Mathematics (MATH)

Covers polynomials, exponents, linear and quadratic equations and inequalities relations, functions, lines, graphs, and rational functions. Prerequisite: One year of high school algebra and one year of high school geometry. (Note: MATH 099 Intermediate Algebra may not be taken for graduation credit).

A course for the non-major focusing on mathematical reasoning through the exploration of important mathematical concepts. Topics will be chosen from the following: geometry; number theory; logic/set theory; probability and statistics; graph theory; linear programming; game/decision theory; mathematics of finance. Prerequisite may be met with H.S. Geometry.

Surveys methods for describing data numerically and graphically. Explores relationships between quantitative variables using correlation and least-squares regression. Presents an overview of the data-collection process. Covers basic probability theory needed for understanding statistical inference. Inferential techniques such as interval estimation and tests of hypotheses will be explored. Prerequisite may be met with H.S. Geometry.

Is intended for the elementary education major. It presents the mathematical concepts underlying the basic operations for whole numbers, integers, rational numbers, and real numbers. The course includes a study of numeration systems, bases, basic number theory, functions, measurement and geometry. Prerequisite may be met with H.S. Geometry.

Is a continuation of MATH 108 and is intended for the pre-service elementary teacher. The course includes a study of probability, introductory statistics, Euclidean geometry and constructions, the geometry of motion, tessellations, measurement, and Cartesian coordinate graphing.

Reviews relations, functions, linear and quadratic equations and logarithms; covers theory of equations, complex numbers, matrix theory, sequences and series, binomial theorem, math induction and conic sections. Prerequisite may be met with H.S. Geometry.

Reviews matrix algebra and solution of systems of equations using matrices. This course covers other matrix applications, linear programming, set theory, probability, stochastic processes, game theory, and Markov chains emphasizing applications in business and economics.

This is a standard pre-calculus course. Topics include a review of algebra; a study of functions and graphs including polynomials, rational functions, exponential and logarithmic functions; a complete introduction to trigonometry; and systems of equations and inequalities.. Prerequisite may be met with H.S. Geometry.

Covers limits and continuity; derivatives and integrals of algebraic, logarithmic, and exponential functions. Special attention is given to applications in the life sciences and business.

Surveys descriptive measures of central tendency, dispersion, and association, along with graphical techniques for describing data. Generation of data through surveys and experiments is discussed. The inference techniques of interval estimation and tests of hypotheses will be discussed in detail. The Chi-square test, analysis of variance, and inference for regression will also be addressed.

Addresses functions, limits, continuity, derivatives, integrals, integration techniques, trigonometric and hyperbolic functions and applications.

Is a continuation of MATH 181, and further addresses differentiation and integration techniques, polar coordinates, improper integrals, L' Hopital's Rule and power series.

Covers calculus of functions of several variables; potential functions; maxima and minima; line integrals; multiple integrals; Green's and Stokes' Theorems; Taylor series of several variables.

Covers vectors, matrix operations, determinants, linear functions, vector spaces and subspaces, basis and dimension, linear transformations, inner product spaces, and applications.

Covers ordinary differential equations of first order, applications, linear differential equations, simultaneous linear differential equations, Laplace Transforms, numerical techniques, and series solution of differential equations.

Provides for the study of selected topics not included in the regular curriculum. It may be repeated for credit if the content changes substantially.

Examines the topics of measurement of interest, including accumulated and present value, annuities, yield rates, amortization schedules and sinking funds, and bonds.

Surveys the growth and contributions of mathematics to knowledge and learning from ancient times to the mid-17th century. Development of mathematics is traced through study of mathematicians and their ideas.

Surveys the growth and contributions of mathematics to knowledge and learning from the mid-17th century to present day. The development of mathematics is traced through study of mathematicians and their ideas.

Begins with the foundations of logic and mathematical reasoning, deductive and inductive proof. The study of discrete structures may include set theory, functions, relations, number theory, matrices, combinatorics, algorithms, recursion, graph theory, trees, Boolean algebra, and computation models.

Is an introduction to Data Science. Students will learn how to access data (both structured and unstructured) from the internet, then “clean” and organize it into tables and graphs. They will explore ways of finding patterns in the data and to make predictions about future data. Detailing processes and communicating results will be emphasized. An open-source programming language (e.g., Python or R) will be employed.

Is a calculus-based coverage of set-theoretic probability, random variables, discrete and continuous probability distributions, mathematical expectation, and multivariate probability distributions.

Is a continuation of MATH 331. Covers sampling distributions, the central limit theorem, point and interval estimation, hypothesis testing, and goodness of fit. Nonparametric methods will also be addressed.

Covers the foundations of Euclidean Geometry based on axioms equivalent to those of Hilbert. The course includes an introduction to non-Euclidean Geometries.

Presents the quantitative modeling techniques of linear programming, dynamic programming, queuing theory, and simulation.

Includes a study of inference, diagnostics, and remedial measures for both simple and multiple linear regression; polynomial regression; model building; single- and two-factor analysis-of-variance; and experimental design.

Includes a rigorous discussion of real numbers, infinite sets, point set topology, sequences of functions, continuity and Riemann integrals.

Covers binary operations, groups, subgroups, permutations, cyclic groups, cosets, normal subgroups, homomorphisms, and isomorphisms.

Covers computational methods for error estimation, solution of nonlinear equations and systems of linear equations, finite difference calculus, numerical differentiation and integration.

Is a prerequisite service course for prospective teachers of junior high school mathematics. The course includes an examination of mathematics curriculum, instructional techniques, the preparation of lessons, motivation techniques, design of homework assignments, preparation of tests, evaluation of student performance, and classroom organization in the junior high school setting. Microteaching and videotaping will be utilized for self-observation and evaluation.

Examines methods and techniques of teaching mathematics to middle grades and high school students. Focus will be upon adapting discipline specific knowledge into engaging lessons, use of technology, delivery methods, differentiation, instructional planning, and assessment procedures. Classroom organization and management, relevant content and instructional standards, and professional development will also be addressed.

Provides an introduction to mathematical research methods, with the express purpose of transitioning the student to the Senior Seminar course the following term. This course will focus on exploring mathematical topics, reading the mathematical literature, and writing about one’s understanding of the material. Library and internet source material will be utilized. At completion, the student will have identified a suitable topic for his/her senior paper with an initial outline and bibliography.

Offers seniors the opportunity to research and present topics of special interest not previously covered in depth by a mathematics course. Topics may be from analysis, algebra, geometry, history of mathematics, probability and statistics, or applied mathematics. Journal articles will be read and discussed. In addition, Major Portfolios will be assembled and evaluated as a significant portion of the grade awarded.

Is a title given to a course which covers specific themes, practices, and subject content not currently offered in the curriculum. This course is directed primarily to student majoring in the subject area and could be used to complete major requirements. The course will provide an in-depth study of a specific topic.

An academic learning experience in which the student initiates designs, and executes the course under the supervision of the instructor.

An academic learning experience in which the student initiates designs, and executes the course under the supervision of the instructor.