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Students may select mathematics as their major for the following degree programs:

  • Bachelor of Science (BS)
  • Bachelor of Science in Education (BSEd)

In addition to satisfying general University requirements, all students majoring in mathematics must complete the following core courses:

COURSETITLES.H.
MATH 1571Calculus 14
MATH 1572Calculus 24
MATH 2673Calculus 34
MATH 3715Discrete Mathematics3
MATH 3720Linear Algebra and Matrix Theory3
MATH 3721Abstract Algebra 14
MATH 3751Real Analysis 14
STAT 3743Probability and Statistics4
CSIS 2610Programming and Problem-Solving4
Intermediate-level (2600) proficiency in a foreign language
Select one of the following:2
Senior Undergraduate Research Project
Thesis
STEM Internship

In addition, students must complete 12 additional semester hours in mathematics at the 3700-level or above,with at least two courses chosen from the 4800-level. The total number of hours of mathematics is 40 semester hours.

In selecting appropriate courses, the student should consult a department advisor, since certain courses are recommended according to whether the student contemplates graduate study in mathematics or statistics, secondary school teaching, or a career in business, industry, or government. The following courses are recommended based upon the student's interest and career goals:

Traditional Mathematics: In addition to the core, students seeking classical training in mathematics are recommended to take MATH 4822, MATH 4880, and MATH 5852 and one additional 4800-level course in mathematics. The minor course of study may be any discipline. Suggested minors include biology, chemistry, computer science, economics, geology, physics, psychology, one engineering specialty (from chemical, civil, electrical, industrial, mechanical), or statistics. Students will study the nature of mathematics in fields such as algebra, real analysis, complex analysis, and topology. Connections to, and generalizations of, earlier formulations of mathematical concepts will constantly occur. Generally, new results in mathematics are developed and proven by those with a Ph.D. in mathematics. Students planning to pursue a Ph.D. will be well prepared for graduate school with these courses and should also study at least one of the languages French, Russian, or German.

Applied Mathematics: Applied mathematics courses emphasize areas of mathematics used in government and industry. Students learn mathematical models for the study of physical and computational processes. Mathematical techniques are also used to study uncertainty, scheduling, and decision theory. Many graduates find employment in consulting firms and large corporations where computing and mathematical problem solving skills are valued. Students are also prepared to pursue a master's degree in applied mathematics.

In addition to the core, students interested in applied mathematics are recommended to take MATH 3705, 3760, two electives from MATH 4855, MATH 5825, MATH 5835, MATH 5845, MATH 5861, and MATH 6942, and complete a recognized minor in any discipline. Suggested minors include statistics, computer science, engineering, physics, geology, chemistry, biology, logistics, economics, or geoscience.

Statistics: Statistical techniques are utilized in many fields of research such as medicine, biology, business, and sociology. Statisticians learn proper methodology for collecting, summarizing, and interpreting data subject to sampling variability. The increase in affordable computing and the ease of statistical software have placed statistical expertise in demand. Generally, students interested in statistics pursue further study at the graduate level, but positions are available for students upon completion of a bachelor’s degree.

In addition to the core, students interested in statistics are recommended fulfill their upper-level course requirements with statistics courses and complete a minor in statistics.

Actuarial Mathematics: Students interested in using mathematics and statistics to quantify risk and develop models to better predict and study risk should consider actuarial mathematics. Actuaries work for insurance companies, investment and consulting firms, as well as the government and seek to find ways to manage risk and avoid potential exposure to excessive risk. Actuaries assess pension plans, mortality rates, and accident rates. Students will study the mathematical and statistical foundations of actuarial models as they prepare for the examination sequence to become a licensed actuary.

In addition to the core, students interested in actuarial mathematics are recommended to take STAT 5800, STAT 4844, STAT 4888, and STAT 5802 and complete a minor in actuarial science.

Accelerated 4+1 Program: Undergraduate students can apply for admission into the accelerated program for the MS in Mathematics after completing 78 undergraduate semester hours with a GPA of 3.3 or higher. After being admitted to the accelerated MS program, students can take a maximum of nine semester hours of graduate coursework that can count toward both a bachelor’s and master’s degree from the Department of Mathematics and Statistics. The courses chosen to count for both undergraduate and graduate coursework must be approved by the Graduate Executive Committee within the Department upon admission into the program. An additional six hours of graduate coursework can be completed as an undergraduate and used exclusively for graduate credit. This allows the student to graduate with a master’s degree with one year of additional full-time study beyond the bachelor’s degree. 

