Math Courses
MRTC Classes should look at MRTC.UARK.EDU
These classes include:
MATH0003 - Beginning & Intermediate Algebra
MATH1203 - College Algebra
MATH1213 - Plane Trigonometry
MATH2043 - Survey of Calculus
MATH2053 - Finite Mathematics
¨ Note: Although classes are marked with the semesters they are offered, students should be aware that there can be changes.
Math 0003 Beginning and Intermediate Algebra (FA, SP, SU). For students who have inadequate preparation for taking MATH 1203. Credit earned in this course may not be applied to the total required for a degree.
MATH 1203C College Algebra (FA, SP, SU) Taught with a co-requisite drill component. Pre-requisite: ACT math score of 22 or above. Credit will be allowed for MATH 1203.
MATH 1204 College Algebra with Review (Sp, Fa) Same as MATH 1203 and MATH 1203C with additional support, increased class time, additional review, and computerized lab component. Only one of MATH 1203, MATH 1204, and MATH 1285 may be counted for degree credit. Prerequisite: MATH 0003 with C or better or a score of 19 on Math ACT.
MATH 1213 Plane Trigonometry (FA, SP, SU) Credit will be allowed for only one, either MATH 1213 or MATH 1285.
MATH 1285 Precalculus Mathematics (FA, SP) Topics in algebra and trigonometry. To be taken by students who expect to take MATH 2554.
MATH 2033 Mathematics in Society (Sp, Su, Fa) Introduction to a variety of topics in contemporary mathematics, drawn mainly from applications to the social sciences. Topics include graph theory, statistics and voting systems. Prerequisite: MATH 1203 or MATH 1204 with a C or better or a score of 24 on Math ACT.
Registration in MATH 2043, 2053, or 2554 is permitted if the following is satisfied instead of the listed prerequisite; The student scores sufficiently high according to the placement scores. This placement is indicated in the advising materials for each student.
• Note: Beginning with Fall 2007, all courses up through MATH 3083 will require a “C” or better in their prerequisite courses before a student can move to the next class.
MATH 2043C Survey of Calculus (FA, SP, SU) Taught with a co-requisite drill component. Selected topics in elementary calculus and analytical geometry for students in business, agriculture, and social sciences. Credit will be allowed for only one of MATH 2043 and MATH 2554. Prerequisite: MATH 1203.
MATH 2053C Finite Mathematics (FA, SP, SU) Taught with a co-requisite drill component. Selected topics in probability, vectors and matrices, linear programming. Terminal course for students in business, agriculture, and social sciences. This course will not prepare students to take other mathematical courses. Prerequisite: MATH 1203
MATH 2053H Honors Finite Mathematics (FA, SP)
MATH 2103 Discrete Mathematics (FA, SP, SU) Taught with a co-requisite drill component. Introductory study of sets, relations, logic, proofs, algorithms, counting methods, graph theory, trees, and Boolean algebras. Prerequisite: MATH 1023 or ACT math score of 21 or above.
MATH 2103H Honors Discrete Mathematics (SP). Introductory study of sets, relations, logic, proofs, algorithms, counting methods, graph theory, trees, and Boolean algebras. Prerequisite: MATH 1203 or ACT math score of 21 or above.
MATH 2183 Mathematical Reasoning (FA, SP, SU) Mathematical and statistical reasoning are required in contexts of growing complexity and sophistication. The purpose of this course is to cause students to possess the power and habit of mind to search out quantitative information, critique it, reflect upon it, and apply it to their public, personal, and professional lives. Prerequisite: MATH 1203 with a grade of C or better.
MATH 2213 Survey of Mathematical Structures I (FA, SP, SU) Geometry and measurement, statistics and probability. Prerequisite: MATH 1203.
MATH 2223 Survey of Mathematical Structures II (Sp, Su, Fa) Geometry and measurement, and statistics and probability. Prerequisite: MATH 1203 with a grade of C or better.
MATH 2554C Calculus I (FA, SP, SU) Taught with a co-requisite drill component. Derivative of functions of one variable, applications of the derivative, introduction of the integral, and applications. Credit will be allowed for only one of MATH 2554 or MATH 305. Prerequisite: MATH 1203 and MATH 1213 (or MATH 1285) with a grade of C or better.
MATH 2554H Honors Calculus I (FA, SP) Topics in analytic geometry and calculus. Students may not receive credit for both MATH 2043 and MATH 2554.
MATH 2564C Calculus II (FA, SP, SU) Taught with a co-requisite drill component. Integral calculus of one variable and infinite series. Prerequisite: MATH 2554 with a grade of C or better.
