MATH 1500    Mathematics Support    0-3 s.h.

This course provides additional support to students in their mathematics courses. Does not count toward the degree. May be repeated. Grading is ABC/NC.
Prereq.: Permission of the Department of Mathematics and Statistics.

MATH 1500R    Mathematics Support Calculus 2    1-3 s.h.

This course is for students in the algebra pathway (mainly pre-STEM and pre-business) who wish to improve their mathematics placement and skills in desired areas of mathematics. Topics covered are uniquely determined by the student’s initial placement assessment. Does not count toward the degree. May be repeated. Grading is ABC/NC.

MATH 1510    College Algebra    4 s.h.

This course is primarily intended to prepare STEM students (along with MATH 1511) for MATH 1552, 1570 or 1571. Topics include real numbers, equations and inequalities, linear, quadratic, polynomial, exponential, and logarithmic functions, graphing techniques, systems of equations, and applications. The course fulfills the general education requirements for mathematics.
Prereq.: YSU Math Placement Level 35 or higher .
Gen Ed: Mathematics.

MATH 1510C    College Algebra with Co-requisite Support    6 s.h.

This course is primarily intended to prepare STEM students (along with MATH 1511C) for MATH 1552, 1570 or 1571. Topics include real numbers, equations and inequalities, linear, quadratic, polynomial, exponential, and logarithmic functions, graphing techniques, systems of equations, and applications. It includes corequisite support for students requiring remediation in mathematics while studying college algebra. Emphasis will be placed on prerequisite skills needed for college algebra as well as just in time review through the use of appropriate technology. The course fulfills the general education requirements for mathematics.
Prereq.: YSU Math Placement Level 20.
Gen Ed: Mathematics.

MATH 1511    Trigonometry    3 s.h.

This course, along with MATH 1510 is primarily intended to prepare STEM students for MATH 1570 or MATH 1571. Topics include algebraic structure and graphs of trigonometric functions and inverse trigonometric functions, angle measurements, similar triangles, trigonometric identities, vectors, complex numbers, polar coordinates and solving trigonometric equations with applications.
Prereq.: YSU Math Placement Level 35 or higher.
Gen Ed: Mathematics.

MATH 1511C    Trigonometry with Co-requisite Support    4 s.h.

This course, along with MATH 1510C is primarily intended to prepare STEM students for MATH 1570 or MATH 1571. Topics include algebraic structure and graphs of trigonometric functions and inverse trigonometric functions, angle measurements, similar triangles, trigonometric identities, vectors, complex numbers, polar coordinates and solving trigonometric equations with applications. This course includes support for students requiring remediation in mathematics while they are studying trigonometry. Emphasis will be placed on prerequisite skills needed for trigonometry as well as just in time review through the use of appropriate technology.
Prereq.: YSU Math Placement Test Level 20 and a grade of C or better in MATH 1510 or MATH 1510C .
Gen Ed: Mathematics.

MATH 1513    Algebra and Transcendental Function    5 s.h.

Function concepts including trigonometric, exponential, and logarithmic functions. Application problems and graphing. Supplemental topics.
Prereq.: Math Placement Level 45 or higher.
Gen Ed: Mathematics.

MATH 1552    Applied Business Calculus    4 s.h.

Apply functions and linear systems to business including use of technology; mathematics of finance and an introduction to limits, derivatives and integrals with business, management, economics, life science and social science applications. Credit will not be given to students who have completed MATH 1570, 1571, 1571H, 1581, 1581H, or 1585H.
Prereq.: One of Math 1510, Math 1510C, or Math 1513 with grade of "C" or better or at least Level 45 on the YSU Mathematics Placement Test.
Gen Ed: Mathematics.

MATH 1564    Foundations of Middle School Mathematics 1    4 s.h.

Conceptual foundations of topics from number theory, operations, functions, algebra, and data analysis. Emphasis on multiple approaches and representations, problem solving, and communication of mathematical reasoning. Includes inquiry-based experiences with manipulatives and computing technology.
Prereq.: Level 35 on the Mathematics Placement Test or C or better in either MATH 1510 or MATH 1510C.

MATH 1570    Applied Calculus 1    4 s.h.

The elements of differential and integral calculus, with emphasis on applications. Analytical geometry, differentiation and integration techniques and series representations. Introduction to differential equations, transform calculus, and Fourier analysis. This is a basic methods course particularly adapted for those who require applied topics in mathematics. Not applicable toward the Mathematics major. Credit will not be given for both MATH 1552 and MATH 1570.
Prereq.: At least Level 70 on the YSU Mathematics Placement Test or “C” or better in either MATH 1510 and MATH 1511, MATH 1510C and MATH 1511C, or MATH 1513.
Gen Ed: Mathematics.

