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Mathematics & Statistics

The frequency of course offering is indicated following each course description. If not otherwise indicated, the course will be scheduled for each enrollment period. The university reserves the right to change course scheduling when circumstances dictate such changes.


Undergraduate


Methods and Materials Teaching Mathematics (EDMA)

EDMA 4563 Methods and Materials for Teaching Mathematics in the Secondary School
Systematic application of a variety of activities to facilitate the development of competent mathematics teachers. Development and implementation of instructional strategies for teaching mathematics, explicating types of knowledge and the ways they can be taught. Must be admitted to the Teacher Education Program. Spring.

Mathematics (MATH)

MATH 0003 Introductory Algebra
Credit not applicable toward a degree. Real numbers, inequalities, linear equations, exponents, polynomials, and rational expressions. A grade of C or better must be made in this course before enrolling in MATH 0013. Prerequisite, MATH ACT of 16. The grade in this course will not be used to compute semester and cumulative grade point averages. The course does not count toward any degree. Fall, Spring, Summer.

MATH 0013 Intermediate Algebra
Credit not applicable toward a degree. Exponents, radicals, polynomials, rational expressions, linear equations, functions, graphs, factoring, introduction to quadratic equations, and related topics. A grade of C or better must be made in this course before enrolling in MATH 1023, or MATH 1054. Prerequisite, High School Algebra I and Math ACT of 17 or 18, or a C or better in MATH 0003. The grade in this course will not be used to compute semester and cumulative grade point averages. The course does not count toward any degree. Fall, Spring, Summer.

MATH 1023 College Algebra
Equations and inequalities, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, matrices, and miscellaneous topics. No credit given if taken following MATH 1054. Prerequisite, High School Algebra II and score of 19 or above on Math ACT or 590 or above on SAT, or a grade of C or better in MATH 0013. Fall, Spring, Summer.

MATH 1033 Plane Trigonometry
Right triangles and similar triangles, trigonometric ratios, degrees, and radians, trigonometric functions, circular functions, trigonometric identities, inverse trigonometric functions, trigonometric equations, Law of Sines, Law of Cosines, vectors, polar coordinates, and complex numbers. No credit given if taken following MATH 1054. Prerequisite, High School Algebra II and score of 19 or above on Math ACT or 590 or above on SAT, or a grade of C or better in MATH 0013 or Corequisite, MATH 1023. Fall, Spring, Summer.

MATH 1054 Precalculus Mathematics
Selected topics from algebra, trigonometry, and analytic geometry. Prerequisite, High School Algebra II and score of 22 or above on Math ACT or 630 or above on SAT, or MATH 1023. Fall, Spring, Summer.

MATH 1093 Making Connections Mathematics
Required course for first semester freshmen. Core content includes transition to college, academic performance skills, problem solving, critical thinking, self management, group building skills, and university policies. Content related to the departmental majors is also included. Fall.

MATH 1143 Finite Mathematics
Selected topics include linear systems, matrices, linear equalities, linear programming simplex method, probability, combinatorics, statistics and finance application. Prerequisites, MATH 1023. Demand.

MATH 2113 Mathematics for School Teachers I
Sets, logic, and numbers with emphasis on the axiomatic development of the real numbers. For elementary education majors only. Prerequisite, with a C or better in MATH 1023. This course may not be used to satisfy general education mathematics requirement. Fall, Spring, Summer.

MATH 2123 Mathematics for School Teachers II
Mathematical systems, elementary algebra, probability and statistics, and geometry with applications. Prerequisite, C or better in MATH 2113. This course may not be used to satisfy general education mathematics requirement. Fall, Spring, Summer.

MATH 2143 Business Calculus
Exponential functions, mathematics of finance, systems of linear equations, linear inequalities and linear programming, limits, derivatives, and integrals, business calculus applications including marginal analysis, extrema and concavity of functions of one and several variables. Will not satisfy requirements for mathematics degrees. Prerequisite, MATH 1023 or MATH 1054 or a Math ACT score of 24 or an SAT score of 660. Fall, Spring, Summer.

MATH 2183 Discrete Structures
Topics include sets and functions, partially ordered sets, trees and graphs, algorithms, symbolic logic, Boolean algebra, combinatorics, and probability modeling. Prerequisites, High School Algebra II and score of 22 or above on Math ACT or 630 or above on SAT, or MATH 1054. Fall, Spring.

