MAT - Mathematics

MAT 099 Basic Mathematics

No college credit. 3 credits of tuition charged.
Course Description: This course is designed to strengthen basic mathematical skills within problem-solving contexts. The course includes basic arithmetic operations, algebra, the number system, fundamental operations, and equations.

0 credits

MAT 099C Basic Mathematics (CAP)

Course Description: This course is designed to strengthen basic mathematical skills within problem-solving contexts. The course includes basic arithmetic operations, algebra, the number system, fundamental operations, and equations.

0 credits

MAT 100 Fundamental Mathematics

This course does not satisfy the core requirement in mathematics and can only be used for elective credit.

Course Description: This course is designed to strengthen basic mathematical skills within problem-solving contexts. This course includes the real number system, basic arithmetic and algebraic operations, algebra, equations, inequalities, financial mathematics and geometry.

Course Rotation: NYC:Fall;Spring;Summer PLV:Fall;Spring

2 credits

MAT 100C Fundamental Mathematics - (CAP)

This course does not satisfy the core requirement in mathematics.

Course Description: This course is designed to strengthen basic mathematical skills within problem-solving contexts. This course includes the real number system, basic arithmetic and algebraic operations, algebra, equations, inequalities, financial mathematics and geometry.

Course Rotation: Fall, Spring.

2 credits

MAT 102 Mathematics for Life

Students must fulfill the prerequisite or be placed into the course.

Course Description: Investigation and applications of appropriate mathematical subject matter drawn from algebra, combinatorics and probability, logic, statistics, financial mathematics and geometry.

Course Rotation: Fall, Spring, Summer.

3 - 4 credits

Prerequisites

MAT 100 Minimum Grade of D or Math Placement 20 or MAT 103 Minimum Grade of D or MAT 103A Minimum Grade of D or MAT 103C Minimum Grade of D

MAT 102C Mathematics for Life - (CAP)

Students must fulfill the prerequisite or be placed into the course.

Course Description: Investigation and applications of appropriate mathematical subject matter drawn from algebra, combinatorics and probability, logic, statistics, financial mathematics and geometry.

Course Rotation: NYC:Spring: PLV:Fall:Spring

3 credits

Prerequisites

Pre-requisite:MAT 102/103 ( Course : MAT 100 . Minimum Grade of D. ) or ( Test: Math Placement 20 to 99) or ( Test: Math Placement 30 to 99)

MAT 102E Mathematics for Life - Learning Community

Prerequisite: MAT 100 or placement in course.

Course Description: This paired learning community is geared for those whose majors do not require a specific math class and who would like to explore cultural issues in depth. These courses will examine stereotypes of gender, race, and class from ancient to modern times through the lens of mathematical studies. We will examine how these three categories intersect and become intertwined in social reality. How can math be used to describe and analyze those realities?

3 credits

Prerequisites

MAT 100 Min Grade D or Math Placement

Corequisites

WS 266E

MAT 103 Algebra

Students must fulfill the prerequisite or be placed into the course. Does not satisfy the core in Mathematics and may only be used for elective credit.

Course Description: Topics in algebra selected from properties of real numbers, simplification of algebraic expressions, factoring, exponents and radicals, equations, inequalities, logarithms, functions and their graphs, systems of linear equations, applications to business and the mathematics of finance. Note: Students may have this course waived as a prerequisite if their background warrants it. This waiver is usually determined by the Mathematics Placement Exam.

Course Rotation: NYC & PLV: Fall, Spring, and Summer.

3 credits

Prerequisites

Pre-requisite:MAT 102/103 ( Course : MAT 100 . Minimum Grade of D. ) or ( Test: Math Placement 20 to 99) or ( Test: Math Placement 30 to 99)

MAT 103A Algebra - A

Prerequisite:Placement into course.

Course Description: Does not satisfy the core in Mathematics. The algebra content of this course is the same as MAT 103, Algebra, with the addition of foundational mathematics in the earlier part of the course. These additional topics include integers, fractions, decimals, percents, and proportions.

Course Rotation: Fall, Spring, Summer.

3 credits

Prerequisites

Pre-requisite:MAT 102/103 ( Course : MAT 100 . Minimum Grade of D. ) or ( Test: Math Placement 20 to 99) or ( Test: Math Placement 30 to 99)

MAT 103C Algebra - (CAP)

Students must fulfill the prerequisite or be placed into the course. Does not satisfy the core in Mathematics and may only be used for elective credit.