MATH 1571    Calculus 1    4 s.h.

This course is an introduction to calculus. The main concepts to be studied are limits, continuity, rates of change, derivatives, integrals and applications.
Prereq.: At least Level 70 on the YSU Mathematics Placement Test or C or better in either MATH 1510 and MATH 1511, MATH 1510C and MATH 1511C, or MATH 1513.
Gen Ed: Mathematics.

MATH 1571H    Honors Calculus 1    4 s.h.

A sequence of integrated courses in analytic geometry and calculus. A detailed study of limits, derivatives, and integrals of functions of one and several variables with applications.
Prereq.: MATH 1513, minimum grade of "C", or MATH 1510 and MATH 1511, minimum grade of "C" in both courses, or at least Level 70 on the Mathematics Placement Test.
Gen Ed: Mathematics.

MATH 1572    Calculus 2    4 s.h.

A sequence of integrated courses in analytic geometry and calculus. A detailed study of limits, derivatives, and integrals of functions of one and several variables with applications.
Prereq.: C or better in MATH 1571, MATH 1571H, MATH 1581, MATH 1581H, or MATH 1585H.

MATH 1572H    Honors Calculus 2    4 s.h.

A sequence of integrated courses in analytic geometry and calculus. A detailed study of limits, derivatives, and integrals of functions of one and several variables with applications.
Prereq.: C or better in MATH 1571, MATH 1571H, MATH 1581, MATH 1581H, or MATH 1585H.

MATH 1581    Calculus for the Health Sciences 1    4 s.h.

This is the first course in a two-semester sequence of calculus courses intended for students majoring in the biological or environmental sciences and/or preparing for admission to medical, pharmaceutical, dental, veterinary, or other life-science-related professional schools. We will cover definitions of trigonometric functions, solving trigonometric equations, functions, limits and derivatives, exponential and logarithmic functions, and applications.
Prereq.: At least Level 70 on the YSU Mathematics Placement Test or “C” or better in MATH 1510/MATH 1510C and MATH 1511/MATH 1511C or "C" or better in MATH 1513.
Gen Ed: Mathematics.

MATH 1581H    Honors Calculus for the Health Sciences 1    4 s.h.

This is the first course in a two-semester sequence of calculus courses intended for students majoring in the biological or environmental sciences and/or preparing for admission to medical, pharmaceutical, dental, veterinary, or other life-science-related professional schools. We will cover definitions of trigonometric functions, solving trigonometric equations, functions, limits and derivatives, exponential and logarithmic functions, and applications.
Prereq.: At least Level 70 on the YSU Mathematics Placement Test or “C” or better in MATH 1510/MATH 1510C and MATH 1511/MATH 1511C or "C" or better in MATH 1513.
Gen Ed: Mathematics.

MATH 1582    Calculus for the Health Sciences 2    4 s.h.

This is the second course in a two-semester sequence of calculus courses intended for students majoring in the biological or environmental sciences and/or preparing for admission to medical, pharmaceutical, dental, veterinary, or other life-science-related professional schools. We will cover indefinite and definite integrals, probability, functions of several variables, least squares, differential equations.
Prereq.: "C" or better in MATH 1571, MATH 1571H, MATH 1581, or MATH 1581H.
Gen Ed: Mathematics.

MATH 1582H    Honors Calculus for the Health Sciences 2    4 s.h.

This is the second course in a two-semester sequence of calculus courses intended for students majoring in the biological or environmental sciences and/or preparing for admission to medical, pharmaceutical, dental, veterinary, or other life-science-related professional schools. We will cover indefinite and definite integrals, probability, functions of several variables, least squares, differential equations.
Prereq.: "C" or better in MATH 1571, MATH 1571H, MATH 1581, or MATH 1581H.
Gen Ed: Mathematics.

MATH 1585H    Honors Accelerated Calculus 1    5 s.h.

A sequence of honors courses in analytical geometry and calculus which cover essentially the same material as MATH 1571, 1572, 2673, in two semesters instead of three. A detailed study of limits, derivatives, and integrals of functions of one and several variables and their applications. This sequence will be offered at most once during each academic year.
Prereq.: ACT math subscore of 32, AP Calculus score of 4 or higher, or at least one unit of high school calculus with a score of 28 or higher on placement exam or instructor permission.
Coreq.: MATH 1586H.
Gen Ed: Mathematics.

