100 courses with the subject MAT, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
For students whose background and placement indicate a need for basic work. This course does not carry credit toward any degree at the Univer- sity. Concepts to be covered include arithmetic review, linear equations and inequalities, polynomials, rational expressions and graphing. Entry level skills for MAT 109.
This course is for students whose background and/or placement indicates a need for algebra. It may be taken as an elective course, but will not count towards the mathematical competency requirements. Concepts to be covered include linear equations and inequalities, polynomial and rational expres- sions, radicals, complex numbers, quadratics and graphing exponential and logarithmic functions. Entry level skills for MAT 117.
Sets and simple logic. Solving linear, rational and quadratic equations, inequalities. Graphing linear equations and inequalities, quadratic equations. Exponential and logarithmic functions. Solving systems of equations. Linear programming. Prerequisite: MAT 100 or by placement.
UNV 101. .................................................................................. 1 - Natural Science* ................................................................... 3/4 -
Foreign Language – (2 semesters of same language. ............ 3
Trigonometric functions and their inverses. Analytic trigonometry. Applications of trigonometry. Fundamentals of analytic geometry. Complex numbers. Polar coordinates. Prerequisite: MAT 117 or by placement.
Elementary Education Lec. 3./Lab 1./Credit 3. Mathematics topics central to a comprehensive elementary school curriculum covered sequentially to parallel their development in the school curriculum. A laboratory will provide an understanding of the use of manipulatives in teaching mathematics.
Mathematics topics recommended by The National Council of Teachers of Mathematics (NCTM) Standards for the elementary school curriculum and the contents identified in the Virginia Foundation Blocks for Early Learning and the Virginia Standards of Learning to provide a foundation for teaching mathematics in grades preK-6. The coursework will integrate the Computer Technology Standards of Learning for Virginia’s Public Schools Grades K-12 and the International Society for Technology in Education (ISTE) standards for applying instructional technology to facilitate a variety of effective assess- ment and evaluation strategies to enhance productivity and professional practice, maximize student learning, and understand the social, ethical, legal, and human issues surrounding the use of technology in PK-12 schools. Hampton University 2026-2028
in Mathematics Sem./Pjt./Credit 1-3. Designed for freshman level undergraduates. Emphasis will be placed upon introduction to areas of mathematics research, regu- lar attendance at appropriate seminars, techniques of literature searches, and background study. This course may be taken twice. Hampton University 2018-2020
SOC 205 or PSY 203 . . . . . . . . . . . . . . . . . . . . . . . . 3 TOTAL 6 Sophomore Year Semester 1st 2nd
Introduction to limits, continuity, and derivatives. Rules of differentiation. Differentiation of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. Differentials and tangent lines. Higher order deriv- atives. Implicit differentiation. Applications of derivatives. Definite integral. Fundamental theorem of calculus. Integration of elementary functions. The calculus of the transcendental functions. Prerequisite: MAT 118.
Techniques of integration. Applications of the definite integral. Indeterminate limits. Improper integrals. Infinite series. Conic sec- tions and curves in three dimensions.
to Nuclear Fusion Lec. 3./Credit 3. Introduction to terminology of nuclear fusion. Definitions of plasma, tempera- ture, Debye shielding, plasma parameters. Elementary concepts of: plasma criterion, mass energy relation, fusion reactions, magnetic fusion, inertial fusion, magnetic fusion devices, tokamak geometry, single particle motions in plasmas, plasmas as fluids, waves in plasmas, equilibrium and stability.
PSY 346 to Statistical Methods
Logic. Algebra of sets. Nature of mathematical proofs. Mathematical induc- tion. Recursion. Elementary number theory. Relations and functions. Algebraic structure. Prerequisite: MAT 151 or above.
17 200-Level Technical Elective . . . . . . . . . . . . . . . . . . - 3 2nd EGR 218 Circuit Analysis I . . . . . . . . . . . . . . . . . . . . 3 - 3 EGR 220 ECE Lab I . . . . . . . . . . . . . . . . . . . . . . . . . 2 - - ELN 302 Circuit Analysis II . . . . . . . . . . . . . . . . . . . . - 3 - ELN 310 Circuit Analysis Lab II . . . . . . . . . . . . . . . . . - 1 3 TOTAL 15 16 3 Junior Year Semester 1st 2nd - ELN 303 Engineering Electronics I . . . . . . . . . . . . . . . 3 - - ELN 311 Engineering Electronics Lab. I . . . . . . . . . . . . 1 - 3 ELN 360 Intro to Cyber Physical Sys Security . . . . . . . . 3 - 1 ELN 362 Computer Network Security . . . . . . . . . . . . . - 3
Introduction to research problems in special areas of mathematics.
