May 06, 2024  
2021-2022 Undergraduate Catalog 
    
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2021-2022 Undergraduate Catalog [ARCHIVED CATALOG]

Course Descriptions

Definitions

Corequisites

A corequisite identifies another course or courses that should be taken concurrently with the listed course. A student who enrolls in a listed course with corequisites must also enroll in those corequisite courses. A student who has previously completed a corequisite course may not need to repeat it; he or she should consult with an academic adviser before registering to determine specific requirements.

Course Credit Hours

The total semester hours of credit for each course are shown in parentheses immediately following the course title.

Prerequisites

A prerequisite identifies a course or other requirements that a student must have completed successfully before enrolling in the listed course. Any student who has not met prerequisites for a course may be administratively withdrawn from that course at the discretion of the instructor. It is the policy of some university departments to withdraw automatically any student who enrolls in a course without first meeting its prerequisites.
 

Mathematics
  

  • MATH 0099 - Intermediate Algebra

    4 Credit Hours
    Description
    A transition from elementary algebra to college algebra. Topics include operations with radicals, graphing of linear and nonlinear functions, algebra of linear and nonlinear functions, systems of linear equations and inequalities, review of factoring and quadratic functions. Applications will be emphasized. (Formerly LSP 0099).
  

  • MATH 0996 - Support for Elementary Statistics

    2 Credit Hours
    Corequisites: MATH 1401 .
    Description
    This Learning Support course provides co-requisite support for students enrolled in MATH 1401 Elementary Statistics. Topics will parallel topics being studied in MATH 1401 and the course will provide support for the essential skills needed to be successful in MATH 1401. Taken with MATH 1401, topics to be covered will include descriptive statistics, probability theory, confidence intervals, hypothesis testing, and other selected statistics topics.

  

  • MATH 0997 - Support for Quantitative Reasoning

    1 Credit Hours
    Corequisites: MATH 1001 .
    Description
    This course is a supplement to MATH 1001  and designated as a support to students taking Quantitative Reasoning concurrently. Topics covered will be skills that are necessary for success in MATH 1001 . The course content will focus on developing mathematical maturity through conceptual understanding and mastery of foundational skills. Enrollment in MATH 1001  is mandatory.

  

  • MATH 0998 - Support for Mathematical Modeling

    2 Credit Hours
    Prerequisites: Students who are enrolled in Math 0998 must be concurrently enrolled in MATH 1101 .
    Description
    This course is intended to provide corequisite support for students requiring remediation in mathematics while they are enrolled in MATH 1101 - Introduction to Mathematical Modeling .

  

  • MATH 0999 - Support for College Algebra

    2 Credit Hours
    Prerequisites: A suitable score on the math placement test or MATH 1001  or MATH 1101  with a C or higher, and concurrent registration in MATH 1111 .
    Description
    This course is intended to provide corequisite support for students requiring remediation in mathematics while they are enrolled in MATH 1111 - College Algebra .

  

  • MATH 1001 - Quantitative Reasoning

    3 Credit Hours
    Pre/Corequisites: Placement based on the mathematics placement policy.
    Description
    This course emphasizes quantitative reasoning skills needed for informed citizens to understand the world around them. Topics include logic, basic probability, data analysis and modeling from data. NOTE: This course is an alternative in Area A of the Core Curriculum and is not intended to supply sufficient algebraic background for students who intend to take Precalculus or the Calculus sequences for mathematics and science majors.

  

  • MATH 1070 - Elementary Statistics

    3 Credit Hours
    Description
    Descriptive statistics, basic probability, and distribution of random variables, estimation and hypothesis tests for means and proportions, regression and correlation, analysis of count data.

  

  • MATH 1101 - Introduction to Mathematical Modeling

    3 Credit Hours
    Description
    Mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. Emphasis is on the use of elementary functions to investigate and analyze applied problems and questions, on the use of appropriate supporting technology, and on the effective communication of quantitative concepts and results. Three lecture hours a week.

