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MAT 359: Ordinary Differential Equations
3.00 Credits
State University of New York at New Paltz
Methods of solution of homogeneous and non-homogeneous linear differential equations. Power series and Laplace transform methods. Non-linear equations of order one. Applications.
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MAT 359 - Ordinary Differential Equations
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MAT 362: Linear Algebra
3.00 Credits
State University of New York at New Paltz
The algebraic structure of Euclidean n-space and finite dimensional vector spaces. Linear transformations, matrices, determinants, linear equations. Norm, inner product, and orthogonality.
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MAT 362 - Linear Algebra
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MAT 363: Combinatorics
3.00 Credits
State University of New York at New Paltz
Counting arguments in different settings and their relation to probability. Functions, relations and, in particular, graphs and trees.
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MAT 363 - Combinatorics
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MAT 364: Introduction to Abstract Algebra I
3.00 Credits
State University of New York at New Paltz
Group theory from axioms;subgroups, cyclic groups, number theoretic properties of finite groups, quotient groups, isomorphisms and homomorphisms.
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MAT 364 - Introduction to Abstract Algebra I
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MAT 365: Introduction to Abstract Algebra II
3.00 Credits
State University of New York at New Paltz
Elementary theory of groups and rings, integral domains and fields.
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MAT 365 - Introduction to Abstract Algebra II
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MAT 375: Numerical Methods
3.00 Credits
State University of New York at New Paltz
Computer solution of mathematical problems; round-off errors and computer arithmetic, solution of equations, interpolation and approximation, numerical differentiation and integration, direct and iterative techniques in matrix algebra.
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MAT 375 - Numerical Methods
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MAT 381: Probability and Statistics I
3.00 Credits
State University of New York at New Paltz
Introduction to probability theory and statistics. Random variables; distribution functions; expected value and moments; sampling; point estimation; interval estimation; hypothesis testing.
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MAT 381 - Probability and Statistics I
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MAT 382: Probability and Statistics II
3.00 Credits
State University of New York at New Paltz
Introduction to probability theory and statistics. Random variables; distribution functions; expected value and moments; sampling; point estimation; interval estimation; hypothesis testing.
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MAT 382 - Probability and Statistics II
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MAT 384: Calculus IV
3.00 Credits
State University of New York at New Paltz
Fourth semester covering differential and integral calculus. Emphasizes line and surface integral theorems, sequences, and series.
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MAT 384 - Calculus IV
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MAT 483: Actuarial Mathematics
3.00 Credits
State University of New York at New Paltz
Theories and models of risk, and their applications. Topics may include: annuities, insurance, benefit reserves, multiple life functions, multiple decrement models, and collective risk models.
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MAT 483 - Actuarial Mathematics
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