The Mathematics program endeavors to give students a sound background for a basic understanding of science; to give prospective teachers a professional attitude, a strong subject matter foundation and adequate skills and techniques in the application and the teaching of the material; and, to show students that mathematics is a living and vital discipline by seeing it applied in the classroom and in the various fields of industry.

The Department also offers the Bachelor of Science Degree in Computer Science. This program will teach students about object-oriented and procedural programming techniques, data structures and database management, operating systems and distributed computing in order to provide them with a fundamental understanding of those concepts of computer science which will enable them to adapt to and function in any current computing environment.

Message from Chair

Mathematics is a rich field with a storied history of brilliant thinkers such as Archimedes, Euclid, Fermat, Newton, Gauss, Emmy Noether and West Virginia native John Nash. A wide variety of fields, including biology, chemistry, physics, statistics, computer science, engineering, actuarial science and economics are fundamentally dependent on mathematics. Indeed, it is impossible to find a field of study today in which mathematics has no application. In Galileo’s words, “Mathematics is the language in which God has written the universe.”

Computer Science is the systematic study of using computers to solve problems. It involves hardware design, analysis of algorithms and software development. It is a dynamic field that develops the principles that will guide future technological advances in many industries and areas of life. Computer Science has applications in virtually every major field, including banking, business, engineering, mathematics, physics, chemistry, biology, communications and entertainment, to name just a few.

Curriculum & Degrees

Bachelor of Science in Mathematics (Classical Option)

Minor in Mathematics

Mathematics Course Rotation

Bachelor of Science in Computer Science

Minor in Computer Science

Computer Science Course Rotation

Computer Science Courses

Computer History, application and ethics, operating systems, word processing, spread sheets, databases and integrating applications, data communications and the internet computer security and privacy.

The fundamental concepts of procedural programming using C, historical and social context of computing, and an overview of computer science as a discipline.

Introduction to the fundamental concepts of the object-oriented paradigm and use of a programming language with OO specific features.

Structured FORTRAN with documentation, input-output, loops, logic statements. Prerequisites: MATH 120 and CS 101.

Provides the basic elements of the computer language necessary to run programs with an emphasis on business applications.

An introduction to the organization of computer operating systems and the range of computer operations available through effi cient use of operating systems.

This course introduces students to the standard visual basic forms, controls and event procedures. Sequential and random access file handling, database access and general language structure will be explored.

This course presents the history of data base management systems, the logical and physical structures of several current models, and deals in a practical, experiential way with the design of data bases and the management systems that control them.

The basic concepts and skills, including general problem-solving techniques, files and text processing, and abstract data structures.

An introduction to the theories, terminology, equipment, and distribution media associated with data communications and networking.

An introduction to the implementation and use of abstract data types including dynamic arrays, linked lists, stacks, queues, trees, hash tables, and heaps as well as algorithms that operate on these structures with a preliminary study of algorithmic complexity.

This course introduces students to the JAVA programming language. This object-oriented language is gaining popularity for developing secure, platform independent applications and often the language of choice for internet applications.

A sophomore-level course designed for a topic of special current interest. Prerequisite: As stated by the offering.

Application of the tools, methods, and disciplines of computer science to solving real-world problems. Topics include: the software process, software life-cycle models, software teams, quality assurance, project duration and cost estimation.

An introduction to the design and organization of computer systems. Introduction to tradeoff evaluation based on Amdahl's Law and discussion of fundamental building blocks of computer systems including the arithmetic logic unit (ALU), floating point unit (FPU), memory hierarchy, and input-output (I/O) system. Study includes the instruction set architecture (ISA), a comparison of RISC and CISC architectures.

Object-oriented programming using languages such as C++, Java, Smalltalk, Delphi.

Life cycle of business information study, design, development, and operating phases; feasibility; project control.

Shell scripts and batch files, programming using interpreted languages such as PERL, Python, PHP, JavaScript or VBScript for automation of system administration tasks and web programming.

Graphical user interface design and implementation using visual programming tools and libraries.

A sophomore-level course designed for a topic of special current interest. Prerequisite: As stated by the offering.