Software Packages I Lec. 1./Lab. 2./Credit 2. Introduction and implementation of software packages for the processing and visualization of mathematical and statistical data. Generating graphical display of computational data. Hampton University 2018-2020
Conic sections and curves in three dimensions. Vector operations. The calculus of the vector-valued functions. Differentiation, integration, and appli- cation in multi-variable calculus. Vector analysis. Prerequisite: MAT 152, with grade “C” or above for mathematics majors, or by placement.
Solutions and initial value problems. First order differential equations. Linear second order equations. Applications of linear second order equations. Method of Laplace transforms. Series solution of linear differential equations. Hampton University 2026-2028
Credit 3-12. On-the-job training in government or industrial organizations utiliz- ing mathematical analysis or computer science in their operations.
Random variables. Probability and density functions. Special distributions. Point and interval estimation. Tests of statistical hypotheses. Regression and analysis of variance. Prerequisite: MAT 152.
Deductive reasoning and nature of proof. Basic concepts and postulates. Incidence geometry. Congruence of segments and angles. Triangles. Circles. Proportion and similarity. Polygon areas and volumes. Introduction to non-Euclidean geometry.
Basic concepts of probability. Discrete random variables and their probability distributions. Continuous random variables and their probability distributions. Multivariate probability distributions.
Sampling distributions and the Central Limit theorem. Properties of point estimates and methods of estimation. Confidence intervals. Hypothesis testing. Linear models and estimation by least squares. Analysis of variance.
Algebraic structures applicable to computer sciences. Semigroups. Graphs. Lattices. Boolean algebras. Combinatorics. Prerequisites: MAT 152, 206 and 208.
Introduction to groups, rings, fields, and related topics. Emphasis on develop- ment of careful mathematical reasoning. Prerequisite: MAT 206 and 208.
The symmetric group. Vector spaces over arbitrary fields. Topics selected by the instructor. Prerequisite: MAT 320.
Research problems in special areas of mathematics. Course Descriptions – Main Campus 321
& Statistical Software Packages II Lec. 1./Lab. 2./Credit 2. An extension of MAT 224 course to develop application programs performing a variety of computational analyses. Prerequisite: MAT 224.
Complex numbers and functions. Analytic functions. Complex integration. Laurant and Taylor series. Residues. Conformal mappings and applications.
of Mathematics Lec. 3./Credit 3. Historical and philosophical aspects of mathematics and its interplay with other disciplines from antiquity to modern times. Emphasis on the develop- ment of selected mathematical concepts and problems in their historical settings. Prerequisite: MAT 206.
Concept of plasma, fusion, magnetic fusion, magnetic fusion devices, tokamaks, single particle motions, plasmas as fluids, waves in plasmas, diffu- sion and resistivity, equilibrium and stability, kinetic theory. Prerequisites: MAT 152 and PHY 204.
Finite precision arithmetic. Interpolation. Spline approximation. Numerical integration. Numerical solution of linear and non-linear systems of equations. Optimization of finite dimensional spaces.
Numerical methods for initial value problems of ordinary differential equations. Numerical solution of boundary value problems or ordinary differ- ential equations. Stability analysis. Numerical eigenvalue problems. Approxi- mation theory. Methods for partial differential equations. Prerequisites: MAT 260 and 403.
Classical and modern treatment. Curves, involutes, evolutes, surfaces, and transformation groups. Space curves, tensors and lie algebras. Prerequisites: MAT 251 and 320.
Sequences. Series and convergence. Topology of real and metric spaces. Limits and continuity. Differentiability and integrability of functions. Sequences and series of functions. Prerequisite: MAT 251 and 206.
Differentiability of functions. Integrability of functions. Uniform convergence of series and integrals. Topology of metric spaces.
School Teachers I (Previously MAT 520) Lec. 3./Credit 3. Basic contemporary course in elementary analysis for teachers of K-8 school mathematics. Systematic development of the number systems of arithmetic: natural numbers, whole numbers, integers, rational numbers, and real numbers. Special attention is given to the algorithmic processes of the funda- mental operations. Metric system. Topics from geometry. The coursework will integrate the Computer Technology Standards of Learning for Virginia’s Public Schools Grades K-12 and the International Society for Technology in Education (ISTE) standards for applying instructional technology to facilitate a variety of effective assessment and evaluation strategies to enhance productivity and professional practice, maximize student learning, and understand the social, ethical, legal, and human issues surrounding the use of technology in PK-12 schools. Prerequisite: Approval of the department chairperson.
