# Mathematics (MATH)

MATH 060  Intermediate Algebra  Credits: 3

Algebraic skill-building for students anticipating further courses in mathematics or areas using mathematics. Covers polynomials, roots and powers, lines and solving linear inequalities, and linear, quadratic, and rational equations.

Fall: All Years  Spring: All Years  Summer Department Discretion
MATH 090  Algebra Review  Credits: 2

A study of the fundamental concepts of algebra. Topics include: operations with real numbers; polynomial equations and inequalities; rational expressions, equations and functions; exponential, and logarithmic functions and their graphs; systems of linear equations; operations with exponents; and factoring.Corequisites: Math 110 College Algebra with same section number as Math 090 section. Instructor permission required to withdraw.

Pre-Requisite : CPL 3001
Fall: All Years  Spring: All Years
MATH 101  Great Ideas of Mathematics  Credits: 3

This course investigates mathematics by introducing selected mathematical models and examining how they are applied to real world problems. Students are expected to use mathematical techniques in the application of the models studied in the course. The required preparation is MATH 060 or three years of high school mathematics.

Goal: Goal: 04- Mathematical/Logical Reasoning
Fall: All Years  Spring: All Years  Summer Department Discretion
MATH 110  College Algebra  Credits: 3

A study of the fundamental concepts of algebra. Topics include: equations and inequalities polynomial, rational, exponential, and logarithmic functions and their graphs, and systems of linear equations.Prerequisites: This course requires either of these prerequisites MATH 060 - Intermediate Algebra (Minimum grade: 2.0 GPA Equivalent) or A score of 60 on test Intermediate Alg Placement Test - CAT, unless student meets Algebra College Level placement Corequisites: Math 090 if prerequisite placement score is not met. Math 090 section number and Math 110 section number must be the same.

Pre-Requisite : MATH 060 with C or better or a score of 22 on ACT Math or 530 on SAT Math or 60 on Intermediate Alg placement Test-CAT or 76 on Accuplacer Elementary Algebra and 50 on Accuplacer College Level Math or 1158 on MCA
Goal: Goal: 04- Mathematical/Logical Reasoning
Fall: All Years  Spring: All Years  Summer All Years
MATH 115  Finite Mathematics  Credits: 3

Solving systems of linear equations, matrix operations, and an introduction to linear programming, including the simplex method, mathematics of finance, counting techniques, and probability. The required preparation is MATH 110 or three years of high school mathematics.

Goal: Goal: 04- Mathematical/Logical Reasoning
Fall: All Years  Spring: All Years  Summer All Years
MATH 125  Trigonometry & Special Functions  Credits: 3

Trigonometry, both circular functions and right triangle, trigonometric equations, logarithms, exponential functions, and complex numbers. The required preparation is MATH 110 or three years of high school mathematics, not including trigonometry. Students who do not meet the stated requirements may be dropped from the course.

Pre-Requisite : MATH 110 or a score of 22 on ACT Math or 530 on SAT Math or 60 on Intermediate Alg placement Test-CAT or 76 on Accuplacer Elementary Algebra and 50 on Accuplacer College Level Math
Goal: Goal: 04- Mathematical/Logical Reasoning
MATH 129  Mathematics for Elementary Education  Credits: 3

This is the mathematics content course for elementary education majors, which focuses on the content areas that must be taught at the elementary school level. Topics include problem solving, numeracy, discrete math, probability, statistics, and geometry. An understanding of the underlying mathematical concepts is developed to allow students to master the associated mathematical procedures.

Pre-Requisite : MATH 110 or MATH 125 or MATH 135 or MATH 140 or a score of 24 on test ACT Math
Fall: All Years  Spring: All Years
MATH 135  Precalculus  Credits: 5

A detailed study of the mathematics needed for calculus. Concepts are presented and explored from symbolic, graphical, and numerical perspectives. Basic concepts covered include polynomial, rational, exponential, logarithmic, and trigonometric functions, complex numbers, linear systems, numerical patterns, sequences and series. Students must have passed Math 060 with a B- or better, or Math 110 with a C- or better, or met one of the other stated prerequisites. Students who do not meet the stated requirements may be dropped from the course.

Pre-Requisite : MATH 060 with C or better or MATH 110 or a score of 22 on ACT Math or 530 on SAT Math or 60 on Intermediate Alg placement Test-CAT or 76 on Accuplacer Elementary Algebra and 50 on Accuplacer College Level Math
Goal: Goal: 04- Mathematical/Logical Reasoning
Fall: All Years  Spring: All Years
MATH 150  Calculus I  Credits: 5

Differential calculus of elementary functions, including applications. Introduction to integration. The required preparation is MATH 125 or MATH 135 or three years of high school mathematics including trigonometry.

Goal: Goal: 04- Mathematical/Logical Reasoning
Fall: All Years  Spring: All Years
MATH 151  Calculus II  Credits: 4

A continuation of Calculus I to include further techniques of integration and applications, Taylor approximations, sequences and series, plane analytical geometry, parametric equations, including polar coordinates. Students who do not receive a grade of C- or better in Math 150 (or equivalent) may be dropped from the course.