Course Description: Topics in algebra selected from properties of real numbers, simplification of algebraic expressions, factoring, exponents and radicals, equations, inequalities, logarithms, functions and their graphs, systems of linear equations, applications to business and the mathematics of finance. Note: Students may have this course waived as a prerequisite if their background warrants it. This waiver is usually determined by the Mathematics Placement Exam.

3 credits

Prerequisites

MAT 100C Minimum Grade of D and Math Placement 30

MAT 104 Finite Mathematics

Students must fulfill the prerequisite or be placed into the course. Not open to students who have completed MAT 134 or MAT 234.

Course Description: Introduction to linear programming, the corner point and simplex methods for solving linear programs, foundations of finite probability, interpretations of probability, equally-likely outcomes, independent events, conditional probability, Bayes' theorem, systems of linear equations, mathematics of finance, and mathematical modeling.

Course Rotation: Fall, Spring and Summer.

3 credits

Prerequisites

MAT 103 Minimum Grade of D or Math Placement 40 or Math Placement 50

MAT 104C Finite Mathematics - (CAP)

Students must fulfill the prerequisite or be placed into the course. Not open to students who have completed MAT 108, MAT 110, MAT 134, or MAT 234.

Course Description: Introduction to linear programming, the corner point and simplex methods for solving linear programs, foundations of finite probability, interpretations of probability, equally-likely outcomes, independent events, conditional probability, Bayes' theorem, and mathematics of finance.

3 credits

Prerequisites

MAT 103C Minimum Grade of D

MAT 107 Development of Mathematics

Prerequisite: MAT 099 or two years of College Preparatory Mathematics or Equivalent. Not open to Business Majors.

Course Description: Nature and historical development of mathematics, its impact on society with elementary applications. Selected topics chosen from problem solving with sets, logic, probability and expectation, introductory statistics, development of number systems, development of algebra, mathematical modeling process, use and abuse of numerical data.

3 credits

Prerequisites

MAT 099 Min Grade D or MATM 107 Min Grade D

MAT 107C Development of Mathematics (CAP)

Prerequisite: MAT 099 or two years of College Preparatory Mathematics or equivalent. Not open to Business Majors.

Course Description: Nature and historical development of mathematics, its impact on society with elementary applications. Selected topics chosen from problem solving with sets, logic, probability and expectation, introductory statistics, development of number systems, development of algebra, mathematical modeling process, use and abuse of numerical data.

3 credits

MAT 109A Principles of Mathematics I

Course Description: The course focuses on the structure of modern mathematics as it is used today. It emphasizes critical thinking, arithmetic algorithms, number systems, and problem solving. Topics include: strategies of problem solving, Boolean logic, sets, relations, functions, study of the integers, rational numbers, real numbers, and introduction to mathematical computer packages.

Course Rotation: Fall.

3 credits

Prerequisites

Math Placement 20 or Math Placement 30 or Math Placement 40 or Math Placement 50

MAT 109B Principles of Mathematics II

Course Description: This course is a continuation of themes of MAT 109A. Topics include the rudiments of probability, introduction to basic statistics, plane geometry, coordinate geometry, transformation geometry, measurement of plane figures, and the metric system.

Course Rotation: Spring.

3 credits

Prerequisites

MAT 109A Minimum Grade of D

MAT 111 Elementary Calculus I

Students must fulfill the prerequisite or be placed into the course. Not open to students who have completed MAT 131.

Course Description: Limits, continuity, derivatives of algebraic, exponential and logarithmic functions, optimization problems, introduction to integral calculus, fundamental theorem of integral calculus. Business and economic applications are stressed throughout.

Course Rotation: Fall, Spring, and Summer.

3 credits

Prerequisites

Pre-requisite for MAT 111 ( Course : MAT 103 . Minimum Grade of D. ) or (Course : MAT 103A . Minimum Grade of D. ) or (Course : MAT 103C . Minimum Grade of D. ) or (Course : MAT 120 . Minimum Grade of D. ) or (Course : MAT 130 . Minimum Grade of D. ) or ( Test: Math Placement 40 to 99)

MAT 111S Elementary Calculus 1 - Learning Community

Not open to who have taken Mat 131.