MATH 1586H    Honors Calculus Laboratory 1    1 s.h.

Introduction to mathematical modeling of topics covered in calculus. Emphasizes the use of technology such as computer algebra systems, technical document processing, and graphics software for solving problems and reporting solutions.
Coreq.: MATH 1585H.

MATH 2623    Quantitative Reasoning    3 s.h.

Mathematics models emphasizing basic ideas in mathematics and statistics, stressing concept formation rather than manipulative skills.
Prereq.: YSU Mathematics Placement Level 15 or higher.
Gen Ed: Mathematics.

MATH 2623C    Quantitative Reasoning with Co-Requisite Support    5 s.h.

Mathematics models emphasizing basic ideas in mathematics and statistics, stressing concept formation rather than manipulative skills. This course includes corequisite support for students requiring remediation in mathematics while studying quantitative reasoning. Emphasis for the support will be placed on prerequisite skills needed for MATH 2623 as well as just in time review through the use of appropriate technology.
Gen Ed: Mathematics.

MATH 2623H    Honors Quantitative Reasoning    3 s.h.

Mathematics models emphasizing basic ideas in mathematics and statistics, stressing concept formation rather than manipulative skills.
Prereq.: at least Level 20 on the Mathematics Placement Test or Level 10 on Mathematics Placement Test and concurrent enrollment in MATH 2623C.
Gen Ed: Mathematics.

MATH 2661    Mathematics for Elementary Teachers 1    4 s.h.

A conceptual development of mathematics topics underlying today's Pre-K-grade 5 curriculum (Number, Operations, and Algebraic Thinking). Emphasis on multiple approaches, problem solving, and communication of mathematics. Incorporates manipulatives, technology, and classroom activities developmentally appropriate for early and elementary children.
Prereq.: At least Level 15 on the Mathematics Placement Test .
Gen Ed: Mathematics.

MATH 2661C    Mathematics for Elementary Teachers I with Co-Requisite Support    6 s.h.

A conceptual development of mathematics topics underlying today's Pre-K-grade 5 curriculum (Number, Operations, and Algebraic Thinking). Emphasis on multiple approaches, problem solving, and communication of mathematics. Incorporates manipulatives, technology, and classroom activities developmentally appropriate for early and elementary children. This course includes corequisite support for students requiring remediation in mathematics. Emphasis will be placed on prerequisite skills needed for Algebra, Number and Operations, and Quantity topics as well as just in time review through the use of appropriate technology.
Prereq.: Math Placement Level 10 or higher.

MATH 2662    Mathematics for Elementary Teachers 2    4 s.h.

A conceptual development of mathematics topics underlying today's Pre-K-grade 5 curriculum (Decimals, Ratios, Percents, Geometry, Measurement, Probability & Statistics). Emphasis on multiple approaches, problem solving, and communication of mathematics. Incorporates manipulatives, technology, and classroom activities developmentally appropriate for early and elementary children.
Prereq.: C or better in either MATH 2661 or MATH 2661C.
Gen Ed: Mathematics.

MATH 2665    Foundations of Middle School Mathematics 2    4 s.h.

Conceptual foundations of topics from geometry, measurement, and probability. Emphasis on multiple approaches and representations, problem solving, and communication of mathematical reasoning. Includes inquiry-based experiences with manipulatives and computing technology.
Prereq.: Level 35 on the Mathematics Placement Test or C or better in either MATH 1510 or MATH 1510C.
Gen Ed: Mathematics.

MATH 2670    Applied Calculus 2    5 s.h.

The elements of differential and integral calculus, with emphasis on applications. Analytical geometry, differentiation and integration techniques and series representations. Introduction to differential equations, transform calculus, and Fourier analysis. This is a basic methods course particularly adapted for those who require applied topics in mathematics. Not applicable toward the Mathematics major.
Prereq.: Grade of "C" or better in MATH 1570 or MATH 1571.
Gen Ed: Mathematics.

MATH 2673    Calculus 3    4 s.h.

A sequence of integrated courses in analytic geometry and calculus. A detailed study of limits, derivatives, and integrals of functions of one and several variables with applications.
Prereq.: MATH 1572 with a "C" or better.

MATH 2673H    Honors Calculus 3    4 s.h.

A sequence of integrated courses in analytic geometry and calculus. A detailed study of limits, derivatives, and integrals of functions of one and several variables with applications.
Prereq.: MATH 1572 with a "C" or better.

MATH 2686H    Honors Accelerated Calculus 2    5 s.h.