Pre-Requisite : MATH 150
Goal: Goal: 04- Mathematical/Logical Reasoning
Fall: All Years  Spring: All Years
MATH 200  Introduction to Statistics  Credits: 3

Introduction to measures of central tendency, measures of dispersion, frequency distributions, large and small samples, testing of hypotheses, and correlation analysis. Use of computers in statistical analysis. The required preparation is MATH 110 or three years of high school mathematics.

Goal: Goal: 04- Mathematical/Logical Reasoning
Fall: All Years  Spring: All Years  Summer Department Discretion
MATH 201  Statistical Software  Credits: 1

Use of statistical software including SPSS and MINITAB. Graphical and numerical methods of summarizing data, hypothesis testing, regression analysis, ANOVA, and other statistical procedures. Check the validity of statistical model assumptions. The required preparation is completion or enrollment in MATH 200 or equivalent or familiarity with statistical procedures.

Fall: All Years  Spring: All Years
MATH 202  Statistical Programming in R  Credits: 1

Use of statistical software R for data analyses. Graphical and numerical methods of summarizing data, hypothesis testing, regression analysis, ANOVA, and other statistical procedures. Check the validity of statistical model assumptions. The required preparation is completion or enrollment in Math 200 or equivalent, or familiarity with statistical procedures.

Fall: All Years  Spring: All Years
MATH 252  Calculus III  Credits: 4

Vectors and the geometry of two and three space, functions of several variables, differentiability, arc length and surface area, extrema and Lagrange multipliers, multiple integration, line and surface integrals, and the theorems of Green, Gauss, and Stokes. Students who do not receive a grade of a C- or better in Math 151 (or equivalent) may be dropped from the course.

Pre-Requisite : MATH 151
Fall: All Years
MATH 300  Modern Geometry  Credits: 3

The postulation systems of geometry, including Euclidean and non-Euclidean geometries, projective and affine geometry. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151
Fall: Even Years
MATH 310  Number Theory  Credits: 3

The integers, including Peano postulates, divisibility, congruencies, Diophantine equations, and continued fractions. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151
Fall: Department Discretion  Spring: Department Discretion
MATH 320  Foundations of Mathematics  Credits: 3

The nature of mathematics, the axiomatic method, the theory of sets, the real number continuum, and various viewpoints on the foundations of mathematics. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 150
Spring: All Years
MATH 325  Combinatorics & Graph Theory  Credits: 3

A survey of some of the techniques of combinatorials mathematics and their application. Topics include connectivity, planarity and colorability of graphs, graph isomorphisms, enumeration techniques, recurrence relations, and generating functions. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 320
Fall: All Years
MATH 345  Numerical Analysis  Credits: 3

Finite differences and applications; interpolation formulas; inversion of matrices; numerical methods of solution of equations; numerical differentiation and integration. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151
Spring: Even Years
MATH 350  Differential Equations  Credits: 3

Exact solutions and applications of differential equations. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151
Spring: All Years
MATH 360  Linear Algebra  Credits: 3

Matrices and determinants with applications to vector spaces (linear transformations and eigenvalues) and the solution of systems of linear equations. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151
Fall: All Years
MATH 370  Operations Research  Credits: 3

Several types of optimizing techniques, including linear programming, simulations, applications of probability, and dynamic programming.

Pre-Requisite : MATH 151
Fall: Department Discretion  Spring: Department Discretion
MATH 386  Special Topics in Mathematics  Credits: 1-4

A study of different topics in mathematics. See current course schedule for topic listing when offered.

Fall: Department Discretion  Spring: Department Discretion  Summer Department Discretion
MATH 394  Directed Studies in Mathematics  Credits: 1-4

Independent study of mathematical topics not ordinarily covered in the established courses. May be repeated.

Fall: Department Discretion  Spring: Department Discretion
MATH 430  Probability & Statistics  Credits: 3

An introduction to calculus of probabilities and mathematical statistics, including discrete and random variables, mathematical expectation, probability distributions, sampling, hypothesis tests, regression, and correlation. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151 AND MATH 200 AND MATH 320
Spring: Odd Years
MATH 440  Abstract Algebra  Credits: 3

Topics may include groups, rings, fields, or fields. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151 AND MATH 320
Fall: Odd Years
MATH 450  Real Analysis  Credits: 3

A theoretical investigation of the real numbers. Topics include sequences, series and convergence, limits and continuity of functions, differentiation, and integration. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 151 AND MATH 320
Spring: Odd Years
MATH 455  Applied Mathematics  Credits: 3

Partial differential equations of physics and engineering including Laplace, heat and wave equations, Fourier series methods and the methods of separation of variables. Additional topics may include Sturm-Liouville problems, Greens functions, and the method of characteristics. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 252 AND MATH 350
Fall: Even Years
MATH 460  Complex Analysis  Credits: 3

The algebra of complex numbers, analytic functions, mapping properties of the elementary functions, Cauchys Theorem, Cauchys integral formula and residues. Students must earn a grade of C- or better in all prerequisite courses. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Pre-Requisite : MATH 252 and junior status.
Spring: Even Years
MATH 480  Mathematics Seminar  Credits: 1

This course is designed to acquaint the student with current research in mathematics by a review of current mathematical literature sources. Students integrate and synthesize their backgrounds by presenting a problem solving or research project. The Department of Mathematics & Computer Science reserves the right to remove students from the course who do not meet the course prerequisites.