Course Description: This course combines the beauty and fascination of astronomy with the logical reasoning and problem solving techniques of mathematics. Students will learn connections between science and mathematics and study real-world problem solving processes, as well as customary topics in both subjects. Students will interactively learn to use an astronomical telescope to take measurements and obtain a practical understanding of astronomy. Typical problems in astonomy will be presented to students who will then in turn learn to solve them in the mathematics portion of the course. Field trips: Hayden Planetarium. Field work: 6-8 sessions outside with telescopes.

3 credits

Prerequisites

MAT 103 Min Grade D or MAT 130 Min Grade D

Corequisites

SCI 150S

MAT 117 Elementary Statistics

Not open to students who have completed MAT 134 or MAT 234.

Course Description: Collection, tabulation, and graphing of statistical data; measures of location and dispersion; sampling and sampling distributions; confidence intervals; hypothesis testing; correlation and regression; introduction to time series analysis. Business and economic applications are stressed throughout.

Course Rotation: Fall, Spring, and Summer.

4 credits

Prerequisites

Pre-requisite for MAT 117 ( Course : MAT 104 . ) or (Course : MAT 104C . ) or (Course : MAT 108 . )

MAT 125 Technical Math 1

Course Description: This course in technical mathematics covers topics in algebra and geometry. Topics include: functions and their graphs, trigonometry, base conversion, logarithms, and binary sequences. A brief review of numbers and basic algebra will lead to a further and more detailed exploration of the aforementioned topics.

4 credits

MAT 130 Precalculus

Students must fulfill the prerequisite or be placed into the course. Does not satisfy core requirement in Mathematics and can only be used for elective credit.

Course Description: Precalculus course for students who require additional mathematical background prior to taking MAT 131. Topics include logarithmic and exponential functions, trigonometric functions, trigonometric identities, solving triangles, conic sections, solving equations.

Course Rotation: Fall and Spring.

4 credits

Prerequisites

MAT 103 Minimum Grade of D or Math Placement 40 or Math Placement 40

MAT 131 Calculus I

Students must fulfill the prerequisite or be placed into the course. Not open to students who have completed MAT 111.

Course Description: Analytic geometry, continuity, derivatives and differentials, applications to graphing and optimization problems, introduction to anti-differentiation and the definite integral.

Course Rotation: Fall, Spring, and Summer.

4 credits

Prerequisites

MAT 130 Minimum Grade of C- or Math Placement 50

MAT 132 Calculus II

Course Description: Applications of the definite integral, techniques of integration, indeterminate forms, improper integrals, Taylor's formula, infinite series.

Course Rotation: NYC: Fall and Spring. PLV: Fall, Spring, and Summer.

4 credits

Prerequisites

MAT 131 Minimum Grade of C-

MAT 134 Introduction to Probability and Statistics

Students must fulfill the prerequisite or be placed into the course. Not open to students who have completed MAT 117 or MAT 234.

Course Description: Introduction to the study of random processes; finite sample spaces, the role of assumptions in the formulation of probability models, probability models based on equally-likely outcomes, independent events, and conditional probability. Bayes' theorem, random variables, mathematical expectation; statistical applications of probability, introduction to sampling theory, confidence intervals and hypothesis testing.

Course Rotation: Fall, Spring and Summer.

3 credits

Prerequisites

MAT 099 Minimum Grade of P or MAT 100 Minimum Grade of D or MAT 103 Minimum Grade of D or MAT 130 Minimum Grade of D or Math Placement 30

MAT 137 Introduction to Discrete Mathematics

Prerequisite: A grade of "C-" or better in MAT 103 or MAT 130 or placement into the course.

Course Description: An introductory course in discrete mathematical structures. Selected topics chosen from set theory, number systems, logic and proofs, combinatorics and graphs, computer applications to real world problems.

4 credits

Prerequisites

MAT 103 Minimum Grade of C- or MAT 130 Minimum Grade of C- or Math Placement 40 or Math Placement 50

MAT 137 Introduction to Discrete Mathematics

4 credits

MAT 141 Introductory Statistics for the Life Sciences

Course Description:This course provides a non-calculus based introduction to statistics, with a focus on applications in the life sciences: biology, chemistry and health care. Topics covered include data gathering, numerical and graphical data summaries, elementary probability, binomial, normal and sampling distributions, confidence intervals hypothesis testing, regression and correlation, analysis of variance, and nonparametric statistics. This course includes the use of technology.

