Department of Mathematics

http://www.ncat.edu/academics/schools-colleges1/cas/math/index.html

Guoqing Tang, Chairperson

OBJECTIVES

The objectives of the Mathematics Department are as follows:

  1. to prepare students for employment in government or industry as well as graduate studies;
  2. to avail students of the opportunity to undertake independent investigations in mathematics;
  3. to prepare students to teach and present mathematics in a modern, meaningful, and stimulating manner at secondary school level;
  4. to provide courses which ensure acquisition of basic mathematical skills and concepts for all students at the university;
  5. to encourage wide ranging professional growth and research by faculty;
  6. to encourage faculty involvement in university, college, and departmental governance, as well as in community activities;
  7. to understand and effectively respond to student retention and graduation rates.

DEGREES OFFERED

Mathematics (Applied Mathematics) – Bachelor of Science (Curriculum Guide)
Mathematics (Pure Mathematics) – Bachelor of Science (Curriculum Guide)
Mathematics (Statistics) – Bachelor of Science (Curriculum Guide)
Secondary Education – Mathematics Education – Bachelor of Science (Curriculum Guide)

GENERAL PROGRAM REQUIREMENTS

Admission, retention and graduation requirements for students enrolled in degree programs in the Department of Mathematics are based upon the general admission, retention and graduation requirements of the University. However, two units of algebra, one unit of plane geometry and one-half unit of trigonometry are required of all students who elect to pursue any curriculum offered in the department.

SPECIFIC PROGRAM REQUIREMENTS

Mathematics (Applied Mathematics): The Applied Mathematics major must complete a minimum of 120 semester hours of University courses, including 46 hours in mathematics, 3 hours in statistics, 8 hours in physics, 2 hours in computer programming and 15 hours of applications area electives. Also, a major must earn a “C” or better grade except for one passing grade below “C” if the student has GPA of at least 2.0 but less than 2.3, or two passing grades below “C” if the student has GPA of at least 2.3 in all required mathematics, statistics,  and application area elective courses.

Mathematics: The Mathematics major must complete a minimum of 120 semester hours of University courses. These include 60 hours in mathematics, 2 hours in computer programming and 16 hours in sciences. Also, a major must earn a “C” or better grade except for one passing grade below “C” if the student has GPA of at least 2.0 but less than 2.3, or two passing grades below “C” if the student has GPA of at least 2.3 in all required mathematics courses.

Mathematics (Statistics): The Statistics major must complete a minimum of 120 semester hours of University courses. These include 52 hours in mathematics, 15 hours in statistics, 8 hours in physics and 2 hours in computer programming. Also, a major must earn a “C” or better grade except for one passing grade below “C” if the student has GPA of at least 2.0 but less than 2.3, or two passing grades below “C” if the student has GPA of at least 2.3 in all required mathematics courses.

Secondary Education - Mathematics Education: The Secondary Mathematics Education major must complete a minimum of 120 semester hours of University courses. These include 47 hours in mathematics, 8 hours in sciences and 28 hours in education. Also, majors must earn a “C” or better grade in each required mathematics course taken to fulfill the mathematics requirement. All Teacher Education admissions, retention and graduate standards apply.

CAREER OPPORTUNITIES

Mathematical research and education are at the heart of some careers, while other careers utilize mathematics and its applications to build and enhance important work in the sciences, business, finance, manufacturing, communications, and engineering. Graduates with bachelor’s degrees in mathematics are hired by many types of firms, high tech and communications among them, although the job description might not explicitly mention mathematics. Firms actively recruiting mathematicians include engineering and information technology companies, banking, science and financial consulting firms, as well as biomedical and imaging enterprises.

MINOR IN APPLIED MATHEMATICS

The minor in applied mathematics consists of satisfaction of a prerequisite and successful completion with a grade of “C” or better in at least 19 credit hours of course work, specified as follows:

  1. Prerequisite to the Applied Mathematics minor: Students must complete one of the calculus courses, MATH 112 or MATH 131, with a grade of “C” or better.
  2. Required Course (4 credit hours): Students in the applied mathematics minor program are required to complete MATH 132 with a grade of  “C” or better
  3. Mathematics Electives (9-15 credit hours): Students in the applied mathematics minor program need to take three to five additional mathematics courses from the following list: MATH 223, MATH 231, MATH 224, MATH 240, MATH 311, MATH 431, MATH 432, MATH 440, MATH 450, MATH 480, MATH 507, MATH 511, MATH 608, MATH 612, MATH 623, MATH 650, MATH 651, MATH 690, MATH 692
  4. Application Electives (up to 6 credit hours): Students in the applied mathematics minor program may take up to two courses at 200 level or above from an application area in  biology, chemistry, physics, business and economics, computer science, or an engineering or technology discipline.

