## Course list

### MATH0003 Beginning and Intermediate Algebra (Sp, Su, Fa)

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.
### MATH1203 College Algebra (Sp, Su, Fa)

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. Credit will be allowed for only one of MATH 1203
and MATH 1284C. 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. (Same as MATH 1203C,MATH 1204)
### MATH1203C College Algebra (Sp, Su, Fa)

Same as MATH 1203 except taught with a
corequisite drill component. Credit will be allowed for only one of MATH 1203
and MATH 1284C. 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.
(Same as MATH 1203,MATH 1204)
### MATH1204 College Algebra with Review (Sp, Su, Fa)

Same as MATH 1203 with
additional support, increased class time, additional review, and computerized
lab component. Only one of MATH 1203, MATH 1204, AND MATH 1284C may be counted
for degree credit. 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. (Same as MATH 1203,MATH
1203C)
### MATH1213 Plane Trigonometry (Sp, Su, Fa)

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.
### MATH1284C Precalculus Mathematics (Sp, Su, Fa)

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.
### MATH2031M Honors Mathematical Thought Lab (Sp, Fa)

Supplemental honors
laboratory for Math 2033, Mathematical Thought. Pre- or Corequisite: MATH 2033.
Prerequisite: Honors standing or departmental consent.
### MATH2033 Mathematical Thought (Sp, Su, Fa)

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.
### MATH2043 Survey of Calculus (Sp, Su, Fa)

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. (Same as MATH 2043C)
### MATH2043C Survey of Calculus (Sp, Su, Fa)

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. (Same as MATH 2043)
### MATH2053 Finite Mathematics (Sp, Su, Fa)

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. (Same as MATH 2053C)
### MATH2053C Finite Mathematics (Sp, Fa)

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. (Same as MATH 2053)
### MATH2183 Mathematical Reasoning in a Quantitative World (Sp, Fa)

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 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.
### MATH2213 Survey of Mathematical Structures I (Sp, Su, Fa)

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.
### MATH2223 Survey of Mathematical Structures II (Sp, Su, Fa)

Geometry and
measurement, and statistics and probability. Prerequisite: A grade of C or
better in any of Math 1203, Math 1204, Math 1213, Math 1284, Math 2033, Math
2043, Math 2053, Math 2183 or Math 2554.
### MATH2554 Calculus I (Sp, Su, Fa)

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. (Same as MATH 2554C)
### MATH2554C Calculus I (Sp, Su, Fa)

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.
(Same as MATH 2554)
### MATH2564 Calculus II (Sp, Su, Fa)

Integral calculus of one variable and
infinite series. Prerequisite: MATH 2554 with a grade of C or better. (Same as
MATH 2564C)
### MATH2564C Calculus II (Sp, Su, Fa)

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. (Same as MATH 2564)
### MATH2574 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)
### MATH2574H Honors Calculus III (Sp, Su, Fa)

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.
### MATH2574C Calculus III (Sp, Su, Fa)

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. (Same as MATH 2574)
### MATH2584 Differential Equations and Laplace Transform (Sp, Su, Fa)

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. (Same as CVEG 3133,MATH 2584C)
### MATH2584C Differential Equations and Laplace Transform (Sp, Su, Fa)

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. (Same as CVEG 3133,MATH 2584)
### MATH2603 Discrete Mathematics (Sp, Su, Fa)

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. (Same as MATH 2603C)
### MATH2603C Discrete Mathematics (Sp, Su, Fa)

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. (Same as MATH 2603)
### MATH2803 Introduction to Mathematical Proof (Sp, Fa)

Introduction to methods
of mathematical proof, with applications. Pre or corequisite: MATH 2564
### MATH3083 Linear Algebra (Sp, Su, Fa)

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.
### MATH3093 Abstract Linear Algebra (Sp, Fa)

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. Pre- or Corequisite: MATH
2803. Prerequisite: MATH 2564 with a C or better.
### MATH3113 Introduction to Abstract Algebra I (Sp, Fa)

Introduction to algebraic
structures with emphasis on rigorous justification of results. Prerequisite:
MATH 2603 with a grade of C or better; and MATH 3083 or MATH 3093 with a grade
of C or better.
### MATH3423 Advanced Applied Mathematics (Sp, Su, Fa)

Matrices, Fourier analysis,
and partial differential equations. Prerequisite: MATH 2584 with a grade of C or
better.
### MATH3513 Elementary Analysis (Sp, Fa)

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.
### MATH3773 Foundations of Geometry I (Fa)