Course Rotation:PLV:Fall;Spring

4 credits

MAT 142 Introductory Statistics for Psychology

Course Description:This is an elementary introduction to statistics focusing on principles and techniques pertinent to psychology. Topics include graphical and numerical data presentation and summarization, elementary probability and relevant sampling distributions, correlation, point and confidence interval estimation, hypothesis testing, and chi-square test for goodness of fit. The software statistical package SPSS is taught and employed throughout the course.

Course Rotation:NY;Fall

4 credits

MAT 143 Introductory Statistics for the Social Sciences

Course Description:This course focuses on those statistical methods that are relevant to the Social Sciences. A variety of applications related to this area are discussed. Statistical packages are introduced and utilized. Topics are chosen from both descriptive and inferential statistics.
Course Rotation:FALL;PLV

4 credits

MAT 218 Intermediate Statistics

Prerequisite: A grade of "C-" or better in MAT 117 or MAT 134 or MAT 234

Course Description: Topics in analysis of variance, nonparametric methods, and Bayesian statistics. Introduction to multivariable methods. Applications chosen from business, economics, management, and the social sciences.

Course Rotation: TBA.

3 credits

Prerequisites

Pre-requisite for MAT 218 ( Course : MAT 116 . Required Courses: 1. ) or (Course : MAT 117 . Required Courses: 1. ) or (Course : MATA 117 . Required Courses: 1. ) or (Course : MAT 134 . Required Courses: 1. ) or (Course : MAT 135 . Required Courses: 1. ) or (Course : MAT 234 . Required Courses: 1. )

MAT 222 Applied Multivariable Statistical Methods

Prerequisite: A grade of "C-" or better in MAT 116 or MAT 117 or MAT 134 or MAT 234

Course Description: Review of single variable regression analysis; multiple regression models; multiple, partial, and multiple-partial correlations, analysis of variance, analysis of covariance, factor analysis, discriminant analysis; applications to management, and the social, biological and behavioral sciences.

3 credits

Prerequisites

MAT 116 Minimum Grade of C- or MAT 117 Minimum Grade of C- or MAT 134 Minimum Grade of C- or MAT 234 Minimum Grade of C-

MAT 233 Math. Structures and Models

4 credits

MAT 234 Introduction to Probability and Statistical Analysis

Students must fulfill the prerequisite or be placed into the course. Not open to students who have completed MAT 117 or MAT 134.

Course Description: Probability on finite sample spaces, combinatorial methods, discrete random variables, probability distributions, probability generating functions, introduction to descriptive and inferential statistics, confidence intervals, hypothesis testing, regression, and correlation.

Course Rotation: Fall, Spring, and Summer.

4 credits

Prerequisites

MAT 105 Minimum Grade of C- or MAT 111 Minimum Grade of C- or MAT 111S Minimum Grade of C- or MAT 131 Minimum Grade of C-

MAT 236 Multivariable Calculus

Prerequisites: A grade of "C-" or better in MAT 132.
Course Description: Vectors, polar coordinates, functions of several variables, partial differentiation, multiple integration, applications, vector analysis.

Course Rotation: Fall.

4 credits

Prerequisites

MAT 132 Minimum Grade of C-

MAT 238 Linear Algebra

Prerequisites: A grade of "C-" or better in MAT 132.

Course Description: Vector spaces, matrix theory, linear transformations, rank, nullity, eigenvalues and eigenvectors.

Course Rotation: NYC: Spring. PLV: Fall.

4 credits

Prerequisites

MAT 132 Minimum Grade of C-

MAT 253 Differential Equations

Prerequisite: A minimum grade of "C-" or better in MAT 132 and permission of Instructor, or a minimum of "C-" or better in MAT 236.

