MAT 090\u00a0\u00a0\u00a0\u00a0 Preparation for College Mathematics (0)<\/b><\/p>\n
A mathematics skills course designed for the student who needs to develop basic arithmetic, geometry and pre-algebra skills.\u00a0Only S\/U grades are assigned for this course.<\/p>\n
MAT 110\u00a0\u00a0\u00a0\u00a0 College Algebra (4)<\/b><\/p>\n
Techniques of algebra manipulation needed for success in the Calculus courses will be introduced and developed.\u00a0Topics will include:\u00a0sets, polynomials, factoring, rational expressions, exponents, radicals, coordinate geometry, inequalities, simultaneous equations, quadratic equations, and partial fractions.\u00a0Applications with word problems will be included.<\/p>\n
MAT 111\u00a0\u00a0\u00a0\u00a0 College Mathematics (4)<\/b><\/p>\n
The course provides a basic background in critical thinking and problem solving through the language and methods of mathematics.\u00a0Topics include a review and extension of algebra, geometry, quantitative reasoning and data analysis.\u00a0An emphasis is placed upon logic and reasoning in a mathematical context.\u00a0Students who have previously completed MAT 112 or higher may not enroll in this course for degree credit.\u00a0Prerequisite: High school algebra and geometry.\u00a0<\/em> A terminal college course in mathematics for students who will not take other mathematics courses (such as Precalculus, Elements of Calculus, etc.).\u00a0Meets new General Education Mathematics requirement.<\/p>\n MAT 112\u00a0\u00a0\u00a0\u00a0 Elements of Calculus (4)<\/b><\/p>\n This is a terminal introductory course in calculus suitable for business, computer science, and telecommunications majors.\u00a0Topics in both the differential and the integral calculus are covered.\u00a0These include: functions and graphs, the derivative, differentiation rules, optimization problems, rates of change, exponential and logarithmic functions, the anti-derivative, the definite integral, and integration by substitution and by parts.\u00a0Applications will be drawn from diverse areas such as business, economics, and the life sciences.\u00a0Students 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<\/em>Meets new General Education Mathematics requirement.<\/p>\n MAT 115\u00a0\u00a0\u00a0\u00a0 Finite Mathematics (4)<\/b><\/p>\n A rigorous introduction to discrete mathematics as it is used in computer science.\u00a0Topics 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 MAT 120\u00a0\u00a0\u00a0\u00a0 Precalculus (4)<\/b><\/p>\n Introduces the student to some of the fundamental concepts needed to be able to study calculus.\u00a0Topics include: algebra review, functions, graphing, exponential, logarithmic, and circular functions, trigonometry, complex numbers, and vectors.\u00a0Students who have previously completed MAT 121 or higher may not enroll in this course for degree credit.\u00a0 Prerequisite: MAT 111 or equivalent.<\/em> Meets new General Education Mathematics requirement.<\/p>\n MAT 121\u00a0\u00a0\u00a0\u00a0 Calculus for Engineering Technology I (4)<\/b><\/p>\n Introduces the student to the differential calculus.\u00a0 Topics include: analytic geometry in a plane, functions, limits, the derivative and differentiation rules, partial derivatives, related rates, extrema, curve sketching, mean value theorem, linear approximations and parametric equations. Prerequisite: MAT 120 or equivalent.<\/em> Meets new General Education Mathematics requirement.<\/p>\n MAT 122\u00a0\u00a0\u00a0\u00a0 Calculus for Engineering Technology II (4)<\/b><\/p>\n Introduces the student to the integral calculus. 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\u00a0 co\u2011ordinates. Prerequisite: MAT 121 or equivalent.<\/em><\/p>\n MAT 151\u00a0\u00a0\u00a0\u00a0 Calculus I (4)<\/b><\/p>\n More advanced than MAT 121, this course is required for mathematics and engineering majors, and is recommended for mathematics minors. Covers the concept of the derivative and begins the study of integration. Topics include:\u00a0functions, 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.\u00a0Meets new General Education Mathematics requirement. Prerequisite:\u00a0 MAT 120 or equivalent.\u00a0MAT 121 and MAT 151 cannot both be taken for credit.<\/em><\/p>\n MAT 152\u00a0\u00a0\u00a0\u00a0 Calculus II (4)<\/b><\/p>\n More advanced than MAT 122, this course is required for mathematics and engineering majors, and is recommended for mathematics minors.\u00a0Continues the study of integration and also includes infinite series.\u00a0Topics include:\u00a0integration techniques, transcendental functions, applications of integration, conic sections, L\u2019Hopital\u2019s rule, improper integrals, sequences and series, and polar co-ordinates.\u00a0Meets new General Education Mathematics requirement. Prerequisite:\u00a0 MAT 151 or equivalent or MAT 121 with permission of instructor.