A sequence of honors courses in analytical geometry and calculus which cover essentially the same material as MATH 1571, 1572, 2673, in two semesters instead of three. A detailed study of limits, derivatives, and integrals of functions of one and several variables and their applications. This sequence will be offered at most once during each academic year.
Prereq.: "C" or better in MATH 1585H.
Coreq.: MATH 2687H.
Gen Ed: Mathematics.

MATH 2687H    Honors Calculus Laboratory 2    1 s.h.

Introduction to mathematical modeling of topics covered in calculus. Emphasizes the use of technology such as computer algebra systems, technical document processing, and graphics software for solving problems and reporting solutions.
Coreq.: MATH 2686H.

MATH 3702    Problem Solving Techniques for Secondary Mathematics    3 s.h.

Approaches to and practice with problem solving with examples from a broad spectrum of mathematics. Emphases include problems at the level of the Ohio Assessment for Educators (OAE) examination for integrated mathematics and problems suitable for high school contests. Not applicable to the mathematics major or minor.
Prereq.: Limited to TELS majors with MATH 1572, 1572H or MATH 1585H or consent of instructor.

MATH 3705    Differential Equations    3 s.h.

Methods and theory of solving differential equations with applications. Existence, uniqueness. First order equations. Higher order linear equations. Introduction to partial differential equations and boundary value problems, including Laplace's equation.
Prereq.: C or better in one of MATH 2673, MATH 2673H, or MATH 2686H.

MATH 3705H    Honors Differential Equations    3 s.h.

Methods and theory of solving differential equations with applications. Existence, uniqueness. First order equations. Higher order linear equations. Introduction to partial differential equations and boundary value problems, including Laplace's equation.
Prereq.: C or better in one of MATH 2673, MATH 2673H, or MATH 2686H.

MATH 3715    Discrete Mathematics    3 s.h.

A course in discrete mathematical structures to prepare students for advanced courses. Topics include set theory, functions and relations, logic and quantifiers, truth tables and Boolean expressions, induction and other techniques of proof, and graphs. Credit will not be given for both CSCI 3710 and MATH 3715.
Prereq.: C or better in either MATH 1572, MATH 1572H, or MATH 1585H.

MATH 3715H    Honors Discrete Mathematics    3 s.h.

A course in discrete mathematical structures to prepare students for advanced courses. Topics include set theory, functions and relations, logic and quantifiers, truth tables and Boolean expressions, induction and other techniques of proof, and graphs. Credit will not be given for both CSCI 3710 and MATH 3715.
Prereq.: C or better in either MATH 1572, MATH 1572H, or MATH 1585H.

MATH 3718    Linear Algebra and Discrete Mathematics for Engineers    3 s.h.

This introduction to linear algebra and discrete mathematics covers the following topics: systems of linear equations, logic and proof, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, set theory, and counting. The course does not count toward the mathematics major. Credit will not be given for MATH 3718 and both MATH 3715 and MATH 3720.
Prereq.: "C" or better in MATH 1572 or MATH 1572H.

MATH 3720    Linear Algebra and Matrix Theory    3 s.h.

Matrices; matrix operations; linear transformations; applications.
Prereq.: "C" or better in either MATH 1570, MATH 1571, MATH 1571H, MATH 1581, MATH 1581H, or MATH 1585H.

MATH 3720H    Honors Linear Algebra and Matrix Theory    3 s.h.

Matrices; matrix operations; linear transformations; applications.
Prereq.: "C" or better in either MATH 1572, MATH 1572H, or MATH 1585H.

MATH 3721    Abstract Algebra 1    4 s.h.

Introduction to abstract algebra investigating fundamental concepts in group and ring theory. Topics include groups, subgroups, cyclic groups, permutation groups, cosets, direct products, homomorphisms, factor groups, rings, integral domains and polynomial rings.
Prereq.: "C" or better in MATH 3720 and either MATH 3715 or CSCI 3710.

MATH 3745    Topics in Mathematical Modeling    3 s.h.

This course exposes students to methods of mathematical modeling through applications. Tools used to develop, refine, test, and present mathematical models will be discussed. Topics covered and projects undertaken may vary with each course offering and are designed to expose students to the types of problems modeled by applied mathematicians working in business, government, industry, or research. Course may be repeated depending on projects or topics presented.
Prereq.: "C" or better in MATH 2673, MATH 2673H, or MATH 2686H or permission of the instructor.

MATH 3745H    Honors Topics in Mathematical Modeling    3 s.h.