  

  • MATH 1111 - College Algebra

    3 Credit Hours
    Prerequisites: Appropriate score on the math placement test, or concurrent registration in Math 0999.
    Description
    This course provides an in-depth study of the properties of algebraic, exponential and logarithmic functions as needed for calculus. Emphasis is on using algebraic and graphical techniques for solving problems involving linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions. This course may be taken a maximum of two times.

  

  • MATH 1112 - College Trigonometry

    3 Credit Hours
    Prerequisites: Math 1111 with a grade of C or higher, or appropriate score on the math placement test.
    Description
    This course is an in-depth study of the properties of trigonometric functions and their inverses. Topics include circular functions, special angles, solutions of triangles, trigonometric identities and equations, graphs of trigonometric functions, inverse trigonometric functions and their graphs, Law of Sines, Law of Cosines, and vectors.

  

  • MATH 1113 - Precalculus

    3 Credit Hours
    Prerequisites: Math 1111 with a C or higher, or appropriate score on the math placement test.
    Description
    This course is an intensive study of the basic functions needed for the study of calculus. Topics include algebraic, functional, and graphical techniques for solving problems with algebraic, exponential, logarithmic, and trigonometric functions and their inverses. This course may be taken a maximum of two times.

  

  • MATH 1220 - Survey of Calculus

    3 Credit Hours
    Prerequisites: Math 1111 with grade of C or higher.
    Description
    Differential and integral calculus of selected real-valued functions of one and several real variables with applications.

  

  • MATH 1401 - Elementary Statistics

    3 Credit Hours
    Description
    This is a non-calculus based introduction to statistics. Course content includes descriptive statistics, probability theory, confidence intervals, hypothesis testing, and other selected statistical topics.

  

  • MATH 2008 - Foundations of Numbers and Operations

    3 Credit Hours
    Prerequisites: Math 1001, Math 1101, Math 1111, Math 1112, Math 1113, Math 2201, or Math 2211 with grade of C or higher.
    Description
    This course is an Area F introductory mathematics course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of number and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics.

  

  • MATH 2201 - Calculus for the Life Sciences I

    4 Credit Hours
    Prerequisites: Math 1112 or Math 1113 with a grade of C or higher, or appropriate score on the placement test.
    This course is not appropriate for mathematics, computer science, and physics majors or minors.

    Description
    Limits, derivatives and applications. Exponential and logarithmic functions. Integrals, antiderivatives and the Fundamental Theorem of Calculus. Examples and Applications are drawn from the life sciences.

  

  • MATH 2202 - Calculus for the Life Sciences II

    4 Credit Hours
    Prerequisites: Math 2201 with a grade of C or higher.
    Description
    Matrices, functions of several variables, differential equations and solutions with applications. Examples and applications are drawn from the life sciences. This course is not appropriate for mathematics, computer science, and physics majors or minors.

  

  • MATH 2211 - Calculus of One Variable I

    4 Credit Hours
    Prerequisites: Math 1113 with a C or higher, or a suitable score on the math placement test.
    Description
    Limits and Continuity, Differentiation, Mean Value Theorem for Derivatives; applications of differentiation; definition of the integral; Fundamental Theorem of Calculus; applications of integration to area. This course may be taken a maximum of two times.

  

  • MATH 2212 - Calculus of One Variable II

    4 Credit Hours
    Prerequisites: Math 2211 with grade of C or higher.
    Description
    Applications and techniques of integration; transcendental and inverse trigonometric functions; polar coordinates; infinite sequences and series; indeterminate forms; improper integrals.

  

  • MATH 2215 - Multivariate Calculus

    4 Credit Hours
    Prerequisites: Math 2212 with grade of C or higher.
    Description
    Real-valued functions of several variables, limits, continuity, differentials, directional derivatives, partial derivatives, chain rule, multiple integrals, applications.

  

  • MATH 2420 - Discrete Mathematics

    3 Credit Hours
    Prerequisites: Math 1112 or Math 1113 or Math 1220 with a grade of C or higher.
    Description
    This course introduces the ideas of finite mathematical structures. Topics include set theory, logic, proof techniques, functions and relations, graphs, and trees.

  

  • MATH 2641 - Linear Algebra I

    3 Credit Hours
    Prerequisites: Math 2212 with a C or higher.
    Description
    Theory and applications of matrix algebra, vector spaces, and linear transformations. Topics include linear equations and matrices, invertible matrices, determinants, vector spaces, subspaces, bases, eigenvalues and eigenvectors.

  

  • MATH 2652 - Differential Equations

    4 Credit Hours
    Prerequisites: Math 2215 with grade of C or higher.
    Description
    This course is an introduction to the basic ideas of ordinary differential equations. Topics include first-order equations, linear differential equations, series solutions, simple non-linear equations, systems of differential equations, and applications.

  

  • MATH 3000 - Bridge to Higher Mathematics-CTW

    3 Credit Hours
    Prerequisites: Math 2641 and Math 2420 with grades of C or higher.
    Requirements: Serves as the Critical Thinking Through Writing (CTWcourse required of all mathematics majors.

    Description
    Topics from set theory, real numbers, analysis, and algebra, which illustrate a formal approach to the presentation and development of mathematical concepts and proofs. Critical Thinking Through Writing (CTW) course.

  

  • MATH 3020 - Applied Probability and Statistics for Computer Science

    3 Credit Hours
    Prerequisites: Math 2212 with a C or higher.
    Description
    This course covers theory and applications of probability models, random variables, discrete and continuous probability distributions, joint and conditional distributions, sampling distributions, central limit theorem, hypothesis testing, confidence intervals, and exposure to simple linear regression. Time-to-failure probability models are considered.

  

  • MATH 3030 - Mathematical Models for Computer Science

    3 Credit Hours
    Prerequisites: Math 2212 and Math 2420 or CSc 2510 with grades of C or higher.
    Description
    Elements of mathematical modeling including: multivariate functions, probability, distributions of random variables, sampling, statistical inference, operators, vector analysis; elements of linear algebra.

  

  • MATH 3050 - Geometry and Spatial Sense

    3 Credit Hours
    Prerequisites: Math 2030 or Math 2008 with grade of C or higher.
    Description
    Building on Euclidean geometry this course is designed to develop a more visual understanding of geometry and enhance geometric intuition in two- and three-dimensions. Topics include measurement, two-dimensional geometry, three-dimensional geometry, spherical geometry, symmetry, tesselations, efficient shapes, transformations.

  

  • MATH 3070 - Introduction to Probability and Statistics

    3 Credit Hours
    Prerequisites: Math 2008 with grade of C or higher, or consent of instructor.
    Requirements: This course will not be accepted as a part of the requirements for a major in mathematics.

    Description
    This course is intended to provide an overview of the basics of probability and descriptive statistics. Various forms of technology will be used. Three lecture hours a week.

  

  • MATH 3090 - Algebraic Concepts

    3 Credit Hours
    Prerequisites: Math 2030 or Math 2008 with grade of C or higher.
    Requirements: This course will not be accepted as a part of the requirements for a major in mathematics.

    Description
    This course is designed to broaden understanding of fundamental concepts of algebra with particular attention given to specific methods and materials of instruction. The principle algebra topics to be taught in this course are: the Language of Algebra; Patterns, Relations, and Functions; and Balance, Equations, and Inequalities.

  

  • MATH 3350 - Scientific Computing

    3 Credit Hours
    Prerequisites: C or higher in Math 2215 and Math 2641.
    Description
    Introduction to programing in the Matlab, focusing on the knowledge and skills that are useful to scientific computing. The topics may include: basic Matlab concepts, matrix manipulations, linear algebra functions, plotting and visualizing functions, ordinary differential equations, basic statistical analyses and simple symbolic derivations. At the end of the class students should be able to use Matlab to address a variety of mathematical and statistical problems.

  

  • MATH 3420 - Applied Combinatorics

    3 Credit Hours
    Prerequisites: Math 2212 or Math 2420 with grade of C or higher.
    Description
    Counting principles; topics include combinations, permutations, generating functions, recurrence relations, principle of inclusion and exclusion, and Polya’s theory of counting.

  

  • MATH 3690 - Honors Readings

    1 to 3 Credit Hours
    Prerequisites: Good standing with the Honors College and consent of instructor.
    Description
    Discussion and readings on selected topics.

  

  • MATH 3820 - Historical and Cultural Development of Mathematics I

    3 Credit Hours
    Prerequisites: Math 1001, Math 1101, or Math 1111 with a C or higher.
    Description
    Exploration of the historical and cultural development of mathematics between ~3000 B.C. and ~A.D. 1600. Mathematics topics to include the development of arithmetic, geometry (practical, deductive, and axiomatic), number theory, trigonometry, syncopated and symbolic algebra, probability, and statistics. Global Scholars course. Three lecture hours a week.

  

  • MATH 3821 - Historical and Cultural Development of Mathematics II

    3 Credit Hours
    Prerequisites: Math 3000 with grade of C or higher.
    Description
    Exploration of the historical and cultural development of mathematics from ~A.D. 1600 to present. Mathematics topics to include the development of algebraic geometry, logarithms, calculus, non-Euclidean geometry, abstract algebra, probability, and analysis. Global Scholars course. Three lecture hours a week.

  

  • MATH 4010 - Mathematical Biology

    3 Credit Hours
    Prerequisites: Math 2652 with a C or higher.
    Description
    (Same as Biol 4010). This course provides an introduction to the use of continuous and discrete differential equations in the biological sciences. Topics include single species and interacting population dynamics, modeling infectious and dynamic diseases, regulation of cell function, molecular interactions and receptor-ligand binding, biological oscillators, and an introduction to biological pattern formation.

  

  • MATH 4211 - Optimization

    3 Credit Hours
    Prerequisites: Either Math 3030 or both Math 2641 and Math 2215 (each with a C or higher); and the ability to program in a high-level language.
    Description
    Lagrange multipliers, gradient methods (steepest descent), search techniques, variational methods and control problems; other varying topics such as dynamic programming, nonlinear programming.

  

  • MATH 4250 - Complex Analysis

    3 Credit Hours
    Prerequisites: Math 3000 with grade of C or higher.
    Description
    Complex numbers, analytic functions, complex series, Cauchy theory, residue calculus, conformal mapping.

  

  • MATH 4258 - Vector Calculus

    3 Credit Hours
    Prerequisites: Math 2215 with grade of C or higher.
    Description
    (Same as Phys 4510). Vector algebra, curvilinear motion, vector fields, gradient, divergence, Laplacian, line and surface integrals, integral theorems.

  

  • MATH 4265 - Partial Differential Equations

    3 Credit Hours
    Prerequisites: Math 2652 with a grade of C or higher.
    Description
    (Same as PHYS 4520). First-order equations, classification of linear second-order equations, separation of variables, Fourier series, orthogonal functions, Green’s functions.

  

  • MATH 4275 - Applied Dynamical Systems

    3 Credit Hours
    Prerequisites: Math 2652 with grades of C or higher.
    Description
    An introduction to discrete and continuous dynamical systems. Topics include: phase space; linear and nonlinear systems; structural stability; classification of equilibrium states, invariant manifolds; poincare maps, fixed points and period orbits; stability boundaries; local bifurcations; homoclinic orbits; routes to chaos in dissipative systems; applications from physics, biology, population dynamics, economics. Three lecture hours per week.

