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MAT 407: Probability And Mathematical Statistics I
3.00 Credits
Salem State University
Topics include: probability models, random variables and their probability distributions, expectation, variance, moment and moment generating functions, regression and correlation. The binomial, Poisson, exponential, normal, chi-square, t and F distributions will also be studied. Three lecture hours per week. Required of all Mathematics majors with a Secondary Education minor. Prerequisite: MAT221 or MAT310.
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MAT 407 - Probability And Mathematical Statistics I
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MAT 409: Complex Variables
3.00 Credits
Salem State University
Functions of a complex variable. Cauchy-Riemann equations, Cauchy's integral theorem and formula, the calculus of residues, series expansions of analytic functions, singularities, and contour integration will be discussed. Three lecture hours per week. Prerequisite: MAT221 or MAT310.
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MAT 409 - Complex Variables
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MAT 410: History of Mathematics
3.00 Credits
Salem State University
A survey of the fundamental developments in mathematics from ancient to modern times, with special attention to the historical and logical bases of geometry, algebra, and analysis. Three lecture hours per week. Prerequisite: MAT303.
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MAT 410 - History of Mathematics
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MAT 411: Real Analysis
3.00 Credits
Salem State University
A rigorous treatment of the theorems on sequences, limits, continuity, derivatives, and integrals which are fundamental to all of real analysis. Three lecture hours per week. Prerequisite: MAT221 or MAT310.
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MAT 411 - Real Analysis
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MAT 412: Topology
3.00 Credits
Salem State University
Topics include topological spaces, metric spaces, connectedness, compactness, and product and quotient spaces; additional topics as time permits. Three lecture hours per week. Prerequisite: MAT221.
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MAT 412 - Topology
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MAT 413: Ordinary Differential Equations
3.00 Credits
Salem State University
The methods of solving linear and elementary nonlinear ordinary differential equations; variation of parameters, series solutions, Laplace transforms and applications. Three lecture hours per week. Prerequisite: MAT221 or MAT310.
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MAT 413 - Ordinary Differential Equations
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MAT 414: Linear Algebra II
3.00 Credits
Salem State University
A continuation of Linear Algebra I. Topics include inner product spaces, canonical forms, quadratic forms, and similarity, Hermitian, Unitary, and normal transformations. Three lecture hours per week. Prerequisite: MAT304A.
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MAT 414 - Linear Algebra II
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MAT 415: Geometric Structures
3.00 Credits
Salem State University
An analysis of various geometric structures, especially projective geometry and its relation to certain algebraic structures. Three lecture hours per week. Prerequisite: MAT303.
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MAT 415 - Geometric Structures
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MAT 417: Probability And Mathematical Statistics II
3.00 Credits
Salem State University
Introduction to statistical inference, sampling distributions, decision theory, theory of estimations, tests of hypotheses, analysis of variance. Three lecture hours per week. Prerequisite: MAT407.
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MAT 417 - Probability And Mathematical Statistics II
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MAT 420: Special Problems Seminar
3.00 Credits
Salem State University
Topics to be selected by the instructor. Prerequisite: MAT303.
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MAT 420 - Special Problems Seminar
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