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MATH - Mathematics |
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MATH 0097. Developmental Math 1
(4-0-(4)) Review of basic mathematics and introductory algebra with emphasis on applications, including linear functions and related topics. Non-degree credit.
MATH 0098. Developmental Math 2 (4-0-(4)) Prerequisite: MATH 0097 or required COMPASS score. Review of essential topics of basic algebra with emphasis on applications, including linear and quadratic functions and related topics. Non-degree credit.
MATH 0195. Preparatory Algebra (4-0-(4)) Prerequisite: Math Placement Test. A preparatory mathematics course for regularly admitted students (not assigned to Basic Studies) whose math placement test score makes them ineligible to take MATH 1101 or MATH 1111 until they have received remediation. Topics include operations with real numbers, equations and inequalities, functions and their graphs, and systems of equations. Non-degree credit.
MATH 1101. Mathematical Modeling (3-0-3) Prerequisite: MATH 0195 or satisfactory math placement score. This course is an introduction to 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, supported by the use of appropriate technology, and on effective communication of quantitative concepts and results.
MATH 1111. College Algebra (3-0-3) Prerequisites: MATH 0195 with a
grade of C or better or satisfactory Mathematics Placement Test score.
This course is a functional approach to algebra that incorporates the
use of appropriate technology. Emphasis will be placed on the study of
functions, and their graphs, inequalities, and linear, quadratic,
piece-wise defined, rational, polynomial, exponential, and logarithmic
functions. Appropriate applications will be included.
MATH 1113. Pre-Calculus (3-0-3) Prerequisite: MATH 1111 with a grade of C or better or an appropriate math placement score. This course is designed to prepare students for calculus, physics, and related technical subjects. Topics include algebraic and transcendental functions and an intensive study of trigonometric functions.
MATH 1125. Applied Calculus (3-0-3) Prerequisite: MATH 1111 with a grade of C or better, MATH 1113 with a grade of C or better, or an appropriate math placement score. Introduction to limits and continuity, differential calculus of algebraic, exponential, and logarithmic functions and integration. Applications in the fields of the behavioral, biological, and managerial sciences are included.
MATH 1127. Introductory Statistics (3-0-3) Prerequisite: Satisfactory score on math placement exam or completion of Area A math course with a grade of C or better. Survey of modern statistical methods applicable to behavioral, biological, health and managerial sciences, and education. Organization and analysis of data, probability distributions, sampling distributions, point estimation, confidence interval, hypothesis testing, and regression analysis.
MATH 1131. Calculus with Analytic Geometry 1 (4-0-4) Prerequisite:
MATH 1113 with a grade of C or better or an appropriate math placement score.
Topics include exponential and logarithmic functions, introduction to
limits and derivatives, computation and application of derivatives, and
the definite integral.
MATH 1132. Calculus with Analytic Geometry 2 (4-0-4) Prerequisite:
MATH 1131 with a grade of C or better. Topics include the definite and
indefinite integrals, improper integrals, techniques of integration,
applications of integration, and infinite sequences and series.
MATH 1165. Computer-Assisted Problem Solving (3-0-3) Prerequisite or Co-requisites: MATH 1125 or MATH 1131. Problem solving using contemporary technology such as graphing calculators, spread sheets, and computer algebra systems. Topics may include interpolation; linear regression; elementary differential models; and an introduction to the fundamentals of computer algebra systems, including manipulation of lists, sets, data structures, functions, plots, and program control structures.
MATH 2008. Foundations of Numbers and Operations (3-0-3) Prerequisite Completion of Area A mathematics requirement. An exploration of number systems (whole numbers, integers, rational numbers (fractions) and real numbers), the relationships between these systems. Understanding operations, including why standard computational algorithms work. Problem solving using multiple strategies and appropriate technology. This course will not count for mathematics minors or majors.
MATH 2115. Introduction to Linear Algebra (3-0-3) Prerequisite or Co-requisite: MATH 1131. Systems of linear equations, matrix algebra, vector spaces, bases for a vector space, linear transformations, eigenvalues and eigenvectors, and matrix decompositions.