Fall: All Years
MATH 486  Advanced Topics in Mathematics  Credits: 1-4

A study of more advanced topics in mathematics not normally provided as part of the curriculum.

Fall: Department Discretion  Spring: Department Discretion
MATH 499  Internship in Mathematics  Credits: 1-16

On-the-job supervised experience and study dealing with applications of mathematics.

Fall: Department Discretion  Spring: Department Discretion
MATH 501  Introduction to Mathematical Logic  Credits: 3

An introduction to mathematical logic. Topics include: Sentential logic, the predicate calculus, the statement calculus and its completeness theorem, first order theories, consistency and completeness, and Godels Theorem. This course meets CECP Guidelines.

Spring: Department Discretion
MATH 510  Advanced Number Theory  Credits: 3

Number theory, which is one of the most ancient branches of mathematics and continues to be an active area of research, is the study of integers, the most basic structure of mathematics, and many of their fascinating properties. For example, it has a major recent day application in communications and cryptography. Topics include proof by induction, divisibility, primes, uniqueness of factorization, congruencies, Chinese Remainder Theorem, Cryptography, Pythagorean triples and other Diophantine equations, Pells Equation, primarily testing, factoring methods, primitive roots, perfect numbers, rational versus irrational, and continued fractions, quadratic congruencies, and quadratic reciprocity. The required preparation for this course is an undergraduate major in mathematics or mathematics education.

Summer Odd Years
MATH 515  Advanced Discrete Mathematics  Credits: 3

An extension of the usual material presented in an undergraduate course in Discrete Mathematics. Topics will include: coding theory, Polya enumeration, scheduling and bin packing, and combinatorial games. A current computer software package will be utilized to explore these topics. The required preparation for this course is an undergraduate major in mathematics or mathematics education.

Spring: Department Discretion
MATH 530  Statistics  Credits: 3

This course is designed to give students both the theoretical and practical aspects of statistics. Topics include probability distributions of discrete and continuous random variables, mathematical expectations, multivariate distributions, correlations, confidence intervals, hypothesis testing, linear regression, and use of technology. The required preparation for this course is an undergraduate course in statistics, and an undergraduate major in mathematics or mathematics education.

Summer Odd Years
MATH 540  Abstract Algebra  Credits: 3

A first graduate course in abstract algebra. Topics may include: groups, subgroups, quotient groups, homomorphisms, isomorphisms, group actions, direct and semidirect products, the Sylow theorems, rings, integral domains, fields, field extensions, and Galios Theory. The required preparation for this course is an undergraduate major in Mathematics or Mathematics Education

Fall: Department Discretion  Spring: Department Discretion  Summer Department Discretion
MATH 545  Advanced Geometry  Credits: 3

This course reviews Euclidean, synthetic, analytic, plane and solid geometry, then compares Euclidean geometry to the more recent developments in geometry dealing with non-metric properties. Projective geometry, affine geometry, and topological geometry are used as examples of non-Euclidean systems. The required preparation for this course is an undergraduate major in mathematics or mathematics education.

Summer Even Years
MATH 550  Real Analysis  Credits: 3

Topics include: metric spaces, compactness, countability, convergence, continuity, uniform convergence and continuity, differentiation, and integration. The objective of this course is to provide a foundation in the mathematical analysis behind the Calculus. The required preparation for this course is an undergraduate major in Mathematics or Mathematics Education

Summer Even Years
MATH 560  Applied Linear Algebra  Credits: 3

An extension of the usual material presented in an undergraduate course in Linear Algebra. Topics include vector spaces and linear transformations, algebra of polynomials, invariant subspaces, LU, QR and singular value decompositions, symmetric, positive definite, and Hermitian matrices, inner product spaces, and the spectral theorem. The required preparation for this course is an undergraduate major in mathematics or mathematics education.

Spring: Department Discretion
MATH 586  Selected Topics in Mathematics  Credits: 1-3

A study of more advanced topics in mathematics not normally provided as part of the curriculum.

Fall: Department Discretion  Spring: Department Discretion  Summer Department Discretion
MATH 589  Special Topics in Mathematics  Credits: 1-4

Advanced interdisciplinary study of Mathematics. Student may use interdisciplinary research involving Mathematics, and/or Statistics, projects, paper review, or other experiences outside the classroom in real world situations as credit for prior learning towards the 18 graduate credits requirement in Mathematics.

Fall: Department Discretion  Spring: Department Discretion  Summer Department Discretion
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