Department website: http://www.math.wvu.edu/undergrad_IMS_degree

## Degree Offered

- Bachelor of Science

## Nature of the Program

The curriculum in industrial mathematics and statistics (IMS) provides students with the critical skills and knowledge needed to apply both statistics and mathematics to industrial and scientific problems. IMS is concerned with the mathematical, statistical, and computer modeling of various physical, biological, and social processes. Graduates will be trained to work in business, industry, and government, or they will be able to pursue a graduate degree in any of the mathematical sciences. Industrial mathematics and statistics is vital to our economic competitiveness and is critical to the development of our increasingly scientific/technological society.

Industrial mathematics and statistics is built on a foundation of differential/integral calculus, differential equations, applied probability, and statistics.

The mathematical tools encompass linear algebra, numerical analysis, continuous models rooted in differential equations, and discrete models linked to finite mathematical structures and Markov processes. Scientific computing extends the rudiments of programming into data visualization, the development of algorithms, and selected topics using high-level languages. Statistical topics especially relevant to industrial and scientific applications include design and analysis of experiments, statistical models, sequential analysis, reliability models, and time series analysis. These statistical methodologies are grounded in fundamental concepts of statistics and probability such as discrete and continuous probability distributions, stochastic processes, estimation and hypothesis testing, and exponential family models.

## Certificate of Global Engagement

Students in the Eberly College, regardless of their major, can earn a Certificate of Global Engagement. Completion of the Certificate demonstrates the student’s knowledge of diverse cultures, as well as the ability to communicate and interact effectively with people of different cultural backgrounds. Students will be required to apply their knowledge of contemporary issues and global social contexts to their course work and their broader citizenship. For details regarding Certificate requirements, please visit the Eberly College page.

### Faculty

#### Mathematics Chair

- Edgar Fuller - Ph.D. (University of Georgia)

Knot theory, Machine learning, Mathematics education

#### Statistics Chair

- Michael Mayes - Ph.D. (Penn State University)

Number Theory

## Admission into the Program

Entering freshmen are admitted directly into the major. Students coming from the Center for Learning, Advising, and Student Success or another unit must have a 2.0 overall GPA.

## Benchmark Expectations

By the end of 4th semester in the major, students should have successfully completed Math through 261 and STAT 215. Math 441 and STAT 312 are recommended in the 3rd year. Students must retain a 2.0 GPA in Math/STAT courses applied to the major. All majors must meet with the IMS adviser each semester. Students who fail to meet these expectations might be removed from the major.

Click here to view the Suggested Plan of Study

**General Education Foundations**

**Please use this link to view a list of courses that meet each GEF requirement.**

NOTE: Some major requirements will fulfill specific GEF requirements. Please see the curriculum requirements listed below for details on which GEFs you will need to select.

General Education Foundations | ||

F1 - Composition & Rhetoric | 3-6 | |

Introduction to Composition and Rhetoric and Composition, Rhetoric, and Research | ||

or ENGL 103 | Accelerated Academic Writing | |

F2A/F2B - Science & Technology | 4-6 | |

F3 - Math & Quantitative Skills | 3-4 | |

F4 - Society & Connections | 3 | |

F5 - Human Inquiry & the Past | 3 | |

F6 - The Arts & Creativity | 3 | |

F7 - Global Studies & Diversity | 3 | |

F8 - Focus (may be satisfied by completion of a minor, double major, or dual degree) | 9 | |

Total Hours | 31-37 |

Please note that not all of the GEF courses are offered at all campuses. Students should consult with their advisor or academic department regarding the GEF course offerings available at their campus.

**Degree Requirements**

Students must complete WVU General Education Foundations requirements, College B.S. requirements, major requirements, and electives to total a minimum of 120 hours.For complete details on these requirements,visit the B.S. Degrees tab on the Eberly College of Arts and Sciences page.

**Departmental Requirements for the B.S. in Industrial Mathematics and Statistics**

**Capstone Requirement:**The university requires the successful completion of a Capstone course. IMS majors must successfully complete: one hour of STAT 482 or MATH 491 or STAT 491 or MATH 495 or STAT 495, one hour of MATH 494 or STAT 494, and one hour of MATH 496or STAT 496. These courses should be taken during the student’s senior year.