Design and analysis of algorithms and data structures, asymptotic analysis, recurrence relations, probabilistic analysis, divide and conquer, searching, sorting, and graph processing algorithms.

Integrates the work completed in the various courses. Reading and research oriented. (To be taken in one of the last two semesters prior to graduation.)

Maintenance of a multi-user computer system, managing services, managing users, managing data, file systems, networking, security.

Formal grammars and languages, Chomsky Normal Form, Greibach Normal Form, finite automata, pushdown automata, turning machines, computability.

Introduces the theory and practice of programming language translation. Topics include compiler design, lexical analysis, parsing, symbol tables, declaration and storage management, code generation, and optimization techniques.

An introduction to embedded system design and implementation, including specifications and modeling of embedded systems, hardware/software co-design, development methodologies, and system verification and implementation with CAD tools.

Mathematics Courses

Real Numbers and their operations, algebraic expressions, integer components, polynomial arithmetic and factorization, linear equations and inequalities, quadratic equations, lines, systems of linear equations, applications.

Real numbers, linear equations, systems of linear equations in two variables, quadratic equations, square roots, evaluating polynomials, radical and exponential expressions.

Trigonometry functions and graphs, identities and equations, solving triangles, vectors, polar coordinates, De Moivre 's Theorem.

Estimation, problem solving, sets, whole and rational number operations and properties, the set of integers, elementary number theory.

Rational numbers, percent, probability, statistics, algebraic methods and problem solving, with reference to the NCTM standards.

Geometry, measurement, transformations, coordinates, with reference to the NCTM standards.

Problem solving, number systems, logic, consumer math, basic algebra and geometry, basic probability and statistics.

Quadratic equations, radical expressions, complex numbers, systems of linear equations, graphs of functions, exponentials and logarithms.

Equations and inequalities, functions, systems of equations and inequalities, graphing, rational expressions, radical expressions, and applications of the above.

Properties and applications of algebraic and transcendental functions, angles, trigonometric ratios and identities, conic sections, polar coordinates, systems of equations, matrices.

The basic non-calculus mathematics for computer science in the areas of algebra, logic, combinations, and graph theory.

One and two dimensional analytic geometry, functions, limits, continuity, the derivative and its applications, maxima and minima, concavity, Newton's Method, integration, area, Fundamental Theorem of Calculus, numerical integration, transcendental functions.

Applications of integration, techniques of integration, improper integrals, sequences and series, Taylor's series, parametric equations, polar coordinates, conic sections.

Vectors, lines and planes in space, quadric surfaces, cylindrical and spherical coordinates, vector calculus, multivariable functions, partial differentiation and gradients, constrained and unconstrained optimization, double and triple integrals, volume, centroids, moments of inertia, line integrals.

Descriptive statistics, probability distributions, experiment design and sampling, confidence intervals, hypothesis testing. (Statistical software packages will be used)

Televised courses or other courses designed for special purposes.

Advanced topics in the geometry of triangles, transformations (dilatations, similitude, inversion), foundations of geometry, theorems of Ceva and Menelaus, Desargues' configuration and duality.

Vector spaces, linear transformations, inner products, orthonomality, eigenvalue problems, system of linear equations, matrices, determinants; application.

Axiomatic development of rings, integral domains, fields, polynomials, complex numbers, group theory Boolean algebra, isomorphism.

The history of mathematics from the earliest times until the 18th century, as developed in Egypt, India, China, Greece, and Europe.

Induction, well-ordering principle, Euclidean Algorithm, Chinese Remainder Theorem, Fermat's and Wilson's Theorems, prime numbers, multiplicative functions, quadratic reciprocity, sum of squares, Diophantine Equations, Fermat's Last Theorem, cryptology.

Limits, continuity and differentiation of complex variable functions, analytic functions, Cauchy-Riemann equations, integration, contours, Cauchy's Integral Formula, Taylor series and Cauchy's Residue Theorem.

A junior level course designed for a topic of special current interest, including televised courses. Prerequisite: As stated for each offering.

Vector algebra, derivatives, space curves, line and surface integrals, transformation of coordinates, directional derivative, divergence and Stokes' theorem; applications.

The types and solutions of differential equations of the first and second order. Solutions of differential equations and the application of physics and mechanics.

