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Course Criteria
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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
Topics to be selected by the instructor. Prerequisite: MAT303.
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