MATH 2564H Honors Calculus II (FA, SP) Taught with a co-requisite drill component.Integral calculus of one variable and infinite series. Prerequisite: MATH 2554
MATH 2574C Calculus III (FA, SP, SU) Taught with a co-requisite drill component. Differential and integral calculus of several variables, vector calculus. Prerequisite: MATH 2564.
MATH 2574H Honors Calculus III (Sp, Su, Fa) Differential and Integral calculus of several variables, and vector calculus. Prerequisite: MATH 2564 with a grade of C or better. (Same as MATH 2574C)
MATH 2701 Survey of Higher Math (Sp) This course overviews the landscape of higher mathematics, touching on many of the themes of modern mathematics: proof, logic, cardinality, analysis, modeling, abstract algebra, number theory, topology and geometry. Prerequisite: MATH 2564
MATH 3083 Linear Algebra (FA, SP, SU) Systems of linear equations, vectors spaces, linear transformations, matrices, and determinates. Prerequisite: MATH 2554 or MATH 2043.
MATH 3093 Abstract Linear Algebra (Sp,Fa) A proofbased course on vector spaces, linear transformations, matrices, determinants, eigenspaces and eigenvalues, with applications. Recommended for mathematics majors. Prerequisite: MATH 2564 with a C or better.
MATH 3103 Combinatorics and Discrete Mathematics (SP) Basic combinatorial techniques including the study of networks, generating functions, principles of inclusion/exclusion, Zn, Hamming, coding theory, graph theory, and block designs. Prerequisites: MATH 2103
MATH 3133 History of Mathematics (IR) Prerequisite: MATH 2554 and junior standing.
MATH 3203 Theory of Numbers (Irregular) Prerequisite: MATH 2554 and junior standing.
MATH 3353 Numerical Methods (FA, SP) Approximate solution of algebraic equations and differential equations. Applications of numerical methods and finite differences to differentiation and integration. Prerequisite: MATH 2574 and proficiency in a high-level computer language.
MATH 3404C Differential Equations and Laplace Transform (FA, SP, SU) Taught with a co-requisite drill component. First and second order ordinary differential equations, the Laplace transform, matrix systems of ordinary differential equations.
Prerequisite: MATH 2574
MATH 3423 Advanced Applied Mathematics (FA, SP, SU) Matrices, Fourier analysis, partial differential equations.
Prerequisite: MATH 3404
MATH 3773 Foundations of Geometry I (FA) Axiomatic method; Euclidean geometry; non-Euclidean geometry.
MATH 3923H Honors Colloquium (IR) Covers a special topic or issue, offered as part of the honors program. May be requested. Prerequisite: honors candidacy (not restricted to candidacy in mathematics)
MATH 399VH Honors Mathematics Course (1-6) (FA, SP, SU) May be repeated for up to 12 hours of degree credit.
Prerequisite: junior standing.
MATH 400V Directed Readings (1-6) (FA, SP, SU)
MATH 4103 Finite Dimensional Vector Spaces (IR) Linear functionals, matrix representation of linear transformations, scalar product, spectral representation on linear transformations.
Prerequisite: MATH 3083
MATH 4113 Introduction to Abstract Algebra II (FA) Topics in abstract algebra including finite abelian groups, linear groups, factorization in commutative rings, quadratic field extensions, Gaussian integers, Wedderburn’s theorem, and multilinear algebra. Prerequisite: MATH 3113
MATH 4153 Mathematical Modeling (IR) Mathematical Techniques for formulating, analyzing, criticizing deterministic models taken from the biological, social, and physical sciences. Techniques include graphical methods, stability, optimization, and phase plane analysis. Prerequisite: MATH 3404
MATH 4163 Dynamic Models in Biology (IR) Mathematical and computational techniques for developing, executing, and analyzing dynamic models arising from the biological sciences. Both discrete and continuous time models are studied. Applications include population dynamics, cellular dynamics, and the spread of infectious diseases. Prerequisite: MATH 3404 (same as BIOL 4163)
MATH 4253 Symbolic Logic I (FA) Rigorous analyses of the concepts of proof, consistency, equivalence, validity, implication, and truth. Full coverage of truth-functional logic and quantification theory (predicate calculus). Discussion of the nature and limits of mechanical procedures (algorithms) for proving theorems in logic and mathematics. Informal accounts of the basic facts about infinite sets. (Same as PHIL 4253)
MATH 4353 Numerical Linear Algebra (SP) Numerical methods for problems of linear algebra, including the solution of very large systems, eigenvalues, eigenvectors. Prerequisite: MATH 3083.