MATH 2194 Survey of Calculus
Survey of the basic concepts of calculus, including limits, derivatives, exponential and logarithmic functions, integrals, and series and sequences. Credit will not be given for both MATH 2194 and MATH 2204. Prerequisites, MATH 1023 or MATH 1054. Fall, Spring.

MATH 2204 Calculus I
Limits, derivatives, implicit differentiation, applications of the derivative, indefinite integrals, definite integrals, substitution techniques for integrals and applications of the integral. Prerequisites, High School Trigonometry and score of 24 or above on math ACT or 660 or above on SAT, or MATH 1023 and MATH 1033 or MATH 1054. Fall, Spring, Summer.

MATH 2214 Calculus II
Inverse trigonometric functions, hyperbolic functions, integration by parts, trigonometric substitution, partial fractions, integral tables, approximating definite integrals, Taylors Theorem, L’Hospital’s Rule, improper integrals, sequences, series, power series, Taylor series, parametric curves, arc length, surface area and polar coordinates. Prerequisite, MATH 2204 with a grade of “C” or better. Fall, Spring, Summer.

MATH 3003 Geometry for Middle School Teachers
Formal geometry in two and three dimensions, measurement, symmetry, congruence and similarity, coordinate geometry, constructions, conics. May not be used to satisfy the general education mathematics requirement. Prerequisites, C or better in both MATH 2113 and MATH 2123. Spring.

MATH 3051 Try Out the Classroom
Introductory classroom experience led by ASU STEM faculty and area teachers. Topics include Arkansas science/math curriculum, classroom management, laboratory safety, and basic teaching skills. Students will develop and present science/math activities in area classrooms and campus outreach. Prerequisites, MATH 2204 and MATH 2214. Fall.

MATH 3133 Math for School Teachers III
Mathematical systems of computation, geometry, algebra, probability and statistics with applications for the Middle School Teacher. This course may not be used to satisfy general education mathematics requirements. Prerequisites, C or better in both MATH 2113 and MATH 2123. Fall.

MATH 3243 Linear Algebra
Introduction to vector spaces, with application to matrix theory. Prerequisite, MATH 2214. Spring, Summer.

MATH 3254 Calculus III
Vectors, lines, and planes in two and three dimensions, vector valued functions, space curves, curvature and torsion, partial and directional derivatives, extrema of functions of several variables, optimization problems, double and triple integrals with applications, cylindrical and spherical coordinates, vector fields and line integrals, Greens Theorem and the divergence theorem. Prerequisite, MATH 2214. Fall, Spring, Summer.

MATH 3273 Applied Complex Analysis
Survey of complex analysis with emphasis on developing skills needed for applications. Prerequisite, MATH 3254. Demand.

MATH 3303 Modern Algebra I
Introduction to the theory of groups, rings, modules, and vector spaces, with emphasis on applications to the real number system. Prerequisite, MATH 2214. Fall.

MATH 3323 Mathematical Modeling
Construction of mathematical models for use with problems in the mathematical sciences, operations research, engineering and the management and life sciences. Prerequisite, MATH 2214. Spring.

MATH 3343 College Geometry
Geometric transformations and invariants. Prerequisite, MATH 2214. Spring.

MATH 3353 History of Mathematics
Origin and development of modern mathematical concepts. Topics include systems of numeration, algebra, geometry, calculus, and the foundations of the real number system. Prerequisite, MATH 2214. Fall, odd.

MATH 4403 Differential Equations
Topics in the elementary theory of differential equations, including existence theorems. Prerequisite, MATH 3254. Fall, Spring.

MATH 4423 Modern Algebra II
Continuation of MATH 3303. Prerequisite, MATH 3303. Spring.

MATH 4513 Applied Mathematics
Topics from ordinary and partial differential equations, including existence theorems. Prerequisite, MATH 3254. Fall, even.

MATH 4533 Numerical Methods
Algebraic, transcendental, ordinary and partial differential equations, finite differences, and integral equations. Numerical integration, error analysis, and other topics of numerical analysis utilizing high speed computer techniques. Prerequisites, MATH 2214 and CS 2114. Fall, odd.