MINOR IN MATHEMATICS EDUCATION

All minor applications must be approved by the Department of Mathematics.

The minor in Mathematics Education consists of satisfaction of prerequisites and successful completion with a grade of “C” or better in at least 26 credit hours of course work to help qualify the minor candidate in mathematics education for a secondary school teaching license. The prerequisite and 25-26 credit hours of course work are specified as follows:

  1. Prerequisites to the Mathematics Education Minor:  a) Students must complete MATH 110 or MATH 111 and MATH 112 or MATH 131 and MATH 224, with a grade of “C” or better, b) Students must be formally admitted to the Teacher Education Program. This process includes: 1) A completed application approved by the Department of Mathematics, 2) A minimum cumulative GPA of 2.80 (on a 4.00 scale), 3) Passing scores on Praxis I, and 4) An interview by the Teacher Education Panel.
  2. Required courses (19 credit hours): Students in the mathematics education minor program are required to complete the following MATH and CUIN courses: MATH 132, MATH 205, MATH 206, CUIN, CUIN 520, CUIN 640, CUIN 660.
  3. Mathematics electives (6-7 credit hours): Students in the mathematics education minor program need to take at least two additional mathematics courses from the following list: MATH 231, MATH 242, MATH 430, or MATH 450.

All minor applications must be approved by the Department of Mathematics.

COURSE DESCRIPTIONS IN MATHEMATICS

MATH 099. Intermediate Mathematics Credit 3(3-0)
 This course covers elementary properties of real numbers and basic algebra through solving of quadratic equations by various means. It is required of students whose mathematics SAT scores are low and whose major curriculum includes either MATH 101, 103 or 111. (F;S;SS)

MATH 101. Fundamentals of Algebra and Trigonometry I Credit 3(3-0)
Numbers and their properties polynominals, rational expressions, rational exponents, radicals, equations and inequalities in one variable, relations and functions are studied. Prerequisite: An SAT Math score 440-480 or SAT Math II level score 430-460 or ACT Math score 18-20 or Math Department Algebra Test score between 15 and 19 or at least a "C" in MATH 099. (F;S;SS)

MATH 102. Fundamentals of Algebra and Trigonometry II Credit 3(3-0)
This course is a continuation of MATH 101. Quadratic functions, systems of linear equations, exponential and logarithmic functions, circular functions, trigonometric functions, analytical trigonometry and the binomial theorem will be studied. Prerequisite: MATH 101. (F;S;SS)

MATH 103. College Algebra and Trigonometry for Engineers and Scientists I Credit 3(3-0)
This course covers number systems, exponents, radicals, functions, linear and quadratic equations, complex numbers, inequalities, and graphs of polynomial and rational functions. Prerequisites: An SAT Math score between 440 and 489; or ACT Math score between 18-20; or SAT Subject Math Level II Test score between 430 and 460; or N.C. A&T Math Department-developed Algebra placement test score between 15 and 19, or at least a "C" in MATH 099. (F;S;SS)

MATH 104. College Algebra and Trigonometry for Engineers and Scientists II Credit 3(3-0)
A continuation of MATH 103. The course covers exponential, logarithmic and trigonometric functions and their graphs, also the geometry of triangles with applications. Trigonometric identities are covered, and the binomial theorem. Prerequisite: "C" or better grade in MATH 103. (F;S;SS)

MATH 105. Orientation for Freshmen and New Mathematics Majors Credit 1(1-0)
This course will guide and encourage proper mathematics study habits, and develop an informed mathematics major who will be prepared to move through his or her curriculum. Course topics include: how to study mathematics; ethics-academic honesty, respect for property, civility; technology instruction; key information: special deadlines, required tests; and other related topics. (F)

MATH 106. Introduction to Mathematical Reasoning and Problem Solving Credit 1(1-0)
This course will introduce mathematics/mathematics education majors to review of reasoning and problem solving skills necessary for mastering key concepts common to multiple mathematics courses. Critical mathematical reading and writing skills, such as annotation of lecture notes, will also be included. Prerequisite: Mathematics or Mathematical Education Majors. (S)

MATH 110. Pre-Calculus for Engineers and Scientists Credit 4(4-0)
Algebraic properties of the number system, fundamental operations, exponents and radicals, functions and graphs, solutions of equations and systems of equations, trigonometric functions and identities, inequalities, logarithms, progressions, mathematical induction, binomial theorem, permutations and combinations will be studied. Prerequisites: An SAT Math score 490-540 or an SAT Math Level II score 470-530 or an ACT Math score 21-23 or a Math Department Algebra Test score at least 20 or a Math Department Precalculus Test score 13-16, or at least a “C” in MATH 102. (F;S;SS)