Teachers II (Previously MAT 521) Lec. 3./Credit 3. Elementary topics from number theory, probability, data analysis, appropriate techniques of teaching mathematics in elementary schools. The coursework will integrate the Computer Technology Standards of Learning for Virginia’s Public Schools Grades K-12 and the International Society for Technology in Education (ISTE) standards for applying instructional technology to facilitate a variety of effective assessment and evaluation strategies to enhance produc- tivity and professional practice, maximize student learning, and understand the social, ethical, legal, and human issues surrounding the use of technology in PK-12 schools. Prerequisite: MAT 520.
within Regular School Program (A/S) Lec. 3./Credit 3. (Prev. MAT 522) Current trends and techniques for individualizing mathematics in regular classrooms K through grade 8 for the exceptional child, both gifted and those with minor learning disabilities and/or handicaps. Nonclinical diagnostic prescriptive” approach using appropriate sequences of instruction. Emphasis on the classroom environmental approach. Content supplemented when required. The coursework will integrate the Computer Technology Standards of Learning for Virginia’s Public Schools Grades K-12 and the International Society for Technology in Education (ISTE) standards for applying instruc- tional technology to facilitate a variety of effective assessment and evalua- tion strategies to enhance productivity and professional practice, maximize student learning, and understand the social, ethical, legal, and human issues surrounding the use of technology in PK-12 schools. Prerequisite: Approval of the department chairperson.
Introduction to research problems in special areas of mathematics. person. 322 Course Descriptions – Main Campus
Participation in research project in collaboration with faculty supervisor, or original independent research problem. Prerequisite: Advanced standing and consent of department chairperson.
Topical discussion and study in the field of mathematics. Prerequisites: MAT 251, 260, 310, 320.
Topical discussion and study in the field of mathematics. Prerequisites: MAT 251, 260, 310, 320.
Develop a thesis in an area/subject in pure or applied mathematics under the supervision of a thesis advisor during their senior year.
Complete the senior thesis developed in MAT 427 (Senior Thesis I course) under the supervision of a Thesis Advisor. An oral defense of the thesis is required. Prerequisite: MAT 427.
Equations Lec. 3./Credit 3. Solution methods and basic theory of linear systems. Stability and asymp- totic behavior of linear and non-linear systems. Boundary value problems and Green’s function. Sturm-Liouville theory.
A rigorous treatment of multivariable calculus including gradients, multiple integrals, line and surface integrals, Green’s theorem, the divergence, and Stokes’ theorem. Prerequisite: MAT 416.
Lec. 3./Credit 3. Theory of least squares. Simple linear and multiple regression. Analysis of variance. Application of these techniques to real data.
of Experiments Lec. 3./Credit 3. Experiments with a single factor. Randomized blocks. Latin squares and related designs. Incomplete block designs. Factorial experiments. Fractional replications. Nested designs. Multifactor experiments with randomization restrictions. Prerequisite: MAT 312.
Sampling from finite populations: simple random sampling, strati- fied random sampling, and regression estimation. Aspects of sys- tematic sampling, cluster sampling, and multistage sampling.
Deterministic and stochastic models. Topics include mathematical programming, queuing theory, inventory theory and non-linear programming. Prerequisite: MAT 311.
Fundamental concepts. Block search techniques. Least squares problem. Newton’s method. Eigenvalue problem. Gradient methods. Prerequisite: MAT 416.
Properties of integers. Divisibility and primes. Congruences. Power residues and quadratic reciprocity. Diophantine equations. Prerequisite: MAT 320. MAT (Mathematics – Undergraduate/Graduate)
Foundations of theory of infinite series of real and complex numbers. Conver- gence tests. Series of functions. Summation processes. Asymptotic series.
Vector algebra. Vector differentiation and integration. Gradient, divergence, and curl. General coordinates. Applications to geometry and physics. Prereq- uisites: MAT 208 and 251.
Algebra matrices. Determinants. Special Matrices. Solution of systems of linear equations. Eigenvectors and Eigenvalues. Linear programming and the simplex method.