Discrete and continuous probability models, random variables, estimation of parameters, moments, conditional probability, independence, central limit theorem, sampling distributions.

Numerical solution of linear and non-linear algebraic equations and eigenvalue problems, curve fitting, interpolation theory, numerical integration, differentiation and solution of differential equations, algorithms and computer programming.

La place transform, series solutions, Bessel and Legendre equations, systems of equations, existence theorems, and numerical methods.

Decision theory, confidence intervals, hypothesis testing, multiple linear regression, correlations, analysis of variance, covariance, goodness of fit tests, non-parametric tests.

Set theory, cardinal numbers, orderings, continuity, homeomorphisms, convergence, separation, compactness, connectedness, completeness; topological, metric, regular, normal and Hansdorff spaces.

Integrates the work completed in the various courses. Reading and research oriented. (To be taken in one of the last two semesters prior to graduation.)

Functions of several variables, vector functions, gradient, partial differentiation, directional derivative, multiple integrals, maxima and minima, improper integrals, line and surface integrals, divergences and Stokes' theorem.

Convergence of infinite series, uniform convergence, Taylor's series, Fourier series, ordinary and partial differential equations; functions of a complex variable including integrals, power series, residues and poles, conformal mapping.

Review of the fundamental operations as applied to integers, fractions, and decimals; objective, methods and materials of instruction of mathematics, lesson and unit planning, classroom procedure in teaching mathematics, and use of mathematics laboratory.

Ordinary differential equations, series solutions, Laplace transforms, systems of differential equations, Fourier series, partial differential equations, applications.

Research

Real-Time Embedded Systems, Energy-Efficient Computing, Software/Hardware Codesign, Statistical Analysis, Cloud Computing, Combinatorics (finite geometry and algebraic coding theory), Algorithms, etc.

Mr. Alemayehu Mengste presented in the 33rd IEEE International Performance Computing and Communications Conference (Poster Session) with title “Reducing (m, k)-missing rate for overloaded real-time systems”, Austin, Texas, U.S.A., Dec 5-7, 2014.

Dr. Sonya Armstrong presented in the World Congress of Psychiatry with title "a statistical analysis of a Nigerian project on autism", September 2014.

Dr. Linwei Niu presented in the 2013 International Conference on Advanced Materials and Information Technology Processing with title “Low Power Scheduling for Embedded Real-Time Systems with Quality of Service Constraint”, Los Angeles, CA, U.S.A., Oct, 2013

The recent department publications are listed on the College of Natural Sciences and Mathematics website.

Linwei Niu, Gang Quan, "Peripheral-Conscious Scheduling for Weakly Hard Real-Time Systems", International Journal of Embedded Systems, Volume 7, No. 1, page 11-25, 2015.

Tianyi Wang, Linwei Niu, Shaolei Ren and Gang Quan, "Multi-Core Fixed-Priority Scheduling of Real-Time Tasks with Statistical Deadline Guarantee", IEEE/ACM Design, Automation & Test in Europe Conference (DATE’15), Grenoble, France, March 9-13, 2015.

Qiushi Han, Ming Fan, Linwei Niu and Gang Quan, "Energy Minimization for Fault Tolerant Scheduling of Periodic Fixed-Priority Applications on Multiprocessor Platforms", IEEE/ACM Design, Automation & Test in Europe Conference (DATE’15), Grenoble, France, March 9-13, 2015.

Alemayehu Mengste, Linwei Niu, "Reducing (m, k)-missing rate for overloaded real-time systems", 33rd IEEE International Performance Computing and Communications Conference (IPCCC’14 Poster Session), Austin, Texas, U.S.A., Dec 5-7, 2014.

Qiushi Han, Linwei Niu, Gang Quan, Shaolei Ren, Shangping Ren, "Energy efficient fault-tolerant earliest deadline first scheduling for hard real-time systems", Journal of Real-Time Systems: the International Journal of Time-Critical Computing Systems, Volume 50 Issue 5-6, pages 592-619, November, 2014

Linwei Niu, "Power-Low Scheduling for Real-Time Embedded Systems with QoS Constraints", WIT Transactions on Engineering Sciences, Volume 87, page 389-395, 2014.

