Course Descriptions

Mathematical Sciences (BS)

Mathematical Sciences (BS) Course Descriptions

Mathematics Prefix: MAT

  • This course prepares a student to take MAT 091. A variety of individualized strategies are used, including programmed materials, computer-aided instruction, and one-on-one tutoring. Does not fulfill distribution or degree requirements. Placement in this course is by appropriate score on the placement test. CR/NC option only.

  • Introduction to algebra, exponents, polynomials, factoring, solving linear and graphing linear equations, and inequalities in two variables. Emphasis on problem solving skills. The course prepares students for MAT 107 or 152 and does not fulfill distribution or degree requirements. CR/NC option available. Placement in this course is by appropriate score on the math SAT or ACT test or by a skills assessment.

  • Basic properties of real and complex numbers, factoring polynomials, synthetic division, equations and inequalities, coordinates and graphs, graphs of lines and circles, systems of equations. The course prepares students to take Precalculus courses, but does not fulfill distribution or degree requirements. CR/NC option available. Prerequisite: MAT 091 or appropriate Math SAT or ACT score.

  • Basic properties of real and complex numbers, factoring polynomials, synthetic division, equations and inequalities, coordinates and graphs, graphs of lines and circles, systems of equations. The course prepares students to take Precalculus courses, but does not fulfill distribution or degree requirements. CR/NC option available. Prerequisite: MAT 091 or appropriate Math SAT or ACT score.

  • This survey course enables students to understand and appreciate the history and beauty of mathematics in the world around us. Topics include set theory, logic, graph theory, consumer mathematics, numeration systems, algebra, geometry, counting methods, probability, and statistics. This course meets the distribution requirements. Prerequisite: Placement is by the School's assessment instrument.

  • Nature and application of mathematics for liberal arts students. Topics selected from algebra, geometry, logic, numeration systems, probability and statistics. Prerequisite: MAT 091 or appropriate math SAT or ACT score or by a skills assessment.

  • Equations and inequalities; systems of equations and inequalities; exponential and logarithmic functions, and their graphs; vectors, matrices, linear programming. Prerequisite: MAT 095 or appropriate math SAT or ACT score.

  • Functions and their graphs; polynomial, algebraic, rational, exponential, and logarithmic functions; real zeros of functions; polynomial and rational inequalities; conic sections. Prerequisite: CR in MAT 095 or appropriate Math SAT or ACT score.

  • Trigonometric functions of angles; trigonometric identities, equations, and graphs; trigonometric applications; polar coordinates. Prerequisite: MAT 109 with a grade of C or above, or appropriate Math SAT or ACT score.

  • Sampling, tables and graphs, elementary probability, special discrete and continuous random variables, linear correlation and regression, contingency tables, hypothesis testing. Prerequisite: MAT 091 or satisfactory math SAT or ACT score.

  • In this introductory course students will develop an understanding of statistical methodology. Topics include descriptive statistics, probability, binomial and normal distributions, sampling distributions, confidence intervals, regression, correlation and hypothesis testing. This course meets the distribution requirements. Prerequisite: Placement is by the School's assessment instrument.

  • Contents to be determined each semester by the Department to meet needs of the program and/or of the students. Prerequisite: Departmental approval. (Occasional offering)

  • Informal plane and space geometry; measurements, perimeter, area, volume; metric system; congruence, similarity, constructions; translations, rotations, reflections, symmetries, tessellations; use of appropriate software. Emphasis on problem solving. Prerequisite: MAT 109 with a grade of C or above; education majors only.

  • Exploration of data manipulation. Programming basics for data handling, statistical analysis of data, probability, visualization of data. Students will explore core concepts of decision-making process through data examination.

  • Applications of calculus to business, social and behavioral sciences. Limits of functions, derivative as the rate of change, marginal cost, marginal revenue. Curve sketching, maximization and optimization, elasticity. Integration, density function, consumers and producers surplus, annuities, exponential and logistic growth. Not acceptable for the Mathematics or Computer Science major. Prerequisite: MAT 108 or appropriate math SAT or ACT score.

  • Limits of functions and approximation; differentiation and integration of elementary functions; maxima and minima applications. Prerequisite: MAT 110 with a grade of C or above, or appropriate math SAT or ACT score.

