Niagara University

MAT 102 - Introductory Statistics (MAT/AS): 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
MAT 104 - Probability and Games of Chance (MAT/AS): An introduction and the application of the concepts of probability to games of chance, including poker, roulette, blackjack and others.
Credit Hours: 3
MAT 105 - Math Through the Looking Glass (MAT/AS): 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
MAT 106 - Introduction to College Mathematics: 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
MAT 107 - Business Calculus I (MAT/AS): 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
MAT 108 - Business Calculus II (MAT/AS): 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
MAT 109 - Precalculus (MAT/AS): 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
MAT 111 - Calculus I (MAT/AS): A study of functions, limits, continuity, differentiation, applications of differentiation and an introduction to integration.
Credit Hours: 4 / Prerequisites: MAT 109 or placement test
MAT 112 - Calculus II (MAT/AS): A study of integration, techniques of integration, applications of
integration and an introduction to infinite sequences and series.
Credit Hours: 4 / Prerequisites: MAT 111
MAT 201 - Business Statistics I (MAT/AS): 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
MAT 202 - Statistics II (MAT/AS): 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
MAT 221 - Calculus III (MAT/AS): A study of vectors, vector algebra, analytic geometry in three-space, partial differentiation, multiple integration, sequences and series.
Credit Hours: 4
MAT 222 - Differential Equations (MAT/AS): An introduction to the solution and application of ordinary differential equations.
Credit Hours: 3
MAT 227 - Foundations of Mathematics (MAT/AS): A study of the algebra of sets, relations, functions, cardinality, selected topics of number theory, prepositional logic and number systems.
Credit Hours: 3
MAT 228 - Linear Algebra (MAT/AS): A study of vector spaces, linear transformations, matrices, systems of linear equations and determinants.
Credit Hours: 4
MAT 251 - Mathematics for Elem. School Teachers (MAT/AS): 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
MAT 305 - Mathematics of Finance (MAT/AS): A study of simple and compound interest, bank discount, annuities, amortization, depreciation, perpetuities and bonds.
Credit Hours: 3
MAT 320 - Mathematical Modeling (MAT/AS): 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
MAT 327 - Discrete Mathematics (MAT/AS): 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
MAT 331 - Analysis I (MAT/AS): A more rigorous approach to the basic concepts of Calculus I, II
and III: limits, derivative, integral, and series.
Credit Hours: 3
MAT 332 - Analysis II (MAT/AS): A more in-depth study of the topics of Analysis I, especially
generalization to Rn and consequences thereof.
Credit Hours: 3
MAT 333 - Algebraic Structures I (MAT/AS): An introduction to the basic structures of modern abstract algebra:
groups, rings, integral domains and fields.
Credit Hours: 3
MAT 342 - Numerical Analysis (MAT/AS): 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
MAT 351 - Mathematics for Elem. School Teachers (MAT/AS): 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
MAT 403 and 404 - Honors Thesis I and II (WI): 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
MAT 435 - Probability and Statistics I (MAT/AS): 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
MAT 436 - Probability and Statistics II (MAT/AS): 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
MAT 442 - Introduction to Complex Variables (MAT/AS): A study of complex numbers, complex sequences, complex functions, analytic functions, differentiation and integration of complex functions and conformal mapping.
Credit Hours: 3
MAT 443 - Euclidean Geometry (MAT/AS): 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
MAT 451 - History of Mathematics (MAT/AS): 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
MAT 481 - Independent Study in Mathematics: 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
MAT 482 - Independent Study in Mathematics: 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
MAT 483 - Independent Study in Mathematics: 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
MAT 490 - Topics Course (MAT/AS): A study of selected topic(s) in mathematics. Offered upon demand of a sufficient number of students.
Credit Hours: 3
MAT 493, 494, 495, 496 - Mathematics Internship/Co-op: 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.
MAT 499 - Mathematics Seminar (WI): A study of selected topics in various fields of mathematics, with emphasis on search of the literature and/or original investigation.
Credit Hours: 3
STA 301 - Linear Models (MAT/AS): 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.
STA 305 - Nonparametric Statistics (MAT/AS): 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.
STA 499 - Statistics Internship: 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

Courses

Mathematics