MATH 111. College Algebra and Trigonometry Credit 4(4-0)
This course is a review of basic algebra; first and second degree equations; polynomial and rational functions-systems of equations-inequalities, right triangle trigonometry; and trigonometric identities and equations. Prerequisites: An SAT Math score 490-540 or an SAT Math Level II score 470-530 or an ACT Math score 21-23 or a Math Department Algebra Test score at least 20, or MATH 102. (F;S;SS)

MATH 112. Calculus for Business and Technology Credit 4(4-0)
This course includes a brief treatment of basic concepts of differential and integral calculus with applications to business, economics, social and behavioral sciences; polynomial, rational, exponential and logarithmic functions. Prerequisite: MATH 104, 110, or 111. (F;S;SS)

MATH 115. Mathematics of Business and Finance Credit 3(3-0)
This course includes a brief review of computing with whole numbers, decimals, fractions, percent, problem solving and the metric system. Simple interest, discount, partial payments, payroll wages and commission accounts, discounts and mark-ups, retailing, taxes, distribution of ownership, transactions in corporate securities, insurance, compound interest, annuities amortization and sinking funds will also be studied. Prerequisite: MATH 101, 110, or 111. (DEMAND)

MATH 123. Discrete Mathematics I Credit 3(3-0)
This course is an introduction to applied discrete mathematics. Topics include set theory, introduction to logic, functions, recursion, relations, properties of integers, and elementary matrix algebra. Prerequisite: MATH 110 or equivalent. (F;S)

MATH 131. Calculus I Credit 4(4-0)
Limits and continuity of functions, the derivative, applications of the derivative, the definite integral and applications of the definite integral will be studied. Prerequisite: At least “C-“ in one of the following courses: MATH 104, MATH 110 and MATH 111, or an SAT Math score at least 550 or an SAT Math Level II score at least 540 or an ACT Math score at least 24 or a Math Department Precalculus Test score at least 17. (F;S;SS)

MATH 132. Calculus II Credit 4(4-0)
Topics in analytic geometry, differentiation and integration of exponential, logarithmic, trigonometric, inverse trigonometric and hyperbolic functions, additional techniques and applications of integration, indeterminate forms, improper integrals, Taylor’s Formula and infinite series will be studied. Prerequisite: MATH 131. (F;S;SS)

MATH 205. Lab Course in  Mathematics Education I Credit 1(0-2)
This course examines the application and practice of methods, techniques, and materials on instruction in a real mathematics university classroom situation under supervision. Students will participate and engage in activities, which will aid in developing them as teachers. These activities include but are not limited to tutoring, serving as a supplemental instructor, assessing the work of students in lower level mathematics classes. Prerequisite: MATH 131. (F;S;SS)

MATH 206. Lab Course in  Mathematics Education II Credit 1(0-2)
This course is a continuation of MATH 205 with more focus on student learning outcome assessment, portfolio development as well as peer critique. Prerequisite: MATH 205. (F;S;SS)

MATH 211. Mathematical Logic and Proof Techniques (formerly MATH 311) Credit 4(3-2)
Emphasis is placed on development or writing skills and the ability to understand and develop proofs and logical arguments. Topics include quantifiers, rules of logic, and methods of mathematical proof, with applications to sets, integers, real numbers, functions, relations, and combinatorics. In the weekly 2-hour active learning lab, exercises and proofs are given to groups of two to four. The students present solutions and the solutions are critiqued by the students and the instructor. Prerequisite: MATH 132. (S)

MATH 215. Introduction to Mathematical Literature and Research Tools Credit 1(1-0)
This course will introduce mathematics majors to tools necessary to conduct research in mathematics at the undergraduate level. Topics include LaTeX mathematics editing, conducting a literature search, research ethics, reading and annotating lecture notes, bibliography and correct citation style. The students will write a short paper incorporating these skills. Prerequisite: Mathematics Majors. (F)

MATH 223. Discrete Mathematics II Credit 3(3-0)
This course is a continuation of MATH 123. Topics include Boolean algebra and applications elementary graph theory, trees and applications, and mathematical techniques for algorithm analysis. Prerequisite: MATH 123 or 311. (F;S;SS)

MATH 224. Introduction to Probability and Statistics Credit 3(3-0)
This is a general course covering fundamentals of statistics, central tendencies, variabilities, graphic methods, frequency distributions, correlations, reliability of measures, theory and methods of sampling and descriptive and analytical measures of statistics. Prerequisite: MATH 111. (F;S;SS)

MATH 231. Calculus III Credit 4(4-0)
This course will cover plane curves and polar coordinates, vector and solid geometry, vector valued functions, partial differentiation, multiple integrals, applications of multiple integrals and vector analysis. Prerequisite: MATH 132. (F;S;SS)