3745h. This course exposes students to methods of mathematical modeling through applications. Tools used to develop, refine, test, and present mathematical models will be discussed. Topics covered and projects undertaken may vary with each course offering and are designed to expose students to the types of problems modeled by applied mathematicians working in business, government, industry, or research. Course may be repeated depending on projects or topics presented.
Prereq.: "C" or better in MATH 2673, MATH 2673H, or MATH 2686H or permission of the instructor.

MATH 3750    History of Mathematics    3 s.h.

A survey of the historical development of mathematics.
Prereq. or Coreq.: MATH 3715.

MATH 3750H    Honors History of Mathematics    3 s.h.

A survey of the historical development of mathematics.
Prereq. or Coreq.: MATH 3715.

MATH 3751    Real Analysis 1    4 s.h.

Introduction to the properties of the real number system and metrics and metric properties, with critical analysis of limits, continuity, differentiability, integration, and other fundamental concepts underlying the calculus.
Prereq.: "C" or better in MATH 3715 or CSCI 3710 and one of MATH 2673, MATH 2673H, or MATH 2686H.

MATH 3767    Algebra/Geometry for Middle School Teachers 1    4 s.h.

MATH 3767, MATH 3768 is an integrated, conceptual, and function-centered approach to the foundations of algebra, geometry, and trigonometry for preservice middle childhood mathematics specialists. Emphasis on multiple approaches and representations, problem solving, and communication of mathematical reasoning. Includes inquiry-based experiences. MATH 3767 focuses on conceptual foundations of algebra and parts of coordinate geometry. Not applicable to the mathematics major.
Prereq.: Level 35 on the Mathematics Placement Test or C or better in either MATH 1510 or MATH 1510C.

MATH 3768    Algebra/Geometry for Middle School Teachers 2    4 s.h.

MATH 3767 and MATH 3768 is an integrated, conceptual, and function-centered approach to the foundations of algebra, geometry, and trigonometry for preservice middle childhood mathematics specialists. Emphasis on multiple approaches and representations, problem solving, and communication of mathematical reasoning. Includes inquiry-based experiences. MATH 3768 focuses on synthetic, analytic and transformational geometry. Not applicable to the mathematics major.
Prereq.: C or better in MATH 2665 and Level 35 on the Mathematics Placement Test or C or better in MATH 2665 and C or better in either MATH 1510 or MATH 1510C.

MATH 3795    Topics in Mathematics    1-4 s.h.

The study of a mathematical topic or the development of a special area of mathematics. May be repeated once.
Prereq.: 'C' or better in a general education mathematics course and permission of the instructor.

MATH 4822    Abstract Algebra 2    3 s.h.

A continuation of MATH 3721 with special emphasis on fields. Additional topics in pure or applied algebra.
Prereq.: MATH 3721 or equivalent.

MATH 4823    Abstract Algebra 3    3 s.h.

This course introduces advanced topics in field theory. Topics may include principal ideal domains, irreducibility, quotient rings, algebraic extensions, finite fields, splitting fields, and the Galois group.
Prereq.: MATH 4822.

MATH 4826    Advanced Linear Algebra    3 s.h.

The study of more advanced topics in linear algebra, including abstract vector spaces and linear transformations. May include applications of linear algebra.
Prereq.: MATH 3721.

MATH 4830    Foundations of Geometry    3 s.h.

The development of Euclidean and non-Euclidean geometries from postulate systems.
Prereq.: "C" or better in MATH 3715.

MATH 4832    Euclidean Transformations    3 s.h.

General properties of functions and transformations; isometries and transformations of the Euclidean plane; the complex plane, its geometry and subfields; transformational, analytical, and vector approaches to Euclidean geometry; connections to other branches of mathematics and applications.
Prereq.: "C" or better in MATH 3720 and MATH 4830.

MATH 4847    Introduction to Applied Mathematics    3 s.h.

This course surveys topics in applied mathematics and may include scaling, perturbation methods, stationary phase analysis, multi-scale asymptotics, transform methods, Green's functions, discrete models, the calculus of variations, or optimization.
Prereq.: C or better in MATH 2673.

MATH 4852    Real Analysis 2    3 s.h.

This course covers topics in the analysis of functions, mainly of several variables, and may include uniform convergence of sequences of functions and some consequences, functions on n-space, derivatives in vector spaces, and results such as the mean value theorem, Taylor's formula, inverse mapping theorem, and the implicit mapping theorem.
Prereq.: MATH 3720 and MATH 3751 or equivalent.

MATH 4855    Ordinary Differential Equations    3 s.h.