MATH 2125. Introduction to Discrete Mathematics (3-0-3)
Prerequisites: MATH 1113 or MATH 1131 with a grade of C or better or a satisfactory
math placement score. Topics include
logic and proof, sets, functions, algorithms, the integers, matrices,
mathematical reasoning, induction, recursion, counting, discrete
probability, relations, graphs, trees, and Boolean algebra.
MATH 2131. Nature and Use of Numbers 1 (3-0-3) Prerequisite: Satisfactory score on math placement exam or completion of Area A math course with a grade of C or better. An exploration of basic concepts and operations of rational numbers and generalizations to algebra. Problem solving. Appropriate technology will be used. This course will not count for mathematics minors or majors or for secondary mathematics education majors.
MATH 2135. Calculus with Analytic Geometry 3 (4-0-4) Prerequisite:
MATH 1132 with a grade of C or better. Topics include parametric
equations and polar coordinates, vectors, dot and cross products, vector
functions of one real variable, real valued functions of several
variables, differential calculus of functions of several variables, and
multiple integrals.
MATH 3105. Vector Analysis (3-0-3) Prerequisite: MATH 2135 with a grade of C or better. This course covers material from vector calculus used in physics and in engineering. Topics will include line, surface, and volume integrals; vector fields, gradients, divergence, and curl; the theorems of Green, Gauss, and Stokes; generalized orthogonal coordinates; and selected applications from physics and engineering.
MATH 3106. Mathematical Theory of Interest (3-0-3) Prerequisite:
Math 1132 with a grade of C or better. Measurement of interest, time value of money, annuities,
amortization and sinking funds, bonds, depreciation, capitalized cost and
finance applications including net present value, yield rates, and stock
and option pricing.
MATH 3107. Differential Equations (3-0-3) Prerequisite: MATH 1132 with a grade of C or better and MATH 2115 with a grade of
C or better. Analytic, qualitative, and numerical techniques for ordinary differential equations. Eigenvalue method and matrix exponential for solving linear systems. Laplace transform methods. Use of appropriate software and technology.
MATH 3108. Introduction to Actuarial Science (3-0-3)
Prerequisite: MATH 3175 with a grade of C or better. An introduction to risk management in
property/casualty and life insurance. Applications of calculus.
Applications of probability.
MATH 3131. Nature and Use of Numbers 2 (3-0-3) Prerequisite: MATH 2131 with a grade of C or better and admission to a Teacher Education Program. An exploration of basic concepts and operations of real numbers and generalizations to algebra. Problem solving. Appropriate technology will be used. This course will not count for mathematics minors or majors or secondary mathematics education majors.
MATH 3135. Data Analysis, Statistics and Probability (3-0-3) Prerequisite: MATH 2131 with a grade of C or better and Admission to Early Childhood Teacher Education Program. An exploration of data collection, data representation, data analysis, and probability. This course will not count for mathematics minors of majors or secondary mathematics education majors.
MATH 3136. Exploring Geometry and Measurement (3-0-3) Prerequisite: MATH 2131 with a grade of C or better and Admission to Early Childhood Teacher Education Program. An exploration of geometry and measurement topics through the use of a variety of tools. Topics include formal definitions, elementary constructions, ratio and proportion, and area and volume. This course will not count for mathematics minors or majors or for secondary mathematics education majors.
MATH 3137. Investigative Geometry and Measurement (3-0-3) Prerequisite: Math 3131. An exploration of geometry and measurement topics through the use of a variety of tools. Course focuses on generating hypotheses and using deductive reasoning to test hypotheses. This course will not count for mathematics minors or majors or for secondary mathematics education majors.
MATH 3138. Exploring Statistics (3-0-3) Prerequisite: MATH 1113 or MATH 3131 or Admission to the Secondary Mathematics Education Program. An exploration of various concepts in probability and statistics. Topics include experimental and theoretical probabilities, probability distributions, sampling, hypothesis testing, correlation and analysis of variance. Appropriate statistical software will be used in this course.
