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MATH 545: Topics for Secondary School Teachers
3.00 Credits
University of Mississippi
High-school subjects from an advanced point of view and their relation to the more advanced subjects.
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MATH 545 - Topics for Secondary School Teachers
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Math 555: Advanced Calculus I
3.00 Credits
University of Mississippi
Suprema and infima on the real line; limits, liminf, and limsup of a sequence of reals; convergent sequences; Cauchy sequences; and series, absolute and conditional convergence of series.
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Math 555 - Advanced Calculus I
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Math 556: Advanced Calculus II
3.00 Credits
University of Mississippi
Limits, continuity, power series, partial differentiation; multiple, definite, improper, and line integrals; applications.
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Math 556 - Advanced Calculus II
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Math 567: Introduction to Functional Analysis I
3.00 Credits
University of Mississippi
Hilbert spaces, Banach spaces, Hahn-Banach Theorem, Banach Steinhaus Theorem, Open Mapping Theorem, weak topologies, Banach-Alaoglu Theorem, and Classical Banach spaces.
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Math 567 - Introduction to Functional Analysis I
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Math 568: Introduction to Functional Analysis II
3.00 Credits
University of Mississippi
Topics in Banach space theory.
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Math 568 - Introduction to Functional Analysis II
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MATH 572: Introduction to Probability & Statistics
3.00 Credits
University of Mississippi
Emphasis on standard statistical methods and the application of probability to statistical problems.
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MATH 572 - Introduction to Probability & Statistics
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MATH 573: Applied Probability
3.00 Credits
University of Mississippi
Emphasis on understanding the theory of probability and knowing how to apply it. Proofs are given only when they are simple and illuminating. Among topics covered are joint, marginal, and conditional distributions, conditional and unconditional moments, independence, the weak law of large numbers, Tchebycheff's inequality, Central Limit Theorem.
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MATH 573 - Applied Probability
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MATH 574: Probability
3.00 Credits
University of Mississippi
Topics introduced in Math 573 will be covered at a more sophisticated mathematical level. Additional topics will include the Borel-Cantelli Lemma, the Strong Law of Large Numbers, characteristic functions, fourier transforms.
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MATH 574 - Probability
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Math 575: Mathematical Statistics I
3.00 Credits
University of Mississippi
Mathematical treatment of statistical and moment characteristics; probability models; random variables; distribution theory; correlation; central limit theorem; and multiparameter models.
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Math 575 - Mathematical Statistics I
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Math 576: Mathematical Statistics II
3.00 Credits
University of Mississippi
Mathematical treatment of statistical inference; maximum likelihood estimation and maximum likelihood ratio test; minimum variance unbiased estimators; most powerful tests; asymptotic normality and efficiency; and Baysian statistics.
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Math 576 - Mathematical Statistics II
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