Chair

Angela Spalsbury, Ph.D., Professor, Chair


Professor

Guang-Hwa (Andy) Chang, Ph.D., Professor

Neil Flowers, Ph.D., Assistant Professor

Richard G. Goldthwait, Ph.D., Assistant Professor

Jozsi Z. Jalics, Ph.D., Associate Professor

G. Jay Kerns, Ph.D., Professor

Lucy Xiaojing Kerns, Ph.D., Assistant Professor

Thomas L. Madsen, Ph.D., Assistant Professor

Nguyet Thi Nguyen, Ph.D., Assistant Professor

Anita C. O'Mellan, Ph.D., Professor

David H. Pollack, Ph.D., Associate Professor

Alicia Prieto Langarica, Ph.D., Associate Professor

Stephen Rodabaugh, Ph.D., Professor

Thomas Smotzer, Ph.D., Professor

Jamal K. Tartir, Ph.D., Professor

Padraic ("Paddy") W. Taylor, Ph.D., Associate Professor

Thomas P. Wakefield, Ph.D., Professor

Eric J. Wingler, Ph.D., Professor

George Yates, Ph.D., Professor


Instructor

Lori A. Carlson, M.S., Instructor

Mathematics

MATH 1501    Elementary Algebraic Models    5 s.h.

Arithmetic of integers and of rational numbers; linear equations and inequalities in one variable; polynomials, factoring, algebraic fractions, radicals and quadratic equations; linear systems in two variables; graphs. Does not count toward a degree.
Prereq.: Level 10 on Math Placement Test.

MATH 1505    Intermediate Algebra with Applications    5 s.h.

This course is intended to prepare STEM students for their college-level mathematics requirement. Topics include linear and nonlinear equations and inequalities; problem solving; relations of function types that include linear, polynomial, radical, rational, exponential, and logarithmic; applications. Math Placement Level 10 or higher. Does not count toward a degree.

MATH 1507    Intermediate Algebra    3 s.h.

Topics include functions of the following: linear, polynomial, rational, exponential, and logarithmic. Emphasis on function relations and graphing by algebraic techniques and technology. Solving linear, nonlinear equations and inequalities. Does not count toward a degree.
Prereq.: MATH 1501 or Level 20 on Math Placement Test.

MATH 1510    College Algebra    4 s.h.

This course is primarily intended to prepare STEM students (along with MATH 1511) for MATH 1570 or 1571 and business students for MATH 1552. 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.: MATH 1505 or MATH 1507 with a "C" or better or Math Placement Level 35 or higher.
Gen Ed: Mathematics.

MATH 1510C    Corequisite Support for College Algebra    1-3 s.h.

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.

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.: MATH 1505 or MATH 1507 or Math Placement Level 35.
Gen Ed: Mathematics.

MATH 1511C    Corequisite Support for Trigonometry    1-3 s.h.

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.

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 Mathematics for Management    4 s.h.

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 MATH 1571.
Prereq.: MATH 1510 or at least Level 45 on the Mathematics Placement Test.
Gen Ed: Mathematics.

MATH 1552C    Corequisite Support for Applied Math for Management    1-3 s.h.

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in MATH 1552 (Applied Math for Management). Emphasis will be placed on prerequisite skills needed for business calculus as well as just in time review through the use of appropriate technology. Does not count toward a degree.
Prereq.: Concurrent enrollment in MATH 1552.

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

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 1507 (for both).

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 1549 and MATH 1570.
Prereq.: MATH 1513, or MATH 1510 and MATH 1511, or at least Level 50 on the Mathematics Placement Test.
Gen Ed: Mathematics.

MATH 1571    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 1571C    Corequisite Support for Calculus 1    1-3 s.h.

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in MATH 1571 (Calculus I). Emphasis will be placed on prerequisite skills needed for calculus as well as just in time review through the use of appropriate technology. Does not count toward a degree.
Prereq.: Concurrent enrollment in MATH 1571.