  • Advanced techniques of differentiation and integration; polar coordinates, sequences and series. Prerequisite: MAT 211 with a grade of C or above.

  • Multivariable calculus; functions of several variables; partial derivatives; multiple integration; theorems of Green, Gauss and Stokes; introduction to linear differential equations. Prerequisite: MAT 212 with a grade of C or above.

  • The course examines scientific and mathematical thought from an historical and philosophical per-spective. The connection among the disciplines of physics, mathematics, and chemistry will be high-lighted. The development of scientific thought throughout history will be studied and paradigm shifts will be emphasized.(Fall)

  • Continuation of MAT 152. Hypothesis testing, regression and correlation, chi-square and F distributions, nonparametric statistics. Emphasis on applications to social and behavioral sciences. Prerequisite: MAT 152 or equivalent.

  • Sets, counting, methods of proof. Logic. Relations, types of relations, functions, types of functions. Recursive functions. Prerequisite: MAT 110.

  • Contents to be determined each semester by the Department to meet needs of the program and/or of the students. Prerequisite: Departmental approval.

  • Functions, sequences, limits. Continuity, uniform continuity. Differentiation, integration, Taylor Polynomials. Prerequisite: MAT 213 or MAT 212 with a grade of B or higher.

  • Linear differential equations; systems of differential equations; solutions by series and by numerical methods; applications. Prerequisite: MAT 212.

  • Groups, Lagrange's theorem, homomorphisms. Rings, integral domains, field of quotients, polynomial rings, unique factorization domains. Fields and finite field extensions. Prerequisite: MAT 332

  • Systems of linear equations, matrices, vector spaces, linear transformations, determinants. Quadratic forms eigenvalues and eigenvectors. Prerequisites: MAT 211 and MAT 253.

  • Methodologies, tools, and techniques for the scientific manipulation of data sets. Data collection, warehousing, mining, and visualization. Descriptive, predictive, and prescriptive data analysis. Data applications in finance, economics, and STEM fields. Prerequisites: MAT-152 Elementary Probability and Statistics or any other statistics course approved by the department and CS-211 Computer Programming I or CS-231 Computer Science I.

  • Systems of linear equations, matrices, matrix operations. Graphs, lattices, Boolean algebras, regular expressions, finite state automata. Decidability, formal languages and grammars. Computational complexity. Prerequisite: MAT 253.

  • Analysis of data, histograms, measures of central tendency and of dispersion. Probability, normal curve. Statistical tests; hypothesis testing. This course is designed for science majors (Biology, Physics, Chemistry, Computer Science, Mathematical Sciences). Prerequisite: MAT 211.

  • Opportunity for extensive research in areas of special interest to the student. Prerequisites: Dean's and Department Chair's approval.

  • Investigation of an original research problem of special interest to the student; independent execution of specific work is pure/applied mathematics or library research under the direction of a selected faculty member. Students who have completed at least 1 credit of MAT 395 or PHY 395 in certain cases and with Chair's approval may register for MAT 495. Prerequisite: Approval of Instructor (Fall, Spring, Summer)

  • Probability spaces, distribution functions, central limit theorem, conditional probability. Prerequisite: MAT 213.

  • A survey of numerical and computational methods for solving algebraic problems. Zero location, maxima and minima, Newton's methods, vector and matrix operations, characteristic value problem, numerical approximation to differential equations. Use of computer algorithms and programming is involved. Prerequisites: MAT-314, MAT-332 and CS-211 or 231.

  • Opportunity for extensive research in areas of special interest to the student. Prerequisites: Dean's and Department Chair's approval.

  • Topics will be chosen according to student and faculty interest. Presentations of papers on original work or advanced material to be discussed under a faculty moderator. Prerequisites: Junior or senior standing and Department Chair's approval.

  • Investigation of an original research problem of special interest to the student; independent execution of specific work is pure/applied mathematics or library research under the direction of a selected faculty member. Students who have completed at least 1 credit of MAT 395 or PHY 395 in certain cases and with Chair's approval may register for MAT 495. Prerequisite: Approval of Instructor (Fall, Spring, Summer)

  • Practical experience within a professional setting. Prerequisite Seniors status (90+ credits hours); 2.50 overall GPA all documentation must be completed before the end of the semester preceding the internship. Prior approval of Department Chair and Dean required.

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