MATH 3155. Foundations for Advanced Mathematics (3-0-3) Prerequisite:
MATH 1132 with a grade of C or better. Preparation in mathematical reasoning and proof-writing
necessary for upper division course work in mathematics. Topics include
fundamentals of logic, techniques of proof, sets and relations,
equivalence relations and partitions, mathematical induction, and
functions (including injectivity and surjectivity).
MATH 3175. Introduction to Probability (3-0-3) Prerequisite: MATH 1132 with a grade of C or better. Topics include counting techniques, discrete and continuous random variables, discrete, continuous and multivariate probability distributions, and functions of random variables. Appropriate uses of technology will be implemented to analyze data and to simulate random variables from specified probability distributions. Applications of probability.
MATH 3555. Advanced Topics in Mathematics (3-0-3) Prerequisite: MATH 3137. An exploration of various selected topics in mathematics, such as polynomial functions, conics, right triangle trigonometry, limits, sequences, rate of change, discrete mathematical models, and iterative and recursive techniques. This course will not count for mathematics minors, or majors or secondary mathematics education majors.
MATH 3556. Selected Topics in Mathematics (3-0-3) Prerequisite: Consent of the instructor. This course provides an opportunity for faculty to propose study of topics not normally available to students in existing curricula. Topics for this course will vary.
MATH 4195. Undergraduate Research (3-0-3) Prerequisite: Math 3155 with a grade of C or better and consent of the Department Chair. Student selection of a research topic, completion of a written research proposal, and in association with a faculty mentor, the execution of the research plan. Each student will prepare both written and oral presentations of the work, and where appropriate, students will be encouraged to make presentations at regional or professional meetings, or submit work to a journal for publication.
MATH 4555. Selected Topics in Mathematics for Teachers (3-0-3) Prerequisites: MATH 1101 and MATH 1113. Topics will be suitable for elementary and middle school teachers. Mathematics majors may not receive credit for this course.
MATH 4795. Senior Seminar in Mathematics (2-0-2) Prerequisites:
MATH 3155 with a grade of C or better and Senior Standing. Readings and presentations in selected
topics in mathematics. May be repeated for credit.
MATH 5111. Introduction to Abstract Algebra 1 (3-0-3) Prerequisite:
MATH 3155 with a grade of C or better. Groups, subgroups, group homomorphisms, and Lagrange's Theorem.
MATH 5112. Introduction to Abstract Algebra 2 (3-0-3) Prerequisite: MATH 5111 with a grade of
C or better. A continuation of group theory as well as study of rings, integral domains, and fields.
MATH 5114. Set Theory (3-0-3) Prerequisite:
MATH 1132 with a grade of C or better. This course is an introduction to intuitive set theory. Topics include sets, operations for sets, relations, equivalence relations, functions, ordering relations, natural numbers, cardinal numbers, and countable sets. Emphasis will be placed on the extension of the natural numbers to the real numbers. This includes Cantor�s definition of the real numbers and a detailed study of the properties of the real numbers.
MATH 5116. Number Theory (3-0-3) Prerequisite: MATH 3155 with a grade of C or better. Congruences, algebraic number fields, and prime number theorems.
MATH 5117. Applied Multivariate Analysis (3-0-3) Prerequisites: MATH 1127 and MATH 2115 with a grade of C or better. Applied multivariate methods, sample correlations, multivariate date plots, eigenvalues and eigenvectors, principle components analysis, factor analysis, discriminant analysis, logistic regression methods, cluster analysis, mean vectors and variance-covariance matrices, multivariate analysis of variance, prediction models.
MATH 5118. Applied Nonparametric Methods (3-0-3) Prerequisites:
MATH 1127 and MATH 3175. Rank tests of comparing two treatments, comparing
two treatments or attributes in a population model, blocked comparisons
for two treatments, paired comparisons in a population model and the
one-sample problem, the comparison of more than two treatments, randomized
complete blocks, tests of randomness and independence.
MATH 5119. Applied Categorical Data Analysis (3-0-3) Prerequisites: MATH 1127 and MATH
3175, both with a grade of C or better. Sampling distributions, two by two contingence tables, Simpson's paradox and 2�3 Tables, Goodman's full rank interaction analyzed for two way tables, further examples and extensions, conditional independence models for two-way tables, further topics.