MATH 240. Introduction to Scientific Programming for Mathematics Majors Credit 3(3-0)
This course teaches mathematics majors problem-solving in mathematics through algorithmic and computer program development. MATLAB and Mathematica will be used to apply mathematical algorithms and problem-solving techniques to selected numerical or symbolic computation problems from algebra, trigonometry, discrete mathematics and calculus. Prerequisite: MATH 131. (F;S;SS)

MATH 242. College Geometry Credit 3(3-0)
Postulational systems, Euclid’s Parallel Postulate, a brief study of non-Euclidean geometries, Euclidean geometry as a special case of other geometries and defects of Euclid’s system will be studied. Prerequisite: MATH 132. (DEMAND)

MATH 310. Mathematics for Health Informatics (formerly MATH 410) Credit 3(3-0)
This course examines the mathematics of health informatics. It covers mathematical core competencies that are needed for advanced research in health informatics. Topics include cryptography, biostatistics and linear programming. In addition the course covers new developments in the application of mathematics to health informatics privacy and security. Prerequisite: MATH 132 and 224. (F;S)

MATH 320. History of Mathematics (formerly MATH 420) Credit 3(3-0)
This course is a survey of the development of mathematics by chronological periods with biographical references, illustrations of national and racial achievements and discussion of the evaluation of certain important topics of elementary mathematics. Prerequisite: MATH 231. (DEMAND)

MATH 323. Theory of Equations (formerly MATH 423) Credit 3(3-0)
Methods of solving cubics, quartics and other algebraic equations, methods of approximating roots-systems of equations, and elements of determinants and matrices will be studied. Prerequisite: MATH 132. (DEMAND)

MATH 330. Use of Technology in Teaching Mathematics (formerly MATH 420) Credit 3(3-)
This course covers the use of graphing calculators and mathematical software in doing and teaching of mathematics at the secondary and college levels. It includes an introduction to a calculator based programming language with in-depth treatment of algorithms and control structures. Application areas include algebra, geometry, trigonometry, precalculus, calculus, statistics, and elementary linear algebra. Prerequisites: MATH 224, 132. (S)

MATH 340. Numerical Methods (formerly MATH 440) Credit 3(2-2)
Numerical methods as related to programming techniques, interpolation, extrapolation, approximate solutions of algebraic and transcendental equations, simultaneous linear equations, initial-value, characteristic-value and boundary-value problems, partial differential equations of the hyperbolic parabolic and elliptic types will be studied. Corequisite: MATH 240. (DEMAND)

MATH 341. Introduction to Differential Equations (formerly MATH 431) Credit 3(3-0)
This course will cover first order differential equations, higher order linear differential equations, matrices and determinants, systems of linear algebraic equations, systems of linear differential equations, and Laplace transforms. Prerequisite: MATH 132. (F;S;SS)

MATH 350. Linear Algebra and Matrix Theory (formerly MATH 450) Credit 3(3-0)
This course is an introduction to linear algebra and matrix theory; the algebra of matrices and its application to the solutions of systems of linear equations, determinants, real and complex vector spaces, bases, dimension, linear transformations, eigenvalues and eigenvectors. Prerequisite: MATH 132. (F;S;SS)

MATH 340. Numerical Analysis  (formerly MATH 460) Credit 3(3-0)
This course is an introduction to principles and techniques of numerical mathematics. Topics in round-off error analysis, the approximation of functions, derivatives and integrals, and the numerical solutions of non-linear equations, ordinary differential equations and the systems of linear equations will be studied. Prerequisites: MATH 231, 240 and 450. (DEMAND)

MATH 365. Introduction to Scientific Computing (formerly MATH 465) Credit 3(3-0)
This course will cover scientific computing fundamentals, and expose the student to high-performance programming languages and scientific computing tools. Topics include errors, approximations, floating point operations, polynomial interpolation, cubic splines, numerical integration, numerical linear algebra, solution of nonlinear equations, the initial value problems. The MATLAB or MAPLE computing environment is used. Prerequisites: MATH 332 and 350. (S)

MATH 370. Introduction to Mathematical Modeling (formerly MATH 480) Credit 3(3-0)
This course explores the fundamentals of both discrete and continuous mathematical modeling of problems in various fields where mathematics is used. The course will be project oriented and will emphasize multi-disciplinary problem solving. Prerequisites: MATH 231, 332, Corequisites: MATH 432, 350. (F;S)

MATH 377. Intermediate Analysis I (formerly MATH 507) Credit 3(3-0)
This course includes a rigorous treatment of the fundamental principles of analysis, limits, continuity, sequences, series, differentiability and integrability and functions of several variables. Prerequisites: MATH 211 and 231, or consent of instructor. (F)

MATH 378. Intermediate Analysis II (formerly MATH 508) Credit 3(3-0)
This course is a continuation of MATH 377. Prerequisite: MATH 377. (S)