<\/em>\u00a0MAT 152 and MAT 122 cannot both be taken for credit.<\/p>\n MAT 225\u00a0\u00a0\u00a0\u00a0 Applied Statistical Analysis (4) (Cross Listed with STA 225)<\/b><\/p>\n Deals in depth with statistical methods used to analyze data.\u00a0Applications are drawn from many diverse areas.\u00a0Topics include: measures of location and scale for frequency distributions, 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, and signed rank test.\u00a0Prerequisites:\u00a0Calculus II (MAT 152) or Calculus II for Engineering Technologies (MAT 122).<\/em><\/p>\n MAT 230\u00a0\u00a0\u00a0\u00a0 Differential Equations (4)<\/b><\/p>\n An introduction to the theory of ordinary differential equations and matrices.\u00a0The emphasis is on the development of methods important in engineering and the physical sciences.\u00a0Topics 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.<\/em><\/p>\n MAT 253\u00a0\u00a0\u00a0\u00a0 Calculus III (4)<\/b><\/p>\n Many properties of systems studied in applied science are functions of several variables or vector valued functions. This course develops the calculus of such functions.\u00a0Topics 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.\u00a0Prerequisite: MAT 122 or equivalent.<\/em><\/p>\n MAT 260\u00a0\u00a0\u00a0\u00a0 Ordinary Differential Equations and Series Solutions (4)<\/b><\/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.<\/em><\/p>\n MAT 290\u00a0\u00a0\u00a0\u00a0 Topics in Mathematics (1-4)<\/b><\/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 MAT 335\u00a0\u00a0\u00a0\u00a0 Mathematical Modeling (4)<\/b><\/p>\n Designed to teach the student some of the skills necessary to construct and critique mathematical models of physical and industrial processes.\u00a0The 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.\u00a0Prerequisite: MAT 230 and familiarity with a computer language, or permission of instructor.<\/em><\/p>\n MAT 340\u00a0\u00a0\u00a0\u00a0 Linear Algebra (4)<\/b><\/p>\n Many systems studied in science, engineering, and computer science involve a linear relationship among many variables.\u00a0Linear algebra is the mathematical description of such problems.\u00a0Topics include: systems of linear equations, Gaussian elimination, matrices, determinants, Cramer’s rule, vector spaces, linear transformations, eigenvalues and eigenvectors. Prerequisite:\u00a0MAT 121 or permission of instructor.<\/em><\/p>\n MAT 345\u00a0\u00a0\u00a0\u00a0 Introduction to Graph Theory (4)<\/b><\/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.\u00a0Applications will be given throughout the course.\u00a0Prerequisite:\u00a0 MAT 122 or MAT 413.<\/em><\/p>\n MAT 370\u00a0\u00a0\u00a0\u00a0 Applied Probability (4)<\/b><\/p>\n An introduction to the theory of probability and its applications.\u00a0Topics 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. Prerequisite: MAT 122.<\/em><\/p>\n MAT 380\u00a0\u00a0\u00a0\u00a0 Abstract Mathematics:\u00a0 An Introduction (4)<\/b><\/p>\n An introduction to rigorous mathematics.\u00a0Students will be exposed to the building blocks of mathematical theory \u2013 axioms, definitions, theorems, and proofs. The emphasis will be on constructing proofs and writing clear mathematics.\u00a0The 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. Prerequisite:\u00a0MAT 122.<\/em><\/p>\n MAT 381\u00a0\u00a0\u00a0\u00a0 Modern Algebra (4)<\/b><\/p>\n An introductory course in Abstract\/Modern Algebra.\u00a0Topics will include elementary theory of groups, rings and fields:\u00a0 Groups, Subgroups, Quotient Groups, Symmetry, Rings, Fields, and Extension Fields.\u00a0We will explore connections between Modern Algebra, Number Theory and Linear Algebra.\u00a0 SUNYIT mathematics course at 200 level or higher excluding MAT 225 or, permission of the instructor.<\/p>\n MAT 401\u00a0\u00a0\u00a0\u00a0 Series and Boundary Value Problems (4)<\/b><\/p>\n Introduces advanced mathematical methods used to solve certain problems in engineering and the physical sciences.\u00a0Topics include: sequences and series, Fourier series and transforms, series solutions of ordinary differential equations, partial differential equations, and solution of some boundary value problems.\u00a0Prerequisite: MAT 230 or equivalent.<\/em><\/p>\n MAT 413\u00a0\u00a0\u00a0\u00a0 Discrete Mathematics for Computer Science (4)<\/b><\/p>\n Background to understanding computer science as the science of clear and concise descriptions of computable, discrete sets. Provides conceptual tools useful for any advanced study in computer science. 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. Prerequisite: MAT 115.<\/em><\/p>\n MAT 420\u00a0\u00a0\u00a0\u00a0 Complex Variables and their Applications (4)<\/b><\/p>\n An introductory study of functions involving complex numbers.