Course Descriptions for Mathematics

MATH 0803 Beginning Algebra
Content of this course is as follows: the language of algebra, fundamental operations, signed numbers, equations and problem solving. The grade in the course will be computed in semester and cumulative grade point averages, but the course may not be used to satisfy general education requirements nor provide credit toward any degree. A student who makes a "D" or "F" in MATH 0803 must repeat the course in each subsequent semester until he or she earns a grade of "C" or better. Students who make a grade of "C" or better in MATH 0803 must enroll in MATH 0903 the following semester. 

MATH 0903 Intermediate Algebra
Prerequisites: One unit of high school algebra, or MATH 0803, or consent of the department of mathematics. The purpose of this course is to prepare for college-level mathematics those students whose mathematics background is inadequate. Content of the course is fundamental operations, linear equations, special products and factoring, fractions, functions, graphs, and systems of linear equations. The grade in the course will be computed in semester and cumulative grade point averages, but the course may not be used to satisfy general education requirements nor provide credit toward any degree. A student who makes a "D" or "F" in MATH 0903 must repeat the course in each subsequent semester until he or she earns a grade of "C" or better.

MATH 1003 College Mathematics
Prerequisite: Score of 19 or above on the mathematics subscore of the Enhanced ACT, score of 460 or above on the quantitative portion of SAT, score of 41 or above on the quantitative portion of the
COMPASS mathematics section, or make a grade of C or higher in MATH 0903. The course focuses upon the mathematics of contemporary life. Topics include Planning and Scheduling schemes from
Management Science, Data Analysis, Probability and Inference from Statistics, Voting Systems and Division Schemes from the science of Social Choice, and various Growth Models.

MATH 1103 Algebra for General Education
Prerequisite: Score of 19 or above on the mathematics portion of the Enhanced ACT, or score of 390 or above on the quantitative portion of SAT, or score of 43 or above on the ASSET Intermediate Algebra test, or grade of "C" or better in MATH 0903. Content of course will include data analysis through a study of regression equations, functions, including polynomial, rational, and exponential, variation, modeling, and systems of equations.  May not be taken for credit after completion of MATH 1113. Current Departmental Course Syllabus for Collage Algebra for Gen. Ed.

MATH 1113 College Algebra.
Prerequisite: Score of 19 or above on the mathematics portion of the ACTE exam, or score of 460 or above on the quantitative portion of SAT, or score of 41 or above on the COMPASS mathematics section, or grade of “C” or better in MATH 0903.  Exponents and radicals, introduction to quadratic equations, systems of equations involving quadratics, ratio, proportion, variation, progressions, the binomial theorem, inequalities, logarithms, and partial fractions. May not be taken for credit after completion of MATH 2703 or any higher level mathematics course.

MATH 1203 Plane Trigonometry
Prerequisite: MATH 1113. A study of the properties of the trigonometric functions and their graphs, solution of right and oblique triangles, formulas and identities, inverse functions, and trigonometric equations.

MATH 1914 Precalculus
Prerequisites: Completion of high school algebra I and II with a grade of ‘C’ or better and a score of 19 or above on the mathematics portion of the ACTE exam, or score of 460 or above on the quantitative portion of the SAT, or score of 41 or above on the COMPASS mathematics section, or MATH 1113 and MATH 1203, or a grade of ‘C’ or better in MATH 0903. This course is designed to provide additional mathematical background before enrolling in the calculus sequence.

MATH 2033 Mathematical Concepts I.
Prerequisite: MATH 1113 or MATH 1103. For elementary education majors. A study of problem solving, elementary set theory, numeration systems, Elementary number theory, and the real number system.

MATH 2043 Mathematical Concepts II
Prerequisite: MATH 2033.  For elementary education majors. A continuation of Mathematical Concepts I.  A study of rational numbers, elementary concepts of statistics and probability, introductory algebra, and informal geometry.

MATH 2163 Introduction to Statistical Methods
Prerequisite: MATH 1113 or consent of the instructor. An introduction to statistics, including the following topics:  descriptive statistics, random variables, probability and sampling distributions, hypothesis testing, regression.  May not be taken for credit after completion of MATH 3153.

MATH 2183 Statistical Process Control
Prerequisite:  MATH 2163 or equivalent.  This is a course in statistical process control using Deming's philosophy for the improvement of quality, productivity, and competitive position.

MATH 2243 Calculus for Business and Economics.
Prerequisite: MATH 1113 or two years of high school algebra and a score of 22 or higher on the mathematics portion of the ACT examination. An introduction to the techniques of differentiation and integration. Emphasis will be placed on applications of calculus in business, economics, accounting, social sciences, and life sciences. May not be taken for credit after completion of MATH 2914 or equivalent.

MATH 2703 Discrete Mathematics. 
Prerequisite: MATH 1113.  A study of graph theory, trees, combinatorics, logic, and Boolean Algebra.

