Select the Course Number to get further detail on the course. Select the desired Schedule Type to find available classes for the course. |

MATH 100 - INDEPENDENT STUDY: MATHEMATICS |

Limited opportunities to enroll for course work on an Independent Study basis are available. A student interested in this option should obtain an Independent Study Registration Form from the Registrar, have it completed by the instructor and school dean involved, and return it to the Registrar's Office. Consult the current Schedule of Classes for policies concerning Independent Study.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Independent Study Mathematics Department |

MATH 100T - TRANSFER GE MATH EQUIVALENT |

0.000 TO 4.000 Credit hours 0.000 TO 4.000 Other hours Levels: Undergraduate Schedule Types: Administrative Mathematics Department Course Attributes: Gen Ed 18-Quantitative Rsng, GE-MATHEMATICS |

MATH 101 - MATH WITH APPLICATIONS |

This course is designed to introduce two fundamental areas of mathematics. It will include concepts in probability and calculus and develop algebraic procedures and techniques as necessary. Topics include: combinatorics, Bayes' Rule, expected value, an introduction to derivatives and integrals, and applications of calculus. Prerequisite: MATH 021/MATH 022, or Ramapo College Math Placement Test indicates readiness for college-level math, or SAT Math Score 560 or higher.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture, Lecture/Online Mathematics Department Course Attributes: GE-MATHEMATICS |

MATH 104 - MATH FOR THE MODERN WORLD |

This course is designed to introduce the student to several topics in mathematics and their applications. Topics include: logical reasoning, problem solving, properties of numbers, measurement, exponential growth and decay, and financial mathematics. Prerequisite: MATH 021/MATH 022, or Ramapo College Math Placement Test indicates readiness for college-level math.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: GE-MATHEMATICS |

MATH 106 - INTRODUCTION TO MATH MODELING |

This course will introduce students to applications in the areas of management decision-making, social choice, and population studies. Typical problems include: scheduling of projects with precedence restrictions; weighted voting systems; coalitions and relative power; paradoxes in voting systems; apportionment; fair division in presence of individual preferences; development of optimal strategies in social, political and economic interactions. Prerequisite: MATH 021/MATH 022, or Ramapo College Math Placement Test indicates readiness for college-level math.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: GE-MATHEMATICS |

MATH 108 - ELEMENTARY PROBABILITY AND STATISTICS |

This introduction to statistics consists of both descriptive and inferential statistics, offering elementary probability as its background. Topics include: organization and description of data, introduction to probability, probability distributions, making inferences about population parameters using hypothesis testing, correlation and linear regression. The course offers a variety of exercises with real-life data sets. Graphing calculator TI-83 Plus or TI-84 Plus required. Prerequisite: MATH 021/MATH 022, or Ramapo College Math Placement Test indicates readiness for college-level math.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: GE-MATHEMATICS |

MATH 110 - PRECALCULUS |

A preparatory course for calculus. Topics include: absolute values and inequalities; analytic geometry of conic sections; functions (linear, polynomial, rational, exponential, and logarithmic); as well as a study of plane trigonometry, including the trigonometric and inverse trigonometric functions, identities, equations, and formulas. A graphing calculator is required. Prerequisite: MATH 024 or the College-Level Math test indicates MATH 110.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture, Recitation Mathematics Department Course Attributes: GE-MATHEMATICS |

MATH 121 - CALCULUS I |

An introduction to the theory and applications of differentiation and integration of algebraic and trigonometric functions. Topics include: limits and continuity, derivatives, differentiation rules, implicit differentiation, related rates, differentials, optimization, Mean Value Theorem, curve sketching, Fundamental Theorem of Calculus, definite and indefinite integrals, the substitution rule, derivatives and integrals involving exponential and logarithmic functions.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: GE-MATHEMATICS |

