MATH 0321 PreCore Mathematics
This is a course that is designed to prepare students with the necessary skills to be successful in college level mathematics. Topics include operations with real numbers (including exponents and radicals) and algebraic expressions, ratios, proportions, linear inequalities, linear and quadratic equations in one variable, linear equations in two variables, systems of linear equations, and logarithms. Two classroom hours plus required lab hours. Three credit hours.
MATH 1223 Introduction to Mathematics Software
Prerequisites: grades of C or greater in MATH 1302 and 1303, equivalent transfer courses. Symbolic and numerical manipulations in a Computer Algebra System (CAS); graphing; simple programming; spreadsheet fundamentals and mathematical typesetting. Four hours lab. Two credit hours.
MATH 1302 College Algebra
Prerequisite: A grade of C or greater in Math 0301 – Intermediate Algebra, a grade of AA, BA or CA in Math 0321 PreCore Mathematics, an equivalent transfer course, or an ACT Mathematics score of 21, or ACT Elementary Algebra score of 11, or SAT Mathematics score greater than or equal to 500. Study of functions, including but not limited to, absolute value, quadratic, polynomial, rational, logarithmic, and exponential; systems of equations; and matrices. Three hours lecture. Three credit hours.
MATH 1303 Trigonometry
Prerequisite: a grade of C or greater in MATH 1302, an equivalent transfer course, or a suitable score on a mathematics placement test Co-requisite with consent of instructor: MATH 1302. Circular functions and their graphs, identities, angles and their measure, functions of angles, right triangles, Law of Sines, Law of Cosines, inverses of circular functions, solutions of trigonometric equations, complex numbers, and DeMoivre’s Theorem. Three hours lecture. Three credit hours.
MATH 1311 Applied Calculus I
Prerequisite: a grade of C or greater in MATH 1302, an equivalent transfer course, , or and ACT Mathematics score of 24. Not intended for mathematical science majors or minors. Introduction to differential and integral calculus of algebraic functions and their technical applications in the areas of optimization, mean values, and area. Three hours lecture. Three credit hours.
MATH 1312 Applied Calculus II
Prerequisites: grades of C or greater in MATH 1303 and either 1311 or 1451, or equivalent transfer courses, Differential and integral calculus of algebraic functions, transcendental functions, and vector-defined functions; integration techniques, parametric equations, and differential equations. Three hours lecture. Three credit hours.
Note: FALL 2012 is the last semester MATH 1315 College Mathematics will be offered. Beginning SPRING 2013, all non-STEM majors will have the option to take MATH 1321 Quantitative and Mathematical Reasoning, instead of MATH 1315.
MATH 1315 College Mathematics
Prerequisite: A grade of C or greater in Math 0301 – Intermediate Algebra, equivalent transfer course, or an ACT Mathematics score of 21, or ACT Elementary Algebra score of 11, or SAT Mathematics score greater than or equal to 500. Set Theory; logic; probability and statistics, combinatorics, populations, samples, normal distribution, mean, variance and standard deviation; consumer mathematics and financial management, voting and apportionment, graph theory. Note: This course satisfies the state mandated requirement for the baccalaureate degree. Three hours lecture. Three credit hours.
MATH 1321 Quantitative and Mathematical Reasoning
Prerequisite: A grade of C or greater in Intermediate Algebra or an equivalent transfer course, or a grade of AQ, BQ, CQ, in any of UALR’s Pre-Core Mathematics courses (MATH0321, MATH0322, MATH0323, MATH0324), or a MATH ACT score of 21 or greater, or an ACT Elementary Algebra score of 11, or an SAT Mathematics score of 500 or greater. The overarching goal of Quantitative and Mathematical Reasoning is to provide students with mathematical understandings and skills to be productive workers, discerning consumers, and informed citizens. Students will solve problems using mathematical reasoning involving logic, proportions, algebra, and relations. In keeping with the tenets of student performance in a general education course, this course is designed to deliver instruction that focuses on process, conceptual understanding, communication and problem solving found in the following strands: (a) Personal, state and national finance (b) Statistics and probability (c) Mathematical modeling (d) Quantities and measurement. Students seeking a degree in a Non-STEM major are advised to take this course. Note: This course satisfies the state mandated requirement for the baccalaureate degree. Three hours lecture. Three credit hours.
