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Undergraduate MATH Courses
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Lower-Division Courses:

Math 1510 prepares students for MATH 1552, MATH 1510 + MATH 1511 prepares STEM students for MATH 1570 and MATH 1571. Real and complex numbers; equations and inequalities; linear, quadratic, polynomial, exponential, and logarithmic functions; graphing techniques, systems of equations, binomial theorem, and applications. Fulfills general education requirements for mathematics. Prereq.:  MATH 1505 or MATH 1507 or Math Placement Level 35. 4 s.h. (syllabus) (Gateway Exam Practice Problems) (Gateway Exam Practice Problem Answers) (Final Exam Review) (Final Exam Review Answers)

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in MATH 1510 (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. Does not count toward a degree. Prereq.: Concurrent enrollment in MATH 1510. 1-3 s.h. (syllabus)

Math 1511 (along with MATH 1510) prepares STEM students for MATH 1570 and MATH 1571. Topics include: Unit circle, angle measurement, similar triangles, trigonometric ratios in the plane, and right triangle trigonometry. Polar coordinates.  Cosine and sine laws. Six trigonometric functions and their graphs. Fundamental identities, equation solving and inverse trigonometric functions. Complex numbers. Real life applications. Fulfills general education requirements for mathematics. Prereq.: MATH 1505 or MATH 1507 or Math Placement Level 35. 4 s.h. (syllabus) (Final Exam Review) (Final Exam Review Answers)

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in MATH 1511 (Trigonometry). Emphasis will be placed on prerequisite skills needed for trigonometry as well as just in time review through the use of appropriate technology. Does not count toward a degree. Prereq.: Concurrent enrollment in MATH 1511. 1-3 s.h. (syllabus)

Math 1513 prepares STEM students for MATH 1570 and MATH 1571. Topics include: Function concepts including trigonometric, exponential, and logarithmic functions. Application problems and graphing. Supplemental topics. Fulfills general education requirements for mathematics. Prereq.: Math Placement Level 45. 5 s.h. (syllabus)

Apply functions, linear systems, linear programming to business including use of technology; mathematics of finance and an introduction to limits, derivatives and integrals with business applications. No credit for students who have completed MATH 1570 or 1571. Fulfills general education requirements for mathematics. Prereq.: MATH 1510 or Math Placement Level 45. 4 s.h. (syllabus) (Final Formula Sheet)

Conceptual foundations of topics from number theory, operations, functions, algebra, geometry, measurement, probability, and data analysis. Emphasis on multiple approaches and representations, problem solving, and communication of mathematical reasoning. Includes inquiry-based laboratory experiences with manipulatives and computing technology. Prereq.: At least Level 40 on the Mathematics Placement Test or concurrent registration in MATH 1504 for MATH 1564, MATH 1564 for MATH 2665. 4+4 s.h. (syllabus 1564, 2665)

Counting techniques, probability, matrices and linear systems. Emphasis on the role of mathematical models in explaining and predicting phenomena in life sciences. Prereq.: Admission to NEOUCOM-YSU program. 2 s.h. (Syllabus)

A study of functions, differential and integral calculus. Emphasis on the role of mathematical models in explaining and predicting phenomena in life sciences. Credit will not be given for both MATH 1581H and 1571. Prereq.: Admission to NEOUCOM-YSU program 4 s.h. (syllabus)

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. Prereq.: Level 90 on the Mathematics Placement Test for MATH 1585H. MATH 1585H for MATH 2686H. This sequence will be offered at most once during each academic year. 5+5 s.h. (1585H syllabus, 2686H syllabus)

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. Prereq.: MATH 1571 or concurrent with 1585H for MATH 1586H. MATH 1572 or concurrent with MATH 1586H for MATH 2687H. 1+1 s.h. (1586H syllabus) (2687H syllabus)

Mathematics models emphasizing basic ideas in mathematics and statistics, stressing concept formation rather than manipulative skills. Prereq.: MATH 1501 or Level 20 on the Mathematics Placement Test. Credit will not be given for both MATH 2623 and 2625. 3 s.h.  (syllabus)

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in MATH 2623 (Quantitative Reasoning). Emphasis will be placed on prerequisite skills needed for MATH 2623 as well as just in time review through the use of appropriate technology. Does not count toward a degree. Prereq.: Concurrent enrollment in MATH 2623. 1-3 s.h. (syllabus)

A conceptual development of mathematics topics underlying today’s Pre-K-grade 3 curriculum. Emphasis on multiple approaches, problem solving, and communication of mathematics. Incorporates classroom activities, manipulatives, technology, and activities developmentally appropriate for young children. Prereq.: MATH 1501 or at least Level 3 on the Mathematics Placement Test for 2651, MATH 2651 for MATH 2652. 3+3 s.h. (syllabus 2651, 2652)

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in MATH 2651. 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. Does not count toward a degree.