MATH 2914 Calculus I.
Prerequisites: Math ACTE score of 24 or higher, or a grade of C or higher in MATH 1914, or MATH 1203, or consent of the Mathematics Department. This is the first of two courses covering the calculus of functions of a single variable. Duplicate credit for MATH 2913 and MATH 2914 will not be allowed.

MATH 2924 Calculus II
Prerequisite: MATH 2914. A study of integral calculus with applications, transcendental functions, and techniques of integration.

MATH 2934 Calculus III
Prerequisite: MATH 2924. Sequences and series, conic sections, vectors, polar coordinates, and parametric equations.

MATH 2981-3 Special Topics in Mathematics
Prerequisite: Math ACTE score of 22 or higher, or MATH 1113, or consent of instructor. This course will be offered on an “as-needed” basis to cover topics in mathematics that are not otherwise covered in the curriculum. The content and credit for this course will vary according to the interests and needs of the student. This course may be repeated for credit if the course content differs.

MATH 3003Foundations of Number Systems 
Prerequisite: MATH 2703. A brief review of elementary set theory, followed by the construction of the natural numbers, the integers, the rational numbers, the real numbers and the complex numbers accompanied by a development of the order and field properties.

MATH 3033 Methods of Teaching Elementary Mathematics
Prerequisite: MATH 2043.  For elementary education majors.  A study of materials, methods, and procedures of teaching elementary school mathematics.  Emphasis is placed on activity-based learning.

MATH 3113 Transition to Advanced Mathematics
Prerequisite: MATH 2934. Elementary logic, the algebra of sets, relations and functions, equivalence relations and partitions, natural numbers, integers, rational and real numbers.

MATH 3123 College Geometry
Prerequisite: MATH 2934. A formal approach to plane geometry with coordinates; sets, points, lines, planes, distance, and coordinate systems, angles, congruence, parallelism, and similarity.

MATH 3153 Applied Statistics I
Prerequisite: MATH 2924.  Collection  and analysis of data, control charts, probability models, random variables, confidence intervals, and hypothesis testing.

MATH 3163  Mathematical Modeling I
Prerequisites: MATH 2703 and MATH 2934.  This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with calculus or lower-level mathematics.  Emphasis will be placed on connections of mathematics to application areas such as business, industry, economics, physical sciences, biological sciences, medicine, and social sciences.

MATH 3203 Introduction to Analysis
Prerequisite:  MATH 2934 and MATH 3113.  A careful development of the real number system and the theory of calculus on the real line.

MATH 3243 Differential Equations I
Corequisite: MATH 2934. A study of the differential equations of the first order and first degree, linear equations, with constant coefficients; methods of undermined coefficients, operators, variations of parameter, and change of variable; equations of order one and higher degree, and special equations of order two.

MATH 4003 Linear Algebra I
Prerequisite: MATH 2934. Matrices and matrix algebra, systems of linear equations, determinants, eigenvalues, eigenvectors, general vector spaces, linear transformations.

MATH 4033 Abstract Algebra I
Prerequisite: MATH 3113.  A study of groups and other algebraic structures, including subgroups, normal sub-groups, quotient groups, abelian groups, groups of permutations, homomorphisms, kernel, and range.

MATH 4103 Linear Algebra II
Prerequisite: MATH 4003, A continuation of MATH 4003 with emphasis on abstract vector spaces, inner product spaces, linear transformations, kernel and range, and applications of linear algebra. MATH 5103 May not be taken for credit after completion of MATH 4103 or equivalent.

MATH 4113 History of Mathematics
Prerequisite: MATH 2934. A study of selected topics from the history and nature of mathematics from ancient to modern times. Emphasis will be placed on the historical development of mathematics through a study of biographies of prominent mathematicians and the evolution of some important mathematical concepts. The fundamental role of mathematics in the rise, maintenance, and extension modern civilization will be considered. MATH 5113 may not be taken for credit after completion of this course.

MATH 4133  Abstract Algebra II
Prerequisite:  MATH 4033.  Groups, subgroups, homomorphisms, isomorphisms, complex numbers, finite groups.

MATH 4153 Applied Statistics II
Prerequisite: MATH 3153. Analysis of variance, one factor experiments, experimental designs with two or more factors, linear and multiple regression analysis.  MATH 5153 may not be taken for credit after completion of this course.

MATH 4163 Mathematical Modeling II
Prerequisites: MATH 3153,  MATH 3243, and MATH 3163.  This course is a continuation of MATH 3163.   Mathematical models studied in this course may require a knowledge of any area of mathematics normally included in an undergraduate curriculum.  At least one model will be based on a problem that is given to the class by a representative from business or industry.   Emphasis will be placed on connections of mathematics to application areas such as business, industry, economics, physical sciences, biological sciences, medicine, and social sciences.

MATH 4173 Advanced Biostatistics
Prerequisite: An introductory statistics course or permission of the instructor. This course will include analysis of variance, one factor experiments, experimental design with two or more factors, linear and multiple regression analysis, and categorical data analysis.  MATH 5173 may not be taken for credit after completion of this course.

