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Course Criteria
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2.00 Credits
Students study challenging problems in probability and statistics whose solutions require a combination of skills that one acquires in a typical mathematical statistics curriculum. Course work synthesizes basic, essential problem-solving ideas and techniques as they apply to actuarial mathematics. (1016-451 or permission of instructor) Class 2, Credit 2 (offered upon suffi cient request)
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4.00 Credits
Topics in abstract algebra to be chosen by the instructor either to give the student an introduction to topics not taught in 1016-531, 532 or to explore further the theory of groups, rings or fi elds. (1016-532) Class 4, Credit 4 ( offered upon suffi cient request)
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4.00 Credits
Topics in analysis to be chosen by the instructor, either to introduce the student to topics not covered in 1016-411, 412 or to explore further the topics covered there. (1016-265, 1016-412) Class 4, Credit 4 (offered upon suffi cient request)
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4.00 Credits
The seminar introduces the student to statistical situations not encountered in the previous course of study. Topics include open ended analysis of data, motivating use of statistical tools beyond the scope of previous courses, introduction to the statistical literature, development of statistical communication skills and the pros and cons of statistical software packages. (1016-354, 1016-355) Class 4, Credit 4 (S)
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4.00 Credits
A study of the multivariate normal distribution, statistical inference on multivariate data, multivariate analysis of covariance, canonical correlation, principal component analysis and cluster analysis. A statistical software package is used for data analysis. (1016-354, 1016-331) Class 4, Credit 4 ( offered upon suffi cient request)
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3.00 Credits
Topics of special interest to a suffi ciently large group of students, and not covered in other courses, may be offered upon request. (Permission of instructor) Class variable, Credit variable (offered upon suffi cient request)
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4.00 Credits
This course is an introduction to the theory of functions of one complex variable. Limits, continuity, differentiability; analytic functions; complex integration; Cauchy integral theorem and formula; sequences and series; Taylor and Laurent series; singularities; residues; analytic continuation; and conformal mapping are discussed. This is a more in-depth study of analytic function theory than 1016-420. (1016-411) Class 4, Credit 4 (offered upon suffi cient request)
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4.00 Credits
This course provides an introduction to the notion of Cauchy integration theory, analytic function by power series and the calculus of residues. (1016-561) Class 4, Credit 4 (offered upon suffi cient request)
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4.00 Credits
This is an introduction to the theory of games with solution techniques and applications. Topics include game trees, matrix games, linear inequalities and programming, convex sets, the minimax theorem, n-person games. (1016-331 or permission of instructor) Class 4, Credit 4 (offered upon suffi cient request)
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4.00 Credits
The theory of optimization of nonlinear functions of several real variables is presented. Topics include unconstrained optimization (Newton-Raphson, steepest ascent and gradient methods), constrained optimization (Lagrange multipliers, Kuhn-Tucker theorem, penalty concept, dynamic programming) and computational aspects (rates of convergence, computational complexity). (1016-305, 1016-432) Class 4, Credit 4 (offered upon suffi cient request)
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