**Writing and Communication Requirement:**Industrial Mathematics and Statistics Bachelor of Science students fulfill the Writing and Communication Skills requirement by completing ENGL 101 and ENGL 102 (or ENGL 103), and two additional**SpeakWrite Certified Courses**selected from the following: COMM 202 , ENGL 304, ENGL 305, HIST 203, HIST 204, HIST 207, HIST 221, HIST 241, HIST 242, HIST 250, HIST 264, HIST 259, PHIL 301, PHIL 302, PHIL 306, PHIL 310, PSYC 202, RELG 219, RELG 223, RELG 230,RELG 231.^{TM}**Calculation of the GPA in the Major**: A minimum GPA of 2.00 across all classes applied to the major is required. If a class is repeated, all attempts will be included in the calculation of the GPA unless the course is eligible for a D/F repeat.**Benchmarks Expectations:**For details, go to the Industrial Mathematics admissions tab.

**Curriculum Requirements**

UNIVERSITY REQUIREMENTS | 19 | |

First-Year Seminar | ||

GEF Requirements (will vary with overlap) | ||

ECAS B.S. Requirements | 16 | |

Global Studies & Diversity Requirement | ||

Mathematics Requirement | 4 | |

Select one: | ||

Calculus 1a with Precalculus and Calculus 1b with Precalculus | ||

or: | ||

Calculus 1 | ||

Science Requirement: please visit the Eberly B.S. requirements page | ||

DEPARTMENTAL REQUIREMENTS | ||

Foundation Courses: | 15 | |

Calculus 2 | ||

Multivariable Calculus | ||

Elementary Differential Equations | ||

Introduction to Probability and Statistics | ||

Core Courses: | 12 | |

Applied Linear Algebra | ||

Intermediate Statistical Methods | ||

Theory of Probability | ||

Deterministic Mathematical Modeling | ||

CONCENTRATION | 9 | |

Select one: | ||

Concentration in Mathematics | ||

Numerical Analysis 1 | ||

MATH Course from the Recommended Elective List (see below) | ||

MATH or STAT Course from Recommended Elective list (see below) | ||

Concentration in Statistics | ||

Introductory Design and Analysis | ||

Data Analysis | ||

or STAT 462 | Theory of Statistics | |

MATH or STAT Course from IMS Elective list (see below) | ||

IMS Electives | ||

Numerical and Symbolic Methods in Mathematics and Statistics | ||

Introduction to the Concepts of Mathematics | ||

Mathematics of Compound Interest | ||

Numerical Analysis 1 | ||

Complex Variables | ||

Partial Differential Equations | ||

Industrial Statistics | ||

Numerical and Symbolic Methods in Mathematics and Statistics | ||

Introductory Design and Analysis | ||

Forensic Statistics | ||

Sampling Methods | ||

Statistical Analysis System (SAS) | ||

Data Analysis | ||

Theory of Statistics | ||

IMS Capstone Experience | 3 | |

Select one of the following, depending on concentration: | ||

Professional Field Experience | ||

Seminar | ||

Independent Study | ||

Senior Thesis | ||

Statistics Practicum | ||

Professional Field Experience: Capstone | ||

Seminar | ||

Senior Thesis | ||

GENERAL ELECTIVES ^{*} | 42 | |

Number may vary depending on overlap | ||

Total Hours | 120 |

* | IMS students interested in computer science have access to the following courses, normally restricted to Computer Science majors: CS 110, 111, 210, 220 |

## Suggested Plan of Study

First Year | |||
---|---|---|---|

Fall | Hours | Spring | Hours |

MATH 191 | 1 | ENGL 101 (GEF 1) | 3 |

GEF 4 | 3 | GEF 8 (B.S. First Area 2) | 4 |

GEF 5 | 3 | MATH 156 (GEF 8 ; B.S. Second Area 1) | 4 |

MATH 155 (GEF 3) | 4 | General Elective | 4 |

GEF 2 (B.S. First Area 1) | 4 | ||

15 | 15 | ||

Second Year | |||

Fall | Hours | Spring | Hours |

ENGL 102 (GEF 1) | 3 | GEF 6 | 3 |

MATH 251 | 4 | B.S. Third Area 1 | 4 |

STAT 215 (GEF 8; B.S. Second Area 2) | 3 | MATH 261 | 4 |

General Elective | 2 | MATH 441 | 3 |

General Elective | 3 | General Elective | 1 |

15 | 15 | ||

Third Year | |||

Fall | Hours | Spring | Hours |

ECAS Global Studies & Diversity Requirement (GEF 7) | 3 | Concentration Course 2 | 3 |

