## Math Courses

**MATH 0003. Beginning and Intermediate Algebra (Sp, Su, Fa). 3 Hours.**

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. Corequisite: Lab component.

**MATH 1203. College Algebra (ACTS Equivalency = MATH 1103) (Sp, Su, Fa). 3 Hours.**

Topics include the solution and application of linear and quadratic equations and inequalities; functions, graphs, and theory of equations; matrix solutions of systems of equations and basic properties of matrices. Prerequisite: MATH 0003 with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Algebra Exam, or a score of at least 23 on the math component of the ACT exam, or a score of at least 540 on the math component of the SAT.

**MATH 1203C. College Algebra (Sp, Su, Fa). 3 Hours.**

Same as MATH 1203 except taught with a corequisite drill component. Corequisite: Drill component. Prerequisite: MATH 0003 with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Algebra Exam, or a score of at least 23 on the math component of the ACT exam, or a score of at least 540 on the math component of the SAT.

This course is equivalent to MATH 1203.

**MATH 1204. College Algebra with Review (Sp, Su, Fa). 4 Hours.**

Same as MATH 1203 with additional support, increased class time, additional review, and computerized lab component. Prerequisite: MATH 0003 with a grade of C or better, or a score of at least 70% on the University of Arkansas Preparedness for Algebra Exam, or a score of at least 19 on the math component of the ACT exam, or a score of at least 460 on the math component of the SAT.

This course is equivalent to MATH 1203.

**MATH 1213. Plane Trigonometry (ACTS Equivalency = MATH 1203) (Sp, Su, Fa). 3 Hours.**

Basic topics in trigonometry including identities, formulas, and polar coordinate system. Credit will be allowed for only one of either MATH 1213 or MATH 1284C. Corequisite: Lab component. Prerequisite: MATH 1203 or MATH 1204 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 1284C. Precalculus Mathematics (ACTS Equivalency = MATH 1305) (Sp, Su, Fa). 4 Hours.**

Topics in algebra and trigonometry. To be taken by students who expect to take MATH 2554. Prerequisite: MATH 1203 or MATH 1204 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 1313. Quantitative Reasoning (Sp, Su, Fa). 3 Hours.**

Reasoning about quantitative information, and the use of mathematical tools and models as citizens, consumers, entrepreneurs and employees in today's complex technological society. Topics include modeling with functions; quantity, measurement and indices; finance; counting, probability, odds and risk.Prerequisite: MATH 0003 with a grade of C or better, or a score of at least 70% on the University of Arkansas Preparedness for Algebra Exam, or a score of at least 19 on the math component of the ACT exam, or a score of at least 460 on the math component of the SAT.

**MATH 2031M. Honors Mathematical Thought Lab (Sp, Fa). 1 Hour.**

Supplemental honors laboratory for MATH 2033, Mathematical Thought. Pre- or Corequisite: MATH 2033. Prerequisite: Honors standing or departmental consent.

**MATH 2033. Mathematical Thought (Sp, Su, Fa). 3 Hours.**

This course introduces students to a variety of topics in modern mathematics. Topics vary and can include graph theory, game theory, voting systems, foundations of logic, cardinality, discrete geometry combinatorics, geometry of surfaces, topology and symmetry. Prerequisite: MATH 1203 or MATH 1204 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 2043. Survey of Calculus (ACTS Equivalency = MATH 2203) (Sp, Su, Fa). 3 Hours.**

Selected topics in elementary calculus and analytic 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 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2053 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 2043C. Survey of Calculus (Sp, Su, Fa). 3 Hours.**

Selected topics in elementary calculus and analytic geometry for students in business, agriculture, and social sciences. Credit will be allowed for only one of MATH 2043 and MATH 2554. Corequisite: Drill component. Prerequisite: MATH 1203 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2053 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

This course is equivalent to MATH 2043.

**MATH 2053. Finite Mathematics (Sp, Su, Fa). 3 Hours.**

Selected topics in probability and statistics, review of algebraic matrices, and graphic analysis of linear programming for students in business, agriculture, and social sciences. Prerequisite: MATH 1203 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2043 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 2053C. Finite Mathematics (Sp, Fa). 3 Hours.**

Selected topics in probability and statistics, review of algebraic matrices, and graphic analysis of linear programming for students in business, agriculture, and social sciences. Taught with a two-day-per-week lecture and one-day-per-week drill. Corequisite: Drill component. Prerequisite: MATH 1203 or MATH 1204 or MATH 1213 or MATH 1284C or MATH 2043 with a grade of C or better, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

This course is equivalent to MATH 2053.