MATH 4363 Numerical Analysis (FA) General iterative techniques, error analysis, root finding, interpolation, approximation, numerical integration, numerical solution of differential equations. Prerequisite: MATH 3404.
MATH 4443 Complex Variable for Application (SP) Complex
MATH 4503 Differential Geometry and Vector Calculus (IR) Topics include: Vector differential and integral calculus, Stokes’ Theorem in 3-space, classical differential geometry in 3-space (curves, surfaces), differential forms, general Stokes’ Theorem, applications to hydrodynamics, and electromagnetism. Prerequisite: MATH 3083 and MATH 4513.
MATH 4513 Advanced Calculus I (FA) The real and complex number systems, basic set theory and topology, sequences and series, continuity, differentiation, and Taylor’s theorem. Emphasis is placed on careful mathematical reasoning. Prerequisite: MATH 2574 and MATH 3083.
MATH 4523 Advanced Calculus II (SP) The Reimann-Stieltjes integral, uniform convergence of functions, Fourier series, implicit function theorem, Jacobians, and derivatives of higher order. Prerequisite: MATH 4513.
MATH 4932 Mathematics Major Seminar (FA, SP, SU) The two-credit course has several components designed to address students mathematical knowledge, problem-solving and communications skills. A series of weekly seminars on topics of historical or cross-disciplinary interest is accompanied by a weekly problem-solving sen ehich student presentations could play a part. The course is a forum for sharing information about career opportunities and preparation for employment.
MATH 498V Senior Thesis (1-6) (FA, SP, SU)
MATH 5013 Topics in Algebra for Teachers (IR) Topics from abstract and linear algebra of current interest to teachers. May be repeated. Prerequisite: graduate standing.
MATH 504V Special Topics for Teachers (1-6) (IR) Current topics in mathematics of interest to secondary school teachers. May be repeated. Prerequisite: graduate standing.
MATH 510V Mathematical Seminar (1-3) (SP, FA) Members of the faculty and advanced students meet for presentation and discussion of topics. Prerequisite: graduate standing
MATH 5123 Algebra I (SP) What the beginning graduate student should know about algebra: groups, rings, fields, modules, algebras, categories, homological algebra, Galois theory. Prerequisite: MATH 3113
MATH 5133 Algebra II (FA) Continuation of MATH 5123. Prerequisite: MATH 5123.
MATH 5303 Ordinary Differential Equations (FA) Existence, uniqueness, stability, quantitative behavior, and numerical solutions. Prerequisite: MATH 3404 and MATH 4513, and programming experience.
MATH 5313 Partial Differential Equations (SP) Classification, boundary value problems, applications, numerical solutions. Prerequisite: MATH 3423 and MATH 4513.
MATH 5363 Scientific Computation (FA) and Numerical Methods An introduction to numerical methods used in solving various problems in engineering and the sciences. May not earn credit for this course and MATH 4353 or MATH 4363. (Cross-listed: PHYS 5363).
MATH 5503 Theory of Functions of a Real Variable I (FA) Real number system, Lebesque measure, Lebesque integral, convergence theorems, Lp spaces, Holder and Minkowski inequalities, bounded linear functionals on the Lp spaces. Prerequisite: MATH 4523.
MATH 5513 Theory of Functions of a Real Variable II (SP) Measure and integration on abstract measure spaces, signed measures, Hahn decomposition, Radon-Nikdoym theorem, Lebesque decomposition, measures on algebras and their extensions, product measures, Fubini’s theorem. Prerequisite: MATH 5503.
MATH 5523 Theory of Functions of a Complex Variable I (FA) Complex numbers, analytic functions, powers series, complex integration, Cauchy’s theorem and integral formula, maximum principle, singularities, Laurent series, Mibius maps. Prerequisite: MATH 4513.
MATH 5533 Theory of Functions of a Complex Variable II (SP) Riemann Mapping Theorem, analytic continuation, harmonic functions, entire functions. Prerequisite: MATH 5523.
MATH 5703 Foundations of Topology (FA) Metric and general topological spaces, separation axioms, Urysohn’s lemma, Tietze extension theorem, connectedness, compactness, and Tychonoff theorem. Prerequisite: MATH 4513.
MATH 5713 Algebraic Topology (FA) Homotopy, singular and relative homology, excision theorem, the Mayer-Vietoris sequence, Beti numbers, and the Euler characteristic. Prerequisite: MATH 5703
MATH 600V Master’s Thesis (1-6) (FA, SP, SU) Prerequisite: graduate standing.
MATH 610V Directed Readings (1-6) (IR)
MATH 619V Topics in Algebra (1-6) (FA, SP, SU) Current research interests in algebra. May be repeated.