MATH 1342 Business Calculus
Prerequisite: a grade of C or greater in MATH 1302, an equivalent transfer course, or a suitable score on a mathematics placement test. Differential and integral calculus with applications to economics and management sciences. Three hours lecture. Three credit hours.
MATH 1451 Calculus I
Prerequisites: grades of C or greater in MATH 1302 and 1303, equivalent transfer courses, or a suitable score on a mathematics placement test. Limits and limit theorems, continuity, derivatives and the chain rule, implicit differentiation, applications, the definite integral, the Fundamental Theorems of Calculus, and applications of integration. Three hours lecture. Two hours lab. Four credit hours.
MATH 1452 Calculus II
Prerequisite: a grade of C or greater in MATH 1451 or an equivalent transfer course. Integration, the definite and indefinite integrals, L’Hopital’s rule, improper integrals, Taylor polynomials, infinite series, power series, polar coordinates, and conic sections. Three lecture hours and two lab hours. Four credit hours.
MATH 2310 Discrete Mathematics
Prerequisite: a grade of C or greater in MATH 1302. Emphasizes applications of mathematics in computer science and other areas of modern technology. The topics include mathematical reasoning, set theory, proofs by induction, number systems, relations, directed graphs, trees, and related topics of study. Three hours lecture. Three credit hours.
MATH 2350 Introduction to Mathematical Proof
Prerequisite: a grade of C or greater in MATH 1451. An introduction to formal mathematical proof writing in the context of axiomatics systems. Symbolic logic, elementary set theory, methods of proof, mathematical induction, functions and relations, and additional topics to provide context for proof writing experience. Three credit hours.
MATH 2453 Calculus III
Prerequisite: a grade of C or greater in MATH 1452 or equivalent transfer course. Three-dimensional analytic geometry, vectors, lines, planes, partial derivatives, multiple integrals, line integrals, and gradient fields. Three lecture hours and two lab hours. Four credit hours.
MATH 3310 Algebraic Structures I
Prerequisite: MATH 2350. An introduction to modern algebraic structures. The topics include equivalence relations, groups, isomorphisms, direct products, rings, fields, and integral domains. Three hours lecture. Three credit hours.
MATH 3311 Number Theory
Prerequisite: a grade of C or greater in MATH 1302. Basic representation, the fundamental theorem of arithmetic, combinatorial and computational number theory, fundamentals of congruences, solving congruences, arithmetic functions, primitive roots, prime numbers, quadratic congruences, additivity. Three hours lecture. Three credit hours.
MATH 3312 Linear Algebra
Prerequisites: grades of C or greater in MATH 1312 or 1452. Vector spaces, bases, polynomials, Cayley-Hamilton Theorem, invariant subspaces, linear transformations, eigenvalues and eigenvectors, selected applications, Jordan canonical form. Three hours lecture. Three credit hours.
MATH 3322 Introduction to Differential Equations
Prerequisite: a grade of C or greater in MATH 1452 (may be corequisite with consent of instructor). Methods of forming and solving some important types of ordinary differential equations and their application to selected physical and biological models. Three hours lecture. Three credit hours.
MATH 3324 Mathematical Models
Prerequisites: grades of C or greater in MATH 2453, 3312, STAT 3350. A study of selected topics from the physical and biological sciences demonstrating the interaction between model building and mathematical systems. Three hours lecture. Three credit hours.
MATH 3325 Mathematics of Optimization
Prerequisites: grades of C or greater in MATH 2453, 3312, STAT 3350. Linear programming. Simplex and revised simplex algorithms. Transportation problems, networks and flows, games and decisions. Three hours lecture. Three credit hours.
MATH 3330 College Geometry I
Prerequisite: a grade of C or greater in MATH 1451. A survey of secondary school geometry, the axiomatic method; Euclidean geometry; an introduction to nonEuclidean geometry. Three hours lecture. Three credit hours.
MATH 4100, 4200, 4300 Independent Study
Prerequisites: consent of department chairperson and supervising faculty member. Studies of assigned topics chosen to develop investigative, analytical, research, or professional skills related to mathematics, culminating in a written paper. Three hours lecture. One, two, or three credit hours.
MATH 4302 Complex Analysis
Prerequisite: a grade of C or greater in MATH 4303 or consent of instructor. Algebra of complex numbers, analytic functions, integration, power series, Laurent series, and elementary conformal mappings. Dual-listed in the UALR Graduate Catalog as MATH 5302. Three hours lecture. Three credit hours.
