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Course Criteria
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3.00 Credits
Introduction to discrete probability models (including the binomial, negative binomial, Poisson, and hypergeometric distributions, their means, variances and cumulative distribution functions).? Other topics include probability axioms, equally likely sample spaces (combinatorics), conditional probability, the gamblers' ruin problem, finite state Markov chains, moment generating functions, joint distributions (including the multinomial distribution), marginal distributions, conditional distributions, covariance and correlation, the weak law of large numbers, and, if time permits, the Central Limit Theorem. Students who intend to take A Mat 363 should take A Mat 362, not A Mat 367.? Students who have taken A Mat 367 and who wish to take a first statistics course can take A Mat 308.?Actuarial students who need continuous as well as discrete probability, should take A Mat 362 (which constitutes substantial preparation for Actuarial Exam P).?A Mat 367Z is the writing intensive version of A Mat 367; only one may be taken for credit. Prerequisite(s): A Mat 113 or 119 plus 6 credits at the 200 or higher level in either mathematics or computer science.
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3.00 Credits
A topics course whose content will vary somewhat from semester to semester. In the recent past the course has focused on analysis of variance, categorical data analysis, distribution free methods and survey sampling. Other possible topics include Bayesian statistics, bootstrap methods, log-linear models, lifetime distributions, Meier-Kaplan estimators and the Mantel-Haenszel test.? Topics covered in Math 465 (multiple regression and time series) would be avoided. May be repeated for credit with permission of instructor. Prerequisite(s): A Mat 363.
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3.00 Credits
Operation and theory of the simplex algorithm for solving linear programming problems, duality theory, and matrix games. A Mat 372Z is the writing intensive version of A Mat 372; only one may be taken for credit. Prerequisite(s): A Mat 109 or 220.
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3.00 Credits
Operations research techniques and applications, linear programming, queuing theory, including birth and death processes, decision theory, network analysis, simulation. Prerequisite(s): A Mat 367 or 367Z or permission of instructor. May not be offered in 2008-2009.
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3.00 Credits
Error analysis, numerical solution of nonlinear equations, interpolation and polynomial approximation, numerical differentiation and integration, direct methods for solving linear systems. Not more than one of A Mat 313 or A Mat 401 may be taken for credit. Prerequisite(s): A Mat 220. Offered fall semester only. May not be offered in 2008-2009.
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3.00 Credits
Treatment of single and joint lives including mortality functions, various kinds of annuities and life insurance, premiums, reserves and standard actuarial notations for?these concepts. Recommended as partial preparation for actuarial exam M. Prerequisite(s): A Mat 301, 367, 368.
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3.00 Credits
Expansion of Mat 403 with emphasis on two or more lives in combination and on multiple causes of decrement. Topics include population theory, multi-life statuses, multi-life functions, reversionary annuities, multiple-decrement functions, primary and secondary decrements, and applications of multiple-decrement functions. Prerequisite(s): A Mat 403.
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3.00 Credits
Classical vector analysis presented heuristically and in physical terms. Topics include the integral theorems of Gauss, Green, and Stokes. Prerequisite(s): A Mat 214. Offered spring semester only.
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3.00 Credits
The elementary functions, differentiation, conformal transformations, power series, integral theorems, Taylor's theorems, Taylor's and Laurent's expansions, applications of residues. A Mat 412Z is the writing intensive version of A Mat 412; only one may be taken for credit. Prerequisite(s): A Mat 214. Usually offered fall semester only.
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3.00 Credits
A rigorous presentation of the traditional topics in the calculus of several variables and their applications. Topics include the implicit function theorem, Taylor's theorem, Lagrange multipliers, Stieltjes integral, Stokes' theorem, infinite series, Fourier series, special functions, Laplace transforms. A Mat 413Z is the writing intensive version of A Mat 413; only one may be taken for credit. Prerequisite(s): A Mat 312 or 312Z; A Mat 413 or 413Z is a prerequisite for A Mat 414.
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