86 courses with the subject MATH, 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.
Lecture Hours: 3 Lab Hours: 0 An introduction to mathematical sets, logic, probability, statistics, and the metric system.
or 4 Lecture Hours: 3 or 3 Lab Hours: 0 or 2 This course provides a foundation in algebraic concepts and problem solving skills for students who are preparing to take college algebra or precalculus I. Topics include arithmetic of real numbers, simplifying expressions (polynomial, rational, radical, etc.), and solving equations and inequalities (linear, quadratic, radical, etc.). When taken for 4 credits, two lab hours are included. 878
or
Lecture Hours: 3 Lab Hours: 0 A trigonometry course containing the following topics: trigonometric functions defined on angles, circular functions, graphs, inverse trigonometric functions, identities, trigonometric equations, law of cosines, law of sines, and complex numbers. A graphing calculator is required. 823
278 f requirement is waived. hour lab.
227
or higher Scientific Literacy - Natural Sciences: 7 Credits At least one natural science class must include its associated lab. Some majors increasing requirement to 8 credits. Select from the following:
373 n credit if requirement is waived. ire a one-hour lab.
298
Scientific Literacy - Natural Sciences: 7 Credits At least one natural science class must include its associated lab. Some majors require two lab sciences, increasing requirement to 8 credits. (Required courses for Middle Grades Science Concentration: BIOL 150 / BIOL 150L or BIOL 160/ BIOL 160L and one of the following: ASTR 101/ASTR 101L or ASTR 102/ASTR 102L) Select from the following:
PSYC 210 General Psychology Program Requirements, 76 Credits ACCT 211 Financial Accounting and Reporting ACCT 212 Managerial Accounting ACCT 300 Accounting Information Systems ACCT 311 Intermediate Accounting I ACCT 312 Intermediate Accounting II ACCT 320 Federal/State Income Tax ACCT 321 Cost Accounting ACCT 411 Advanced Accounting ACCT 412 Governmental and Public Accounting ACCT 422 Auditing ACCT Elective*
Lecture Hours: 3 Lab Hours: 2 The first course of a three-semester sequence in calculus with analytic geometry, including studies of graphs, functions, limits, differentiation, applications of differentiation, integration, and applications of the definite integral.
Lecture Hours: 3 Lab Hours: 0 The first course of a two-semester sequence in discrete mathematics, providing the theoretical base and support for computer science and including operations on sets; Cartesian products and tuples; combinatorial objects; Venn diagrams; event spaces and basic probability; number systems; the statement calculus; rules of inference and validity of arguments; inductive proofs; the concept of an algorithm; equivalence relations; partial ordering relations; graphs and digraphs as relations, including trees and shortest paths in digraphs; basic definitions and notations of functions; and recurrences for the analysis of algorithms.
Lecture Hours: 3 Lab Hours: 2 The second course of a three-semester sequence in calculus with analytic geometry, including studies of the notion of integral, the Fundamental Theorem of Calculus, techniques of integration, improper integrals, applications of integration, differential equations, infinite series and tests of convergence, power series, and Taylor series. 881
382 program to be eligible to have
Lecture Hours: 3 Lab Hours: 0 A continuation of MATH 150, including an introduction to graph theory, graph algorithms, representations of graphs, planar graphs, graph algorithms, minimal spanning trees, tree traversals, decision trees, game trees, network models, max flow min cut theorem, matching, Boolean algebra and combinatorial circuits and applications, automata, grammars and languages, the closest-pair problem, and convex hull.
Lecture Hours: 3 826
MATH 300 or higher
Special Education Concentration
Lecture Hours: 3 Lab Hours: 0 A survey of mathematics incorporating biographical accounts of persons who have contributed significantly to the development of mathematics, descriptions of their achievements, and discussions of other major topics of interest in mathematics.