\u00a0Subjects are selected based upon their importance in physical and engineering applications.\u00a0Included 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.<\/em><\/p>\n MAT 425\u00a0\u00a0\u00a0\u00a0 Real Analysis (4)<\/b><\/p>\n Introduces the student to a rigorous development of the real number system and the theory of Calculus on the real number line.\u00a0Topics 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.\u00a0Prerequisite: MAT 381.<\/em><\/p>\n MAT 430\u00a0\u00a0\u00a0\u00a0 Number Theory and Its Applications (4)<\/b><\/p>\n Introductory course in Number Theory that will introduce students to the basic concepts as well as some modern applications.\u00a0Topics include:\u00a0 prime numbers, Greatest Common Divisors, The Euclidean Algorithm, congruences, Fermat\u2019s Little Theorem, primality testing, etc.\u00a0Applications of Number Theory:\u00a0 cryptography, pseudorandom numbers, etc.\u00a0Prerequisite:\u00a0 MAT 380 or MAT 381 or MAT 413 or permission of the instructor.<\/em>\u00a0Cross listed with 530.<\/p>\n MAT 450\u00a0\u00a0\u00a0\u00a0 Partial Differential Equations (4)<\/b><\/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.\u00a0Solution methods and basic theory are presented.\u00a0Topics include: first order Pde\u2019s, method of characteristics, the canonical second order Pde\u2019s, separation of variables, Hilbert space methods, finite difference methods. Prerequisites: MAT 260 and MAT 253.<\/em><\/p>\n MAT 460\u00a0\u00a0\u00a0\u00a0 Numerical Differential Equations (4)<\/b><\/p>\n Fundamental mathematical methods associated with the numerical solution of ordinary and partial differential equations are investigated.\u00a0Algorithms emphasizing both standard and newly developed methodologies are developed in the context of theoretical and practical considerations.\u00a0Mathematical questions such as convergence, accuracy, and appropriateness of method are developed in a systematic manner.\u00a0A variety of mathematical models and problems of current interest are used to emphasize many of the core results.\u00a0Students will learn to develop their own algorithms and to use algorithms from existing high quality numerical libraries.\u00a0Many of the models studied in this course will come from both standard mathematical models and topics related to current faculty research interests.\u00a0Topics include: Runge-Kutta methods, finite difference techniques, finite element techniques, approximation methods, error estimation, and accuracy.\u00a0 Prerequisites: MAT 253,\u00a0MAT 260 and familiarity with a programming language.<\/em><\/p>\n MAT 490\u00a0\u00a0\u00a0\u00a0 Selected Topics in Mathematics (Variable 1-4)<\/b><\/p>\n An in-depth treatment of a selected topic not normally treated extensively in other mathematics courses.\u00a0Prerequisite: Permission of instructor.<\/em><\/p>\n MAT 491\u00a0\u00a0\u00a0\u00a0 Independent Study (Variable 1\u20114)<\/b><\/p>\n Extensive study and research on a particular topic of student interest under the supervision of a faculty member.\u00a0The 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.<\/em><\/p>\n MAT 492\u00a0\u00a0\u00a0\u00a0 Applied Mathematics Internship (4)<\/b><\/p>\n The internship is available to qualified Applied Mathematics majors.\u00a0It is designed to provide students with an opportunity to integrate academic and practical experience in an industrial setting in a field related to mathematics.\u00a0Before the internship is approved, the student, the employer, and a Mathematics faculty member develop a contract concerning the nature of the internship.\u00a0Weekly reports and a final presentation are required for the internship.\u00a0Prerequisites:\u00a0 3.0 or better GPA in major and approval of Applied Mathematics faculty.<\/em><\/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.\u00a0Only S\/U grades are assigned for this course. 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.\u00a0Topics will include:\u00a0sets, […]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":818,"menu_order":145,"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-2013-2014\/wp-json\/wp\/v2\/pages\/855","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2013-2014\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2013-2014\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2013-2014\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2013-2014\/wp-json\/wp\/v2\/comments?post=855"}],"version-history":[{"count":0,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2013-2014\/wp-json\/wp\/v2\/pages\/855\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2013-2014\/wp-json\/wp\/v2\/pages\/818"}],"wp:attachment":[{"href":"https:\/\/webapp.sunypoly.edu\/undergrad-catalog-2013-2014\/wp-json\/wp\/v2\/media?parent=855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}