Course Description: Methods of solution of ordinary differential equations; the existence and nature of solutions; Linear differential equations; introduction to partial differential equations. Fourier series and boundary value problems; applications. Course Rotation: PLV: Spring

4 credits

Prerequisites

MAT 236 Minimum Grade of C- or MAT 132 Minimum Grade of C-

MAT 255 Numerical Methods

3 credits

MAT 256 Mathematical Structures for Computer Science

Course Description: The focus is on mathematical structures that have applications to computer science. Topics chosen from algebra of sets; relations and functions; logic; elementary number theory; combinatorics; graph theory with applications to reach ability and path problems; introduction to group theory with applications to computer arithmetic and coding theory; related algorithms.

Course Rotation: NYC: Fall. PLV: Spring.

4 credits

Prerequisites

MAT 137 Minimum Grade of C- and ( CIS 107 Minimum Grade of D or CS 121 Minimum Grade of C)

MAT 257 Mathematics of Finance

Prerequisite: A grade of "C-" or better in MAT 111 or MAT 131.

Course Description: This course introduces the student to the theory and application of interest, especially in its impact on making logical financial decisions. Topics include: time value of money, equations of value, simple interest, compound interest, force of interest, analysis of single payment, irregular payment and annuity models with respect to both present and future value, internal rate of return, term of an investment, comparison of frequency of annuity payment to the frequency compounding, sinking fund, repayment of a mortgage and refinancing, valuation of a bond and depreciation.

Course Rotation: NYC: Spring - Even years.

3 credits

Prerequisites

MAT 111 Minimum Grade of C- or MAT 131 Minimum Grade of C-

MAT 260 History of Mathematics

Course Description: This course will provide students with an opportunity to explore selected topics in the history of mathematics. Students will explore mathematical contributions from people of diverse cultures with accomplishments from both female and male mathematicians. Topics include mathematics in ancient Egypt, ancient Mesopotamia, ancient Greece, the Roman Empire, the Pre-Columbian Americas, the Islamic World, China, and India. The development of mathematics from ancient times, the Middle Ages, and throughout the 17th to 21st Centuries will be examined. The lives and contributions of individual mathematicians will be explored.

3 credits

MAT 296 Topics in Mathematics

Course Description: This course will treat at different times at an intermediate level one or more such topics as mathematical logic, number theory, actuarial mathematics, optimization techniques, and applied mathematics in various fields. With permission it may be taken more than once for credit.

Course Rotation: TBA.

1 - 6 credits

MAT 296C Topic: Number Theory

Prerequisite: MAT 132 or MAT 137 or permission of instructor.

1 - 6 credits

Prerequisites

MAT 132 Min Grade D or MAT 137 Min Grade D

MAT 301 Algebraic Structures

Students must fulfill the prerequisites or request permission from the Department Chair.

Course Description: A study of groups, rings, fields, sub and quotient structures, homomorphisms, and the role of algebra in applications.

3 credits

Prerequisites

MAT 137 Minimum Grade of C- or MAT 238 Minimum Grade of C-

MAT 303 Modern Geometry

Students must fulfill the prerequisite or request permission from the Instructor.

Course Description: Geometry from Euclidean to present day. Axiomatic approach to Euclidean geometry, deficiencies in conventional geometry, finite geometry, non-Euclidean geometry, and projective geometry.

Course Rotation: PLV: Spring - Odd years.

3 credits

Prerequisites

MAT 238 Minimum Grade of C-

MAT 305 Complex Variables

Prerequisite: A grade of "C-" or better in MAT 236, or permission of Department Chair.

Course Description: Algebra of the complex number system, analyticity, Cauchy-Riemann equations, integration, Cauchy's integral theorems, infinite series, Taylor and Laurent expansions, residues, insolated singularities, conformal mapping.

Course Rotation: NYC: Fall - Even years. PLV: Fall - Odd years.

3 credits

Prerequisites

MAT 236 Minimum Grade of C- or MAT 136 Minimum Grade of C-

MAT 311 Real Analysis

Course Description: Rigorous treatment of the real number system, limits, continuity, uniform continuity, differentiability of functions of one real variable, the Riemann integral, introduction to point set topology, sequences of functions, uniform convergence.

Course Rotation: NYC: Fall - Odd years. PLV: Fall - Even years.

3 credits

Prerequisites

MAT 236 Minimum Grade of C- or MAT 136 Minimum Grade of C-

MAT 391 Mathematics Internship I

Prerequisite:Completion of sophomore year, recommendation of Department Chair and acceptance in a position.

