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. This course may be offered in an online or hybrid format. Prerequisite: Placement.
Credits
3(3-0)
Prerequisites
Placement
Corequisites
None.
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)
Prerequisites
None.
Corequisites
None.
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)
Prerequisites
None.
Corequisites
None.
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. Prerequisite: Placement or successful completion of MTH 101.
Credits
3(3-0)
Prerequisites
Placement or successful completion of MTH 101
Corequisites
None.
Cross Listed Courses
None.
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)
Prerequisites
MTH 105; or placement
Corequisites
None.
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)
Prerequisites
MTH 105; or placement
Corequisites
None.
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. (University Program Group II- B: Quantitative and Mathematical Sciences)
Credits
3(3-0)
Prerequisites
None.
Corequisites
None.
Functions and their graphs, inequalities, analytic geometry. Satisfies Mathematics Competency. Prerequisite:
MTH 107 or 109 or placement.
Credits
4(4-0)
Prerequisites
MTH 107 or MTH 109 or placement
Corequisites
None.
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)
Prerequisites
MTH 107, MTH 109; or MTH 130; or placement
Corequisites
None.
Techniques of integration, applications of definite integrals, improper integrals, elementary differential equations, infinite series, Taylor series, and polar coordinates. Prerequisite:
MTH 132 or placement.
Credits
4(4-0)
Prerequisites
MTH 132 or placement
Corequisites
None.
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. Prerequisite: C or better in one of: MTH 105, MTH 107, MTH 130, MTH 132. Pre/co-requisite: EDU 107.
Credits
3(3-0)
Prerequisites
C or better in one of: MTH 105, MTH 107, MTH 130, MTH 132
Corequisites
None.
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)
Prerequisites
C or better in one of: MTH 105, MTH 107, MTH 109, MTH 130, MTH 132
Corequisites
None.
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)
Prerequisites
MTH 151 with a grade of C or better; one of: MTH 105, MTH 107, MTH 109, MTH 130, MTH 132
Corequisites
None.
Topics in discrete mathematics including logic, Boolean Algebra, sequences, mathematical induction, recursion, set theory, relations, functions, and combinatorial counting, with applications to computer science. Prerequisite: MTH 130 or MTH 132.
Credits
3(3-0)
Prerequisites
MTH 130 or MTH 132
Corequisites
None.
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
Prerequisites
MTH 105 or MTH 107 or MTH 109 or MTH 113 or MTH 130 or MTH 132 or MTH 133(University Program Group II-B: Quantitative and Mathematical Sciences)
Corequisites
None.
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)
Prerequisites
MTH 107 or placement
Corequisites
None.
Systems of linear equations, matrices, determinants, vectors, vector spaces, eigenvalues, linear transformations, applications and numerical methods. Prerequisite:
MTH 132.
Credits
3(3-0)
Prerequisites
MTH 132
Corequisites
None.
First and second order differential equations, linear systems, matrices, vector spaces, eigenvalues and eigenvectors, systems of linear differential equations, Laplace transforms. May not be counted towards a 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)
Prerequisites
MTH 133
Corequisites
None.
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)
Prerequisites
MTH 133 or MTh 232
Corequisites
None.
The teaching and learning of negative numbers, fractions, decimals, percents, and proportional reasoning while using High Leverage Practices in grades PK-6. Admission limited to students pursuing a B.S. in Ed., Teaching Grades PK-3, Teaching Grades 3-6 major or Teaching Grades PK-6 major. Prerequisites: MTH 150 with a grade of C or better; C or better in one of: MTH 105, MTH 107, MTH 130, MTH 132.
Credits
3(3-0)
Prerequisites
MTH 150 with a grade of C or better; C or better in one of: MTH 105, MTH 107, MTH 130, MTH 132.
Corequisites
None.
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)
Prerequisites
Signed major or minor in Elementary Mathematics
Corequisites
None.
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)
Prerequisites
Signed major or minor in Elementary Mathematics
Corequisites
None.
Examination of issues related to the teaching and learning of number and operation, proportional reasoning, and algebraic concepts using High Leverage Practices in grades 5-12. Prerequisites: MTH 132 with a B- or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Credits
3(3-0)
Prerequisites
MTH 132 with a B- or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Corequisites
None.
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)
Prerequisites
MTH 223; signed major or minor in secondary mathematics
Corequisites
None.
The teaching and learning of measurement and transformational geometry while using High Leverage Practices in grades 5-12. Prerequisite: MTH 260 with a C+ or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Credits
3(3-0)
Prerequisites
C+ or better in MTH 260; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Corequisites
None.
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)
Prerequisites
Permission of instructor.
Corequisites
None.
Divisibility, Euclidean algorithm, prime factorization, congruences, elementary Diophantine equations, and applications to cryptography. Does not count toward a major but may count toward a minor in Mathematics. Prerequisite: MTH 175 or MTH 332.
Credits
3(3-0)
Prerequisites
MTH 175 or MTH 332
Corequisites
None.
Study of several fundamental concepts in mathematics including logic, set theory, principles of counting, relations and functions, cardinality, and 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 132 and 175; or Pre/Co-requisites: MTH 223 or 232.
Credits
3(3-0)
Prerequisites
MTH 132, MTH 175
Corequisites
None.
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)
Prerequisites
MTH 133, MTH 223
Corequisites
None.
An advanced study of Euclidean and Non-Euclidean geometries from an axiomatic and historical standpoint. Prerequisite:
MTH 332.
Credits
3(3-0)
Prerequisites
MTH 332
Corequisites
None.