MATH 397. Co-Operative Industrial Experience I Variable: 1-4
This course is a supervised learning experience in a specified private or governmental facility. The student must be in industry full time for at least one summer or one semester and must perform supervised work that will enhance his/her educational background in an area related to mathematics and/or computer science. In addition to the supervisor’s evaluation on the field, the student’s performance will be evaluated by a departmental faculty committee, based upon reports, informal portfolios and forum and/or a seminar presented by the student upon his/her return to the University. (DEMAND)

MATH 398. Co-Operative Industrial Experience II Variable: 1-4
The description of this course is the same as MATH 397 and is normally the second Co-op experience of the student related to mathematics and/or computer science. The maximum number of credit hours that may be earned by a student in the two courses MATH-397 and MATH 398 is six. (DEMAND)

MATH 407. Intermediate Analysis I (formerly MATH 507) Credit 3(3-0)
This course includes a rigorous treatment of the fundamental principles of analysis, limits, continuity, sequences, series, differentiability and integrability and functions of several variables. Prerequisites: MATH 211 and 231, or consent of instructor. (F)

MATH 408. Intermediate Analysis II (formerly MATH 508) Credit 3(3-0)
This course is a continuation of MATH 507. Prerequisite: MATH 407. (S)

MATH 411. Abstract Algebra I (formerly MATH 511) Credit 3(3-0)
Elementary properties of integers, rings, integral domains, and fields, properties of groups, including abelian groups, permutations, homomorphisms, normal subgroups, and factor groups will be studied. Prerequisite: MATH 211, 231 or consent of instructor. (F)

MATH 412. Abstract Algebra II (formerly MATH 512) Credit 3(3-0)
This is a continuation of MATH 511, including topics in commutative ring theory, Galois field theory and module theory. Prerequisite: MATH 411. (S)

MATH 432. Introduction to Applied Mathematics (formerly MATH 332) Credit 3(3-0)
This course will cover Fourier series, partial differential equations, complex variables, Taylor and Laurent series and residue theory. Prerequisite: MATH 332. (F;S;SS)

MATH 451. Vector Analysis (formerly MATH 550) Credit 3(3-0)
Vector and tensor calculus, covariant and contravariant components; integral theorems; applications to geometry, mechanics and electromagnetic theory will be studied. Prerequisite: MATH 332. (DEMAND)

MATH 485. Special Topics in Mathematics Credit 3(3-0)
This course covers special topics selected from a field of mathematics such as analysis, algebra, differential geometry, topology, differential equations, dynamic systems, numerical analysis, operations research, optimizations, probability, statistics, or mathematics education. The course may be repeated for a maximum of nine credit hours. Prerequisite: Senior standing and consensus of the instructor. (DEMAND)

MATH 490. Independent Study (formerly MATH 692) Credit 3(3-0) 
This course offers guided independent undergraduate study under faculty supervision in an approved mathematical topic. The course may be repeated for a maximum of six credit hours. (F;S;SS)

MATH 492. Seminar in Mathematics (formerly MATH 505)  Credit 1(1-0)
Methods of preparing and presenting seminars, presentation of seminars in current developments in mathematics and/or topics of interest which are not included in formal courses will be studied. Required for mathematics majors. Prerequisite: MATH 407 or 411. (DEMAND)

MATH 496. Capstone Experience in Mathematics Credit 3(2-2)
The capstone experience in mathematics synthesizes the development of mathematical reasoning and analysis abilities as well as problem solving skills necessary for pursuing a career or graduate education in a mathematics-related discipline. Student will undertake an inquiry-based or exploration-based project involving an area of pure mathematics, applied mathematics or statistics, exhibiting senior level competency in analysis and computation. Requirements for completion include but are not limited to a written project report prepared in LaTeX and an oral presentation, both of which demonstrate critical thinking ability and professionalism and ethics in research. Prerequisites: MATH 320, MATH 340 or STAT 328, and MATH 377. (F;S)

STAT 214. Statistics for Social Sciences Credit 3(3-0)
This is an introductory course in statistics whose purpose is to promote understanding of statistical reasoning and using numerical information to make judgments and decisions. Students will learn to understand graphical and numerical presentations of data, and to judge the reliability of results from studies, surveys and experiments. The methods and concepts studied will be presented in the context of the real-world problems in the social, physical and biological sciences. Prerequisite: MATH 101 or MATH 103. (F;S;SS)

STAT 324. Intermediate Statistics Credit 3(3-0)
This course is a continuation of Math 224 and covers two sample z and t-tests, paired t-tests, two sample proportion tests, Chi-square tests, simple linear regression, nonparametric statistics, one-way Analysis of Variance. Students will be introduced to computing and graphics using statistical software. Prerequisite: MATH 224. (F;S;SS)

STAT 328. Introduction to Statistical Modeling Credit 3(3-0)
This course covers simple and multiple linear regression, the design of experiments and the Analysis of Variance, one and two factor. Methods of variable selection and diagnostic testing are discussed. Statistical software, such as R or SAS, is used. Prerequisite: MATH 224 or STAT 324. (F;S)

