MAT 500\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Topics in Applied Mathematics (3)
\n<\/b>This course will introduce students to several topics in the area of mathematical methods.\u00a0 Topics includes: complex numbers, determinants and matrices, ordinary differential equations, Fourier series, partial differentiation, multiple integrals and vector analysis.\u00a0 Prerequisite:\u00a0 Calculus II (MAT 122) or equivalent.<\/p>\n
MAT 502\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Linear Algebra MAT 505\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Introduction to Probability MAT 521\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Financial Mathematics I \u2013 Theory of Interest MAT 530\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Number Theory and Its Applications (3) Prerequisites:\u00a0 MAT 380 or MAT 381 or MAT 413 or permission of instructor. MAT 500\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Topics in Applied Mathematics (3) This course will introduce students to several topics in the area of mathematical methods.\u00a0 Topics includes: complex numbers, determinants and matrices, ordinary differential equations, Fourier series, partial differentiation, multiple integrals and vector analysis.\u00a0 Prerequisite:\u00a0 Calculus II (MAT 122) or equivalent. MAT 502\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Linear Algebra This course is a […]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":174,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-193","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/pages\/193","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/comments?post=193"}],"version-history":[{"count":0,"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/pages\/193\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/pages\/174"}],"wp:attachment":[{"href":"https:\/\/webapp.sunypoly.edu\/grad-catalog-2013-2014\/wp-json\/wp\/v2\/media?parent=193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n<\/b>This course is a graduate level Linear Algebra course, with an emphasis on applications is statics and statistical signal processing including linear models and linear estimation. The student will built on the knowledge obtained in the undergraduate level Linear Algebra, MAT 340, learn about special matrices, singular value decomposition, pseudo inverses, quadratic forms, Hilbert spaces and least squares, and acquire an introduction to linear modes and linear estimation. A computational environment is integrated through the course. Prerequisite: MAT 340, Linear Algebra, and MAT 370, Applied Probability or permission of instructor.<\/span><\/p>\n
\n<\/b>Sample space and counting, axioms and rules of probability, conditional probability and independence, modeling with discreet and continuous random variables, jointly distributed random variables, characteristics of random variables, transformation of random variables, moment generating functions. law of large numbers and central limit theorem, statistical applications, random number generation and simulations of systems. Prerequisite: MAT 253<\/p>\n
\n<\/b>Theoretical foundation and a practical understanding of interest theory in finite and continuous time will be developed. This theory includes the fundamentals of how annuity functions are applied to the concepts of present and accumulated value for various cash flow streams, and how this is used for further planning in valuation, pricing, duration, and investment. Applications to amortization of lump sums, fixed income securities, deprecation, mortgages, and related concepts will be discussed. In addition, short sales and derivatives for financial risk management will be covered. Prerequisites: MAT 505 Introduction to Probability or equivalent.<\/p>\n
\n<\/b>Introductory course in Number Theory that will introduce students to the basic concepts as well as some modern applications.\u00a0 Topics include: 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.<\/p>\n
\nCross listed with MAT 430.<\/p>\n","protected":false},"excerpt":{"rendered":"