MATH 4553 Advanced Calculus I
The calculus of one and of several variables. Limits, continuity, sequences, differentiation, partial differentiation, integration, and infinite series. Prerequisite, MATH 3254. Fall, Summer, even.

MATH 4563 Advanced Calculus II
Continuation of MATH 4553. Prerequisite, MATH 4553. Spring.

MATH 4581 Mathematics Seminar
Prerequisite, MATH 3303. Demand.

MATH 459V Special Problems in Mathematics
Prerequisite, MATH 3303. Demand.

Statistics (STAT)

STAT 3233 Applied Statistics I
For students in a variety of disciplines including the sciences, allied health fields, and education. Descriptive statistics for quantitative and qualitative data, normal distributions, correlation, linear regression, sample surveys, randomized comparative experiments, sampling distributions, estimation and hypothesis testing for means and proportions. Prerequisite, MATH 1023 or equivalent. Fall, Spring, Summer.

STAT 4453 Probability and Statistics I
Probability spaces, random variables, probability distributions, independence, conditioning, probability laws, sampling theory, and associated topics. Prerequisite, MATH 3254. Fall.

STAT 4463 Probability and Statistics II
Point and interval estimation, testing hypotheses, standard statistical tests, correlation and regression, and nonparametric methods. Prerequisite, STAT 4453. Spring.

STAT 4473 Applied Statistics II
A second course in applied statistics covering topics in statistical inference for comparing population means and proportions, power, and sample size analyses, analysis of variance, ANOVA, and multiple comparisons procedures, nonparametric statistical procedures, chi square analyses, and inference for regression. Prerequisite, STAT 3233 or equivalent. Spring.

Teaching Internship (TIMA)

TIMA 4825 Math Teaching Internship in the Secondary School
Ten semester hours. Full semester teaching internship. Fall, Spring.

TIMA 4826 Math Teaching Internship in the Secondary School
Twelve semester hours. Full semester of teaching internship. Fall, Spring.

Graduate


Mathematics

MATH 5123 Special Topics in Math and Science Education
Specific topics as they are related to mathematics and Science education. Does NOT apply to credit toward coursework required for the MS or MSE in Mathematics.

MATH 5423 Modern Algebra II
A continuation of MATH 3303. Prerequisite: MATH 3303.

MATH 5513 Applied Mathematics
A study of topics from ordinary and partial differential equations, vector analysis, and functions of a complex variable, with physical applications. Prerequisite: MATH 3254.

MATH 5533 Numerical Methods
Algebraic, transcendental, ordinary and partial differential equations, finite differences, and integral equations. Numerical integration, error analysis, and/or other topics of numerical analysis utilizing high speed computer techniques. Prerequisites: MATH 2214 and a high level programming language.

MATH 5553 Advanced Calculus I
The calculus of one and of several variables. Limits, continuity, sequences, differentiation, partial differentiation, integration, and infinite series. Prerequisite: MATH 3254.

MATH 5563 Advanced Calculus II
A continuation of MATH 5553. Prerequisite: MATH 4553.

MATH 5913 Advanced Geometry
Provides instruction to current teachers to increase mathematics content knowledge through the use of technology and cutting-edge pedagogical methods in geometry instruction. This course may not be used to satisfy a mathematics requirement for the MS or the MSE degree.

MATH 6603 Abstract Algebra I
A study of finite groups, cyclic groups, groups with operators, right and left modules, lattices and other related topics. Prerequisite: MATH 3303.

MATH 6613 Abstract Algebra II
A continuation of MATH 6603.

MATH 6623 Differential Geometry
An introduction to manifolds, connections, differentiable structures and related topics. Prerequisite: MATH 6753.

MATH 6643 Advanced Linear Algebra
Topics to be selected from the broad range of subjects usually called linear algebra or linear mathematics, including representation theory, infinite-dimensional vector spaces, normed linear spaces, complex vector spaces, tensor products and algebras, and forms. Prerequisites: MATH 3243, 3303.

MATH 6653 Theory of Numbers
Divisibility of integers, distribution of primes, congruences, quadratic residues, and continued fractions. Prerequisite: MATH 3303.

MATH 669V (1-3 hours) Seminar
Topics of interest to graduate mathematics students. MATH 6753 Point Set Topology Theory of point set and abstract spaces. The real line, metric spaces, and general topological spaces. Prerequisite: MATH 4553.

MATH 6793 Calculus of Variations
Necessary and sufficient conditions for extrema of single integral problems in the plane and three-space. Some generalizations to higher dimensions with applications. Prerequisite: MATH 4553.

MATH 6813 Advanced Ordinary Differential Equations
Stresses the study of existence of solutions, autonomous systems and their phase space and the Lyapunov stability of solutions of differential equations. Prerequisite: MATH 4553.

MATH 6823 Functions of a Real Variable I
Properties of sets, sequences of functions, measure theory and other related topics. Prerequisite: MATH 4553.

MATH 6833 Functions of a Real Variable II
A continuation of MATH 6823.

MATH 6853 Functions of a Complex Variable I
Elementary properties of a complex variable. Limits, continuity, differentiation, integration, and transformations. Prerequisite: MATH 4553.

MATH 6863 Functions of a Complex Variable II
A continuation of MATH 6853.

MATH 6873 Numerical Analysis I
Included are such topics as approximation, interpolation, numerical differentiation and integration, and smoothing of data. Prerequisite: MATH 4403 and a programming language such as C++ or FORTRAN, or permission of professor.

MATH 6883 Numerical Analysis II
Included are such topics as Gaussian Elimination, least squares methods, eigenvalues and eigenvectors, the QR algorithm, and interactive methods. Prerequisite: MATH 6873 or permission of professor.

MATH 680V (1-3 hours) Independent Study

MATH 689V (1-6 hours) Thesis

Statistics

STAT 5463 Probability and Statistics II
Point and interval estimation, testing hypotheses, standard statistical tests, correlation and regression, and non-parametric methods. Prerequisite: STAT 5453.

STAT 6613 Nonparametric Statistics
Topics include hypothesis testing using data from unknown distributions, tests of independence, tests of goodness-of-fit, rank correlation, and simple linear regression. Prerequisite: STAT 3233 or equivalent.

STAT 6623 Statistical Methods with SAS Programming
Point estimation, interval estimation, and tests of significance for comparing two population means and proportions. Power analysis and choosing sample size. Nonparametric methods and Chi-square tests. Linear regression, analysis of variance and multiple comparison procedures. Other topics as time permits. Prerequisite: Stat 3233 or equivalent.

STAT 6643 Multivariate Analysis
Topics include the bivariate normal distribution, multiple and partial correlation, canonical correlation, discriminate analysis, multivariate analysis of variance (MANOVA), and factor analysis. Prerequisite: STAT 3233, MATH 3243, or equivalent.

STAT 6653 Data Analysis I: Regression Analysis
Simple and multiple linear regression, related estimation and hypothesis testing, model selection, examination of residuals, multicollinearity diagnostics, outliers and influence, qualitative predictor variables, logistic regression. Prerequisite: STAT 3233 or equivalent.

STAT 6663 Data Analysis II: Analysis of Variance (ANOVA)
Single-factor, two-factor, and multifactor analysis of variance (ANOVA), related estimation and hypothesis testing, multiple comparison procedures, random effects models, analysis of covariance, ANOVA in some standard experimental designs. Prerequisite: STAT 6653 or permission of instructor.

STAT 6673 Design of Experiments
Replication, randomization, and blocking, analysis of variance, full and factorial experiments at two and three levels, effect aliasing, design resolution and minimum aberration criteria, non-regular designs and complex aliasing, introduction to response surface methodology. Prerequisite: STAT 3233 or equivalent.

STAT 6703 Statistical Analysis I
Applications of elementary statistics. Advanced principles including statistical study, data gathering, variance and covariance. Prerequisite : STAT 4453 or equivalent.

STAT 6713 Statistical Analysis II
A continuation of STAT 6703.

STAT 6723 Probability
Abstract probability spaces, random variables, conditional probability, independence, types of convergence, sums of independent random variable, stochastic processes. Prerequisite: MATH 4553.

STAT 6833 Biostatistics
Applications of advanced statistical techniques to the Life and Health Sciences. Topics include estimation and hypothesis testing, single and multiway analysis of variance (ANOVA), linear regression, correlation and frequency analysis. Prerequisite: an introductory level statistics course.