**MATH 2183. Mathematical Reasoning in a Quantitative World (ACTS Equivalency = MATH 1003) (Sp, Fa). 3 Hours.**

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 in their public, personal and professional lives. Prerequisite: MATH 1203 or MATH 1204, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 2213. Survey of Mathematical Structures I (Sp, Su, Fa). 3 Hours.**

Sets and logic, systems of numerations, number systems and operations, and elementary number theory. Prerequisite: A grade of C or better in any of MATH 1203, MATH 1204, MATH 1213, MATH 1284C, MATH 2033, MATH 2043, MATH 2053, MATH 2183 or MATH 2554, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 2223. Survey of Mathematical Structures II (Sp, Su, Fa). 3 Hours.**

Geometry and measurement, and statistics and probability. Prerequisite: A grade of C or better in any of MATH 1203, MATH 1204, MATH 1213, MATH 1284C, MATH 2033, MATH 2043, MATH 2053, MATH 2183 or MATH 2554, or a score of at least 80% on the University of Arkansas Mastery of Algebra Exam, or a score of at least 26 on the math component of the ACT exam, or a score of at least 600 on the math component of the SAT.

**MATH 2554. Calculus I (ACTS Equivalency = MATH 2405) (Sp, Su, Fa). 4 Hours.**

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 and MATH 2043. Prerequisite: MATH 1213 with a grade of C or better, or MATH 1284C with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Calculus Exam, or a score of at least 30 on the math component of the ACT exam, or a score of at least 680 on the math component of the SAT, or a score of at least 3 on the Calculus AB Advanced Placement Exam.

**MATH 2554C. Calculus I (Sp, Su, Fa). 4 Hours.**

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 and MATH 2043. Corequisite: Drill component. Prerequisite: MATH 1213 with a grade of C or better, or MATH 1284C with a grade of C or better, or a score of at least 80% on the University of Arkansas Preparedness for Calculus Exam, or a score of at least 30 on the math component of the ACT exam, or a score of at least 680 on the math component of the SAT, or a score of at least 3 on the Calculus AB Advanced Placement Exam.

This course is equivalent to MATH 2554.

**MATH 2554H. Honors Calculus I (Sp, Su). 4 Hours.**

Topics in analytic geometry and calculus presented in a rigorous manner suitable for an honors student. Students may not receive credit for both MATH 2043 and MATH 2554. Prerequisite: Honors standing or departmental consent; and a score of at least 30 on the math component of the ACT exam, or a score of at least 680 on the math component of the SAT exam.

This course is equivalent to MATH 2554.

**MATH 2564. Calculus II (ACTS Equivalency = MATH 2505) (Sp, Su, Fa). 4 Hours.**

Integral calculus of one variable and infinite series. Prerequisite: MATH 2554 with a grade of C or better.

**MATH 2564C. Calculus II (Sp, Su, Fa). 4 Hours.**

Integral calculus of one variable and infinite series. Three hours of lecture and two hours of drill (recitation) per week. Corequisite: Drill component. Prerequisite: MATH 2554 with a grade of C or better.

This course is equivalent to MATH 2564.

**MATH 2564H. Honors Calculus II (Sp). 4 Hours.**

Integral calculus of one variable and infinite series. Prerequisite: MATH 2554 with a grade of A, or MATH 2554H with a grade of A or B, or a score of 5 on the AP AB Calculus Exam.

This course is equivalent to MATH 2564.

**MATH 2574. Calculus III (ACTS Equivalency = MATH 2603) (Sp, Su, Fa). 4 Hours.**

Differential and integral calculus of several variables, and vector calculus. Prerequisite: MATH 2564 with a grade of C or better.

**MATH 2574C. Calculus III (Sp, Su, Fa). 4 Hours.**

Differential and integral calculus of several variables, and vector calculus. Three hours of lecture and two hours of drill (recitation) per week. Corequisite: Drill component. Prerequisite: MATH 2564 with a grade of C or better.

This course is equivalent to MATH 2574.

**MATH 2574H. Honors Calculus III (Sp, Su, Fa). 4 Hours.**

Differential and integral calculus of several variables, and vector calculus. Prerequisite: MATH 2564 with a grade of A, or MATH 2564H with a grade of A or B, or a score of 5 on the AP BC Calculus exam.

