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

MATH 001 - IS: 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 013 - BASIC MATH |

CREDITS DO NOT APPLY TOWARD GRADUATION. This course is designed to provide students with a sound background in basic computational and algebraic procedures. Students successfully completing this course must register for MATH 021 PCMP, or MATH 022 Transitional Mathematics, and successfully complete that course before they may register for a college-level math course. Prerequisite: Ramapo College Math Placement Test indicates MATH 013.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course Mathematics Department |

MATH 021 - PREPARATION FOR COLLEGE MATHEMATICS PROGRAM |

CREDITS DO NOT APPLY TOWARD GRADUATION. This online, self-paced, Preparation for College Math Program (PCMP) (http://phobos.ramapo.edu/~pcmp), is intended to prepare students for General Education mathematics courses, by reviewing arithmetic and elementary algebra. Students are expected to attend an orientation session for PCMP. Please contact the instructor for dates and times. All tests for PCMP are to be taken at the Ramapo College Testing Center. Prerequisite: Ramapo College Math Placement Test indicates MATH 021/MATH 022.
0.000 TO 2.000 Credit hours 0.000 TO 2.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Online Course Mathematics Department |

MATH 022 - TRANSITIONAL MATHEMATICS |

CREDITS DO NOT APPLY TOWARD GRADUATION. This course is intended to prepare students for General Education mathematics courses, by reviewing arithmetic and elementary algebra. Prerequisite: Ramapo College Math Placement Test indicates MATH 021 or MATH 022.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course, Recitation Mathematics Department |

MATH 024 - ELEMENTARY ALGEBRA TOPICS |

CREDITS DO NOT APPLY TOWARD GRADUATION. This course is designed to prepare the student to take Math 110, Precalculus. Topics include: Exponents, algebraic expressions, unit conversions, linear equations, quadratic equations, function notation, graphing by plotting points, linear and quadratic functions, lines and parabolas, systems of linear equations, polynomial functions and equations, rational functions, method of partial fractions, and topics in plane and solid geometry. Prerequisite: MATH 021/MATH 022 or the College-Level Math test indicates MATH 024.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course Mathematics Department |

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, OLD GE-MATHEMATICS |

MATH 101 - MATH WITH APPLICATIONS |

This course is designed to introduce the student to the language, methodology, scope, and spirit of mathematics through an introduction to Probability and Calculus. These two topics are rich in applications and can genuinely be appreciated by students throughout the College. The study of these topics will (i) provide the student with an introduction to key ideas in two distinct areas of
mathematics, (ii) provide the student with perspective on the nature and relevance of mathematics and quantitative reasoning, (m) develop problem solving and ciitical thinking skills, and (iv) expand understanding of and appreciation for mathematics.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course Mathematics Department Course Attributes: Gen Ed 2018, Gen Ed 18-Quantitative Rsng, OLD GE-MATHEMATICS |

MATH 104 - MATH FOR THE MODERN WORLD |

This course is designed to introduce the student to the language, methodology, scope, and spirit of mathematics through the study of several mathematics topics and their applications. These topics include: logical reasoning, problem solving, properties of numbers, measurement, exponential growth and decay, and ﬁnancial mathematics. The study of these topics will (i) provide the student with an introduction to key ideas in several distinct areas of mathematics, (ii) provide the
student with perspective on the nature and relevance of mathematics and quantitative reasoning, (m) develop problem solving and critical thinking skills, and (iv) expand understanding of and appreciation for mathematics.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course, Recitation Mathematics Department Course Attributes: Gen Ed 2018, Gen Ed 18-Quantitative Rsng, OLD GE-MATHEMATICS |

MATH 106 - INTRODUCTION TO MATHEMATICAL MODELING |

This is a Quantitative Reasoning keystone course meant for non-science majors. The course is intended to provide insight into the importance of mathematics to the world outside academia, and to improve students reasoning and problem—solving skills. It will introduce to students applications by way of management decision making, social choice, and population studies. Typical among problems to be studied are: scheduling of projects with precedence restrictions; linear Programming problems; manipulability of voting systems; weighted voting systems (coalitions and relative power, paradoxes in voting systems); apportionment; fair division in presence of individual preferences; detection and/or
correction of data transmission errors.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course Mathematics Department Course Attributes: Gen Ed 2018, Gen Ed 18-Quantitative Rsng, OLD 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. The course is designed to introduce the student to the language, methodology, scope, and spirit of mathematics through an introduction to probability and statistics, two topics which are rich in applications and can genuinely be appreciated by students throughout the College.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course, Recitation All Sections for this Course Mathematics Department Course Attributes: Gen Ed 2018, Gen Ed 18-Quantitative Rsng, OLD GE-MATHEMATICS |