A second course in differential equations with emphasis on nonlinear problems and qualitative methods or on boundary value problems. Topics are chosen from: proofs of fundamental theorems, phase plane analysis, limit cycles and the Poincare-Bendixon theorem, biological models, stability via Liapunov functions, asymptotic methods, and boundary value problems.
Prereq.: MATH 3705 and MATH 3720.

MATH 4857    Partial Differential Equations    3 s.h.

Introduction to partial differential equations (PDE) including solution techniques and applications. Classifications of the basic types of PDE's (hyperbolic, parabolic and elliptic) and dependence on boundary and initial conditions. Topics include Fourier series, integral transforms (Fourier, Laplace), and applications in vibrations, electricity, heat transfer, fluids or other selected topics.
Prereq.: MATH 3705 and MATH 3720.

MATH 4869    Functions, Calculus, and Applications for Middle School Teachers    3 s.h.

Polynomial and exponential functions, limits, derivatives, integrals, and applications. Interpretation of slope and area in graphs of functions from applied settings. Applications of limits to the derivations of geometric formulas. Relations between tables, graphs, and the symbolic representation of functions.
Prereq.: "C" or better in MATH 3767 or consent of instructor.

MATH 4870    Mathematics Concepts for Middle School Teachers    3 s.h.

Problem solving from a broad spectrum of mathematics topics (Number Sense and Operations; Algebra, Functions, and Calculus; Measurement and Geometry; Statistics, Probability, and Discrete Mathematics) designed to prepare future middle school mathematics teachers to address Common Core Standards. May be repeated 2 times.
Prereq.: MATH 1564, 2665, MATH 3767, MATH 3768, MATH 4869, and either STAT 2601, STAT 2625 or STAT 2625C.

MATH 4872    Teaching Mathematics in Secondary Schools    3 s.h.

Techniques and materials for effective teaching of secondary school mathematics will be discussed. Not applicable toward the mathematics major or minor. May be repeated once.
Prereq.: Limited to AYA Integrated Mathematics majors who obtained a C or better in MATH 1572, 1572H or MATH 1585H or consent of instructor.

MATH 4875    Complex Variables    3 s.h.

Complex numbers and their geometric representation, analytic functions of a complex variable, contour integration, Taylor and Laurent series, residues and poles, conformal mapping.
Prereq.: MATH 3751 or equivalent.

MATH 4880    Introduction to Topology    3 s.h.

An introduction to the basic concepts of general topology: compactness, connectedness, and continuity in topological spaces.
Prereq.: MATH 3721 and MATH 3751.

MATH 4882    Mathematical Biology Research    1-3 s.h.

Introduction to research in mathematical biology through an interdisciplinary study of a topic in biology and mathematics. May be repeated once. Grading is Traditional/PR. Listed also as BIOL 4882.
Prereq.: MATH 1571 or permission of the instructor.

MATH 4896    Senior Undergraduate Research Project    2 s.h.

Individualized study of a topic in mathematics culminating in a written report and an oral presentation at a national or regional meeting or a local seminar. May be repeated once.
Prereq.: 24 s.h. of mathematics applicable to the mathematics major including either MATH 3721 or MATH 3751 and permission of the department chairperson.
Gen Ed: Capstone.

MATH 4897H    Thesis    2 s.h.

Individualized study of a topic in mathematics culminating in a written report and an oral presentation at a national or regional meeting or a local seminar.
Prereq.: 24 semester hours of mathematics applicable to the mathematics major including both MATH 3721 and MATH 3751 and permission of the department chairperson.
Gen Ed: Capstone.

MATH 5821    Topics in Abstract Algebra    4 s.h.

A course in abstract algebra aimed at developing a broad understanding of the subject. Credit will not be given for both MATH 3721 and MATH 5821.
Prereq.: Permission of graduate coordinator or department chair.

MATH 5828    Number Theory    3 s.h.

A study of congruences, Diophantine equations, quadratic residues, special number theory functions, and selected applications.
Prereq.: MATH 3721.

MATH 5835    Introduction to Combinatorics and Graph Theory    3 s.h.

The pigeonhole principle; permutations, combinations, the binomial theorem; the inclusion-exclusion principle; recurrence relations; graphs and digraphs, paths and cycles, trees, bipartite graphs and matchings.
Prereq.: C or better in either MATH 3715 or CSCI 3710 and C or better in MATH 3720.

MATH 5845    Operations Research    3 s.h.

An introduction to operations research with emphasis on mathematical methods. Topics may include: linear programming, sensitivity analysis, duality theory, transportation problems, assignment problems, transshipment problems, and network problems.
Prereq.: MATH 3715 and MATH 3720.