MATH 122 - CALCULUS II |

A continuation of the theory and applications of differentiation and integration as well as a systematic study of infinite series. Topics include: techniques of integration, further applications of integration, infinite series including power series and Taylor series. We also study the calculus of parametric and polar curves.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 198 - TRANSFER ELECTIVE |

This course designation describes a transfer course from another institution where an equivalency to a Ramapo College course has not been determined. Upon convener evaluation, this course ID may be changed to an equivalent of a Ramapo College course or may fulfill a requirement.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 199 - TRANSFER ELECTIVE |

This course designation is used to describe a transfer course from another institution which has been evaluated by the convener. A course with this course number has no equivalent Ramapo course. It may fulfill a requirement or may count as a free elective.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 200 - INDEPENDENT STUDY: MATHEMATICS |

Limited opportunities to enroll for course work on an Independent Study basis are available. A student interested in this option should obtain an Independent Study Registration Form from the Registrar, have it completed by the instructor and school dean involved, and return it to the Registrar's Office. Consult the current Schedule of Classes for policies concerning Independent Study.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Independent Study Mathematics Department |

MATH 205 - MATHEMATICAL STRUCTURES |

This course is designed to build a firm foundation for subsequent mathematics courses. The first half of the course focuses on Logic and Set Theory. The second half will introduce the student to the structure of Metric and Topological Spaces. This course (or MATH 237 Discrete Structures) is a prerequisite for most mathematics courses numbered above Multivariable Calculus.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 223 - CALCULUS III |

A continuation of Calculus II. A study of sequences and series including convergence tests, power series, and Taylor and Maclaurin series; and vectors and vector functions including arc length and curvature.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 225 - MULTIVARIABLE CALCULUS |

A continuation of the Calculus sequence. A study of vectors, vector functions, curvature, functions of several variables, tangent planes, directional derivatives, gradients, extreme values, double and triple integrals, and vector calculus including line and surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 237 - DISCRETE STRUCTURES |

An introduction to the mathematical terminology, tools, and theory which form the foundation for much of the material in mathematics and computer science. Topics include: logic; number theory; methods of proof including mathematical induction, direct proofs, proofs by contradiction, contraposition, and counterexample; set theory; functions and relations, probability. Optionally coverd in addition to the above: elements of combinatorics. This course (or MATH 205 Mathematical Structures) is a prerequisite for most mathematics couses numbered above Multivariable Calculus.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 245 - NUMERICAL ANALYSIS |

An introduction to the numerical methods of mathematics. Topics include: the approximate solution of equations and systems of equations, Newton's method and other iteration schemes, interpolation, method of least squares for curve fitting, numerical integration, numerical solution of systems of linear equations, and numerical solution of ordinary differential equations.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 253 - PROBABILITY |

This is a calculus-based probability course. Topics include: axioms of probability,
sample spaces, laws of probability, conditional probability, Bayes' Theorem, random
variables, discrete and continuous distributions, expected value, variance, covariance,
and moment-generating functions, multivariable distributions and functions of a random
variable. The course will also include the standard convergence theorems, e.g., the law
of large numbers and the central limit theorem.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 262 - LINEAR ALGEBRA |

An introduction to finite-dimensional linear vector spaces. Topics include: matrices and systems of equations; abstract vector spaces; bases and dimension; linear transformations; eigenvalues and eigenvectors.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: WRITING INTENSIVE |

MATH 282 - NUMBER THEORY |

A study of elementary number theory. Topics include: properties of the integers including divisibility, primes, the Euclidean Algorithm and the Fundamental Theorem of Arithmetic; congruences including the Euler Phi-Function, solving linear and quadratic congruences, the Chinese Remainder Theorem, the Quadratic Reciprocity Law and Diophantine analysis.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 290 - TOPICS: |