MATH 4303 Advanced Calculus I
Prerequisite: a grade of “C” or greater in MATH 2453 and 2350. Derivatives, mean value theorem, L’Hospital’s rule, integration, sequences, and a series of functions. Dual-listed in the UALR Graduate Catalog as MATH 5303. Three hours lecture. Three credit hours.
MATH 4304 Advanced Calculus II
Prerequisite: a grade of C or greater in MATH 4303. Functions of several variables, implicit function theorem, geometry of curves and surfaces, differential forms, Stoke’s theorem and Green’s theorem. Dual-listed in the UALR Graduate Catalog as MATH 5304. Three hours lecture. Three credit hours.
MATH 4305 Financial Mathematics
Prerequisite: MATH 1451 or equivalent. This course will cover some key procedures of the financial mathematics: determining equivalent measures of interest; discounting; accumulating; determining yield rates; estimating the rate of return on a fund; amortization. Three hours lecture. Three credit hours.
MATH 4306 Topology
Prerequisitie: a grade of C or greater in MATH 2350 and MATH 2453. Topological spaces, connectedness, compactness, separation axioms, metric spaces, sequences, completeness, Urysohn’s metrization theorm. Additional topics selected from the Tychonoff theorem, compactifications, homotopy, the fundamental group, retractions and fixed points, the fundamental group of surfaces. Dual-listed in the UALR Graduate Catalog as MATH 5306. Three credit hours
MATH 4308 Integral Transform Theory
Prerequisite: a grade of C or greater in MATH 3322. Review of linear differential equations. The Laplace transform, functions of a complex variable, integration by the method of residues, the Laplace transform inversion integral. The Z-transform, the Z-transform inversion integral, difference equations, Fourier series, and the Fourier transform. Dual-listed in the UALR Graduate Catalog as MATH 5308. Three credit hours.
MATH 4310 Algebraic Structures II
Prerequisite: a grade of C or greater in MATH 3310. Continues the topics of Algebraic Structures I into more advanced topics of modern algebra including factor groups, polynomial rings, quotient rings, and extension fields. Three credit hours.
MATH 4323 Numerical Analysis
Prerequisites: grades of C or greater in MATH 2453, 3312, or equivalent courses; knowledge of a scientific programming language. Error analysis, fixed points and roots, interpolation, approximations, numerical differentiation and integration, linear systems, differential equations. Dual-listed in the UALR Graduate Catalog as MATH 5323. Three hours lecture. Three credit hours.
MATH 4361 History of Mathematics I
Prerequisite: grade of C or greater in MATH 1452. This course will provide an overview of aspects of the history of mathematics from the Early Beginnings (before the sixth century B.C.), Classical Period (sixth century B.C. to fifth century), and Medieval and Renaissance Periods (sixth century to sixteenth century). This survey course discusses a broad range of the history of mathematics including a variety of topics over many consecutive time periods, and is organized so that there is more discussion than lecture. The course will consider both the growth of mathematical ideas and the context in which these ideas developed, in various civilizations around the world. Attention will be paid to how the history of mathematics or mathematical ideas is important in the teaching of these ideas in both secondary school and college. Three credit hours.
MATH 4362 History of Mathematics II
Prerequisite: grade of C or greater in MATH 1452. This course will provide an overview of aspects of the history of mathematics from the Early Modern Period (seventeenth and eighteenth centuries) and the Modern Period (nineteenth and twentieth centuries). This survey course discusses a broad range of the history of mathematics including a variety of topics over many consecutive time periods, and is organized so that there is more discussion than lecture. The course will consider both the growth of mathematical ideas and the context in which these ideas developed in various civilizations around the world. Attention will be paid to how the history of mathematics or mathematical ideas is important to the teaching of these ideas in both secondary school and college. Three credit hours.
MATH 4390 Senior Seminar
Prerequisites: senior standing and major status in the Department of Mathematics and Statistics. Students in the course prepare and present senior projects and portfolios, prepare and take Major Fields Assessment Test in mathematics, pick, solve, and submit the solution of a problem from the problem sections of professional journals. This course is offered in the fall semester only and is to be taken by mathematics majors planning to graduate in the fall or the following spring. Three credit hours.