MATH 5849    Computational Methods for Problems in the Physical Sciences    3 s.h.

Use of contemporary computational approaches to conduct research in the physical sciences using Matlab and supercomputers. Algorithm development and formal exercise tasks may vary depending on the stage of the course, student abilities, and the topic under consideration. Provides application of the techniques discussed in the class to real world situations.
Prereq.: MATH 3705 and PHYS 2610.
Cross-Listed: CSCI 5849 and PHYS 5849.

MATH 5851    Topics in Analysis    4 s.h.

A course in analysis aimed at developing a broad understanding of the subject. Credit will not be given for both MATH 3751 and MATH 5851.
Prereq.: Permission of graduate coordinator or department chair.

MATH 5860    Numerical Analysis 1    3 s.h.

The theory and techniques of numerical computation. The solution of a single equation, interpolation methods, numerical differentiation and integration, direct methods for solving linear systems.
Prereq.: MATH 3720 and CSIS 2610 and MATH 2673, MATH 2673H, or MATH 2686H.

MATH 5861    Numerical Analysis 2    3 s.h.

Numerical methods of initial-value problems, eigenvalue problems, iterative methods for linear and nonlinear systems of equations, and methods involving least squares, orthogonal polynomials, and fast Fourier transforms.
Prereq.: MATH 5860 or equivalent.

MATH 5895    Selected Topics in Mathematics    2-3 s.h.

The study of a standard mathematical topic in depth or the development of a special area of mathematics. May be repeated twice.
Prereq.: 24 s.h. of mathematics applicable to the mathematics major including either MATH 3721 or MATH 3751.

STAT 2601    Introductory Statistics    3 s.h.

Designed for students from different disciplines who desire an introduction to statistical reasoning. Topics include collecting and summarizing data, concepts of randomness and sampling, statistical inference and reasoning, correlation and regression. Credit will not be given for both STAT 2601 and STAT 2625.
Prereq.: "C" or better in MATH 1552 or Level 35 or higher on YSU Mathematics Placement Test.
Gen Ed: Mathematics.

STAT 2625    Statistical Literacy and Critical Reasoning    4 s.h.

An introduction to statistics and its applications. Topics include descriptive statistics, experimental design, probability sampling distribution, statistical inference, correlation and regression. Emphasis on applications, critical reasoning, and data analysis using statistical software. Credit will not be given for both STAT 2601 and STAT 2625.
Prereq.: At least Mathematics Placement Level 15.
Gen Ed: Mathematics.

STAT 2625C    Statistical Literacy and Critical Reasoning with Co-Requisite Support    6 s.h.

An introduction to statistics and its applications. Topics include descriptive statistics, experimental design, probability, sampling distribution, statistical inference, correlation and regression. Emphases are on applications, critical reasoning, and data analysis using statistical software. Includes co-requisite support for basic algebra skills required to be successful in the course.
Gen Ed: Mathematics.

STAT 3717    Statistical Methods    4 s.h.

Probability and statistics designed for students majoring in the natural sciences. Topics include descriptive statistics, probability, estimation, testing hypotheses, analysis of variance, regression and nonparametric statistics. Use of personal computers with computer software will be required. Credit will not be given for both STAT 3717 and STAT 3743.
Prereq.: "C" or better in one of MATH 1552, MATH 1570, MATH 1571, MATH 1571H, MATH 1581, MATH 1581H, MATH 1585H or equivalent.

STAT 3717H    Honors Statistical Methods    4 s.h.

Probability and statistics designed for students majoring in the natural sciences. Topics include descriptive statistics, probability, estimation, testing hypotheses, analysis of variance, regression and nonparametric statistics. Use of personal computers with computer software will be required. Credit will not be given for both STAT 3717 and STAT 3743.
Prereq.: "C" or better in one of MATH 1552, MATH 1570, MATH 1571, MATH 1571H, MATH 1581, MATH 1581H, MATH 1585H or equivalent.

STAT 3743    Probability and Statistics    4 s.h.

A calculus-based probability and statistics course. Topics include descriptive statistics, probability models and related concepts and applications, statistical estimation, and hypothesis testing. Credit will not be given for both STAT 3717 and STAT 3743.
Prereq.: "C" or better in MATH 1572, MATH 1572H, MATH 1581, MATH 1581H or MATH 1585H.

STAT 3743H    Honors Probability and Statistics    4 s.h.

A calculus-based probability and statistics course. Topics include descriptive statistics, probability models and related concepts and applications, statistical estimation, and hypothesis testing. Credit will not be given for both STAT 3717 and STAT 3743/H.
Prereq.: "C" or better in MATH 1572, MATH 1572H, MATH 1581, MATH 1581H or MATH 1585H.