The descriptions and topics of this course change from semester-to-semester, as well as from instructor-to-instructor. Prerequisite: varies with the topic offered.
MATH 290 COMBINATORICS. This course is an introduction to the mathematics of examining discrete objects by counting them, constructing them, and finding algorithms to analyze them. Topics include enumeration techniques, permutations, combinations, pigeonhole principle, principle of inclusion-exclusion, generating functions, and recurrence relations as they naturally arise in graph theory, partition theory, group theory, probability, and games.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 298 - TRANSFER ELECTIVE |

This course designation describes a transfer course from another institution where an equivalency to a Ramapo College course has not been determined. Upon convener evaluation, this course ID may be changed to an equivalent of a Ramapo College course or may fulfill a requirement.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 299 - TRANSFER ELECTIVE |

This course designation is used to describe a transfer course from another institution which has been evaluated by the convener. A course with this course number has no equivalent Ramapo course. It may fulfill a requirement or may count as a free elective.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 300 - INDEPENDENT STUDY: MATHEMATICS |

Limited opportunities to enroll for course work on an Independent Study basis are available. A student interested in this option should obtain an Independent Study Registration Form from the Registrar, have it completed by the instructor and school dean involved, and return it to the Registrar's Office. Consult the current Schedule of Classes for policies concerning Independent Study.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Independent Study Mathematics Department |

MATH 305 - DIFFERENTIAL EQUATIONS |

This course provides an introduction to the theory and applications of ordinary differential equations. Topics include: First order differential equations including separation of variables, integrating factors, and Euler's method; general first-order systems; linear first-order systems and solution methods; harmonic oscillators; and Laplace Transforms. Additional topics may include: phase line analysis, bifurcations, equilibrium point analysis of nonlinear systems, and other topics of interest.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 321 - GEOMETRY |

This course is a study of Euclidean and Non-Euclidean geometries. Topics include: finite geometries, transformational geometry, projective geometry, Euclidean geometry, geometric constructions, and hyperbolic geometry.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 353 - STATISTICS |

This is a calculus-based statistics course. This course will explore the concepts of
statistical inference. Topics include: sampling distribution, confidence intervals,
point estimation, sufficient statistics, maximum likelihood method, hypothesis testing,
Neyman-Pearson lemma, linear and multiple regression, categorical statistics,
nonparametric statistics, and ANOVA.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 360 - STOCHASTIC CALCULUS FOR FINANCE |

This course will provide a friendly introduction to mathematical finance by focusing on the problem of pricing derivative securities within the relatively simple framework of the binomial asset-pricing model. It should provide the student with a solid understanding of fundamental concepts from math finance such as arbitrage, option pricing, risk-neutral measures, hedging, and utility optimization. At the same time, various concepts from probability will be developed, including martingales, Markov processes, and random walks. This course is recommended for any math or business/finance student who is considering work in quantitative finance, or who is simply curious about how rigorous mathematics can be applied to real-world financial problems. This course is cross-listed as FINC 360.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 390 - ADVANCED TOPICS |

The descriptions and topics of this course vary from semester-to-semester, as well as from instructor-to-instructor. Prerequisite: varies with the topic offered. MATH 390 GRAPH THEORY. This course will provide a friendly introduction to graph theory. The primary focus of this class is to highlight the importance of graph theory in modern mathematics. Topics that underscore its utility include the basic properties of graphs, invariants of graphs, common families of graphs, adjacency matrix of a graph and its properties, colorings, connectivity, trees, forests and spanning trees. MATH 390 INTRODUCTION TO MATH FINANCE I: STOCHASTIC CALCULUS IN DISCRETE TIME. This course will provide a friendly introduction to mathematical finance by focusing on the problem of pricing derivatives within the relatively simple framework of the binomial asset pricing model. It should provide the student with a solid understanding of basic concepts from math finance such as arbitrage, option pricing, risk-neutral measures, and hedging. At the same time, various concepts from probability will be developed, including martingales, Markov processes, and random walks. This course is recommended for any math or business/finance student who is considering work in quantitative finance, or who is simply curious about how rigorous mathematics can be applied to real-world financial problems. MATH 390 COMPLEX VARIABLES. An introduction to the theory of functions of a complex variable. Topics include the geometry of the complex plane, analytic functions, Taylor and Laurent series expansions, complex integration, and residue theory. The focus of the class will be on computation. However, some theory as well as some interesting applications to boundary value problems will be included. MATH 390 LINEAR OPTIMIZATION. Linear Optimization is concerned with methods to allocate limited resources in an optimal way. Linear constraints are imposed on variables representing those resources. Among the variable values satisfying the restrictions, those that maximize or minimize a linear function of the unknowns are looked for. The Simplex Method, an algorithm to solve linear programs will be discussed. Several applications of interest for mathematics or computer science students will be presented: production processes, allocation of personnel and other scheduling problems, transportation problems, diet problems, among others.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 398 - TRANSFER ELECTIVE |