  

  • MATH 4301 - College Geometry

    3 Credit Hours
    Prerequisites: Math 3000 with grade of C or higher.
    Description
    Axioms of planar Euclidean Geometry. The 5th postulate. Congruence and Similarity. Theorem of Thales. Similar Triangles: SAS, AA, and SSS. Theorem of Ceva. The Pythagorean Theorem. Polygons. Circles, secants and tangents, measurement of an angle with respect to a circle. Perimeters, areas, circumference. Inscribed and circumscribed polygons. Coordinate Geometry in the plane. Mirror symmetries, rotations, translations and dilations. Isometries and the fundamental theorem of Euclidean Geometry. Transformations in the plane and tessellations.

  

  • MATH 4371 - Modern Geometry

    3 Credit Hours
    Prerequisites: Math 3000 with grade of C or higher.
    Description
    Euclidean and non-Euclidean geometry, including incidence, order, and the parallel postulate.

  

  • MATH 4381 - General Topology

    3 Credit Hours
    Prerequisites: Grade of C or higher in MATH 3000.
    Description
    This course will provide an introduction to general topology, which is the study of spaces and how to classify spaces according to their characteristic properties. The class will begin with a brief review of basic set theory and metric spaces. Topics covered include topological spaces, continuous functions, topological properties (connectedness, compactness, countability, and separation axioms), the fundamental group, and covering spaces.

  

  • MATH 4420 - Graph Theory

    3 Credit Hours
    Prerequisites: Math 3000 with grade of C or higher.
    Description
    Introduction to graph theory; topics include structure of graphs, trees, connectivity, Eulerian and Hamiltonian graphs, planar graphs, graph colorings, matchings, independence, and domination. Additional topics may include symmetry of graphs, directed graphs, extremal graph theory and Ramsey theory, graph embeddings, and probabilistic methods in graph theory.

  

  • MATH 4435 - Linear Algebra II

    3 Credit Hours
    Prerequisites: Math 2215, Math 2641, and Math 3000 with grades of C or higher.
    Description
    Theory and applications of matrix algebra, vector spaces, and linear transformations. Topics include matrix representations of linear transformations, eigenvalues and eigenvectors, similarity, the spectral theorem, and orthogonality.

  

  • MATH 4441 - Modern Algebra I

    3 Credit Hours
    Prerequisites: Math 2215, Math 2641, and Math 3000 with grades of C or higher.
    Description
    Axiomatic approach to algebraic structures, groups, permutations, homomorphisms, and factor groups.

  

  • MATH 4442 - Modern Algebra II

    3 Credit Hours
    Prerequisites: Math 4441 with grade of C or higher.
    Description
    Rings, integral domains, and fields; polynomials over a field, matrices over a field, algebraic numbers and ideals.

  

  • MATH 4444 - Polynomials

    3 Credit Hours
    Prerequisites: Math 3000 with grade of C or higher.
    Description
    The topic of polynomials is one of the oldest in mathematics and has applicability to almost every area of mathematics. The course will use algebra and analysis to study polynomials. Among topics to be covered: roots of polynomials (inequalities, relationship between the root of a polynomial and its derivative), resultants, discriminant, irreducible polynomials, special classes of polynomials (symmetric, cyclotomic, Chebysev, Lagrange), Grobner bases and algorithms.

  

  • MATH 4450 - Theory of Numbers

    3 Credit Hours
    Prerequisites: Math 3000 with grade of C or higher.
    Description
    Properties of integers, divisibility, congruence of problems.

  

  • MATH 4544 - Biostatistics

    3 Credit Hours
    Prerequisites: Math 2201 or Math 2211; and Biol 2108K (or Biol 2108 and Biol 2108Lwith a C or higher; or equivalents.
    Description
    (Same as Biol 4744). Degree credit will not be given for both Math 4544 and 4547. Principles and methods of statistics as applied to biology and medicine.

  

  • MATH 4547 - Introduction to Statistical Methods

    3 Credit Hours
    Prerequisites: grade of C or higher in a course in calculus.
    Description
    Degree credit will not be given for both Math 4544 and Math 4547. Data analysis, sampling, and probability; standard methods of statistical inference, including t-tests, chi-square tests, and nonparametric methods. Applications include use of a statistical computer package.