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.: MATH 1571.
Gen Ed: Mathematics.

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.: MATH 1571.
Gen Ed: Mathematics.

MATH 1580H    Honors Biomathematics 1    2 s.h.

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 NEOMED-YSU program.

MATH 1581H    Honors Biomathematics 2    4 s.h.

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 MATH 1571.
Prereq.: Admission to NEOMED-YSU program.
Gen Ed: Mathematics.

MATH 1585H    Accelerated Honors 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.
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.
Prereq.: MATH 1571 or concurrent with 1585H.

MATH 2623    Quantitative Reasoning    3 s.h.

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

MATH 2623C    Corequisite Support for Quantitative Reasoning    1-3 s.h.

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.

MATH 2623H    Honors Quantitative Reasoning    3 s.h.

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

MATH 2651    Mathematics for Early Childhood Teachers 1    3 s.h.

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 Level 20 on the Mathematics Placement Test.

MATH 2652    Mathematics for Early Childhood Teachers 2    3 s.h.

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 2651.
Gen Ed: Mathematics.

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

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 1507 (for both).
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. Credit will not be given for both MATH 1549 and MATH 1570.
Prereq.: MATH 1570.
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.

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.

MATH 2686H    Accelerated Honors 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.: MATH 1585H.
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.
Prereq.: MATH 1572 or concurrent with MATH 1572H or 1586H.

MATH 3701    Biomathematics Seminar    1 s.h.

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.

MATH 3702    Problem Solving Seminar 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 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.

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.: MATH 2673.

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.: MATH 2673.

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.: MATH 1572.

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

Matrices; matrix operations; linear transformations; applications.
Prereq.: MATH 1572.

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.: MATH 3715 and MATH 3720.

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.: MATH 2673 or permission of the instructor.

MATH 3750    History of Mathematics    3 s.h.

A survey of the historical development of mathematics.
Prereq.: 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.: MATH 2673 and MATH 3715.

MATH 3760    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.

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

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 1564 and either 40 on the Mathematics Placement test or MATH 1507.

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

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 and either 40 on the Mathematics Placement test or MATH 1507.

MATH 3785    Numerical Methods    3 s.h.

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

MATH 3795    Topics in Mathematics    2-3 s.h.

The study of a mathematical topic or the development of a special area of mathematics. May be repeated once.
Prereq.: MATH 1549 or MATH 1570 or MATH 1571 or MATH 2623 or MATH 2651.

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 4830    Foundations of Geometry    3 s.h.

The development of Euclidean and non-Euclidean geometries from postulate systems.
Prereq.: 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.: MATH 3720 and MATH 4830.

MATH 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, applications. Credit will not be given for MATH 4843 and STAT 4843.
Prereq.: STAT 3743 and MATH 2673.

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.: MATH 3767 or consent of instructor.

MATH 4870    Mathematics Seminar for Middle School Teachers    2 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 3767, MATH 3768, MATH 4869, and either STAT 2601 or MATH 2625.

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    Biomathematics Research    1-2 s.h.

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 3701, BIOL 3701, senior status and permission of the department chairperson.

MATH 4884    Mathematical Logic    3 s.h.

An introduction to the study of theories in formalized languages and to the theory of models.
Prereq.: MATH 3721 or PHIL 3719.

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 s.h. of mathematics applicable to the mathematics major including both MATH 3721 and MATH 3751 and permission of the department chairperson.

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.: MATH 3715 and MATH 3720.

MATH 5825    Advanced Linear Algebra    3 s.h.

A study of abstract vector spaces, linear transformations, duality, canonical forms, the spectral theorem, and inner product spaces.
Prereq.: MATH 3721.

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.: MATH 3715 and 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 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.: MATH 2673, MATH 3720, and MATH 3715.

MATH 5852    Real Analysis 2    3 s.h.

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 MATH 3751 or equivalent.

MATH 5860    Topics in Numerical Analysis    3 s.h.

A course in numerical analysis aimed at developing a broad understanding of the subject. Credit will not be given for both MATH 3760 and MATH 5860.
Prereq.: MATH 3720 and CSIS 2610.

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 2673 and MATH 3760 or equivalent.

MATH 5875    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 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.

MATH 5895W    Selected Topics in Mathematics Topology 2    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.