STAT 4817    Applied Statistics    3 s.h.

Application of regression, survey sampling, analysis of variance, design and analysis of experiments, and related topics.
Prereq.: STAT 3717 or STAT 3743 or equivalent.

STAT 4843    Theory of Probability    3 s.h.

The mathematical foundation of probability theory including the study of discrete and continuous distributions. Other topics selected from limit theorems, generating functions, stochastic processes, and applications.
Prereq.: STAT 3743 and one of MATH 2673 or MATH 2686H or consent of department chairperson.

STAT 4844    Theory of Statistics    3 s.h.

The mathematical theory of statistical inferences including likelihood principle, sufficient statistics, theory of statistical estimation, hypothesis testing and related topics.
Prereq.: STAT 4843.

STAT 4848    Applied Regression Time Series    3 s.h.

Statistical methods for regression and time series analysis. Topics include applied linear regression with model fitting and diagnostics, data analysis, and forecasting with time series models.
Prereq.: STAT 3717 or STAT 3743.

STAT 4849    Design of Experiments    3 s.h.

The objective of this course is to learn how to plan, design and conduct experiments efficiently, and apply statistical techniques on resulting data to obtain conclusions. Topics include introduction of experiments, complete randomized designs, blocking designs, factorial designs, nested designs, and random effects models.
Prereq.: STAT 4817 or STAT 6940 or equivalent.

STAT 4896    Statistical Project    2 s.h.

Individualized study of a topic in statistics culminating in a written report and an oral presentation. May be repeated once.
Prereq.: STAT 4817 and permission of chairperson.
Gen Ed: Capstone.

STAT 5802    Mathematical Interest Theory    3 s.h.

Mathematical theory and techniques in analysis of interest. Topics include measurement of interest, force of interest, annuities, amortization, pricing of investment products, and applications to actuarial sciences.
Prereq.: C or better in one of MATH 1552, MATH 1570, MATH 1571, MATH 1571H, h.

STAT 5811    SAS Programming for Data Analytics    3 s.h.

An introduction to SAS programming for data analytics. Topics include using SAS for data processing, manipulation, visualization, reporting and statistical analysis. The objective is for students to develop statistical computing skills for problem solving and decision making. Also listed as ECON 5861.
Prereq.: STAT 3717 or STAT 3743 or STAT 2601 or ECON 3790 or equivalent.

STAT 5814    Statistical Data Mining    3 s.h.

A systematic introduction to data mining with emphasis on various data mining problems and their solutions. Topics include data mining processes and issues, exploratory data analysis, supervised and unsupervised learning, classification, and prediction methods.
Prereq.: STAT 3717 or STAT 3743, or consent of department chairperson.

STAT 5819    Bayesian Statistics    3 s.h.

An introduction to the Bayesian approach to statistical inference for data analysis in a variety of applications. Data analysis using statistical software will be emphasized. Topics include: comparison of Bayesian and frequentist methods, Bayesian model specification, prior specification, basics of decision theory, Markov chain Monte Carlo, Bayes factor, empirical Bayes, Bayesian linear regression and generalized linear models, hierarchical models.
Prereq.: STAT 3717 or STAT 3743 or STAT 4817 or STAT 6940 or equivalent.

STAT 5840    Statistical Computing    3 s.h.

Computational methods used in statistics. Topics include generation and testing of random numbers, computer intensive methods, and simulation studies.
Prereq.: STAT 3717 or STAT 3743.

STAT 5846    Categorical Data Analysis    3 s.h.

Discrete distributions, contingency table analysis, odds ratios, relative risk, logistic regression, hierarchical models.
Prereq.: STAT 3743 or equivalent.

STAT 5849    Multivariate Statistical Analysis    3 s.h.

The statistical analysis of multivariate observations. Topics include multivariate probability distribution theory, regression, analysis of variance, and techniques in data analysis.
Prereq.: MATH 3720 and STAT 3743 or equivalent.

STAT 5857    Statistical Consulting    3 s.h.

The objective of this course is to cultivate the skills necessary to competently engage in statistical consulting. Topics include problem solving, study design, power and sample size, data management, selection and application of statistical methods, ethical practice, and effective visual and literal communication of results.
Prereq.: STAT 4817 or equivalent.

STAT 5895    Special Topics in Statistics    2-3 s.h.

The study of a standard statistical topic in depth or the development of a special area of statistics. May be repeated twice.
Prereq.: STAT 3717 or STAT 3743.