This course is equivalent to MATH 2574.

**MATH 2584. Differential Equations and Laplace Transform (Sp, Su, Fa). 4 Hours.**

First and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations. Prerequisite: MATH 2564 with a grade of C or better.

**MATH 2584C. Differential Equations and Laplace Transform (Sp, Su, Fa). 4 Hours.**

First and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations. Three hours of lecture and two hours of drill (recitation) per week. Corequisite: Drill component. Prerequisite: MATH 2564 with a grade C or better.

This course is equivalent to MATH 2584.

**MATH 2603. Discrete Mathematics (Sp, Su, Fa). 3 Hours.**

Introductory study of sets, relations, logic, proofs, algorithms, counting methods, graph theory, trees, and Boolean algebras. Prerequisite: MATH 2554 with a grade of C or better or the equivalent.

This course is equivalent to MATH 2103.

**MATH 2603C. Discrete Mathematics (Sp, Su, Fa). 3 Hours.**

Introductory study of sets, relations, logic, proofs, algorithms, counting methods, graph theory, trees, and Boolean algebras. Corequisite: Drill component. Prerequisite: MATH 2554 with a grade of C or better or the equivalent.

This course is equivalent to MATH 2103.

**MATH 2701. Survey of Higher Math (Sp). 1 Hour.**

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. Pre- or Corequisite: MATH 2564.

**MATH 2803. Introduction to Mathematical Proof (Sp, Fa). 3 Hours.**

Introduction to methods of mathematical proof, with applications. Pre or corequisite: MATH 2564.

**MATH 2903. Functions, Foundations and Models (Sp, Fa). 3 Hours.**

As in-depth study of topics from secondary school mathematics, emphasizing the development of the concept function, function patterns in data sets, connections among the main topics associated with a secondary school curriculum, and the appropriate use of technology. Pre-or Corequisite: MATH 2564.

**MATH 3083. Linear Algebra (Sp, Su, Fa). 3 Hours.**

Systems of linear equations, vector spaces, linear transformations, matrices, and determinants. Only one of MATH 3083 and MATH 3093 will count for credit. Prerequisite: MATH 2554 or MATH 2043, with a grade of C or better.

**MATH 3093. Abstract Linear Algebra (Sp, Fa). 3 Hours.**

A proof-based course on vector spaces, linear transformations, matrices, determinants, eigenspaces and eigenvalues, with applications. Recommended for mathematics majors. Only one of MATH 3083 and MATH 3093 may be counted for credit. Prerequisite: MATH 2564 and MATH 2803 with a C or better.

**MATH 3103. Combinatorial and Discrete Mathematics (Sp). 3 Hours.**

Basic combinatorial techniques including the study of networks, generating functions, principles of inclusion/ exclusion, Zn, Hamming coding theory, graph theory, and block designs. Prerequisite: MATH 2603.

**MATH 3113. Introduction to Abstract Algebra I (Sp, Fa). 3 Hours.**

Introduction to algebraic structures with emphasis on rigorous justification of results. Prerequisite: MATH 2803 with a grade of C or better; and MATH 3083 or MATH 3093 with a grade of C or better.

**MATH 3133. History of Mathematics (Irregular). 3 Hours.**

Prerequisite: MATH 2554, and MATH 2603 or MATH 2803, both with a grade of C or better.

**MATH 3203. Number Theory (Irregular). 3 Hours.**

Topics in elementary number theory. Prerequisite: MATH 2554, and MATH 2603 or MATH 2803, both with a grade of C or better.

**MATH 3423. Advanced Applied Mathematics (Sp, Su, Fa). 3 Hours.**

Matrices, Fourier analysis, and partial differential equations. Prerequisite: MATH 2584 with a grade of C or better.

**MATH 3513. Elementary Analysis (Sp, Fa). 3 Hours.**

A first rigorous course in analysis. The formal basis of the real number system, sequences and series, the Bolzano-Weierstrass Theorem, limits and continuity, the Intermediate Value Theorem, Rolle's Theorem, differentiation, the Mean Value Theorem and its consequences, Taylor's Theorem, L'Hopital's rules, convexity, Riemann integration, the Fundamental Theorem of Calculus. Prerequisite: A grade of C or better in each of MATH 2554, MATH 2564, MATH 2574, MATH 3083 or MATH 3093, and MATH 2803.