MATH 4199-4399 Selected Topics
Prerequisite: consent of instructor. The content of this course changes on demand. For descriptive title of the content refer to the semester schedule. Dual-listed in the UALR Graduate Catalog at the 5000-level. One hour lecture for each hour credit. One, two, or three credit hours.
Courses in Mathematics Education (MATH)
The following courses are designed for the prospective early childhood, middle childhood, or secondary education teacher and cannot be used as part of the undergraduate major or minor in mathematics. For the courses appropriate to teacher licensure, contact the Department of Teacher Education.
MATH 3380 Mathematics I for Early Childhood
Prerequisites: admission to the early childhood/middle childhood education program (social studies/language arts specialty) and a grade of C or greater in MATH 1302 or 1315 or 1321. Problem solving, sets, system of whole numbers, system of integers, system of rational numbers, number theory, graphing, proportional reasoning, technology, and historical developments in mathematics. Includes mathematics content, teaching techniques, mathematics manipulatives, and technology. Emphasis on problem solving, reasoning, communication, and connections. Two hours lecture and two hours laboratory. Three credit hours.
MATH 3382 Mathematics II for Early Childhood
Prerequisites: admission to the early childhood education program and successful completion (C or greater) of MATH 3380. Second mathematics education course for early childhood education majors (no emphasis in mathematics). Problem-solving, estimation, number sense, development of computational algorithms, mental computation techniques, measurement of two- and three-dimensional objects, geometry, probability, data collection and analysis, technology, proportional reasoning, and historical developments in mathematics. Emphasis on problem solving, reasoning, communication, and connections. Two hours lecture and two hours laboratory. Three credit hours.
MATH 3383 Mathematics for Middle School
Prerequisites: admission to the middle childhood education program (mathematics/science specialty) and a grade of C or greater in MATH 1302. First mathematics course specifically for middle childhood education (mathematics/science specialty) majors. Problem solving; sets; number systems including whole numbers, integers, rational numbers, and real numbers; number theory; algebra; graphing; matrices; proportional reasoning; technology; and historical developments in mathematics. The course includes mathematics content, teaching techniques, mathematics manipulatives, and technology. Emphasis on problem solving, reasoning, communication, and connections. Two hours lecture and two hours laboratory. Three credit hours.
MATH 3384 Concepts in Geometry
Prerequisites: admission to the middle childhood education program and a grade of C or greater in MATH 3383 or MATH 3380. Problem solving, logic and sets, proofs, geometry as an axiomatic system, geometric figures in two and three dimensions, systems of measurement, congruence and similarity, geometry using coordinates, geometry using transformations, proportional reasoning, modeling real-world situations using geometry, networks, technology, and historical developments in geometry. Includes mathematics content, teaching techniques, mathematics manipulatives, and technology. Emphasis on problem solving, reasoning, communication, and connections. Two hours lecture and two hours laboratory. Three credit hours.
MATH 4380 Concepts in Probability and Statistics
Prerequisites: admission to the middle childhood education program and a grade of C or greater in MATH 3380 or MATH 3383. Problem solving, organizing data, averages and variation, regression and correlation, probability theory, normal distributions, sampling distributions, estimation, hypothesis testing involving one population, inferences about differences, proportional reasoning, technology, and historical developments in probability and statistics. Includes mathematics content, teaching techniques, mathematics manipulatives, and technology. Emphasis throughout the course is on problem solving, reasoning, communication, and connections. Two hours lecture and two hours laboratory. Three credit hours.
MATH 4381 Teaching Mathematics in Secondary School
Prerequisite: admission to the secondary education minor program or consent of the instructor. An overview of methods and materials used to teach secondary mathematics, techniques considered most effective, and appropriate assessment strategies. A link between mathematics content/skills and practical applications for classroom instruction. Includes mathematics content, teaching techniques, mathematics manipulatives, and technology. Emphasis throughout on problem solving, reasoning, communication, and connections. Required for secondary mathematics teacher licensure. Two hours lecture and two hours laboratory. Three credit hours. Spring semester offering
MATH 4383 Technology in Math Education
Prerequisite: admission to the secondary education minor program, MATH 2453 and at least 12 upper-level hours in mathematics, or consent of instructor. Applications of technology in the secondary mathematics classroom. An overview of mathematics software appropriate for the secondary mathematics classroom. Emphasis throughout on problem solving, reasoning, communication, and connections. Required for secondary mathematics teacher licensure. Two hours lecture and two hours laboratory. Three credit hours. Fall semester offering.