Lecture Hours: 3 Lab Hours: 0 This course is an introduction to classical and modern cryptography. We apply elementary number theory to the problems of cryptography. Topics include classical cryptosystems, basic number theory, the data encryption standards, the RSA algorithm, discrete logarithms, Hash functions, digital signatures, digital cash, secret sharing schemes, and the zero knowledge techniques. A computer algebra system will be used.
Lecture Hours: 3 Lab Hours: 0 An introductory course in difference equations and discrete dynamical systems including studies of difference calculus, first order difference equations, higher order linear difference equations, basic theory of linear systems of difference equations, linear periodic systems, stability theory, Liapunov's second method, Z-transform, asymptotic behavior of solutions. 883
Lecture Hours: 3 Lab Hours: 0 A course including such topics as maximization and minimization problems in graphs and networks, matching theory, (shortest paths, minimum spanning trees, maximum flows, minimum cost flows); transportation and trans-shipment problems, NP-completeness.
Lecture Hours: 3 Lab Hours: 0 The first course of a two-semester sequence in differential equations, emphasizing applications to science and engineering and including the following topics: first order differential equations, second order linear differential equations, higher order linear equations, the Laplace Transform, and series solutions of second order linear equations.
Lecture Hours: 3 Lab Hours: 0 A study of major topics of current interest in mathematics not covered in existing courses.
Lecture Hours: 3 Lab Hours: 0 The course closely follows the financial mathematics syllabus of society of actuaries. The purpose of the course is to develop practical knowledge of the theory of interest in both finite and continuous times, know how these concepts are used in the various annuity functions, and be able to apply the concepts of present and accumulated value for various streams of cash flows as a basis for future use in reserving, valuation, pricing, duration, asset/liability management, investment income, capital budgeting, and contingencies.
Lecture Hours: 3 884
Three credits from MATH 300 or higher
Lecture Hours: 3 Lab Hours: 0 This course is a continuation of MATH 361 and presents a deeper and more extended study of rings, ring homomorphisms and ideals, factor rings, properties of ideals, integral domains, unique factorization domains, polynomial rings, irreducibility tests, field extensions, algebraic extensions, an introduction to Galois Theory, and related topics.
Lecture Hours: 3 Lab Hours: 0 A study of methods and applications of optimizing a linear function subject to linear constraints, the theory of the simplex method and duality; parametric linear programs; sensitivity analysis; modeling and computer implementation.
Lecture Hours: 3 Lab Hours: 0 885
Lecture Hours: 3 Lab Hours: 0 A course examining diagnostic teaching in the context of a general approach to mathematics instruction, with emphasis on strengthening students' knowledge of mathematics and instructional psychology.
Lecture Hours: 3 Lab Hours: 0 This course is a study of illustrative topics in discrete applied mathematics including sorting algorithms, information theory and data compression, coding theory, secret codes, generating functions, Fourier transforms, linear programming, game theory. There is an emphasis on topics that have direct application in the real world.
Lecture Hours: 3 Lab Hours: 0 Introduction to calculus of variations and optimal control for dynamical systems; the Pontryagin Maximum Principle, necessary conditions for optimality and computational techniques for solution of the necessary conditions.
Lecture Hours: 3 Lab Hours: 0 A comprehensive and rigorous study of the concepts of limit, continuity, topology on the real line, properties of continuous functions, Mean Value Theorem and Taylor's Formula, and calculus of one variable. 886
Lecture Hours: 3 Lab Hours: 0 This course presents the basic principles of wavelets and data compression. Wavelets have had quite a huge impact in the signal processing community, especially with regard to applications like compression (speech, audio, image and video, modeling and restoration). The course will cover topics including: inner products and norms of n-dimensional vectors, orthogonal matrices and block matrix arithmetic, Entropy and Cumulative Energy, peak signal to noise ratio, complex numbers and Euler's formula, Fourier series, convolutions, lowpass/highpass filters, Haar Transformations, Daubechies filters, Gaussian white noise, and the VISUShrink denoising technique. A significant amount of the course is dedicated to programming.