STAT 423. Probability Theory and Applications Credit 3(3-0)
This course begins with an introduction to sample spaces and probability, including combinatorics. It covers continuous and discrete random variables, including multi-variate random variables and expectations; also marginal and conditional distributions are derived. The course introduces moment generating functions, and covers the central limit theorem and its applications. Prerequisite: MATH 224 and MATH 231. (F;S)

STAT 424. Introduction to Statistical Inference Credit 3(3-0)
This course covers the properties of estimators computed from sample data, and covers methods of estimation, such as maximum likelihood, the method of moments, and confidence intervals. The principles of hypothesis testing are considered including likelihood ratio and the power of a test. Prerequisite: STAT 423. (F;S)

STAT 425. Introduction to Statistical Computing Credit 3(3-0)
This course covers the use of SAS for analyzing large data sets and performing statistical analyses on them. R will be taught from the point of view of functional and object oriented programming, also Monte Carlo methods including resampling, randomization and simulation. Prerequisite: STAT 328 or STAT 424. (F;S)

STAT 426. Introduction to Stochastic Processes Credit 3(3-0)
This course begins with a review of probability and random variables. Markov processes, Poisson processes, waiting times, renewal phenomena, branching processes, queuing system, and service times are covered. Prerequisite: STAT 423. (F;S)

Advanced Undergraduate and Graduate

MATH 600. Introduction to Modern Mathematics for Secondary School Teachers Credit 3(3-0)
Elementary theory of sets, elementary logic and propositional systems, nature and methods of mathematical proofs, structure of the real number system will be studied. Evaluation of instructional software and use of computer integrated instruction to teach pertinent concepts in secondary school mathematics will also be included. Prerequisite: Consent of the instructor. (DEMAND)

MATH 601. Technology and Applications in Secondary School Mathematics Credit 3(3-0)
This course covers techniques of teaching algebra, advanced algebra, trigonometry, and other secondary mathematics using graphing calculators, software packages and other technology. Prerequisite: Consent of the instructor. (DEMAND)

MATH 602. Modern Algebra Credit 3(3-0)
This course covers mappings, binary operations, groups, rings, integral domains, fields, and some applications to coding and cryptography. Prerequisite: MATH 311 or consent of the instructor. (DEMAND)

MATH 603. Introduction to Real Analysis Credit 3(3-0)
The following topics will be covered in this course: elementary set theory, functions, axiomatic development of the real numbers, metric spaces, convergent sequences, completeness, compactness, connectedness, continuity, limits, sequences of functions, differentiation, the mean value theorem, Taylor’s theorem, Riemann integration, infinite series, the fixed point theorem, partial differentiation, and the implicit function theorem. Prerequisite: MATH 311 or consent of the instructor. (DEMAND)

MATH 604. Modern Geometry for Secondary School Teachers Credit 3(3-0)
Re-examination of Euclidean geometry, axiomatic systems and the Hilbert axioms, introduction to projective geometry and other non-Euclidean geometries will be included. Prerequisite: MATH 600 or consent of the Department of Mathematics. (DEMAND)

MATH 606. Mathematics for Chemists Credit 3(3-0)
This course includes a review of those principles of mathematics which are involved in chemical computations and derivations from general chemistry through physical chemistry; topics covered include significant figures, methods of expressing large and small numbers, algebraic operations, trigonometric functions and an introduction to calculus. (DEMAND)

MATH 607. Theory of Numbers Credit 3(3-0)
Divisibility properties of the integers, the Euclidean algorithm, congruences, diophantine equations, number-theoretic functions and continued fractions will be studied. Prerequisite: Twenty hours of college mathematics. (DEMAND)

MATH 608. Methods of Applied Statistics Credit 3(3-0)
This course introduces the SAS programming language, and uses it in the analysis of variance, both single and multifactor. It includes various methods of hypothesis testing and constructing confidence intervals. The course covers simple and multiple linear regression, including model building and variable selection techniques. Elements of time series and categorical data analysis are covered. Prerequisite: MATH 224. (DEMAND)

MATH 610. Complex Variables I Credit 3(3-0)
The following topics will be covered in this course: complex number system, limits of complex sequences, complex functions, continuity, limits of functions, derivatives, elementary functions, Cauchy-Riemann equations, antiderivatives harmonic functions, inverse functions, power series, analytic functions, analytic continuation, contour integrals, Cauchy’s theorem and Cauchy’s integral formula. Prerequisite: MATH 231. (DEMAND)

