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MAT 304: Foundations of Algebra
3.00 Credits
State University of New York at New Paltz
Equivalence relations, elementary number theory, mathematical induction and recursion; the group of integers modulo-n and other concrete groups.
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MAT 304 - Foundations of Algebra
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MAT 310: Elementary Number Theory
3.00 Credits
State University of New York at New Paltz
Introductory study of integers. Axiomatic approach to order and divisibility property, prime distributions, modular arithmetics, perfect numbers and other topics.
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MAT 310 - Elementary Number Theory
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MAT 320: Discrete Mathematics for Computing
3.00 Credits
State University of New York at New Paltz
This course is designed to provide Computer Science and Computer Engineering majors with a working knowledge of discrete mathematics topics they will need in future courses and in later work. Does not count towards the Mathematics major.
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MAT 320 - Discrete Mathematics for Computing
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MAT 321: Intermediate Analysis I
3.00 Credits
State University of New York at New Paltz
Theoretical foundations of elementary calculus: continuity, derivatives, integrals, classical theorems of calculus such as the Mean Value theorem and the Fundamental Theorem of calculus.
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MAT 321 - Intermediate Analysis I
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MAT 322: Intermediate Analysis II
3.00 Credits
State University of New York at New Paltz
Series of real numbers; sequences and series of functions; uniform convergence; power series; Taylor Series, additional topics as chosen by the instructor.
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MAT 322 - Intermediate Analysis II
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MAT 331: Axiomatic Geometry
3.00 Credits
State University of New York at New Paltz
Axiomatic development of geometry from a modern standpoint. Topics chosen from incidence, betweenness, congruence, similarity, transformations, constructions; measure of areas, angles and circles.
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MAT 331 - Axiomatic Geometry
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MAT 332: Modern Geometry
3.00 Credits
State University of New York at New Paltz
Euclidean and non-Euclidean geometries. Consistency proofs and Euclidean constructions.
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MAT 332 - Modern Geometry
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MAT 341: Applied Mathematics I
3.00 Credits
State University of New York at New Paltz
The first of two-semester sequence for mathematicians, scientists and engineers. Topics include partial derivatives, ordinary differential equations, infinite series, and matrix algebra. Not to be taken for credit by students who have passed MAT 359.
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MAT 341 - Applied Mathematics I
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MAT 342: Applied Mathematics II
3.00 Credits
State University of New York at New Paltz
The second of a two-semester sequence in advanced mathematics for scientists and engineers. Topics include complex analysis, Laplace and Fourier transforms, vector calculus, orginary and partial differential equations and special functions of mathematical physics. Counts as an upper-division elective in the Mathematics major.
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MAT 342 - Applied Mathematics II
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MAT 353: Calculus III
4.00 Credits
State University of New York at New Paltz
Analytic geometry in 3 dimensions, vector-valued functions, multivariate functions, partial derivatives, multiple integrals, applications, line integrals, Green's theorem, divergence, curl.
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MAT 353 - Calculus III
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