Concentration Course 1 | 3 | B.S. Third Area 2 | 4 |

STAT 461 | 3 | STAT 312 | 3 |

General Elective | 3 | General Elective | 3 |

General Elective | 2 | General Elective | 3 |

14 | 16 | ||

Fourth Year | |||

Fall | Hours | Spring | Hours |

MATH 464 | 3 | IMS Capstone | 3 |

Concentration Course 3 | 3 | General Elective | 3 |

General Elective | 3 | General Elective | 3 |

General Elective | 3 | General Elective | 3 |

General Elective | 3 | General Elective | 3 |

15 | 15 | ||

Total credit hours: 120 |

**Major Learning Outcomes**

### Industrial Mathematics and Statistics

Upon successful completion of the B.S. degree, **Industrial Mathematics and Statistics** majors will be able to:

- Demonstrate competence in one-variable calculus before proceeding to upper-level courses.
- Read and interpret mathematical/statistical industrial and scientific word problems.
- Demonstrate the ability to construct and understand mathematical/statistical models in science and engineering.
- Research an industrial or scientific problem by reading mathematical/statistical articles and texts.
- Develop a solution to the aforementioned industrial or scientific problem.
- Write and present an applied research report on the industrial or scientific problem.

**MATH 112. Quantitative Skill and Reasoning 1. 1 Hour.**

Part one of a two-part introductory study of quantitative and reasoning skills needed for success in science, technology, engineering, and mathematics coursework.

**MATH 121. Intro Concepts Of Mathematics. 3 Hours.**

(Designed for non-science majors who do not need the techniques of mathematics for other course work in their programs.) Topics in modern mathematics.

**MATH 122. Quantitative Skills and Reasoning. 0-2 Hours.**

PR: Minimum HEPC-defined ACT/SAT Math or equivalent assessment score, or satisfactory performance on placement test. An introductory study of quantitative and reasoning skills needed for success in science, technology, engineering, and mathematics.

**MATH 124. Algebra with Applications. 3 Hours.**

PR: Satisfactory performance on departmental placement test; or satisfy the minimum ACT/SAT Math score; or a grade of C- or better in MATH 122. Study of algebra with an emphasis on applications for science, business, technology, and social science. Topics include graphing and solving problems using linear, quadratic, square-root, logarithmic, and exponential functions, solving equations, performing operations on matrices.

**MATH 126. College Algebra. 3 Hours.**

PR: Satisfy the minimum ACT/SAT math score, or satisfactory performance on departmental placement examination, or a minimum grade of C- in MATH 122. Introduces the foundations of analysis designed to precede the calculus sequence with emphasis on functions and graphs. Topics include properties of absolute value, polynomial, rational, exponential, logarithmic functions, and techniques for solving equations and inequalities.

**MATH 126A. College Algebra 5-Day. 3 Hours.**

PR: Satisfy the minimum ACT/SAT math score, or satisfactory performance on departmental placement examination, or C- in MATH 122. (This course is not open to students who have credit for MATH 129 or its equivalent.) Review of the real number system and algebraic expressions, equations, inequalities, graphing, functions, and polynomials. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

**MATH 126B. College Algebra 4-Day. 3 Hours.**

PR: Satisfy the minimum ACT/SAT math score, or satisfactory performance on departmental placement examination, or MATH 122 with a minimum grade of C-. (This course is not open to students who have credit for MATH 129 or its equivalent.) Review of the real number system and algebraic expressions, equations, inequalities, graphing, functions, and polynomials. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

**MATH 126C. College Algebra 3-Day. 3 Hours.**

PR: Two units of algebra, one unit of geometry, and satisfactory performance on departmental placement examination or successful completion of the pre-college algebra workshop or its equivalent. (This course is not open to students who have credit for MATH 129 or its equivalent.) Review of the real number system and algebraic expressions, equations, inequalities, graphing, functions, and polynomials. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