**MATH 3773. Foundations of Geometry I (Fa). 3 Hours.**

Axiomatic method; Euclidean geometry; non-Euclidean geometry. Prerequisite: MATH 2554, and MATH 2603 or MATH 2803, each with a grade of C or better.

**MATH 3923H. Honors Colloquium (Irregular). 3 Hours.**

Covers a special topic or issue, offered as part of the honors program. Prerequisite: Honors candidacy (not restricted to candidacy in mathematics). May be repeated for degree credit.

**MATH 399VH. Honors Mathematics Course (Sp, Su, Fa). 1-6 Hour.**

Prerequisite: Departmental consent. May be repeated for up to 12 hours of degree credit.

**MATH 400V. Directed Readings (Sp, Su, Fa). 1-6 Hour.**

Prerequisite: Departmental consent.

**MATH 404V. Classroom Practices in Mathematics (Sp, Fa). 1-3 Hour.**

The pedagogy of curricular materials in mathematics acquired through participation in the classroom as an apprentice teacher. Non-major elective credit only. Prerequisite: MATH 2574 and departmental approval.

**MATH 4103. Finite Dimensional Vector Spaces (Irregular). 3 Hours.**

Linear functionals, matrix representation of linear transformations, scalar product, and spectral representation of linear transformations. Prerequisite: MATH 3083.

**MATH 4113. Introduction to Abstract Algebra II (Fa). 3 Hours.**

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 (Irregular). 3 Hours.**

Mathematical techniques for formulating, analyzing, and criticizing deterministic models taken from the biological, social, and physical sciences. Techniques include graphical methods, stability, optimization, and phase plane analysis. Prerequisite: MATH 2584.

**MATH 4163. Dynamic Models in Biology (Irregular). 3 Hours.**

Mathematical and computational techniques for developing, executing, and analyzing dynamic models arising in 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 2554.

This course is cross-listed with BIOL 4163.

**MATH 4253. Symbolic Logic I (Fa). 3 Hours.**

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. Prerequisite: MATH 2603, MATH 2803, or PHIL 2203.

This course is cross-listed with PHIL 3223, PHIL 4253.

**MATH 4353. Numerical Linear Algebra (Sp). 3 Hours.**

Numerical methods for problems of linear algebra, including the solution of very large systems, eigenvalues, and eigenvectors. Prerequisite: MATH 3083 or MATH 3093.

**MATH 4363. Numerical Analysis (Fa). 3 Hours.**

General iterative techniques, error analysis, root finding, interpolation, approximation, numerical integration, and numerical solution of differential equations. Prerequisite: MATH 2584.

**MATH 4443. Complex Variable for Application (Fa). 3 Hours.**

Complex analysis, series, and conformal mapping. Additional applications for graduate credit. Prerequisite: MATH 2603 or MATH 2803, and MATH 2584.

**MATH 4503. Differential Geometry and Vector Calculus (Irregular). 3 Hours.**

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 2574.

**MATH 4513. Advanced Calculus I (Sp, Fa). 3 Hours.**

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 or MATH 3093.

**MATH 4523. Advanced Calculus II (Sp). 3 Hours.**

The Riemann-Stieltjes integral, uniform convergence of functions, Fourier series, implicit function theorem, Jacobians, and derivatives of higher order. Prerequisite: MATH 4513.

**MATH 4933. Mathematics Major Seminar (Sp). 3 Hours.**

Weekly seminars on topics of historical or cross-disciplinary interest, designed to address students' mathematical knowledge, problem-solving and communication skills, in which student presentations play a part. Also serves as a forum for sharing information about career opportunities and preparation for employment. Prerequisite: Senior standing and a mathematics major, or departmental consent.

**MATH 498V. Senior Thesis (Sp, Su, Fa). 1-6 Hour.**

**MATH 499V. Research Topics in Mathematics (Irregular). 1-3 Hour.**

Current research interests in mathematics, at an advanced undergraduate or beginning graduate level. Prerequisite: Departmental consent. May be repeated for up to 12 hours of degree credit.

**MATH 499VH. Honors Research Topics in Mathematics (Irregular). 1-3 Hour.**

Current research interests in mathematics, at an advanced undergraduate or beginning graduate level. Prerequisite: Departmental consent. May be repeated for up to 12 hours of degree credit.