MATH 110 - PRECALCULUS |

A preparatory course for calculus with trigonometry. 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.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course, Recitation Mathematics Department Course Attributes: Gen Ed 2018, Gen Ed 18-Quantitative Rsng, OLD GE-MATHEMATICS |

MATH 110A - PRECALCULUS-ADDITIONAL HELP |

MATH 110A is designed to reinforce the material covered in MATH 110. MATH 110A is a part of the {MATH 110 Precalculus, MATH 110A Precalculus – Additional Help} sequence. MATH 110A is taken by students who need both to complete MATH 110 Precalculus and whose College Level Mathematics (CLM) test score is between 43 and 64 [or by students who need both to complete Precalculus, and who completed MATH 022 (or MATH 021)]. MATH 110 and MATH 110A must be completed concurrently (that is, in the same semester). Attendance in MATH 110A is required, according to strict specifications listed in its syllabus.
0.000 TO 0.100 Credit hours 0.000 TO 0.100 Lecture hours Levels: Undergraduate Schedule Types: Lecture Mathematics Department |

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: Hybrid, Lecture, Online Course All Sections for this Course Mathematics Department Course Attributes: Gen Ed 2018, Gen Ed 18-Quantitative Rsng, OLD 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: Hybrid, Lecture, Online Course 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 |

The course is designed to build a ﬁrm foundation for subsequent math
courses. The ﬁrst part ofthe course focuses on Logic and Set Theory. The second part will introduce the student to one or more of the following mathematical disciplines: Analysis, Topology, Group Theory.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course Mathematics Department Course Attributes: WRITING INTENSIVE |

MATH 210 - MATHEMATICS FOR ELEMENTARY EDUCATORS |

This course involves a careful examination of mathematical ideas behind the mathematics taught in grades K-6, and their history and applications to daily life. It is intended primarily for future elementary school teachers to provide them with a better understanding of the mathematics they will teach. The course will focus on
understanding and exploring the mathematics through problem solving, projects, group explorations, use of manipulatives. and some use of technology.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Lecture/Online, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course Mathematics Department Course Attributes: WRITING INTENSIVE |

MATH 240 - CRYPTOGRAPHY |

This course introduces the subject of modern cryptography from an algorithmic and mathematically rigorous perspective, with a focus on four specific cryptographic schemes: Linear Congruence, RSA, Discrete Log, and Elliptic Curve Cryptography.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Lecture/Online, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course Mathematics Department |

MATH 339 - COMPLEX VARIABLES |

This course will serve as 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 a some interesting applications to boundary value problems will be included.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course Mathematics Department |

MATH 388 - CO-OP/INTERNSHIP MATH |

An academic program in which students are placed in work positions relevant to their academic majors and career goals. The program integrates academic work on-campus with supervised off-campus work experience in both the public and private sectors. Students may take up to two Co-ops in their academic career at Ramapo College. Students must be at least a Sophomore and have a 2.0 or better average to be eligible. Transfer students must have completed at least 16 credits at Ramapo.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Co-Op 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 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.
MATH 390 MATHEMATICAL MODELING. This course is designed to introduce students to fundamental concepts and methods of mathematical modeling. We will study many model types, and learn techniques to construct and analyze appropriate models for a variety of applications. We will additionally build students' understanding of the general model-building process and develop a strong foundation with which students can confidently tackle real-world, open-ended problems. Topics may include discrete and continuous dynamical systems, proportionality and geometric similarity models, fitting models to data, simulations, probabilistic modeling, decision theory, or network science.
0.000 TO 4.000 Credit hours 0.000 TO 4.000 Lecture hours Levels: Undergraduate Schedule Types: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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: Hybrid, Lecture, Online Course 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 |