**MATH 128. Plane Trigonometry. 3 Hours.**

PR: MATH 124 or MATH 126 with a minimum grade of C- in each. (This course is not open to students who have credit for MATH 129 or equivalent.) Trigonometric functions, identities, vectors, complex numbers, and trigonometric equations. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

**MATH 129. Pre-Calculus Mathematics. 4 Hours.**

PR: Satisfy the minimum ACT/SAT math score, or satisfactory performance on departmental placement test. A treatment of algebra, analytic geometry, and trigonometry. Not open to students who have credit for the equivalent of either MATH 126 or 128. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

**MATH 150. Applied Calculus. 3 Hours.**

PR: Satisfy the minimum ACT/SAT math score, or satisfactory performance on departmental placement examination, or C- in MATH 124 or MATH 126 or MATH 129. For students in other disciplines needing calculus for applications.Limits of sequences and functions, continuity derivatives, and integrals of polynomials, rational functions, and exponential and logarithmic functions, partial derivatives, maxima and minima. Pre-requisite(s) and/or co-requisite(s) may differ on regional campuses.

**MATH 153. Calculus 1a with Precalculus. 4 Hours.**

PR: Satisfy the minimum ACT/SAT math score, or satisfactory performance on departmental placement examination, or C- in (MATH 126 and MATH 128) or in MATH 129. Introduction to limits, continuity, derivatives, and applications of derivative.

**MATH 154. Calculus 1b with Precalculus. 4 Hours.**

PR: MATH 153 with a minimum grade of C-. Introduction to applications of derivatives, antiderivatives, and definite integrals.

**MATH 155. Calculus 1. 4 Hours.**

PR: Satisfy the minimum ACT/SAT math score, or satisfactory performance on departmental placement examination, or C- in MATH 129. Introduction to limits, continuity, derivatives, antiderivatives, definite integrals, and applications of the derivative. Not open to students who have earned credit in MATH 153 and/or MATH 154.

**MATH 156. Calculus 2. 4 Hours.**

PR: A minimum grade of C- in MATH 154 or MATH 155. Techniques of integration, application of the definite integral, polar coordinates, indeterminate forms, and infinite series.

**MATH 191. First-Year Seminar. 1-3 Hours.**

Engages students in active learning strategies that enable effective transition to college life at WVU. Students will explore school, college and university programs, policies and services relevant to academic success. Provides active learning activities that enable effective transition to the academic environment. Students examine school, college and university programs, policies and services.

**MATH 218. History of Mathematics. 3 Hours.**

PR: MATH 155 with a minimum grade of C-. Development of mathematics through calculus, with emphasis on mathematical theories and techniques of each period and their historical evolution. (Not offered on a regular basis.).

**MATH 222. Numerical and Symbolic Methods in Mathematics and Statistics. 3 Hours.**

PR: MATH 156 with a minimum grade of C-. Data manipulation, data visualization in two and three dimensions including animation, scientific programming using a high level language, symbolic manipulators and other packages. Applications to problems in mathematics and statistics. (Equivalent to STAT 222.).

**MATH 231. Algebra and Geometry for Elementary Teachers. 3 Hours.**

PR: MATH 126. (For elementary education majors only.) Algebra, real numbers, and geometry applied to graphing, problem solving, probability and statistics, calculations, and the computer.

**MATH 232. Number and Algebra for Teachers. 3 Hours.**

PR: A minimum grade of C- in MATH 124 or MATH 126 or MATH 150 or MATH 153 or MATH 155. (Open to pre- service elementary education majors only.) Use of properties of real numbers and algebra to illuminate conceptual understanding and enhance problem solving techniques. The use of technology is infused throughout the course.

**MATH 233. Measurement and Geometry for Teachers. 3 Hours.**

PR: MATH 232 with a minimum grade of C-. (Open to pre-service elementary education majors only.) Use of properties of real numbers, algebra, measurement and geometry to illuminate conceptual understanding and enhance problem solving techniques. The use of technology and manipulatives is infused throughout the course.

**MATH 238. Modern Geometry for Teachers. 3 Hours.**

PR: MATH 156 with a minimum grade of C- or consent. (For prospective high school mathematics teachers.) Foundations of geometry. Special topics from Euclidean, projective, and non-Euclidean geometries.