Lecture Hours: 3 Lab Hours: 0 This course is intended to help students establish mathematical skills needed for solving various practical problems. The focus of the course is to seek the connections between mathematics and practical systems, and illustrate the modeling procedure through examples from physics, biology, chemistry, engineering, economics and other areas. Students will learn how to apply various modeling techniques to create mathematical description of a practical system, and use analysis and computer simulations to make predictions about the system's behavior.
Lecture Hours: 3 Lab Hours: 0 A continuation of MATH 331, including the following topics: numerical methods; nonlinear differential equations and stability; Fourier Series and classical partial differential equations; boundary value problems and the Sturm-Liouville Theory; the system of linear differential equations; and the existence theory.
Lecture Hours: 3 Lab Hours: 0 An introduction to methods of research and independent study in mathematics. For seniors and/or honor students. 887
Lecture Hours: 3 Lab Hours: 0 A course for pre-service and in-service teachers at the intermediate level, emphasizing sets and the set theory, the development of the real number system, measurements, the use of manipulative materials, elements of geometry, computer utilization, and problem solving.
Lecture Hours: 3 Lab Hours: 0 A course containing the following topics: first order partial differential equations; the wave equation; the diffusion equation; the Laplace equation; d'Alembert's solution; Duhamel's principle; the classification of partial differential equations; elliptic, parabolic, and hyperbolic partial differential equations; Stability theory; energy conservation; Sturm-Liouville problems; Fourier series; integral transforms; Laplace transforms; Greens's functions; and variational methods. Applications in medicine, engineering, meteorology, and industry will be discussed. Mathematical software such as ACSL, Maple, and Mathematica will be used.
Lecture Hours: 3 Lab Hours: 0 A course on numerical methods including topics such as: nonlinear equations, linear systems, interpolation and polynomial approximation, curve fitting numerical differentiation, numerical integration, numerical optimization, solution of differential equations, eigenvalues, and eigenvectors. Mathematical software such as Maple, Matlab, and Mathematica will be used.
Lecture Hours: 3 Lab Hours: 0 Advanced study of major topics in mathematics from fields such as topology, advanced calculus, complex analysis, or modern algebra. Course may be repeated for credit with approval of department. 888
Lecture Hours: 3 Lab Hours: 0 A comprehensive and rigorous study of real variable functions including differentiability, the Riemann Integral, sequences of functions, infinite series, the generalized Riemann integral, and an introduction to the Lebesgue Integral.
Lecture Hours: 3 Lab Hours: 0 A study of the elementary properties of integers, invisibility, Euclid's Algorithm, prime numbers, and congruences.
Lecture Hours: 3 Lab Hours: 0 A study of topics in the field of point set topology, including topological and metric spaces and an overview of various topological properties such as separation axioms, countability, compactness, connectedness, continuity, and homeomorphisms.
Lecture Hours: 3 Lab Hours: 0 This course is a comprehensive study of teaching secondary mathematics with technology. The emphasis is placed on algebra, calculus, data analysis, probability, and statistics.
Lecture Hours: 3 Lab Hours: 0 This course is a continuation of MATH 485. It provides a comprehensive study of teaching secondary 889
Other Course Requirements .........................................................................................................17 credits PHYS 211 Mechanics (4) PHYS 212 Heat (4) STAT 301 Introduction to Probability (3) STAT 302 Mathematical Statistics (3) CSC 101or above (3) Program Restricted Electives .......................................................................................................9 credits Select nine credits from the following: CHEM 140 or above CSC 101 or above MATH 300 level or above PHYS 300 level or above STAT 400 Level or above Business/Economics 200 level or above Electives ........................................................................................................................................6 credits
teaching and research, incorporating evaluations of instructional software and examining integrative techniques for applications of microcomputers in middle grades math, consumer math, general math, geometry, advanced mathematics, trigonometry, and calculus. Prerequisite: Consent of department.