Course Description: A direct experience in the working environment, intended to provide the student with a practical extention and enhancement of knowledge gained in class. The student has an assignment and is directed by professionals in the normal working environment. The student must also report to and consult with his or her faculty advisor who provides overall academic supervision.

Course Rotation: TBA.

3 credits

MAT 395 Independent Study in Mathematics

Prerequisite: Junior standing and a minimum QPA of 3.00.

Course Description: With the approval of the appropriate faculty member, the department chairperson and the academic dean, students may select a topic for guided research that is not included in the regular course offerings. The student meets regularly with the faculty member to review progress. A research project or paper must also be submitted.

Course Rotation: TBA.

1 - 9 credits

MAT 395A Independent Study in Mathematics ( A)

1 - 9 credits

MAT 395B Independent Study in Mathematics (B)

1 - 9 credits

MAT 400 Mathematics: Connections, Communications, Research

Prerequisite: MAT 234, MAT 236, MAT 238, MAT 253, and senior standing.
Course Description: This senior capstone experience in mathematics is designed to provide mathematics majors with an integrative experience in the subject. It explores connections among the sub-disciplines of mathematics and their relation to other academic areas and applications. Students are required to complete a research project and present their findings. Class members engage in peer review of presentations.

Course Rotation: PL: Fall.

3 credits

Prerequisites

Pre-requisite for MAT 400 ( Course : MAT 234 . Required Courses: 1. ) or (Course : MAT 135 . Required Courses: 1. ) and (Course : MAT 236 . Required Courses: 1. ) or (Course : MAT 136 . Required Courses: 1. ) and (Course : MAT 238 . Required Courses: 1. ) or (Course : MAT 138 . Required Courses: 1. ) and (Course : MAT 253 . Required Courses: 1. ) or (Course : MAT 153 . Required Courses: 1. )

MAT 490 Mathematics Seminar Capstone Experience I

Prerequisite: Senior standing. Restricted to Mathematics majors.

Course Description: Students will attend the six seminars given in a semester and report on the talks.

Course Rotation: NY: Fall.

1 credits

Prerequisites

MAT 234 Minimum Grade of D and MAT 236 Minimum Grade of D and MAT 238 Minimum Grade of D and MAT 253 Minimum Grade of D

MAT 491 Mathematics Seminar Capstone Experience II

Course Description:The Senior Year Capstone Experience consists of two semesters of seminars together with an associated project which, when combined, serve as an integrative experience for mathematics majors as well as a tool for departmental faculty to evaluate the extent to which students have mastered the materials and tools covered in the first three years of their undergraduate education. Moreover, it serves to hone their study and presentation skills as well as their ability to critique the work of others. This class will continue the seminars of Math 490 but will also require student to write and present a more extensive research project.

Course Rotation:NY:Spring

2 credits

Prerequisites

MAT 234 Minimum Grade of D and MAT 236 Minimum Grade of D and MAT 238 Minimum Grade of D and MAT 253 Minimum Grade of D and MAT 490 Minimum Grade of D

MAT 500 Survey of Mathematics

Course Description: This course is the first course in an intensive mathematics immersion program for career changers seeking to be teachers of mathematics. It provides an overview of mathematics across a variety of areas based on the backgrounds and needs of the students. Topics will be drawn from among mathematical reasoning and communication, number theory and concepts, algebra, analytic geometry, calculus, geometry, trigonometry, data analysis, probability, statistics and discrete mathematics.

3 credits

MAT 613 Probability

Course Description: A study of the concepts in probability theory along with derivation and application of appropriate computational methods. Topics include: combinatorics, basic axioms, independence, discrete and continuous univariate and multivariate distributions, expectation, limit theorems and simulation (if time permits).

4 credits

Prerequisites

MAT 236 Min Grade B

MAT 617 Interest Theory and Applications

Course Description: A study of the concepts in theory of interest along with derivation and application of requisite mathematics for practical implementation of such concepts. Topics include: measurement of and problems in interest, annuities, yield rates, amortization and sinking funds, serurities, some advanced financial analysis (if time permits), and stochastic approaches to interest.

4 credits

Prerequisites

MAT 131 Min Grade B and MAT 132 Min Grade B and MAT 234 Min Grade B