**MATH 251. Multivariable Calculus. 4 Hours.**

PR: MATH 156 with a minimum grade of C-. Introduction to solid analytic geometry, vector algebra, and calculus of several variables.

**MATH 261. Elementary Differential Equations. 4 Hours.**

PR: MATH 251 with a minimum grade of C-. Ordinary differential equations, Laplace transforms, partial differential equations, Fourier series, and applications.

**MATH 283. Introduction to the Concepts of Mathematics. 3 Hours.**

PR: MATH 156 or consent. Elementary logic, basic theory, relations and functions, equivalence relations and decomposition of sets, order relations, and cardinality. Emphasis on learning to prove theorems.

**MATH 293. Special Topics. 0-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 293A. Special Topics. 0-6 Hours.**

Investigation of topics not covered in regularly scheduled courses.

**MATH 293B. Special Topics. 1-6 Hours.**

PR:Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 293C. Special Topics. 1-6 Hours.**

PR: Consent Investigation of topics not covered in regularly scheduled courses.

**MATH 293D. Special Topics. 1-6 Hours.**

Investigation of topics not covered in regularly scheduled courses.

**MATH 293E. Special Topics. 1-6 Hours.**

**MATH 293F. Special Topics. 1-6 Hours.**

PR: Consent. Investigations of topics not covered in reqularly scheduled courses.

**MATH 293G. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses/.

**MATH 293H. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 293I. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 293J. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 293K. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 293L. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 293M. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 318. Perspectives on Mathematics and Science. 3 Hours.**

PR: MATH 150 or MATH 153 or MATH 155. This course explores knowledge generation in the sciences and mathematics by referencing the philosophy, history, and methods of those disciplines. It is designed to prepare future teachers with background, rationales, and strategies necessary to enhance student knowledge and interest in these areas, providing deeper understanding of the underlying mathematics in science, and of mathematics in general.

**MATH 341. Introduction to Algebraic Structures. 3 Hours.**

PR: MATH 283 or consent. A study of groups, rings, and fields together with their substructures, quotients and products, morphisms; the fundamental homomorphism theorems.

**MATH 343. Introduction to Linear Algebra. 3 Hours.**

PR: MATH 156. Introduction to vector spaces as an algebraic system. Emphasis on axiomatic development and linear transformation. Examples from geometry and calculus.

**MATH 363. Mathematical Foundations of Actuarial Science. 3 Hours.**

PR: MATH 156 with a minimum grade of C-. Concepts from calculus and probability as they pertain to actuarial sciences. The calculus portion covers limits, derivatives, integrals, power series and polar coordinates. The probability portion covers basic and conditional probability, Bayes' theorem, discrete and continuous variables and distributions, and bivariate distributions. Focus is on word problems of the type covered by the SOA/CAS Exam P/1.

**MATH 364. Mathematics of Compound Interest. 3 Hours.**

PR: MATH 156 or MATH 150. A problem-solving course focusing on the measurement of interest, annuities, amortization schedules, and sinking funds, and the valuation of bonds and other securities.

**MATH 367. Applied Mathematical Analysis. 3 Hours.**

PR: MATH 261. The algebra and differential calculus of vectors, solution of the partial differential equations of mathematical physics, and application of functions of a complex variable.

**MATH 373. Introduction to Cryptography. 3 Hours.**

PR: MATH 155. Introduces students to the art of confidential communication the mathematical background and the practical skills in making and breaking secret codes.

**MATH 375. Applied Modern Algebra. 3 Hours.**

PR: MATH 156. Finite fields, algebraic coding theory, Boolean algebras, monoids, finite state, and Turing machines.

**MATH 376. Foundations, Functions and Regression Models. 3 Hours.**

PR or CONC: MATH 156. In-depth study of topics taught by teachers of secondary school mathematics. Emphasizes development of the concept of function, exploring function patterns in data sets, and connections between these topics and topics of mathematics associated with the secondary school curriculum. Integrates use of appropriate technology in developing lessons that help students master the concepts of functions, data, and real world applications.

**MATH 377. Operations Research. 3 Hours.**

PR: MATH 156. Linear programming, multi-objective optimization and goal programming, discrete dynamic programming, network flows, discrete optimization models and methods, nonlinear programming.

