{"id":855,"date":"2013-03-05T13:59:01","date_gmt":"2013-03-05T18:59:01","guid":{"rendered":"https:\/\/www.sunyit.edu\/apps\/catalog\/undergrad\/courses\/mathematics\/"},"modified":"2018-11-08T21:09:15","modified_gmt":"2018-11-08T21:09:15","slug":"mathematics","status":"publish","type":"page","link":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/courses\/mathematics\/","title":{"rendered":"Mathematics"},"content":{"rendered":"

MAT 090\u00a0\u00a0\u00a0\u00a0 Preparation for College Mathematics (0)<\/strong><\/p>\n

A mathematics skills course designed for the student who needs to develop basic arithmetic, geometry and pre-algebra skills.\u00a0 Only S\/U grades are assigned for this course.<\/p>\n

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MAT 110\u00a0\u00a0\u00a0\u00a0 College Algebra (4)<\/strong><\/p>\n

Techniques of algebra manipulation needed for success in the Calculus courses will be introduced and developed.\u00a0 Topics will include:\u00a0 sets, polynomials, factoring, rational expressions, exponents, radicals, coordinate geometry, inequalities, simultaneous equations, quadratic equations, and partial fractions.\u00a0 Applications with word problems will be included.<\/p>\n

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MAT 111\u00a0\u00a0\u00a0\u00a0 College Mathematics (4)<\/strong><\/p>\n

The course provides a basic background in critical thinking and problem solving through the language and methods of mathematics.\u00a0 Topics include a review and extension of algebra, geometry, quantitative reasoning and data analysis.\u00a0 An emphasis is placed upon logic and reasoning in a mathematical context.\u00a0 Students who have previously completed MAT 112 or higher may not enroll in this course for degree credit.\u00a0 Prerequisite:\u00a0 High school algebra and geometry.\u00a0 A terminal college course in mathematics for students who will not take other mathematics courses (such as Precalculus, Elements of Calculus, etc.).\u00a0 Meets new General Education Mathematics requirement.<\/p>\n

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MAT 112\u00a0\u00a0\u00a0\u00a0 Elements of Calculus (4)<\/strong><\/p>\n

This is a terminal introductory course in calculus suitable for business, computer science, and telecommunications majors.\u00a0 Topics in both the differential and the integral calculus are covered.\u00a0 These include: functions and graphs, the derivative, differentiation rules, optimization problems, rates of change, exponential and logarithmic functions, the antiderivative, the definite integral, and integration by substitution and by parts.\u00a0 Applications will be drawn from diverse areas such as business, economics, and the life sciences.\u00a0 Students who have previously completed MAT 121 or higher may not enroll in this course for degree credit.\u00a0 Prerequisite: MAT 110 College Algebra or equivalent.\u00a0 Meets new General Education Mathematics requirement.<\/p>\n

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MAT 115\u00a0\u00a0\u00a0\u00a0 Finite Mathematics (4)<\/strong><\/p>\n

A rigorous introduction to discrete mathematics as it is used in computer science.\u00a0 Topics include functions, relations, sets, propositional and predicate logic, simple circuit logic, proof techniques, elementary combinatorics, and discrete probability. Meets new General Education Mathematics requirement.<\/p>\n

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MAT 120\u00a0\u00a0\u00a0\u00a0 Precalculus (4)<\/strong><\/p>\n

Introduces the student to some of the fundamental concepts needed to be able to study calculus.\u00a0 Topics include: algebra review, functions, graphing, exponential, logarithmic, and circular functions, trigonometry, complex numbers, and vectors.\u00a0 Students who have previously completed MAT 121 or higher may not enroll in this course for degree credit.\u00a0 Prerequisite: MAT 110 or equivalent. Meets new General Education Mathematics requirement.<\/p>\n

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MAT 121\u00a0\u00a0\u00a0\u00a0 Calculus for Engineering Technology I (4)<\/strong><\/p>\n

Introduces the student to the differential calculus.\u00a0 Topics include: analytic geometry in a plane,\u00a0 functions, limits, the derivative and differentiation rules, partial derivatives, related rates, extrema, curve sketching, mean value theorem, linear approximations and parametric equations.\u00a0\u00a0\u00a0 Prerequisite: MAT 120 or equivalent.\u00a0 Meets new General Education Mathematics requirement.<\/p>\n

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MAT 122\u00a0\u00a0\u00a0\u00a0 Calculus for Engineering Technology II (4)<\/strong><\/p>\n

Introduces the student to the integral calculus.\u00a0 Topics include: the indefinite and definite integrals, areas, volumes, work, the exponential, logarithmic, inverse trigonometric, and hyperbolic functions, integration techniques, improper integrals, L’Hopital’s rule, Taylor polynomials and polar co\u2011ordinates. Prerequisite: MAT 121 or equivalent.<\/p>\n

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MAT 151\u00a0\u00a0\u00a0\u00a0 Calculus I (4)<\/strong><\/p>\n

More advanced than MAT 121, this course is required for mathematics and engineering majors, and is recommended for mathematics minors.\u00a0 Covers the concept of the derivative and begins the study of integration.\u00a0 Topics include:\u00a0 functions, limits, continuity, the derivative, differentiation rules, mean value theorem, related rates, extrema, curve sketching, Newton\u2019s method, linear approximations, definite and indefinite integrals, the fundamental theorem of calculus and parametric equations.\u00a0 Meets new General Education Mathematics requirement.\u00a0 Prerequisite:\u00a0 MAT 120 or equivalent with a grade C or better, or permission of instructor.\u00a0 MAT 121 and MAT 151 cannot both be taken for credit.<\/p>\n

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MAT 152\u00a0\u00a0\u00a0\u00a0 Calculus II (4)<\/strong><\/p>\n

More advanced than MAT 122, this course is required for mathematics and engineering majors, and is recommended for mathematics minors.\u00a0 Continues the study of integration and also includes infinite series.\u00a0 Topics include:\u00a0 integration techniques, transcendental functions, applications of integration, conic sections, L\u2019Hopital\u2019s rule, improper integrals, sequences and series, and polar co-ordinates.\u00a0 Meets new General Education Mathematics requirement.\u00a0 Prerequisite:\u00a0 MAT 151 with a grade C or better or equivalent or MAT 121 with permission of instructor.\u00a0 MAT 152 and MAT 122 cannot both be taken for credit.<\/p>\n

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MAT 225\u00a0\u00a0\u00a0\u00a0 Applied Statistical Analysis (4) (Cross Listed with STA 225)<\/strong><\/p>\n

Deals in depth with statistical methods used to analyze data.\u00a0 Applications are drawn from many diverse areas.\u00a0 Topics\u00a0 include: measures of location and scale for frequency distributions,\u00a0 addition and multiplication laws for probability, the binomial, Poisson, and normal distributions, inferences about proportions and\u00a0 location parameters in one\u2011sample and two\u2011sample problems, analysis of completely randomized and randomized blocks designs, simple linear regression and correlation, sign test, median test, rank sum test,\u00a0 and signed rank test.\u00a0 Prerequisites:\u00a0 MAT 112, MAT 122 or MAT 152.<\/p>\n

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MAT 230\u00a0\u00a0\u00a0\u00a0 Differential Equations (4)<\/strong><\/p>\n

An introduction to the theory of ordinary differential equations and matrices.\u00a0 The emphasis is on the development of methods important in engineering and the physical sciences.\u00a0 Topics include: theory and applications of first order and second order differential equations, Laplace transform method, matrix algebra, determinants, Cramer’s rule, eigenvalues, and systems of linear differential equations. Applied Mathematics majors must take MAT 260 and can\u2019t receive credit for this course. Prerequisite: MAT 122 or equivalent.<\/p>\n

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MAT 253\u00a0\u00a0\u00a0\u00a0 Calculus III (4)<\/strong><\/p>\n

Many properties of systems studied in applied science are functions of several variables or vector valued functions.\u00a0 This course develops the calculus of such functions.\u00a0 Topics include: vectors and vector valued functions, analytic geometry in space, functions of several variables, partial differentiation, the gradient, maxima and minima, Lagrange multipliers, and multiple integrals, line and surface integrals, Stokes and Divergence theorems.\u00a0 Prerequisite: MAT 122 or equivalent.<\/p>\n

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MAT 260\u00a0\u00a0\u00a0\u00a0 Ordinary Differential Equations and Series Solutions (4)<\/strong><\/p>\n

The course will allow students to become familiar with the subject of differential equations. It covers methods of solutions such as: separation of variables, integrating factor, reduction of order. Differential equations with constant and variable (Cauchy-Euler) coefficients are treated as well as series solutions of differential equations are introduced (method of Frobenius, Bessel and Legendre equations). Laplace transform and system of Linear first order equations are covered. Examples of applications of differential equations in physics, engineering are given. Prerequisite: MAT 152 with a grade C or better, or permission of instructor.<\/p>\n

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MAT 280\u00a0\u00a0\u00a0\u00a0 Linear Algebra (4)<\/strong><\/p>\n

Many systems studied in science, engineering, and computer science involve a linear relationship among many variables. Linear algebra is the mathematical description of such problems. Topics include: systems of linear equations, Gaussian elimination, matrices, determinants, Cramer’s rule, vector spaces, linear transformations, eigenvalues and eigenvectors. Prerequisite: MAT 121 or MAT 151 or permission of instructor.<\/p>\n

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MAT 290\u00a0\u00a0\u00a0\u00a0 Topics in Mathematics (1-4)<\/strong><\/p>\n

An introductory course in selected topics in Mathematics not currently covered in any of the listed classes. Topics are chosen to illustrate different fields and applications which are all part of mathematics.<\/p>\n

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MAT 335\u00a0\u00a0\u00a0\u00a0 Mathematical Modeling (4)<\/strong><\/p>\n

Designed to teach the student some of the skills necessary to construct and critique mathematical models of physical and industrial processes.\u00a0 The student will apply skills acquired in MAT 230 to the models presented.\u00a0 Topics include: applications of first and second order ordinary differential equations, systems of nonlinear ordinary differential equations, stability, phase plane analysis, optimization, conservation laws and finite differences.\u00a0 Prerequisite: MAT 230 and familiarity with a computer language, or permission of instructor.<\/p>\n

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MAT 345\u00a0\u00a0\u00a0\u00a0 Introduction to Graph Theory (4)<\/strong><\/p>\n

Provides students with an introduction to graphs and their properties.\u00a0 Topics include graphs and digraphs, eulerian and hamiltonian graphs, connectivity, planarity, shortest path problems, trees, and coloring.\u00a0 Attention will be paid to theorems and their proofs.\u00a0 Applications will be given throughout the course.\u00a0 Prerequisite:\u00a0 MAT 122 or MAT 413.<\/p>\n

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MAT 370\u00a0\u00a0\u00a0\u00a0 Applied Probability (4)<\/strong><\/p>\n

An introduction to the theory of probability and its applications.\u00a0 Topics include: basic set theory, elementary probability, counting arguments, conditional probability and independence, random variables and their properties, functions of random variables, distribution functions, probability models and applications such as stochastic processes.\u00a0 Prerequisite: MAT 122.<\/p>\n

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MAT 380\u00a0\u00a0\u00a0\u00a0 Abstract Mathematics:\u00a0 An Introduction (4)<\/strong><\/p>\n

An introduction to rigorous mathematics.\u00a0 Students will be exposed to the building blocks of mathematical theory \u2013 axioms, definitions, theorems, and proofs.\u00a0 The emphasis will be on constructing proofs and writing clear mathematics.\u00a0 The language and methods of mathematics will be explored while introducing students to the basics of set theory, number theory, topology on the real line, and functions.\u00a0 Prerequisite:\u00a0 MAT 122.<\/p>\n

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MAT 381\u00a0\u00a0\u00a0\u00a0 Modern Algebra (4)<\/strong><\/p>\n

An introductory course in Abstract\/Modern Algebra.\u00a0 Topics will include elementary theory of groups, rings and fields:\u00a0 Groups, Subgroups, Quotient Groups, Symmetry, Rings, Fields, and Extension Fields.\u00a0 We will explore connections between Modern Algebra, Number Theory and Linear Algebra.\u00a0 SUNY Polytechnic Institute mathematics course at 200 level or higher excluding MAT 225 or, permission of the instructor.<\/p>\n

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MAT 401\u00a0\u00a0\u00a0\u00a0 Series and Boundary Value Problems (4)<\/strong><\/p>\n

Introduces advanced mathematical methods used to solve certain problems in engineering and the physical sciences.\u00a0 Topics include: sequences and series, Fourier series and transforms, series solutions of ordinary differential equations, partial differential equations, and solution of some boundary value problems.\u00a0 Prerequisite: MAT 230 or equivalent.<\/p>\n

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MAT 413\u00a0\u00a0\u00a0\u00a0 Discrete Mathematics for Computer Science (4)<\/strong><\/p>\n

Background to understanding computer science as the science of clear and concise descriptions of computable, discrete sets.\u00a0 Provides conceptual tools useful for any advanced study in computer science.\u00a0 Topics include: review of set theory, logic and relational calculus, algebraic structures (lattices, Boolean algebra, semi\u2011groups, groups, rings, etc.) and morphisms and their application in computer science (automata theory, coding, switching theory, etc.), formal languages and their acceptors, and elements of information theory and of the theory of computability.<\/p>\n

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MAT 420\u00a0\u00a0\u00a0\u00a0 Complex Variables and their Applications (4)<\/strong><\/p>\n

An introductory study of functions involving complex numbers.\u00a0 Subjects are selected based upon their importance in physical and engineering applications.\u00a0 Included are complex numbers, complex functions, analytic functions, complex integration, infinite series, residue theorem, contour integration, conformal mapping and application of harmonic functions.\u00a0 Prerequisite: MAT 122 or equivalent.<\/p>\n

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MAT 423 Vector and Tensor Calculus (4)<\/strong><\/p>\n

Vector and tensor calculus is a fundamental area of mathematics, and is used extensively in science, engineering, and technology.\u00a0 The methods developed in this course include:\u00a0 the gradient, curl, and divergence, the del operator in general curvilinear coordinates, covariant differentiation, line integrals, surface integrals, Gauss’s theorem, Stoke’s theorem, Green’s theorem, and the divergence theorem.\u00a0 Selected applications will be included from fluid and continuum mechanics, and from electromagnetism.\u00a0 Prerequisite:\u00a0 MAT 253 or equivalent.<\/p>\n

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MAT 425\u00a0\u00a0\u00a0\u00a0 Real Analysis (4)<\/strong><\/p>\n

Introduces the student to a rigorous development of the real number system and the theory of Calculus on the real number line.\u00a0 Topics include: basic set theory, the real number system, sequences and series, limits and continuity, the derivative, the Riemann Integral, the Fundamental Theorem of Calculus, and sequences and series of functions.\u00a0 Prerequisite: MAT 381.<\/p>\n

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MAT 430\u00a0\u00a0\u00a0\u00a0 Number Theory and Its Applications (4)<\/strong><\/p>\n

Introductory course in Number Theory that will introduce students to the basic concepts as well as some modern applications.\u00a0 Topics include:\u00a0 prime numbers, Greatest Common Divisors, The Euclidean Algorithm, congruences, Fermat\u2019s Little Theorem, primality testing, etc.\u00a0 Applications of Number Theory:\u00a0 cryptography, pseudorandom numbers, etc.\u00a0 Prerequisite:\u00a0 MAT 380 or MAT 381 or MAT 413 or permission of the instructor.\u00a0 Cross listed with 530.<\/p>\n

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MAT 450\u00a0\u00a0\u00a0\u00a0 Partial Differential Equations (4)<\/strong><\/p>\n

A study of Partial Differential Equations, or Pde\u2019s, and their applications in science and engineering. The basic development of physical models leading to partial differential equations is discussed.\u00a0 Solution methods and basic theory are presented.\u00a0 Topics include: first order Pde\u2019s, method of characteristics, the canonical second order Pde\u2019s, separation of variables, Hilbert space methods, finite difference methods.\u00a0 Prerequisites: MAT 260 and MAT 253.<\/p>\n

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MAT 460\u00a0\u00a0\u00a0\u00a0 Numerical Differential Equations (4)<\/strong><\/p>\n

Fundamental mathematical methods associated with the numerical solution of ordinary and partial differential equations are investigated.\u00a0 Algorithms emphasizing both standard and newly developed methodologies are developed in the context of theoretical and practical considerations.\u00a0 Mathematical questions such as convergence, accuracy, and appropriateness of method are developed in a systematic manner.\u00a0 A variety of mathematical models and problems of current interest are used to emphasize many of the core results.\u00a0 Students will learn to develop their own algorithms and to use algorithms from existing high quality numerical libraries.\u00a0 Many of the models studied in this course will come from both standard mathematical models and topics related to current faculty research interests.\u00a0 Topics include: Runge-Kutta methods, finite difference techniques, finite element techniques, approximation methods, error estimation, and accuracy.\u00a0 Prerequisites: MAT 253,\u00a0 MAT 260 and familiarity with a programming language.<\/p>\n

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MAT 482\u00a0\u00a0\u00a0\u00a0 Symmetry Methods for Differential Equations- an Introduction (3)<\/strong><\/p>\n

The objective of the course is to expand techniques for finding solutions of differential equations. One of those techniques is the introduction and use of Lie symmetries. We will introduce the concept of groups and Lie algebras, introduce the concept of symmetry of differential equation. Method for computing point symmetries will be presented. How to find invariants and perform symmetry reduction of ODEs will be discussed. Additional topics may include symmetries of Partial Differential Equations, symmetries of systems of ODEs, conditional and hidden symmetries. Maple software will be used. Prerequisites: MAT 253 with a grade of C or better and MAT 260 with a grade of C or better.<\/p>\n

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MAT 490\u00a0\u00a0\u00a0\u00a0 Selected Topics in Mathematics (Variable 1-4)<\/strong><\/p>\n

An in-depth treatment of a selected topic not normally treated extensively in other mathematics courses.\u00a0 Prerequisite: Permission of instructor.<\/p>\n

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MAT 491\u00a0\u00a0\u00a0\u00a0 Independent Study (Variable 1\u20114)<\/strong><\/p>\n

Extensive study and research on a particular topic of student interest under the supervision of a faculty member.\u00a0 The student is required to submit a written proposal which includes a description of the project, its duration, educational goals, method of evaluation, and number of credits to be earned. Prerequisites: Matriculated students only, permission of instructor and dean of subject area.<\/p>\n

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MAT 492\u00a0\u00a0\u00a0\u00a0 Applied Mathematics Internship (4)<\/strong><\/p>\n

The internship is available to qualified Applied Mathematics majors.\u00a0 It is designed to provide students with an opportunity to integrate academic and practical experience in an industrial setting in a field related to mathematics.\u00a0 Before the internship is approved, the student, the employer, and a Mathematics faculty member develop a contract concerning the nature of the internship.\u00a0 Weekly reports and a final presentation are required for the internship.\u00a0 Prerequisites:\u00a0 3.0 or better GPA in major and approval of Applied Mathematics faculty.<\/p>\n","protected":false},"excerpt":{"rendered":"

MAT 090\u00a0\u00a0\u00a0\u00a0 Preparation for College Mathematics (0) A mathematics skills course designed for the student who needs to develop basic arithmetic, geometry and pre-algebra skills.\u00a0 Only S\/U grades are assigned for this course. \u00a0 MAT 110\u00a0\u00a0\u00a0\u00a0 College Algebra (4) Techniques of algebra manipulation needed for success in the Calculus courses will be introduced and developed.\u00a0 […]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":818,"menu_order":39,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-855","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/pages\/855","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/comments?post=855"}],"version-history":[{"count":3,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/pages\/855\/revisions"}],"predecessor-version":[{"id":7283,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/pages\/855\/revisions\/7283"}],"up":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/pages\/818"}],"wp:attachment":[{"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2018-2019\/wp-json\/wp\/v2\/media?parent=855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}