MATH 5121. Actuarial Mathematics 1 (3-0-3) Prerequisite: MATH
3108 with a grade of C or better. An introduction to risk management in property/casualty and life
insurance. Survival distributions, life insurance, life annuities, benefit
premiums and reserves, multiple life and decrement models of calculus.
Applications of probability.
MATH 5122. Actuarial Mathematics 2 (3-0-3) Prerequisite:
MATH 5121 with a grade of C or better. Individual and collective risk models, compound distributions,
including applications such as stop-loss reinsurance.
MATH 5125. Discrete Mathematics (3-0-3) Prerequisites: MATH 1132 with a grade of C or better or MATH 2125 with a grade of C or better. Topics include enumeration, relations, graphs, trees, and modeling computation.
MATH 5135. College Geometry (3-0-3) Prerequisite: MATH 1132
with a grade of C or better. Axiomatic development of plane geometry and discussion of non-Euclidean geometry.
MATH 5151. Introduction to Real Analysis 1 (3-0-3) Prerequisite: MATH
3155 with a grade of "C" or better. Topology of
real line, sequences, convergent sequences, monotone sequences, Cauchy sequences, limits of functions, continuous functions, the derivative, the Mean Value Theorem, L'Hospital's rule, and Taylor's theorem.
MATH 5152. Introduction to Real Analysis 2 (3-0-3) Prerequisite: MATH 5151 with a grade of "C" or better. The Riemann Integral, the properties of the Riemann Integral, the Fundamental Theorem of Calculus, Infinite Series, convergence of infinite series, convergence tests, power series, sequences and infinite series of functions.
MATH 5165. Numerical Analysis (3-0-3) Prerequisites: MATH 3155
with a grade of C or better and MATH 1165 with a grade of C or better.
Use of computers to solve mathematical problems. Topics may include root
finding, interpolation, numerical differentiation and integration,
solutions to initial value problems in ordinary differential equations.
Error analysis. Use of appropriate software and technology.
MATH 5166. Game Theory (3-0-3) Prerequisites: MATH 2115 and MATH
3175, both with a grade of C or better. Two and N-Person games, Solution concepts and methods, applications.
Use of appropriate technology.
MATH 5175. Mathematical Statistics (3-0-3) Prerequisite: MATH 3175 with a grade of C or better. Statistical inference, estimation, tests of statistical hypotheses, multivariate distributions, linear regression. Appropriate computational devices and statistical software will be used.
MATH 5176. Statistical Design and Analysis of Experiments (3-0-3) Prerequisite: MATH 1127 and MATH 3175 with a grade of C or better in both courses. Completely randomized designs, treatment comparisons, diagnosing agreement between the data and the model, experiments to study variances, factorial treatment design and applications. Appropriate statistical software will be used.
MATH 5177. Applied Regression Analysis (3-0-3) Prerequisite: MATH 1127 and MATH 3175 with a grade of C or better in both courses. Simple and multiple regression, transformation of variables, diagnostic procedures, analysis of variance and residuals, comparison of two multiple regression models, calibration and regulation for linear regression, linear splines, subset analysis and variable selection, nonlinear regression. Appropriate statistical software will be used.
MATH 5185. History of Mathematics (3-0-3) Prerequisite: MATH 1132 with a grade of C or better. This course is designed to acquaint the student with the development of the discipline of mathematics in various cultures from antiquity to modern times. Special emphasis will be given to the evolutionary and Multicultural character of the principal ideas of modern mathematics.
MATH 5555. Selected Topics in Mathematics (3-0-3) Prerequisite:
MATH 3155 with a grade of C or better. Topics for this course will vary. May be repeated for credit
with consent of the advisor and if topics are different.
MATH 6505. Selected Topics in Mathematics for Teachers (3-0-3) Prerequisite: Approval of Department Chair. Topics will be suitable for elementary and middle school teachers. Mathematics majors may not receive credit for this course.
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