MATH 4243 Differential Equations II
Prerequisite: MATH 3243 and MATH 4003. A continuation of MATH 3243 with emphasis on  higher order and systems of differential equations.

MATH 4253 Advanced Calculus I
Prerequisite: MATH 3203. The real numbers, the topology of cartesian spaces and convergence of continuous functions.

MATH 4263 Mathematical Statistics
Prerequisite: MATH 3153. This is an introductory course in mathematical statistics. Topics include distribution functions (both discrete and continuous), multivariate distributions, distributions of functions of random variables, and statistical inference.

MATH 4273 Complex Variables
Prerequisite: MATH 3203. An introduction to complex variables. This course will emphasize the subject matter and skills needed for applications of complex variables in science, engineering, and mathematics. Topics will include complex numbers, analytic functions, elementary functions of a complex variable, mapping by elementary functions, integrals, series, residues and poles and conformal mapping. MATH 5273 may not be taken for credit after completion of this course.

MATH 4283 Advanced Calculus II
Prerequisite:  MATH 4253.  Differentiation, integration and infinite series.

MATH 4293 Introductory Topology
Prerequisite: MATH 4253. Metric spaces, topological spaces, mappings, limit point, continuity, connectedness, and compactness. MATH 5293 may not be taken for credit after completion of this course.

MATH 4703 Special Methods in Mathematics
Prerequisites: SEED 2002 and junior standing or permission of instructor.  This course, designed for prospective junior and senior high mathematics teachers, will provide the student with knowledge of current research and practice in mathematics education, a setting in which to apply that knowledge, and the opportunity to assess their teaching performance and formulate a plan for improvement.

MATH 4772 Mathematics Teaching Practicum
A course designed to provide mathematics education majors with experience in teaching mathematics and assessing student performance.

MATH 4991-4 Special Problems in Mathematics
The content and credit for this course will be designed to meet the needs of the student.

MATH 5103 Linear Algebra II
Prerequisites:  MATH 4003 or consent of Department of Mathematics.  A continuation of MATH 4003 with emphasis on abstract vector spaces, inner product spaces, linear transformations, kernel and range, and applications of linear algebra.  MATH 5103 may not be taken for credit after completion of MATH 4103 or equivalent.

MATH 5113 History of Mathematics
Prerequisites:  MATH 2934.  A study of selected topics for the history and nature of mathematics from ancient to modern times.  Emphasis will be placed on the historical development of mathematics through a study of biographies of prominent mathematicians and the evolution of some important mathematical concepts.  The fundamental role of  mathematics in the rise, maintenance, and extension modern civilization will be considered.  May not be taken for credit after completion of MATH 4133 or equivalent.

MATH 5153 Applied Statistics II
Prerequisites:  MATH 3153.  Analysis of variance, one factor experiments, experimental designs with two or more factors, linear and multiple regression analysis.  This course may not be taken for credit after completion of MATH 4153.

MATH 5173  Advanced Biostatistics
Prerequisite: An introductory statistics course or permission of the instructor. This course will include analysis of variance, one factor experiments, experimental design with two or more factors, linear and multiple regression analysis, and categorical data analysis.  May not be taken for credit after completion of MATH 4173

MATH 5273 Complex Variables
Prerequisites:  MATH 3203.  An introduction to complex variables.  This course will emphasize the subject matter and skills needed for applications of complex variables in science, engineering, and mathematics.  Topics will include complex numbers, analytic functions, elementary functions of a complex variable, mapping by elementary functions, integrals, series, residues and poles and conformal mapping.  May not be taken for credit after completion of MATH 4273.

MATH 5293 Introductory Topology
Prerequisite:  MATH 4253.  Metric spaces, topological spaces, mappings, limit point, continuity, connectedness, and compactness.  May not be taken for credit after completion of MATH 4293.

MATH 6023 Higher Order Thinking in Mathematics
Prerequisites:  Permission of instructor.  This course will provide mathematics teachers in grades five through college with examples of lessons incorporating methods appropriate for students with different learning styles.  These lessons will emphasize the use of manipulative, hands-on materials, cooperative learning techniques, and technology.  Mathematical content will help teachers build mathematical connections and concepts across grade levels using concrete experiences and bridging to abstract understanding.

MATH 6123 Modern Geometry
Prerequisite:  MATH 3123.  A brief review of standard topics in Euclidean geometry followed by a study of hyperbolic and elliptic geometries, projective geometry, and geometric topology.

MATH 6143 Number Theory
Prerequisites:   MATH 4033  The standard topics in the theory of numbers, including divisibility, congruencies, quadratic residues, and distribution of primes, continued fractions, and number theoretic functions.

MATH 6183 Introduction to Real Analysis
Prerequisites:  MATH 4253.  Study of real number, topology of the line and plane, sequences and series, and differentiation and integration.