Linear transformations, isomorphisms, linear functionals, dual spaces, ideal theory in polynomial rings, eigenvalues and eigenvectors, diagonaliz- able transformations, Jordan canonical form, normal and unitary operators, bilinear forms. Prerequisite: MAT 320.
Metric spaces, point set topology, open and closed sets, closure, continuity, connectedness, compactness, separability properties, Cauchy sequences and completeness, product spaces. Prerequisite: MAT 416.
Finite precision arithmetic, interpolation, spline approximation, numerical integration, numerical solution of linear and nonlinear systems of equations, optimization in finite dimensional spaces.
Numerical methods for initial value problems and boundary value problems of ODE’s, stability analysis, numerical eigenvalue problems, approximation theory, numerical methods for PDE’s. Prerequisite: MAT 506.
Probability of finite sample spaces; counting techniques. Random variables. Binomial distribution. Prerequisite: MAT 206.
Projective Geometry Lec. 3./Credit 3. Proposition of incidence, point-set theory, homogeneous coordinates. Theorems of Desargue, Pascal, Brianchon, and Klein, and the Erlanger program. Projective, affine, and Euclidean theories of conics and quadrics including analysis of regulus and paraboloid. General theories of transforma- tion. Prerequisite: MAT 251.
Lec. 3./Credit 3. Nonlinear second order differential equations, phase space analy- sis, perturbation methods. Elliptic functions. Floquet theory.
Lec. 3./Credit 3. Mathematical modeling of problems arising in different practical areas of everyday life, such as population dynamics, traffic flow, similarity analysis. Prerequisites: MAT 260.
Sequences and their limits, series, topology of the real line, metric spaces, limits and continuity, differentiability and integrability of functions, sequences and series of functions, and Riemann-Stiel integrals. Prerequisite : MAT 416.
Metric spaces, normed linear spaces, linear operators, linear functional and dual spaces, strong and weak convergence, Introduction to integration theory, LP spaces, Hilbert spaces. Prerequisites: MAT 416, MAT 208.
Complex numbers, analytic functions, Cauchy-Riemann equations, Cauchy theorem, Cauchy integral formula and its applications, Liouville’s theorem, Taylor and Laurent series, residues and poles, conformal mappings. Prereq- uisite: MAT 416.
Lec. 3./Credit 3. Basic contemporary course in elementary analysis for teachers of K-8 school mathematics. Systematic development of the number systems of arithmetic: natural numbers, whole numbers, integers, rational numbers, and real numbers. Special attention is given to the algorithmic processes of the fundamental operations. Metric system. Topics from geometry. Prerequisite: Approval of depart- ment chairperson.
Teachers II (Now MAT 421) Lec. 3./Credit 3. Elementary topics from number theory, probability, data analysis, appropriate techniques of teaching mathematics in elementary schools. Prerequisite: MAT 520.
School Program (A/S) (Now MAT 422) Lec. 3./Credit 3. Current trends and techniques for individualizing mathematics in regular classroom K through grade 8 for the exceptional child, both gifted and those with minor learning disabilities and/or handicaps. Nonclinical “diagnostic prescriptive” approach using appropriate sequences of instruction. Emphasis on the classroom environmental approach. Content supplemented when required. Prerequisite: Approval of department chairperson. MAT (Mathematics – Graduate Only)
Group theory, homomorphism theorems, Sylow theorems, elemen- tary ring theory, field theory, field extensions.
Mathematical foundations of probability, probability spaces, random variables, distribution functions, sampling distributions expectation and conditional expectation, laws of large numbers.
Parametric point estimation, Bayes estimators, parametric interval estimation, theory of hypothesis testing, linear models, nonpara- metric statistics.
Lec. 3./Credit 3. Classification of PDE’s, linear and quasi-linear wave equations, separation of variables, Sturm-Liouville problems, non-homoge- neous equations, Green’s functions for time independent problems, generalized Fourier series.
Heat equation: the maximum principle and uniqueness theorem, initial and initial-boundary value problems in finite and infinite domains. Laplace’s equation: maximum-minimum principle for harmonic functions, Dirichlet and Neumann problems in bounded and unbounded domains, Poisson integral formula, fundamental solution and Green’s function, Neumann function. Hyperbolic equations: fundamental solutions, hyperbolic potential theory in one, two, and three dimensions. Variational methods: Hamilton’s principle, s: Ritz-Galerkin method, generalized solutions for time dependent problem.