The teaching and learning of attribution: patterns, shapes, measurement, and data while using High Leverage Practices in grades PK-6. Admission limited to students pursuing a B.S. in Ed., Teaching Grades PK-3, Teaching Grades 3-6 major or Teaching Grades PK-6 major. Prerequisites: MTH 250 with a grade of C or better; C or better in one of: MTH 105, MTH 107, MTH 130, MTH 132.
Credits
3(3-0)
Prerequisites
MTH 250 with a grade of C or better; C or better in one of: MTH 105, MTH 107, MTH 130, MTH 132.
Corequisites
None.
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)
Prerequisites
MTH 256; MTH 152 with grade of B or better
Corequisites
None.
The teaching and learning of statistics and probability content in grades 5-12, with an emphasis on designing and understanding research and real-world applications in mathematics education. Prerequisites: MTH 265 with a C+ or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Credits
3(3-0)
Prerequisites
MTH 265 with a C+ or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Corequisites
None.
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)
Prerequisites
MTH 332; C+ or better in MTH 261; signed major or minor in secondary mathematics teaching
Corequisites
None.
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)
Prerequisites
MTH 332; C+ or better in MTH 261; signed major or minor in secondary mathematics
Corequisites
None.
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)
Prerequisites
Permission of instructor
Corequisites
None.
Basic solution methods including Fourier series, separation of variables, finite difference, and Green’s Functions to solve wave, heat, and Poisson equations. Prerequisites: MTH 233, MTH 334.
Credits
3(3-0)
Prerequisites
MTH 233, MTH 334
Corequisites
None.
Complex numbers, analytic functions, Laurent series, Cauchy integral formula. Prerequisites:
MTH 233, 332.
Credits
3(3-0)
Prerequisites
MTH 233, MTH 332
Corequisites
None.
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)
Prerequisites
MTH 133, MTH 223 or MTH 232
Corequisites
None.
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)
Prerequisites
MTH 438
Corequisites
None.
Planning and implementing effective mathematics instruction for grades 5-12, including facilitating discourse, assessing student thinking, professional development, and connections between mathematics and the curriculum. Prerequisites: MTH 360 with a C+ or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Credits
4(Spec)
Prerequisites
MTH 360 with a C+ or better; declared a Teaching Mathematics Grades 7-12 minor, a Teaching Mathematics Grades 5-12 major, or a Teaching Mathematics Grades 5-9 minor.
Corequisites
None.
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)
Prerequisites
MTH 341; C+ or better in MTH 261, MTH 362, MTH 363; signed major or minor in secondary mathematics
Corequisites
None.
Problem-solving techniques demonstrated through solutions of Putnam Examination problems. Designed particularly for those students interested in taking the Putnam Examination. Repeatable up to 4 hours. Prerequisites: MTH 233; permission of instructor.
Credits
1-4(Spec)
Prerequisites
MTH 233; permission of instructor
Corequisites
None.
Subject matter not included in regular course. May be taken more than once, total credit not to exceed 6 hours. Prerequisite: Permission of instructor.
Credits
1-6(Spec)
Prerequisites
Permission of instructor.
Corequisites
None.
Introduction to research experience in Mathematics. Research must be supervised by a Mathematics faculty member. CR/NC only. Prerequisites: Completion of at least 30 credit hours in mathematics and permission of project advisor.
Credits
3(3-0)
Prerequisites
Completion of at least 30 credit hours in mathematics and permission of project advisor.
Corequisites
None.
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)
Prerequisites
MTH 233
Corequisites
None.
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)
Prerequisites
MTH 233 or graduate standing
Corequisites
None.
Properties of integers, divisibility, the Euclidean algorithm, distribution of primes, congruences, arithmetic functions, quadratic reciprocity. Prerequisite: MTH 523 or graduate standing.
Credits
3(3-0)
Prerequisites
MTH 523 or graduate standing.
Corequisites
None.
Groups, rings, integral domains, fields, and fundamental homomorphism theorems. Prerequisite:
MTH 332 or graduate status.
Credits
3(3-0)
Prerequisites
MTH 332 or graduate status
Corequisites
None.
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)
Prerequisites
MTH 523 or graduate status
Corequisites
None.
Representation theory of finite groups, Specht modules, combinatorics of Young tableaux, and symmetric functions. Prerequisite:
MTH 525.
Credits
3(3-0)
Prerequisites
MTH 525
Corequisites
None.
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)
Prerequisites
MTH 233, MTH 332; or graduate status
Corequisites
None.
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)
Prerequisites
MTH 532
Corequisites
None.
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)
Prerequisites
MTH 233, MTH 334; or graduate standing
Corequisites
None.
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)
Prerequisites
MTH 233, MTH 332; or admission to graduate program in Mathematics
Corequisites
None.
Sets, functions, metric spaces, topological spaces, homeomorphisms, compactness and connectedness, quotient spaces. Prerequisite:
MTH 332 or graduate status.
Credits
3(3-0)
Prerequisites
MTH 332 or graduate status
Corequisites
None.
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)
Prerequisites
MTH 254 and MTH 351
Corequisites
None.
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)
Prerequisites
MTH 254, MTH 351
Corequisites
None.
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)
Prerequisites
MTH 256
Corequisites
None.
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)
Prerequisites
MTH 332 or graduate standing
Corequisites
None.
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)
Prerequisites
MTH 523
Corequisites
None.
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)
Prerequisites
MTH 233 or graduate standing
Corequisites
None.
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)
Prerequisites
Permission of instuctor.
Corequisites
None.
The in-depth study of a topic in mathematics under the direction of a faculty member. Prerequisite: Permission of instructor.
Credits
1-6(Spec)
Prerequisites
Permission of instructor
Corequisites
None.