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Course Criteria
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4.00 Credits
Survival distributions, life tables; the mathematics of life insurance, life annuities, net premiums, and net premium reserves. Prerequisite: MATHS 321, 351, and a minimum grade-point average of 2.5 in all mathematics courses that are to be applied to the major.
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4.00 Credits
Mathematics of multiple life functions, multiple decrement models, valuation theory for pension plans, insurance models including expenses, nonforfeiture benefits, and dividends. Prerequisite: MATHS 452.
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4.00 Credits
Mathematical analysis and actuarial principles of investments and asset management. Prerequisite: MATHS 320, 351; or permission of the department chairperson.
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3.00 Credits
Optimization techniques of linear programming, dynamic programming, and integer programming. Optimal solutions of PERT-CPM networks. Optimal decision strategies. Prerequisite: MATHS 162 or 166, 217, or permission of the department chairperson.
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4.00 Credits
Loss and frequency distributions, limited expected value, effects of inflation, parametric and non-parametric models, identification procedures for insurance company data, bootstrapping, Bayesian analysis, compound frequency, methods for censored and truncated data, classical and Bayesian credibility models, experience rating. Prerequisite: MATHS 321.
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2.00 Credits
Presentations by and discussions with practicing actuaries on problems drawn from their fields of expertise, including life insurance, casualty insurance, health insurance, and professional ethics. Completion of authentic, meaningful projects identified by participating actuaries. Prerequisite: MATHS 351 or 551; RMI 270 or 597; or permission of the department chairperson.
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3.00 Credits
The development of mathematics from prehistoric times to the seventeenth century. Topics may include number concepts and numeration, algebra, geometry, trigonometry, analytic geometry, and calculus. Prerequisite: MATHS 161 or 165.
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3.00 Credits
Financial derivatives, including options, futures and forwards, and their use in financial markets, emphasizing the study of mathematical models used in pricing of these derivatives, differential equations techniques for their solutions, risk neutral valuation, Monte Carlo simulation. Prerequisite: MATHS 320, 363; FIN 300 (senior standing is suggested).
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3.00 Credits
Properties of the real numbers. Cardinality. Topological properties of metric spaces: compactness, completeness, connectedness. Continuous functions. Differential calculus of real- and vector-valued functions of one and several real variables. Prerequisite: MATHS 215, 267, 371; or permission of the department chairperson.
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3.00 Credits
Inverse and implicit function theorems, extremum problems. Infinite series and products. Functions of bounded variation. The Riemann-Stieltjes integral and Fundamental Theorem of Calculus. Sequences of functions. Multiple Riemann integrals. Prerequisite: MATHS 471.
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