations, boundary value problems, SturmLiouville theory, applications to physical/engineering sciences. Prerequisites:
MTH 233, 334; or graduate standing.
Credits
3(3-0)
Differential geometry of curves and surfaces. Curvature, maps between surfaces, vector fields and differential forms, Stokes' theorem, Euler characteristic, Gauss-Bonnet theorem. Prerequisites:
MTH 233, 332; or admission to graduate program in Mathematics. Recommended:
MTH 532.
Credits
3(3-0)
Sets, functions, metric spaces, topological spaces, homeomorphisms, compactness and connectedness, quotient spaces. 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)
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)
Survey of the history of mathematics, focusing on topics taught in secondary schools and undergraduate courses. Emphasis on representing diverse mathematics traditions and legacies. Prerequisite:
MTH 332 or graduate standing.
Credits
3(3-0)
Introduction to enumerative combinatorics and graph theory. Topics include the graphs, networks and flows, partially ordered sets, principle of inclusion-exclusion, generating functions, and partitions. Prerequisites:
MTH 523.
Credits
3(3-0)
Theory and application of linear programming and mathematical programming. Simplex method, duality theory and sensitivity analysis, interior point algorithm, and mathematical programming problems. Prerequisite:
MTH 233 or graduate standing.
Credits
3(3-0)
Continuation of
MTH 586. Dynamic programming and optimization. Theory and application of stochastic modeling. Game, queuing and network theory, inventory models, Markov processes, decision analysis, simulation. 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)
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)
The in-depth study of a topic in mathematics under the direction of a faculty member. Prerequisite: Permission of instructor.
Credits
1-6(Spec)