Axiomatic method; Euclidean geometry;
non-Euclidean geometry. Prerequisite: MATH 2554, and MATH 2603 or MATH 2803,
each with a grade of C or better.
### MATH399VH Honors Mathematics Course (Sp, Su, Fa) (1-6)

Prerequisite:
Departmental consent. May be repeated for up to 12 hours of degree credit.
### MATH400V Directed Readings (Sp, Su, Fa) (1-6)

Prerequisite: Departmental
consent.
### MATH404V Classroom Practices in Mathematics (Sp, Fa) (1-3)

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.
### MATH4113 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.
### MATH4253 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. Prerequisite: MATH 2603 or PHIL 2203. (Same as PHIL 4253)
### MATH4363 Numerical Analysis (Fa)

General iterative techniques, error analysis,
root finding, interpolation, approximation, numerical integration, and numerical
solution of differential equations. Prerequisite: MATH 2584.
### MATH4443 Complex Variable for Application (Fa)

Complex analysis, series, and
conformal mapping. Additional applications for graduate credit. Prerequisite:
MATH 2603 or MATH 2803, and MATH 2584.
### MATH4513 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 or MATH 3093.
### MATH498V Senior Thesis (Sp, Su, Fa) (1-6)

### MATH5023 Geometry with Connections to School Mathematics (Odd years, Fa)

School geometry from an advanced perspective including conformity to the Common
Core State Standards for Mathematics. Study will include historical developments
and geometry based on transformations of two- and three-dimensional space.
Prerequisite: Graduate standing.
### MATH510V Mathematical Seminar (Sp, Fa) (1-3)

Members of the faculty and
advanced students meet for presentation and discussion of topics. Prerequisite:
Graduate standing in mathematics or statistics, or departmental consent.
### MATH5123 Algebra I (Fa)

What the beginning graduate student should know about
algebra: groups, rings, fields, modules, algebras, categories, homological
algebra, and Galois Theory. Prerequisite: MATH 3113, and graduate standing in
mathematics or statistics, or departmental consent.
### MATH5303 Ordinary Differential Equations (Fa)

Existence, uniqueness,
stability, qualitative behavior, and numerical solutions. Prerequisite: MATH
2584 and MATH 4513, and graduate standing in mathematics or statistics, or
departmental consent.
### MATH5363 Scientific Computation and Numerical Methods (Fa)

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.
Prerequisite: Graduate standing in mathematics or statistics, or departmental
consent. (Same as PHYS 5363)
### MATH5503 Theory of Functions of a Real Variable I (Fa)

Real number system,
Lebesque measure, Lebesque integral, convergence theorems, differentiation of
monotone functions, absolute continuity and the fundamental theorem of calculus
L^P spaces, Holder and Minkowski inequalities, and bounded linear functionals on
the L^P spaces. Prerequisite: MATH 4523, and graduate standing in mathematics or
statistics, or departmental consent.
### MATH5523 Theory of Functions of a Complex Variable I (Fa)

Complex numbers,
analytic functions, power series, complex integration, Cauchy's Theorem and
integral formula, maximum principle, singularities, Laurent series, and Mobius
maps. Prerequisite: MATH 4513.
### MATH5703 Foundations of Topology (Fa)

Metric and general topological spaces,
separation axioms, Urysohn's lemma, Tietze extension theorem, connectedness,
compactness, and the Tychonoff theorem. Prerequisite: MATH 4513, and graduate
standing in mathematics or statistics, or departmental consent.
### MATH5713 Algebraic Topology (Fa)

Homotopy, singular and relative homology,
excision theorem, the Mayer-Vietoris sequence, Betti numbers, and the Euler
characteristic. Prerequisite: MATH 5703, and graduate standing in mathematics or
statistics, or departmental consent.
### MATH619V Topics in Algebra (Sp, Su, Fa) (1-6)

Current research interests in
algebra. May be repeated for credit. Prerequisite: Graduate standing in
mathematics or statistics, or departmental consent.
### MATH659V Topics in Analysis (Sp, Su, Fa) (1-6)

Current research interests in
analysis. May be repeated for credit. Prerequisite: Graduate standing in
mathematics or statistics, or departmental consent.
### MATH679V Topics in Topology (Sp, Su, Fa) (1-6)

Current research interest in
topology. May be repeated for credit. Prerequisite: Graduate standing in
mathematics or statistics, or departmental consent.
### MATH700V Doctoral Dissertation (Sp, Su, Fa) (1-18)

Prerequisite: Doctoral
candidacy in mathematics.