  

  • MATH 4548 - Methods of Regression and Analysis of Variance

    3 Credit Hours
    Prerequisites: grade of C or higher in a course in calculus, and a course covering methods of statistical inference.
    Description
    Simple and multiple regression, model selection procedures, analysis of variance, simultaneous inference, design and analysis of experiments. Applications include use of a statistical computer package.

  

  • MATH 4610 - Numerical Analysis I

    3 Credit Hours
    Prerequisites: Math 2215 with grade of C or higher and the ability to program in a high-level language.
    Description
    (Same as CSc 4610). Nature of error; iteration; techniques for nonlinear systems; zeros of functions; interpolation; numerical differentiation; Newton-Cotes formulae for definite integrals; computer implementation of algorithms.

  

  • MATH 4620 - Numerical Analysis II

    3 Credit Hours
    Prerequisites: Either Math 3030 or both Math 2641 and Math 2215 with grades of C or higher, and the ability to program in a high level language.
    Description
    (Same as CSC 4620). Gaussian Elimination for linear systems; least squares; Taylor, predictor-corrector and Runge- Kutta methods for solving ordinary differential equations; boundary value problems; partial differential equations.

  

  • MATH 4661 - Analysis I

    3 Credit Hours
    Prerequisites: MATH 2215, MATH 2641, and Math 3000 with grades of C or higher.
    Corequisites: MATH 4435.
    Description
    The real number system, basic topology of metric spaces, sequences and series, limits and continuity.

  

  • MATH 4662 - Analysis II

    3 Credit Hours
    Prerequisites: Math 4661 with grade of C or higher.
    Description
    Differentiation of real functions, Reimann integrals, sequences and series of functions, differentation and integration of functions of several variables.

  

  • MATH 4751 - Mathematical Statistics I

    3 Credit Hours
    Prerequisites: Math 2215 with grade of C or higher.
    Description
    Probability, random variables and their distributions, mathematical expectation, moment generating functions, sampling distributions.

  

  • MATH 4752 - Mathematical Statistics II

    3 Credit Hours
    Prerequisites: Math 4751 with grade of C or higher.
    Description
    Theory of estimation and hypothesis testing, applications of statistical inference, introduction to regression and correlation.

  

  • MATH 4870 - Honors Thesis I

    1 to 6 Credit Hours
    Prerequisites: Good standing with the Honors College and consent of instructor.
    Requirements: Signature Experience course.

    Description
    Readings or research preparatory to Honors thesis or project.

  

  • MATH 4880 - Honors Thesis II

    1 to 6 Credit Hours
    Prerequisites: Good standing with the Honors College and consent of instructor.
    Requirements: Signature Experience course.

    Description
    Writing or production of Honors thesis or project.

  

  • MATH 4982 - Undergraduate Research in Mathematics

    3 Credit Hours
    Prerequisites: at least 12 upper-division hours in mathematics with grades of C or higher.
    Requirements: Authorization required.

    Description
    Independent investigation of topics of common interest to student and instructor. This course may include a Signature Experience component.

  

  • MATH 4991 - Senior Seminar-CTW

    3 Credit Hours
    Prerequisites: Math 4435 with grade of C or higher.
    Requirements: Serves as one of the two Critical Thinking Through Writing (CTW) courses required of all mathematics majors.

    Description
    This course introduces students to independent research in mathematics and related areas. Critical Thinking Through Writing (CTW) course.

  

  • MATH 4995 - Directed Readings B.I.S.-CTW

    3 to 4 Credit Hours
    Requirements: This course may satisfy the junior and/or senior-level Critical Thinking Through Writing requirements.

    Description
    Directed Readings designed for Bachelor of Interdisciplinary Studies students.

  

  • MATH 4998 - Selected Topics

    1 to 3 Credit Hours
    Prerequisites: consent of instructor.
    Description
    No more than six credit hours may be applied toward the major. May be repeated if topics are different.