Axiomatic systems, basic concepts and postulates, finite geom- etries, congruence of segments, angles and triangles, parallel postulates and introduction to non Euclidean geometries. Prereq- uisites: MAT 206. 324 Course Descriptions – Main Campus
Lec. 3./Credit 3. Fundamentals of problem solving with emphasis on computer- based real-world problems, techniques using algebra, geometry, number theory and discrete mathematics will be discussed. Pre-
Lec. 3./Credit 3. Variational techniques, asymptotic and perturbation methods for solving linear and non-linear PDE’s, singular perturbation theory, asymptotic expansion methods for solving equations with bound- ary layer type solutions, integral equations, similarity methods. Prerequisite or corequisite: MAT 608.
Mathematics II Lec. 3./Credit 3. Tensor algebra, eigenvalues and eigenvectors of symmetric tensors, calculus of tensor functions, Helmholtz representation theorem, application of tensors to continuum mechanics, asymptotic expansion of integrals, Laplace’s method and Watson’s lemma, method of stationary phase and steepest descent, WKB approximations, 1 and 2 turning-point problems, tunneling, higher order WKB approximations, theory and examples of multiple-scale analysis, Floquet theory, Mathieu equation and stability. Prerequisite: MAT 614.
Lec. 3./Credit 3. Error analysis, solving nonlinear equations, solving systems of equations, interpolation, approximation theory, numerical differen- tiation and integration, numerical solutions of ODE’s and boundary value problems, introduction to numerical solution of PDE’s.
Introduction to measure theory, integration, Fubini’s theorem, dominated convergence theorems, Lp spaces, normed spaces, Hilbert spaces. Prereq- uisite: MAT 514.
Normed linear spaces, complete spaces, Banach and Hilbert spaces, linear functionals and dual space, elements of operator theory, spectral representation of operators with applications.
Univariate time series, Box Jenkins methodology, ARIMA models, nonsta- tionary models, forecasting, seasonal analysis and case studies. Prerequisite: MAT 607.
Conservation laws of mass, momentum and energy, exact and approximate solutions of Navier-Stokes equations, laminar boundary-layer theory, inviscid flows in two and three dimensions and irrotational flow theory. Prerequisite: MAT 608.
Thermodynamics and conservation equations in compressible flows, small perturbation theory, two dimensional subsonic and supersonic flows, transonic flow, shock wave interactions, holograph transformation, methods of characteristic, airfoil, slender bodies, thin-wing theory. Prerequisite: MAT 631.
Definition and general properties of stochastic processes, classifi- cation of stochastic processes, second order stochastic processes and their autocorrelation functions, continuity in quadratic mean, integration in quadratic mean and path by path, processes with orthogonal increment, stationary processes and their spectral rep- resentation. Prerequisite: MAT 606.
Spectral and thermal analysis of stationary processes, prediction and filtering for stationary processes, reproducing kernel Hilbert spaces, ARMA processes and their applications, mean square parameter estimations, brief study of nonstationary processes, random fields and multivariate stationary processes. Prerequisite: MAT 633.
Nuclear Fusion I, II Lec. 3./Credit 3. Plasma waves in magnetic fields, waves in bounded plasma, application of magnetohydrodynamics, pinch effects, magnetohydrodynamic waves, particle interactions in plasma, Boltzmann and Fokker-Planck equation, trans- port processes in plasma. Prerequisite: Approval of the department.
Physics I, II Lec. 3./Credit 3. Matrices, complex variables, Fourier series and transforms, Laplace trans- forms, ODE’s and PDE’s, special functions and polynomials, Green’s functions operators, orthogonal functions and expansions, boundary value problems. 324 Course Descriptions – Main Campus
First order systems, phase space analysis, eigenvalue analysis, Hamiltonian systems, generating functions, discrete maps, chaos, fractals, bifurcations and strange attractors. Prerequisite: Approval of the department.
This course documents completion of the written Master’s thesis and oral defense of that thesis.
Covers some topics in applied mathematics based on the students’ needs.
Covers some topics in pure mathematics based on the students’ needs.
Covers some topics in mathematics education based on the students’ needs.
Participation in research projects either in collaboration with faculty super- visor or independent research problem. Prerequisite: Approval of the depart- ment.
This credit does not count towards the degree. Graded S/U only. MBA (Business Administration Program)
Source: Hampton University's catalog, linked per course · table learning_unit · CourseShelf publish 59