**MATH 378. Discrete Mathematics. 3 Hours.**

PR: MATH 283. Permutations, combinations, binominal theorem, inclusion- exclusion formula, recurrence relations, generating functions, elementary graph theory (connectivity, paths, circuits, trees, vertex and edge coloring, graph algorithms) matching theory, and discrete optimization. (Equiv. to CS 426.).

**MATH 381. Introduction to Analysis and Topology. 3 Hours.**

PR: MATH 283 or consent. Introduction to metric and topological spaces. Topics include: continuity, convergence, separation, compactness, and connectedness.

**MATH 420. Numerical Analysis 1. 3 Hours.**

PR: MATH 251 and (either a programming language or MATH 222.) Computer arithmetic, roots of equations, interpolation, Gaussian elimination, numerical integration and differentiation. Numerical solution of initial value problems for ordinary differential equations. Least square approximations. (Equiv. to CS 460.).

**MATH 421. Numerical Analysis 2. 3 Hours.**

PR: (MATH 420 or CS 460) and (MATH 441 or MATH 343). Solutions of linear systems by direct and iterative methods. Calculation of eigenvalues, eigenvectors, and inverses of matrices. Applications to ordinary and partial differential equations.

**MATH 441. Applied Linear Algebra. 3 Hours.**

PR: MATH 251. Matrix algebra with emphasis on algorithmic techniques and applications to physical models. Topics include solution of large systems of equations, orthogonal projections and least squares, and eigenvalue problems.

**MATH 442. Advanced Algebraic Structures. 3 Hours.**

PR: MATH 341. Continuing study of groups, rings, and fields together with their substructures, quotients, and products. Morphisms with an emphasis on the fundamental homomorphism theorems.

**MATH 451. Introduction to Real Analysis 1. 3 Hours.**

PR: MATH 283. A study of sequences, convergence, limits, continuity, definite integral, derivative, differentials, functional dependence, multiple integrals, sequences, and series of functions.

**MATH 452. Introduction to Real Analysis 2. 3 Hours.**

PR: MATH 451. A study of sequences, convergence, limits, continuity, definite integral, derivative, differentials, functional dependence, multiple integrals, sequences and series of functions.

**MATH 456. Complex Variables. 3 Hours.**

PR: MATH 261. Complex numbers, functions of a complex variable; analytic functions; the logarithm and related functions; power series; Laurent series and residues; conformal mapping and applications.

**MATH 460. Introduction to Dynamical Systems and Applications. 3 Hours.**

PR: MATH 261 with a minimum grade of C-. Introduction to the theory of dynamical systems, whose goal is to study the behavior of systems with known laws of evolution. Exploration of basic topics including fixed points, periodic orbits, linearization, local and global behavior of solutions, bifurcations, and chaos. Applications from biology, chemistry, and physics.

**MATH 464. Deterministic Mathematical Modeling. 3 Hours.**

PR: MATH 222 and MATH 261 and MATH 420; or consent. An introduction to mathematical modeling of deterministic systems. Topics include growth and decay models, equilibrium models, optimal control and utility, and model validation. Applications from chemistry, physics, biology, economics, and the environment will be considered.

**MATH 465. Partial Differential Equations. 3 Hours.**

PR: MATH 261. Introduces students in mathematics, engineering, and the sciences to methods of applied mathematics. First and second order equations, canonical forms, wave, heat, and Laplace's equations, and representation of solutions.

**MATH 469. Seminar in Applied Mathematics. 1-12 Hours.**

PR: Consent. Selected topics in applied mathematics.

**MATH 490. Teaching Practicum. 1-3 Hours.**

PR: Consent. Teaching practice as a tutor or assistant.

**MATH 491. Professional Field Experience. 1-18 Hours.**

PR: Consent. (May be repeated up to a maximum of 18 hours.) Prearranged experiential learning program, to be planned, supervised, and evaluated for credit by faculty and field supervisors. Involves temporary placement with public or private enterprise for professional competence development.

**MATH 493. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493A. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493B. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493C. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493D. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493E. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493F. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493G. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493H. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493I. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493J. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493K. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493L. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493M. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493N. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled classes.

**MATH 493O. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493P. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493Q. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493R. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493S. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493T. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493U. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493V. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493W. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493X. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493Y. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 493Z. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**MATH 494. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**MATH 495. Independent Study. 1-6 Hours.**

Faculty supervised study of topics not available through regular course offerings.