mathematics education from methodological and research perspectives. This will be accomplished by developing teaching, research, writing, presentation, and discussion skills. MATH 505 (3-3-0) Analysis for Teachers I: An exploration of proofs of functions, limits, continuity, derivatives, and definite integrals. Prerequisite: Consent of department. MATH 506 (3-3-0) Analysis for Teachers II: A continuation of MATH 505, emphasizing proofs and covering such topics as the integral, applications of the integral, L’Hosital’s Rule, infinite series, and multiple integrals. Prerequisite: MATH 505 or consent o f department.. MATH 507 (3-3-0) Linear Algebra I: The first course in a two-semester sequence in linear algebra, including such topics as systems of linear equations, matrices, vector spaces, linear transformations, determinants, canonical forms of matrices, and inner product spaces. Prerequisite: MATH 251 and MATH 361. MATH 508 (3-3-0) Numerical Analysis: A practical survey of numerical analysis, with topics included from iterative methods of nonlinear equations, the approximation theory, numerical solutions of ordinary and partial differential equations, and numerical linear algebra. Prerequisite: MATH 251, MATH 331, or MATH 507.
An exploration of proofs of functions, limits, continuity, derivatives, and definite integrals. Prerequisite: Consent of department.
A continuation of MATH 505, emphasizing proofs and covering such topics as the integral, applications of the integral, L’Hosital’s Rule, infinite series, and multiple integrals. Prerequisite: MATH 505 or consent o f department..
Lecture Hours: 3 Lab Hours: 0 The first course in a two-semester sequence in linear algebra, including such topics as systems of linear equations, matrices, vector spaces, linear transformations, determinants, canonical forms of matrices, and inner product spaces.
A practical survey of numerical analysis, with topics included from iterative methods of nonlinear equations, the approximation theory, numerical solutions of ordinary and partial differential equations, and numerical linear algebra.
theories and computational techniques of linear programming - the simplex method, the concept of duality, and the Duality Theorem, matrix representation of the Simplex Algorithm, sensitivity analysis, integer programming - and applying them to transportation problems. Prerequisite: MATH 372. MATH 511 (3-3-0) Abstract Algebra I: The first course of a two-semester sequence in abstract algebra, including such topics as groups, normal subgroups, quotient groups, homomorphisms, Cayley’s Theorem, Cauchy’s Theorem, permutation groups, Sylow’s Theorem, direct products, finite abelian groups, rings, ring homomorphisms, ideals, quotient rings, Euclidean rings, and polynomial rings. Prerequisite: MATH 362, or consent of department MATH 521 (3-3-0) Real Analysis I: The first course of a three-semester sequence in real analysis, including such topics as real number systems, elements of point-set topology and metric spaces, sequences and series of real numbers, continuity, differentiation, integration, the Reimann-Stieltjes Integral, sequences, and series of functions, point wise and uniform convergence, functions of several variables, implicit function, and inverse function theorems. Prerequisite: MATH 412 or MATH 461or consent of department. MATH 531 (3-3-0) Topology I: The first course in a three-semester sequence in topology, presenting an axiomatic development of topological spaces and including such topics as continuity, compactness, connectedness, separation axioms, metric spaces, and convergence. Prerequisite: MATH 481 or consent of the department. MATH 541 (3-3-0) Complex Analysis I: The first course of a three-semester sequence in complex variables, including such topics as complex numbers and their geometrical representation, point sets, sequences and mappings in the complex plane, single-valued analytic functions of a complex variable, elementary functions, and integration. Prerequisite: MATH 492 or consent of department.