Linwei Niu, "Energy-Efficient Scheduling for (m,k)-firm Real-Time Control Systems", International Journal of Automation and Power Engineering, Volume 3 Issue 1, page 28-31, January 2014

Linwei Niu, "Low Power Scheduling for Embedded Real-Time Systems with Quality of Service Constraints", 3rd International Conference on Advanced Materials and Information Technology Processing (AMITP’13), Los Angeles, CA, U.S.A., Oct 1-2, 2013

R. D. Baker, G. L. Ebert and K. L. Wantz, "Enumeration of Orthogonal Buekenhout Unitals , Designs, Codes and Cryptography" , 55 (2010), 261--283.

R. D. Baker, G. L. Ebert and K. L. Wantz, "Enumeration of Nonsingular Buekenhout Unitals, Note di Mathematica", 29 (2009), 69--90.

R. D. Baker, K. L. Wantz, "An arc partition of the Hughes plane using a field-theoretic model, Innovations in Incidence Geometry", 2 (2005), 83--92.

R. D. Baker, G. L. Ebert and T. Penttila, "Hyperbolic fibrations and q-clans , Designs, Codes and Cryptography", 34 (2005), 295--305.

R. D. Baker, K. L. Wantz, "Unitals in the code of the Hughes plane, J. Combinatorial Designs", 12 (2004), 35--38.

R. D. Baker, C. Culbert, G. L. Ebert and K. E. Mellinger, "Odd order flag-transitive affine planes of dimension three over their kernel , Advances in Geometry", Special Issue (2003), S215-S223.

R. D. Baker, A. Bonisoli, A. Cossidente and G. L. Ebert, "Cap partitions of the Segre variety S1,3", Discrete Mathematics , 255, (2002), 7--12. [This is the Proceedings of Combinatorics '98, Palermo, Italy .]

R. D. Baker, G. L. Ebert, Singer line orbits in PG(3,q) , "J. Statistical Planning and Inference", 95 (2001), 75--88.

R. D. Baker, G. L. Ebert, K. H. Leung, and Q. Xiang, "A trace conjecture and flag-transitive planes", J. Combinatorial Theory- Ser. A , 95 (2001), 158--168.

R. D. Baker, G. L. Ebert and K. L. Wantz, "Regular hyperbolic fibrations, Advances in Geometry", 1 (2001), 119--144.

R. D. Baker, J. M. Dover, G. L. Ebert, and K. L. Wantz, "Perfect Baer subplane partitions and three-dimensional flag-transitive planes , Designs, Codes and Cryptography", 21, (2000), 19-39.

R. D. Baker, J. M. Dover, G. L. Ebert, and K. L. Wantz, "Baer subgeometry partitions", J. Geometry, 67, (2000), 23--34.

Clubs

**Math & CS Club**

A work in collaboration between the computer science and mathematics majors on campus, the Mathematics & Computer Science Club is dedicated to advancing education and research in the fields of Robotics, Applied & Classical Mathematics, Computer Science, and Innovation in the sciences. With active members from all tiers of interests and experience, we invite anyone willing to participate in on-campus projects, community service, and advanced one-to-one research amongst peers and professors.

Faculty Advisor: Dr. Sonya Armstrong (304) 766-3390

Club President: Danford Smith

Scholarships

**Kathryn Lynch Scholarship (******Recipient must be a math major and have a minimum cumulative GPA of 3.0. Recommended by the Mathematics Department)

For research scholarship opportunities, please visit the College of Natural Sciences and Mathematics page

Please contact Dr. Michael Anderson, the Chair of the Department of Mathematics and Computer Science for more information on it.

Dr. Mohammad Bhuiyan

Phone: (304) 766-3087

towhid@wvstateu.edu

Kumara Jayasuriya, Ph.D.

Phone: (304) 766-3146

kjayasuriya@wvstateu.edu

Dr. Michael Anderson

Monday: 1:00-3:00

Tuesday: 9:30-11:30

Wednesday: 1:00-3:00

Thursday: 9:30-11:30

817 Wallace Hall

Phone: (304) 766-3393

andersmr@wvstateu.edu