MATH 659V Topics in Analysis (1-6) (FA, SP, SU) Current research interests in analysis. May be repeated.
MATH 679V Topics in Topology (1-6) (FA, SP, SU) Current research interests in topology. May be repeated.
MATH 700V Doctoral Dissertation (1-18) (FA, SP, SU)
STATISTICS COURSES
Stat 2023 Biostatistics (SP) An introductory course in biostatistics emphasizing methods for collecting, graphing, and understanding data. Special emphasis is placed upon available methods for both exploratory and confirmatory data analysis. Particular attention is given to statistical methods for data sets with discrete variables. Pre or Co-requisite: MATH 2554. Pre– or Co-requisite: STAT 2020L
STAT 2020L Biostatistics Laboratory (SP) Computer laboratory to accompany STAT 2023. Pre– or Co-requisite: STAT 2023
STAT 2303 Principles of Statistics (SP) A problem-oriented course with applications from many fields. Emphasis on understanding the nature of statistical orderliness implied by probability laws. Statistical analysis is treated as a means of decision making in the face of uncertainty.
STAT 3013 Introduction to Probability and Statistics (FA,SP, SU) A calculus-based introduction to the foundations of probability and statistics. Emphasis is placed upon understanding elementary properties of probabilities, events, statistical densities and distributions, properties of random variables, law of large numbers, and their relationship to sampling and statistical inference. Prerequisite: MATH 2564
STAT 4003 Statistical Methods (FA,SP) Concepts of probability, sampling, regression, and experimental design. Co-requisite: STAT 4001L. Prerequisite: MATH 2554
STAT 4001L Statistics Methods Laboratory (FA,SP) Emphasis on thuse of integrated statistical packages to complement statistical methodology being covered concurrently in STAT 4003.
Co-requisite: STAT 4003
STAT 4033 Nonparametric Statistical Methods (FA,SP<SU) Chi square tests. Kolmogorov-Smirnov goodness-of-fir tests, the Mann-Whitney and Wilcoxon 2-sampling tests, and various nonparametric measures of association. Prerequisite: MATH 1203 and junior standing
STAT 4043 Sampling Techniques (FA, SP, SU) Considers optimum techniques of simple random, stratified random, cluster, systematic and multi-stage sampling from finite populations subject to constraints. Wide range of application. Prerequisite: STAT 4003
STAT 4373 Experimental Design (SP) Topics in the design and analysis of planned experiments, including randomized block, Latin square, split plot, and BIB designs, use of fractional factorial replication, and repeated measures. Prerequisite: STAT 4003
STAT 5103 Theory of Statistics (FA) Fundamentals of probability, distribution theory, and random variables; expected value, moments, and generating functions; classic parametric families of distributions; central limit theorems, inequalities, and laws of large numbers. Prerequisite: MATH 2574
STAT 5113 Statistical inference (SP) Statistical theory of estimation and testing hypothesis. Prerequisite: STAT 5103
STAT 5313 Regression Analysis I (SP) Matrix formulation of the least squares and multiple regression models. Estimability and use of the generalized inverse in analysis of variance and covariance models of less than full rank. Computational aspects are emphasized.
STAT 5333 Analysis of Categorical Responses (SP) A modern treatment, including extensions of classical probit analysis, multivariate logistic models, GSK model, log linear models in analysis of multiway contingency tables, and nonmetric multidimensional scaling. Prerequisite: STAT 5313
STAT 5343 Stochastic Processes (FA, SP, SU) Markov chains, branching processes, birth-death processes, queing theory with application. Prerequisite: STAT 5103
STAT 5353 Methods of Multivariate Analysis II (SP) Hotelling’s T2 procedures, multivariate analysis of variance, discriminant function analysis and problems of classification, multidimensional scaling, and cluster analysis. Prerequisite: STAT 5313
STAT 5383 Time Series Analysis (FA, SP, SU) Identification, estimation, and forecasting of time series. Spectral analysis including the faster Fourier transform computational aspects are emphasized. Prerequisite: STAT 5103
STAT 5413 Spatial Statistics (FA) Applied spatial statistics, covering univariate spatial modeling (kriging), multivariate spatial modeling (cokriging), methods of estimation and inference, and spatial sampling designs. Special relevance to remote sensing. Prerequisite: STAT 5313
STAT 610V Research in Statistics (1-4) (IR) Prerequisite: graduate standing
STAT 639V Topics in Statistics (1-3) (IR) Current state of the art on methodology in one of the topics: multivariate analysis, time series analysis, sequential analysis, factor analysis, or biostatistics. May be repeated.