Lecture Hours: 3 Lab Hours: 0 The first course of a two-semester sequence in abstract algebra, including such topics as groups, normal subgroups, quotient groups, homomorphisms, Cayley's Theorem, Cauchy's Theorem, permutation groups, Sylow's Theorem, direct products, finite abelian groups, rings, ring homomorphisms, ideals, quotient rings, Euclidean rings, and polynomial rings. 254
Lecture Hours: 3 Lab Hours: 0 The first course of a three-semester sequence in real analysis, including such topics as real number systems, elements of point-set topology and metric spaces, sequences and series of real numbers, continuity, differentiation, integration, the Reimann-Stieltjes Integral, sequences, and series of functions, point wise and uniform convergence, functions of several variables, implicit function, and inverse function theorems.
Lecture Hours: 3 Lab Hours: 0 The first course in a three-semester sequence in topology, presenting an axiomatic development of topological spaces and including such topics as continuity, compactness, connectedness, separation axioms, metric spaces, and convergence.
Lecture Hours: 3 Lab Hours: 0 An in-depth investigation of a variety of techniques and topics pertaining to curriculum, methodology, technology and research in teaching mathematics in grades 6-9, including an exploration of problem analysis, descriptive statistics and elementary probability. Statistical software such as Excel and SPSS will be used to reinforce concepts.
MATH 61 Abstract Algebra II
theorems, linear systems, autonomous systems, periodicity, boundedness and stability of solutions, nonlinear equations, perturbation theory, Sturm-Liouville systems, etc. Prerequisite: MATH 331 and MATH 521.
A study of the theories of Laplace and Fourier transforms and their applications both to ordinary and partial differential equations (including integral equations) and to problems in engineering and the physical sciences.
analysis concepts used in systems modeling and optimization: vector spaces, linear mappings, spectral decompositions, adjoins, orthogonal projections, duality, fixed points and differentials, with additional emphasis on least squares estimations, minimum norm problems in Banach spaces, linearization in Hilbert space, iterative solutions of systems of equations, and optimization problems. Prerequisite: MATH 521. MATH 611 (3-3-0) Linear Algebra II: The second course of a two-semester sequence, including such topics as vector spaces, linear independence and bases, dual spaces, inner product spaces, modules, extension fields, algebra of linear transformations, matrices, canonical forms; triangular form, Nilpotent transformation, Jordan form, rational canonical form, Hermitan, unitary, and Normal transformations real quadratic forms. Prerequisite MATH 507. MATH 612 (3-3-0) Abstract Algebra II: A presentation of advanced topics in abstract algebra, including categories and functions, direct sums and free abelian groups, finitely generated abelian groups, commutative rings, localization, principal rings, direct products and sums of modules, homology sequence, Euler characteristic, Jordan-Holder Theorem, free algebras, tensor products, Noetherian rings and modules, extensions of rings, extension of homomorphisms, transcendental extension of homorphisms, Hilbert’s Nullsteliensatz, algebraic sets, representations of finite groups, and semi-simplicity of group algebra. Prerequisite: MATH 511.
The second course of a two-semester sequence, including such topics as vector spaces, linear independence and bases, dual spaces, inner product spaces, modules, extension fields, roots of polynomials, elements of Galois theory, solvability by radicals, Galois groups over the rationals, algebra of linear transformations, matrices, canonical forms; triangular form, Nilpotent transformation, Jordan form, rational canonical form, Hermitan, unitary, and Normal transformations real quadratic forms. Prerequisite MATH 507.
Lecture Hours: 3 Lab Hours: 0 A presentation of advanced topics in abstract algebra, including categories and functions, direct sums and free abelian groups, finitely generated abelian groups, commutative rings, localization, principal rings, direct products and sums of modules, homology sequence, Euler characteristic, Jordan-Holder Theorem, free algebras, tensor products, Noetherian rings and modules, extensions of rings, extension of homomorphisms, transcendental extension of homorphisms, Hilbert's Nullstellensatz, algebraic sets, representations of finite groups, and semi-simplicity of group algebra.
STAT 561 Probability Theory STAT 562 Applied Regression Analysis
A continuation of MATH 621, including such topics as extension of a linear function, construction of measure, the space of Lp (X), (1 # p # 4), integration on a product space, complex measures, the Haar integral, bounded functions, and almost periodic functions. Prerequisite: MATH 621
Lecture Hours: 3 Lab Hours: 0 A continuation of MATH 531, including the following additional topics: embedding and metrication, function and quotient spaces, and complete metric spaces. 257
homology theory, exactness, the excision theorem, Mayer-Vietoris sequences, the Eilenbert-Steenrod axioms, cohomology and duality, and higher homotopy groups. Prerequisite: MATH 631.
including metric spaces and the topology in C, elementary properties and examples of analytic functions, complex integration, singularities, the maximum modulus theorem, compactness and convergence in the space of analytic functions. Prerequisite: MATH 541 or consent of the department. MATH 642 (3-3-0) Complex Analysis III: A continuation of MATH 641, including such advanced topics as Runge’s Theorem, analytic continuity and Reimann surfaces, harmonic functions, entire functions, and the range of an analytic function. Prerequisite: MATH 641.
A continuation of MATH 641, including such advanced topics as Runge’s Theorem, analytic continuity and Reimann surfaces, harmonic functions, entire functions, and the range of an analytic function. Prerequisite: MATH 641.
normed spaces, Banach spaces, the dual space, continuous linear mappings (spaces), topological vector spaces, the open mapping and closed graph theorems, equicontinuous mappings, and theorems of Banach and Banach-Steinhaus, convex sets, separation of convex sets, and the Hahn-Banach Theorem. Prerequisite: MATH 621. MATH 652 (3-3-0) Functional Analysis II: The second course of a two-semester sequence, including such topics as locally convex spaces, metrizable locally convex spaces, the determination of various dual spaces and their topologies, compact convex sets, weakly compact sets, semireflexivity, reflexivity, extreme points, Krien Milman Theorem, Eberlein’s Theorem, and metric properties of normed spaces. Prerequisite: MATH 651.
The second course of a two-semester sequence, including such topics as locally convex spaces, metrizable locally convex spaces, the determination of various dual spaces and their topologies, compact convex sets, weakly compact sets, semireflexivity, reflexivity, extreme points, Krien Milman Theorem, Eberlein’s Theorem, and metric properties of normed spaces. Prerequisite: MATH 651.
A study of topics such as Cauchy-Kowalewsky theorem, existence and regularity of the solutions, Dirichlet problem for linear elliptic equations, Cauchy problems, hyperbolic equations, and fundamental solutions of linear equations with constant coefficients. Prerequisites: MATH 331 and MATH 571.
components, christoffel symbols, and applications of tensor analysis. Prerequisite: Consent of the department.
An extensive research experience in an approved topic of choice.
and rigorous study of algebra within the scope of research interests of the instructor. Prerequisite: MATH 612 and the consent of the instructor. MATH 720 (3-3-0) Topics in Real Analysis: Discussions of special and advanced topics, forming an axiomatic and rigorous study of real analysis within the scope of research interests of the instructor. Prerequisite: MATH 632 and consent of the instructor.
Discussions of special and advanced topics, forming an axiomatic and rigorous study of real analysis within the scope of research interests of the instructor. Prerequisite: MATH 632 and consent of the instructor.
rigorous study of topology within the scope of research interests of the instructor. Prerequisite: MATH 632 and the consent of the instructor.
and rigorous study of complex analysis within the scope of research interests of the instructor. Prerequisite MATH 642 and the consent of the instructor. MATH 899 (0-0-0) Thesis Non-Credit: This course is required for students that have completed their course work and the number of thesis hours for credit required in their graduate degree program. Students who will continue to use University resources in completing their thesis must enroll in this course.
This course is required for students that have completed their course work and the number of thesis hours for credit required in their graduate degree program. Students who will continue to use University resources in completing their thesis must enroll in this course. Course Descriptions 83
Source: Fayetteville State University's catalog, linked per course · table learning_unit · CourseShelf publish 61