Prereq.: Concurrent enrollment in MATH 2651. (syllabus)

Upper-Division Courses:

Introduction to interdisciplinary research in biology and mathematics. Topics include current research by faculty and students, cross disciplinary communication, report writing, technical presentations, literature reading, laboratory techniques and safety. May be repeated once. Listed also as BIOL 3701. Prereq.: MATH 1571 or BIOL 2601 or BIOL 2602. 1 s.h. (syllabus)

Approaches to and practice with problem solving with examples from a broad spectrum of mathematics. Emphases include problems at the level of the Praxis II examination for mathematics and problems suitable for high school contests such as the American Mathematics Competition 10 and 12. Prereq.: MATH 1572 or consent of instructor. 3 s.h. (syllabus)

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.: MATH 2673. 3 s.h. (CRN's 21498 & 26160 Syllabus_Dr. Taylor & Dr. Flowers) (CRN 21499 Syllabus_Dr. Wingler)

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.: MATH 2673. (syllabus)

Matrices; matrix operations; linear transformations; applications. Prereq.: MATH 1572. 3 s.h. (syllabus)

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.: MATH 3715 and 3720. 3 s.h. (syllabus)

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.: MATH 2673 or MATH 2686H or permission of the instructor. 3 s.h. (syllabus)

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.: MATH 2673 or MATH 2686H or permission of the instructor. 3 s.h. (syllabus)

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.: MATH 2673 and 3715. 3 s.h. (syllabus)

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. 3 s.h. (syllabus)

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 laboratory experiences. Not applicable to the mathematics major. Prereq.: MATH 2665 for MATH 3767 and MATH 3767 for MATH 3768. 4+4 s.h.. (syllabus 3767, 3768)

Matrices, matrix operations, and the application of numerical methods. Not applicable to the Mathematics major. Prereq.: MATH 2670 and ENTC 1505, or equivalent. 3 s.h. (syllabus)

A continuation of MATH 3721 with special emphasis of fields. Additional topics in pure or applied algebra. Prereq.: MATH 3721 or equivalent. 3 s.h. (syllabus)

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 or equivalent. 3 s.h. (syllabus)

The development of Euclidean and non-Euclidean geometries from postulate systems. Prereq.: MATH 3715. 3 s.h. (syllabus)

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. 3 s.h.  (syllabus)

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.: MATH 3768 or consent of instructor. 3 s.h. (syllabus)

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 3767, MATH 3768, MATH 4869, and either STAT 2601 or MATH 2625. 2 s.h. (syllabus)

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. 3 s.h. (syllabus)

An introduction to the basic concepts of general topology: compactness,connectedness, and continuity in topological spaces. Prereq.: MATH 3721 and 3751. 3 s.h. (syllabus)

Interdisciplinary and individualized study of a topic in biology and mathematics. Student project mentored jointly by faculty in biology and mathematics. May be repeated once. Grading is Traditional/PR. Listed also as BIOL 4882. Prereq.: MATH/BIOL 3701, senior status and permission of the department chairperson. 1-2 s.h. (syllabus)

An introduction to the study of theories in formalized languages and to the theory of models. Prereq.: MATH 3721 or PHIL 3719. 3 s.h. (syllabus)

A program of work and study in the public or private sector centered upon the development of a significant mathematics project, under the direction of University faculty member(s) and designated member(s) of the participating agency. This course can be substituted for MATH 4896 to fulfill the major requirements with approval from the department chairperson. See department for more details. Prereq.: 24 s.h. of mathematics applicable to the mathematics major including either MATH 3721 or 3751 and consent of the department chairperson. May be repeated twice. 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 s.h. of mathematics applicable to the mathematics major including both MATH 3721 and 3751 and permission of the department chairperson. 2 s.h. 

A study of abstract vector spaces, linear transformations, duality, canonical forms, the spectral theorem, and inner product spaces. Prereq.: MATH 3721. 3 s.h. (syllabus)

A study of congruences, Diophantine equations, quadratic residues, special number theory functions, and selected applications. Prereq.: MATH 3721. 3 s.h. (syllabus)

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.: MATH 3715 and 3720. 3 s.h.(syllabus)

A course in analysis aimed at developing a broad understanding of the subject. Credit will not be given for both MATH 3751 and 5851. Prereq.: MATH 2673, 3720, and 3715. 3 s.h. (syllabus)

Uniform convergence of sequences of functions and some consequences; functions on n-space: derivatives in vector spaces, mean value theorem, Taylor’s formula, inverse mapping theorem, implicit mapping theorem. Prereq.: MATH 3720 and 3751 or equivalent. 3 s.h (syllabus)

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 2673 and 3760 or equivalent. 3 s.h. (syllabus)

An introduction to the study of theories in formalized languages and to the theory of models. Prereq.: MATH 3721 or PHIL 3719. 3 s.h.  (syllabus)