Statistics

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.
Prereq.: MATH 1507 or level 35 on the Math Placement Test.
Gen Ed: Mathematics.

STAT 2601C    Corequisite Support for Introductory Statistics    1-3 s.h.

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in STAT 2601 (Introductory Statistics). Emphasis will be placed on prerequisite skills needed for statistics as well as just in time review through the use of appropriate technology. Does not count toward a degree.
Prereq.: Concurrent enrollment in STAT 2601.

STAT 2625    Stat Lit and Crit 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 MATH 2623 and STAT 2625.
Prereq.: MATH 1501 or at least Level 20 on the Mathematics Placement Test.

STAT 2625C    Corequisite Support for Statistical Literacy and Crit Reasoning    1-3 s.h.

This course is intended to provide corequisite support for students requiring remediation in mathematics while they are concurrently enrolled in STAT 2625 (Statistical Literacy and Critical Reasoning). Emphasis will be placed on prerequisite skills needed for statistics as well as just in time review through the use of appropriate technology. Does not count toward a degree. 1 - 3 s.h.
Prereq.: Concurrent enrollment in STAT 2625.

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.: MATH 1549 or MATH 1570 or MATH 1571 or 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.: MATH 1572 or MATH 1585H.

STAT 3781H    Honors Biostatistics    3 s.h.

Descriptive statistics, testing hypotheses, analysis of count data, correlation, regression, nonparametric statistics, and analysis of variance with applications relating to biological and health sciences.
Prereq.: MATH 1580H and MATH 1581H, or equivalent.

STAT 4804    Actuarial Models 1    3 s.h.

The statistical foundation of actuarial contingency models including the study of survival and severity distributions. Other topics selected from life insurance and annuities, benefit premiums, reserves, and applications.
Prereq.: STAT 3743 or consent of department chairperson.

STAT 4805    Actuarial Models 2    3 s.h.

The statistical foundation of actuarial contingency models including the analysis of benefit reserves. Other topics selected from multiple life functions and decrement models, insurance models, and applications.
Prereq.: STAT 3743 or consent of department chairperson.

STAT 4812    Statistical Analysis System for Data and Analytics    3 s.h.

An introduction to SAS programming for data and 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.
Prereq.: STAT 3717 or STAT 3743 or equivalent.

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. Listed also as MATH 4843. Credit for STAT 4843 will not be given to students with MATH 4843.
Prereq.: STAT 3743 and MATH 2673 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.: MATH 4843.

STAT 4845    Stochastic Process Models    3 s.h.

Introduction to the mathematical foundations of the theory and application of stochastic processes. Topics include Markov processes, Poisson processes, queueing theory, and simulation. Other topics selected from limit theorems, Brownian Motion, and stationary processes.
Prereq.: STAT 4843, MATH 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 4888    Actuarial Models in Financial Economics    3 s.h.

An introduction to actuarial models in financial economics. Topics include the Black-Scholes framework for pricing derivatives, the binomial pricing model, and interest rate models.
Prereq.: STAT 4843.

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 5800    Mathematical Foundations of Actuarial Science    3 s.h.

A survey of probability theory and an introduction to risk management. Emphasis of the course will be on problem solving with applications in actuarial science.
Prereq.: MATH 4843, STAT 4843 or consent of instructor.

STAT 5802    Theory of Interest    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.: MATH 1572 and any 3700 level MATH, STAT, ECON, or FIN course.

STAT 5806    Seminar in Actuarial Science    2-3 s.h.

Approaches to and practice with problem solving in actuarial science. Topics may include financial mathematics, financial economics, or actuarial modeling. May be repeated once. Not applicable to the mathematics major.
Prereq.: MATH 4843, STAT 4843 or consent of the instructor.

STAT 5812    Statistical Analysis System Data and Analytics    3 s.h.

An introduction to SAS programming for data and 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.
Prereq.: STAT 3717 or STAT 3743 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 4817 or STAT 4844.

STAT 5847    Nonparametric Statistics    3 s.h.

Nonparametric statistical inference including tests of hypotheses for one sample, two or more related independent samples, dependence, goodness-of-fit, trend, and related topics.
Prereq.: STAT 3717 or 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 4844 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.