This course designation describes a transfer course from another institution where an equivalency to a Ramapo College course has not been determined. Upon convener evaluation, this course ID may be changed to an equivalent of a Ramapo College course or may fulfill a requirement.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 399 - TRANSFER ELECTIVE |

This course designation is used to describe a transfer course from another institution which has been evaluated by the convener. A course with this course number has no equivalent Ramapo course. It may fulfill a requirement or may count as a free elective.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 400 - INDEPENDENT STUDY: MATHEMATICS |

Limited opportunities to enroll for course work on an Independent Study basis are available. A student interested in this option should obtain an Independent Study Registration Form from the Registrar, have it completed by the instructor and school dean involved, and return it to the Registrar's Office. Consult the current Schedule of Classes for policies concerning Independent Study.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Independent Study Mathematics Department |

MATH 416 - INTRODUCTION TO ANALYSIS |

An examination of the basic concepts of limit, continuity, derivative, sequences (including Cauchy sequences), uniform convergence, infinite series, and the Riemann integral, beginning with the completeness of the real number system and elementary topology of the real line including the Bolzano-Weierstrass Theorem and the Heine-Borel Theorem.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 432 - ABSTRACT ALGEBRA |

An introduction to the algebraic structures known as groups, rings and fields. These structures are a basic part of the theory and language of modern mathematics. About two-thirds of the course will study topics from group theory: groups, subgroups, cyclic groups, permutation groups, Lagrange's Theorem, finitely generated abelian groups, homomorphisms and isomorphisms, normal subgroups, and factor groups. The remainder of the course will be an introduction to rings and fields and associated topics including: rings, fields, integral domains, polynomial rings, the quaternions, prime and maximal ideals and their factor rings. The course will emphasize understanding abstract structures, and reading and writing mathematical proofs.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: WRITING INTENSIVE |

MATH 441 - HISTORY OF MATH |

This course will emphasize the beauty of mathematical ideas and their historical development. The course will survey mathematics starting with the Babylonians, Egyptians, and Greeks through the rise of Islamic mathematics and up to the present time. Topics will be chosen to represent the important fields of mathematics (e.g., algebra, analysis, geometry, and number theory) and to represent the greatest thinkers (e.g., Euclid, Fermat, Euler, Leibniz, Newton, Gauss, Cauchy, and Riemann). This is a capstone math course, required of all math majors.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department Course Attributes: TS-Sch Core- SCP Category, WRITING INTENSIVE |

MATH 490 - TOPICS: |

The descriptions and topics of this course change from semester-to-semester, as well as from instructor-to-instructor. Prerequisite: varies with the topic offered.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 498 - TRANSFER ELECTIVE |

This course designation describes a transfer course from another institution where an equivalency to a Ramapo College course has not been determined. Upon convener evaluation, this course ID may be changed to an equivalent of a Ramapo College course or may fulfill a requirement.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

MATH 499 - TRANSFER ELECTIVE |

This course designation is used to describe a transfer course from another institution which has been evaluated by the convener. A course with this course number has no equivalent Ramapo course. It may fulfill a requirement or may count as a free elective.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |