# Courses

A study of the basic terminology and methods of elementary statistics including organization of data, measures of central tendency and dispersion, sampling theory, estimation and testing of hypotheses. Also includes an introduction to correlation and linear regression.

Students may not receive credit in both MAT 102 and MAT 201.

Credit Hours: 3

An introduction and the application of the concepts of probability to games of chance, including poker, roulette, blackjack and others.

Credit Hours: 3

Lewis Carroll is best-known as the author of Alice in Wonderland, but he was also a mathematician at Oxford University. He was particularly interested in recreational mathematics, logic, and geometry; those interests are apparent in Alice. In addition to Wonderland and Looking-Glass, this course includes Carroll’s Game of Logic and numerous other games, puzzles, and tricks connected with him.

Credit Hours: 3

This course is designed for students who have mastered the basic skills of arithmetic and elementary algebra, but are not adequately prepared for Business Calculus I (MAT 107) or Precalculus (MAT 109). Topics include exponents; scientific notation; graphing; polynomial arithmetic and factoring; linear, fractional, and quadratic expressions and equations; linear equalities; measurement geometry; and trigonometry.

Course does not satisfy the mathematics requirement in the distribution component.

Credit Hours: 4

An introduction to calculus with primary emphasis on applications to business and economics. Topics include algebra, problem solving, functions including exponential and logarithmic, mathematics of finance, systems of linear equations, differentiation and applications of differentiation.

Credit Hours: 4

A study of integral calculus with emphasis on applications to business and economics. Topics include integration, applications of integration, partial derivatives, applications of partial derivatives, systems of equations, matrix algebra, and linear programming.

Credit Hours: 4

A study of basic properties of algebra and trigonometry together with algebraic functions, transcendental functions, and analytic geometry. Emphasis will be on providing students with the background necessary to begin the formal calculus sequence.

Credit Hours: 4

A study of functions, limits, continuity, differentiation, applications of differentiation and an introduction to integration.

Credit Hours: 4 / Prerequisites: MAT 109 or placement test

A study of integration, techniques of integration, applications of

integration and an introduction to infinite sequences and series.

Credit Hours: 4 / Prerequisites: MAT 111

A completely integrated computer-based course in which Excel is used to study statistical methods as applied to business, including descriptive statistics, probability sampling, hypothesis testing and statistical inference.

Students may not receive credit in both MAT 102 and MAT 201.

Credit Hours: 3 / Prerequisites: CIS 232. MAT 107 suggested as a co-requisite

A continuation of MAT 102 including estimating and testing the difference between means, proportions and variances. An introduction to analysis of variance, regression analysis and nonparametric statistics.

Students may not receive credit in both MAT 202 and BUS 231.

Credit Hours: 3

A study of vectors, vector algebra, analytic geometry in three-space, partial differentiation, multiple integration, sequences and series.

Credit Hours: 4

An introduction to the solution and application of ordinary differential equations.

Credit Hours: 3

A study of the algebra of sets, relations, functions, cardinality, selected topics of number theory, prepositional logic and number systems.

Credit Hours: 3

A study of vector spaces, linear transformations, matrices, systems of linear equations and determinants.

Credit Hours: 4

A look at the topics of K-5 mathematics including, numbers and operation of whole through rational numbers, algebraic thinking, geometry, measurement, and data analysis with an emphasis on understanding the mathematical concepts being taught. Students must demonstrate proficiency in the basic arithmetic and geometry skills covered in the course. Course is intended for students anticipating careers in elementary education.

Credit Hours: 3 / Prerequisites: LSK 100 or equivalent as measured by performance on the Niagara University mathematics placement test

A study of simple and compound interest, bank discount, annuities, amortization, depreciation, perpetuities and bonds.

Credit Hours: 3

An introduction to mathematical problem solving. Primary focus

will be using geometry, trigonometry, probability and calculus to

model various topics from business, biology, physics, social sciences,

engineering and recreational mathematics.

Credit Hours: 3

Discrete Mathematics covers topics dealing with discrete or countable sets (as opposed to continuous sets). Topics of study will be selected from combinatorics, discrete probability, graph theory, the theory of computation, codes, partially ordered sets, lattice theory, number theory, and discrete geometry. Problem solving and proof writing are important skills which will be developed in this course.

Credit Hours: 3

A more rigorous approach to the basic concepts of Calculus I, II

and III: limits, derivative, integral, and series.

Credit Hours: 3

A more in-depth study of the topics of Analysis I, especially

generalization to Rn and consequences thereof.

Credit Hours: 3

An introduction to the basic structures of modern abstract algebra:

groups, rings, integral domains and fields.

Credit Hours: 3

Numerical analysis covers a large interface between computer

science and applied mathematics. It is concerned with such areas as

solution of “hard” computational problems, approximation, analysis

of error, and the development of fast algorithms. Topics of study will

be selected from these areas. Facility in a high-level programming

language is required.

Credit Hours: 3 / Prerequisites: MAT 221 and permission of instructor

A look at the topics of 5-8 mathematics including, numbers and operation of rational through real numbers, algebra, geometry, measurement, and probability with an emphasis on understanding the mathematical concepts being taught. Students must demonstrate proficiency in the basic arithmetic and geometry skills covered in the course. Course is intended for students anticipating careers in elementary or middle school education.

Credit Hours: 3 / Prerequisites: MAT 251 or 227 or permission of instructor

Individual research of a substantive nature pursued in the student’s major field of study. The research will conclude in a written thesis or an original project, and an oral defense.

Successful completion of MAT 404 (not MAT 403) will fulfill the MAT 499 requirement.

Credit Hours: 6

An introduction to probability including probabilistic experiments and their sample spaces, random variables and their probability distributions, and functions of random variables and their properties. An introduction to the methods of inferential statistics.

Credit Hours: 3

A continuation of the methods of inferential statistics. Topics

include introductory sampling theory, estimation, confidence

intervals and hypothesis testing, experimental design, and analysis of

variance. Some nonparametric statistics also introduced.

Credit Hours: 3

A study of complex numbers, complex sequences, complex functions, analytic functions, differentiation and integration of complex functions and conformal mapping.

Credit Hours: 3

A study of the foundations of geometry including transformations,

deductive and inductive reasoning and an introduction to non-

Euclidean geometries.

Credit Hours: 3 / offered spring semesters

An introduction to the history of mathematics emphasizing the evolution of basic concepts ranging from primitive number systems through the foundations of set theory. These concepts will be studied via pertinent problems and the tools available for their solution when they were originally introduced.

Credit Hours: 3 / offered fall semesters

The independent study elective provides a student with an opportunity to do in-depth work in an area of particular interest. Departmental approval necessary.

Credit Hours: 1

The independent study elective provides a student with an opportunity to do in-depth work in an area of particular interest. Departmental approval necessary.

Credit Hours: 2

The independent study elective provides a student with an opportunity to do in-depth work in an area of particular interest. Departmental approval necessary.

Credit Hours: 3

A study of selected topic(s) in mathematics. Offered upon demand of a sufficient number of students.

Credit Hours: 3

A junior or senior work-study program providing relevant employment experience. Registration will occur at the beginning of the experience. The objective of the program is to integrate classroom theory and practical work experience, thus lending relevancy to learning and providing the student with a realistic exposure to career opportunities. Students interested in an internship or co-op should talk to their adviser.

A study of selected topics in various fields of mathematics, with emphasis on search of the literature and/or original investigation.

Credit Hours: 3

A completely integrated computer based course in which software is used to study statistical relationships between several variables. The topics include multiple regression, ANOVA, design of experiments and logistic regression. A comprehensive project will evaluate students’ ability to collect and analyze data.

Credit Hours: 3 / offered fall semesters / Prerequisites: Two semesters of statistics.

This course will discuss how to analyze data when the distribution of the data is unknown. Topics include bootstrap estimation, analysis of contingency tables, and rank based tests. Computer software will be used extensively. Students will do a research project and analyze the data they have collected.

Credit Hours: 3 / offered spring semesters / Prerequisites: Two semesters of statistics.

In this course, students will learn how to analyze real data. Students will find another faculty member or corporation to work with and analyze their data. Students will write a proposal, analyze the data, and present their results both orally and in written form.

Credit Hours: 3