**MATH 495A. Independent Study. 1-6 Hours.**

Faculty supervised study of topics not available through regular course offerings.

**MATH 496. Senior Thesis. 1-3 Hours.**

PR: Consent.

**MATH 498. Honors. 1-3 Hours.**

PR: Students in Honors Program and consent by the honors director. Independent reading, study, or research.

**STAT 111. Understanding Statistics. 3 Hours.**

Introduction to basic concepts and ideas of statistics. Methodologies and case studies to prepare students to understand the use of statistics in the mass media and professional publications in their major field of study. Not open to students who have earned credit for STAT 211 or STAT 215.

**STAT 191. First-Year Seminar. 1-3 Hours.**

Engages students in active learning strategies that enable effective transition to college life at WVU. Students will explore school, college and university programs, policies and services relevant to academic success. Provides active learning activities that enable effective transition to the academic environment. Students examine school, college and university programs, policies and services.

**STAT 201. Applied Statistical Modeling. 3 Hours.**

PR: MATH 121 or higher. Introduction to modeling in the social, behavioral, and health sciences. Descriptive statistics, probability, discrete/continuous distributions, random variables, sampling distributions, t-tests, regression, correlation, categorical models, repeated measures, one- and two-way ANOVA, covariance models.

**STAT 205. Introductory Probability and Statistical Inference. 3 Hours.**

PR: MATH 150 or equivalent. Probability, random variables, expectation, random sampling, descriptive statistics, sampling distributions, estimation, hypothesis testing, linear regression, and nonparametric statistics.

**STAT 211. Elementary Statistical Inference. 3 Hours.**

PR: MATH 122 with a C- or better, or MATH 124 or higher, or advanced placement. (Not open to students who have completed STAT 215.) Basic concepts of descriptive and inferential statistics: descriptive measures, random variables, sampling distributions, estimation, tests of hypotheses, chi-square tests, regression and correlation. (Equivalent to ECON 225.).

**STAT 215. Introduction to Probability and Statistics. 3 Hours.**

PR: MATH 156. Probability, random variables, discrete and continuous probability distributions, joint probability distributions, and expected value. The central limit theorem. Point and interval estimation and tests of hypotheses. Chi-square tests, linear regression, and correlation.

**STAT 217. Industrial Statistics. 3 Hours.**

PR: STAT 215 or equivalent. Statistical methods for solving industrial problems including statistical quality and process control, reliability modeling, sequential analysis, and time series analysis. Methodology for these problems will utilize a statistical software program.

**STAT 222. Numerical and Symbolic Methods in Mathematics and Statistics. 3 Hours.**

PR: MATH 156. Data manipulation, data visualization in two and three dimensions including animation, and scientific programming using a high-level language, symbolic manipulators, and other packages. Applications to problems in mathematics and statistics. (Equivalent to MATH 222.).

**STAT 293. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293A. Data Literacy. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293B. Special Topics. 1-6 Hours.**

Investigation of topics not covered in regularly scheduled courses.

**STAT 293C. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293D. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293E. Special Topics. 1-6 Hours.**

Investigation of topics not covered in regularly scheduled courses.

**STAT 293F. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293G. Special Topics. 1-6 Hours.**

Investigation of topics not covered in regularly scheduled courses.

**STAT 293H. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293I. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293J. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293K. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293L. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293M. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293N. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293O. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293P. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293Q. Special Topics. 1-6 Hours.**

Investigation of topics not covered in regularly scheduled courses.

**STAT 293R. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293S. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293T. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293U. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293V. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293W. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293X. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293Y. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 293Z. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 298. Honors. 1-3 Hours.**

PR: Students in the Honors Program and consent by the honors director. Independent reading, study or research.

**STAT 312. Intermediate Statistical Methods. 3 Hours.**

PR: STAT 211 or STAT 215 or equivalent. Extension of basic concepts of statistical inference: estimation and hypothesis testing for more than two populations, multiple regression and correlation, curvilinear regression, analysis of variance and covariance.

**STAT 313. Introductory Design and Analysis. 3 Hours.**

PR: STAT 312. Introduction to the linear model, the complete and fractional factorial experiment, and the completely random, randomized complete block, Latin square, and split-plot experimental designs.