MATH 611. Complex Variables II Credit 3(3-0)
Mathematics 611 is a continuation of Mathematics 610. The following topics will be covered in this course: Liouville’s theorem, the fundamental theorem of algebra, the winding number, generalized Cauchy theorems, singularities, residue calculus, Laurent series, boundary value problems, harmonic functions, conformal mappings, Poisson’s formula, potential theory, physical applications and the Riemann mapping theorem. Prerequisite: MATH 610. (DEMAND)

MATH 612. Advanced Linear Algebra (Formerly MATH 520) Credit 3(3-0)
This course covers vector spaces, linear transformations and matrices determinants and systems of linear equations, eigenvalues and eigenvectors, diagonalization, inner products, bilinear quadratic forms, canonical forms, and application to engineering, and applied sciences. Prerequisite: MATH 450 or consent of the instructor. (DEMAND)

MATH 620. Elements of Set Theory and Topology Credit 3(3-0)
Operations on sets, indexed families of sets, products of sets, relations, functions, metric spaces, general topological spaces, continuity, compactness and connectedness will be included. Prerequisites: MATH 231 and consent of the instructor. (DEMAND)

MATH 623. Probability Theory and Applications Credit 3(3-0)
This course begins with an introduction to sample spaces and probability, including combinatorics. It covers continuous and discrete random variables, including multi-variate random variables and expectations; also marginal and conditional distributions are derived. The course introduces moment generating functions, and covers the central limit theorem and its applications. Prerequisite: MATH 231. (DEMAND)

MATH 624. Theory and Methods of Statistics Credit 3(3-0)
This course introduces methods of statistical estimation and inference including the following topics: sufficient statistics, confidence sets, hypothesis tests, and maximum likelihood methods. The theory of uniformly most powerful tests and the Neyman-Pearson Lemma are covered. Other topics include least squares estimation, the linear model, and Bayesian methods. Prerequisite: MATH 623. (DEMAND)

MATH 625. Mathematics for Elementary Teachers, K-8, I Credit 3(3-0)
This course is designed for in-service and prospective teachers who have as their goal “to teach the basic skills and competencies of mathematics sought in today’s world.” The course emphasizes that the teacher first, must have the knowledge and skills in order to accomplish this goal. It stresses fundamentals of arithmetic, sets and operations, number systems, fractions, decimals, percents, estimation, consumer arithmetic, problem solving and traditional and metric geometry and measurement. This course may not be used for degree credit. (DEMAND)

MATH 626. Mathematics for Elementary Teachers, K-8, II Credit 3(3-0)
This is a continuation of MATH 625; provides no credit towards a degree in mathematics; is not open to secondary school teachers of mathematics. Credit on elementary education degree. Prerequisite: MATH 625. (DEMAND)

MATH 631. Linear and Non-Linear Programming Credit 3(3-0)
This course includes optimization subject to linear constraints; transportation problems, SIMPLEX algorithm; network flows; application of linear programming to industrial problems and economic theories; introduction to non-linear programming. Prerequisites: MATH 450 and a high level programming language. (DEMAND)

MATH 632. Games and Queue Theory Credit 3(3-0)
This course is a general introduction to game theory; two-person-non-zerosum-non-cooperative games; two-person cooperative games; reasonable outcomes and values; the minimax theorem. Introduction to queuing theory; single server queuing processes; many serve queuing processes; applications to economics and business. Prerequisite: MATH 224, MATH 450, or consent of the instructor. (DEMAND)

MATH 633. Stochastic Processes Credit 3(3-0)
This course begins with a review of Probability and Random Variables. Markov Processes, Poisson Processes, Waiting Times, Renewal Phenomena, Branching Processes, Queuing System, Service Times are covered. Prerequisite: MATH 623 or consent of the instructor. (DEMAND)

MATH 650. Ordinary Differential Equations Credit 3(3-0)
This is an intermediate course in ordinary differential equations with emphasis on applications. Topics include linear systems and various phase plane techniques for non-linear ordinary differential equations. Prerequisite: MATH 431. (DEMAND)

MATH 651. Partial Differential Equations Credit 3(3-0)
This course includes introduction to complex variables and residue calculus, transform calculus, higher order partial differential equations governing various physical phenomena, nonhomogeneous boundary value problems, orthogonal expressions, Green’s functions and variational principles. Prerequisites: MATH 431 and 432. (DEMAND)

MATH 652. Methods of Applied Mathematics Credit 3(3-0)
This course covers matrix theory, systems of linear equations, vector spaces, eigenvalue problem and its applications to systems of linear ODEs and mechanical vibrations, the simplest problems of calculus of variations, Euler equations, boundary conditions, extensions of Euler equations, Hamilton’s Principles, constraints and Lagrange multipliers, introduction to integral equations, and solutions in iterative and other methods. Prerequisites: MATH 431 and 432. (DEMAND)