**STAT 316. Forensic Statistics. 3 Hours.**

PR: STAT 215. Probabilistic and statistical evaluation of evidence in forensic science: concepts of uncertainty/variation, discriminating power, coincidence/significance probabilities, historical overview, transfer evidence, DNA profiling, fingerprint identification, biometric identification, and selected forensic statistics topics/ case studies.

**STAT 331. Sampling Methods. 3 Hours.**

PR: STAT 211 or STAT 215 or equivalent. Methods of sampling from finite populations, choice of sampling unit and sample survey design. Estimation of confidence limits and optimum sample size. Single and multi-stage sampling procedures.

**STAT 421. Statistical Analysis System (SAS). 3 Hours.**

PR: (STAT 211 or STAT 215 or equivalent) and (CS 110 or equivalent). Introduction to the use of the Statistical Analysis System (SAS), a statistical computer program. Students will perform statistical data analysis, data file modifications, and statistical report writing.

**STAT 423. Bioinformatics Computing. 3 Hours.**

PR: STAT 312. Introduction to R computing within a bioinformatics context. Topics include: R packages, data structures, objects, and data input/output; R data Visualization; R/Perl text processing; accessing bioinformatics databases; and R interfaces to Perl, Java, and SQL databases.

**STAT 443. Computational Genomics. 3 Hours.**

PR: STAT 312. Introduction to computational genomics and bioinformatics based on probabilistic and statistical models. DNA sequence analysis, multiple sequence alignment, signaling in DNA, gene expression analysis, phylogenetic trees, and linkage disequilibrium. The use of R/Bioconductor computational tools.

**STAT 445. Data Analysis. 3 Hours.**

PR: STAT 312 or equivalent. Computer analyses of simulated or real unbalanced data using a matrix approach to linear models. The techniques will include least squares analysis of variance and covariance, multiple and polynomial regression, and multiple discrimination.

**STAT 461. Theory of Probability. 3 Hours.**

PR: MATH 251. Theoretical coverage of probability, random variables, and discrete and continuous probability distributions. Expected value, moment generating functions, and special probability distributions. Random sampling and distributions of certain functions of random variables. The Central Limit Theorem.

**STAT 462. Theory of Statistics. 3 Hours.**

PR: STAT 461. Theoretical introduction to statistical inference. Properties of estimators and techniques of estimation. Hypotheses testing including the Neyman-Pearson Lemma and likelihood ratio tests. Regression and correlation. Selected topics.

**STAT 482. Statistics Practicum. 1 Hour.**

PR: STAT 313. A capstone experience core course. Students are expected to: research and design (optionally) a study, do independent statistical analyses of a data set, and present the results in both verbal and written forms.

**STAT 490. Teaching Practicum. 1-3 Hours.**

PR: Consent. Teaching practice as a tutor or assistant.

**STAT 491. Professional Field Experience: Capstone. 1-18 Hours.**

PR: Consent. (May be repeated up to a maximum of 18 hours.) Prearranged experiential learning program, to be planned, supervised, and evaluated for credit by faculty and field supervisors. Involves temporary placement with public or private enterprise for professional competence development.

**STAT 493. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493A. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493B. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493C. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493D. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493E. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493F. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493G. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493H. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493I. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493J. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493K. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493L. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493M. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493N. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493O. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493P. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493Q. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493R. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493S. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493T. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493U. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493V. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493W. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493X. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493Y. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 493Z. Special Topics. 1-6 Hours.**

PR: Consent. Investigation of topics not covered in regularly scheduled courses.

**STAT 494. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494A. Capstone Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494B. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494C. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494D. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494E. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494F. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494G. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494H. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494I. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494J. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494K. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494L. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494M. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494N. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494O. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494P. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494Q. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494R. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494S. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494T. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494U. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494V. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494W. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494X. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494Y. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 494Z. Seminar. 1-3 Hours.**

PR: Consent. Presentation and discussion of topics of mutual concern to students and faculty.

**STAT 495. Independent Study. 1-6 Hours.**

Faculty supervised study of topics not available through regular course offerings.

**STAT 496. Senior Thesis. 1-3 Hours.**

PR: Consent.

**STAT 498. Honors. 1-3 Hours.**

PR: Students in Honors Program and consent by the honors director. Independent reading, study or research.