MATH 665. Principles of Optimization Credit 3(3-0)
Algebra, linear inequalities, duality, graph, transport network; linear programming; special algorithms; selected applications. An upper level course. Prerequisites: MATH 231 or equivalent and MATH 240 and 450. (DEMAND)

MATH 675. Graph Theory Credit 3(3-0)
Varieties of graphs, graph theory algorithms, and applications of graph theory to other disciplines will be studied. Prerequisite: MATH 450. (DEMAND)

MATH 685. Special Topics in Applied Mathematics (formerly MATH 691) Credit 3(3-0)
Topics are selected from differential equations, numerical methods, operations research, applied mechanics and from other fields of applied mathematics. Prerequisites: Senior or graduate standing and consent of the instructor. (DEMAND)

MATH 690. Scientific Programming for Mathematical Scientists Credit 3(1-4)
This course covers the implementation of the computer in the Mathematical sciences. MATLAB will be used to apply algorithms and solve problems in areas such as differential equations and Linear algebra. Probability and statistical problems will be studied through the "R" language. (F;S)

DIRECTORY OF FACULTY

Bampia A. Bangura
Associate Professor
B.S., Njala University College; M.S., North Carolina A&T State University, Ed.D., Louisiana State University

Shea D. Burns
Associate Professor
B.S., North Carolina A&T State University; M.S., Ph.D., Howard  University

Gilbert Casterlow, Jr.
Professor Emeritus
B.S., M.S., North Carolina A&T State University; Ph.D., Pennsylvania State University

Samuel Casterlow
Adjunct Lecturer
B.S., M.S., North Carolina A&T State University

Mingxiang Chen
Professor
B.S., M.S., Huazhong Normal University; Ph.D., Georgia Institute of Technology

Dominic P. Clemence
Professor
B.S., North Carolina A&T State University; M.S., Ph.D., Virginia Polytechnic Institute and State University

Kathy M. Cousins-Cooper
Associate Professor
B.S., Virginia Polytechnic Institute and State University; M.S., North Carolina A&T State University; Ph.D., University of South Florida

Ahmad A. Deeb
Adjunct Assistant Professor
B.S., Yarmouk University; M.S., Ohio University; Ph.D., Kent State University

Zachary Denton
Assistant Professor
B.S., Middle Tennessee State University; M.S., Ph.D., University of Louisiana at Lafayette

Kossi D. Edoh
Associate Professor
B.S., Cap Coast University; M.S., Ph.D., Simon Fraser University

Gregory Gibson
Associate Professor
B.A., State University of New York/College at Geneseo; M.S., Ph.D., North Carolina State University

Seong-Tae Kim
Assistant Professor
B.A., Hanyang University; M.A., Korea University; M.S., Ph.D., North Carolina State University

Alexandra Kurepa
Professor
B.S., M.S., University of Zagreb; Ph.D., University of North Texas

Yaw Kyei
Associate Professor
B.S., University of Ghana; M.S., Ph.D., North Carolina State University

Liping Liu
Associate Professor
B.S., Huazhong University of Science and Technology; Ph.D, University of Alberta

Nicholas Luke
Associate Professor and Student Success Coordinator
B.S., North Carolina A&T State University; M.S., Ph.D, North Carolina State University

Janis M. Oldham
Associate Professor
B.A., University of Chicago; M.S., Purdue University; Ph.D., University of California-Berkeley

Suzanne M. O’Regan
Assistant Professor
B.S., Ph.D., University College Cork

Choongseok Park
Assistant Professor
B.S., Yonsei University; Ph.D., Ohio State University

Yevgeniy A. Rastigejev
Associate Professor
M.S., Moscow Institute of Physics and Technology; M.S., Ph.D., University of Notre Dame

Thomas C. Redd
Associate Professor
B.S., Fort Valley State University; M.S., University of Oklahoma; M.S., Ph.D., Brown University

John P. Roop
Associate Professor
B.S., Roanoke College; M.S., P.h.D., Clemson University

Katrina Staley
Lecturer
B.S., M.S., North Carolina A&T State University; Ph.D., North Carolina State University

Guoqing Tang
Professor and Chairperson
B.S., Anhui University; M.S., Nanjing University of Science and Technology; Ph.D., Rutgers University

Barbara Tankersley
Associate Professor
B.S., Paine College; M.S., North Carolina A&T State University; M.S., Ph.D., Howard University

Paramanathan Varatharajah
Associate Professor
B.S., University of Jaffna; M.S., Ph.D., University of Arizona

John P. Ward
Assistant Professor
B.S., University of Georgia; Ph.D., Texas A&M University

A. Giles Warrack
Associate Professor
B.S., M.S., California State Polytechnic University; Ph.D., University of Iowa

Alisha Williams
Adjunct Lecturer
B.S., M.S., North Carolina A&T State University

Stacey C. Zimmerman
Adjunct Lecturer
B.S., M.S., North Carolina A&T State University