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Course Criteria
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4.00 Credits
4 hours; 4 credits This course applies probability and the theory of interest to the pricing of insurance products. Topics to be included are survival distributions and life tables, life insurance (level benefit, endowment, deferred, and varying benefit insurance), life annuities, net premiums, and net premium reserves. Prerequisites: MTH 4120 and 4410.
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4.00 Credits
4 hours; 4 credits This course is a continuation of MTH 4420. Topics to be included are multiple life functions, multiple decrement models, valuation theory for pension plans, nonforfeiture benefits, and dividends. Prerequisite: MTH 4420.
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4.00 Credits
4 hours; 4 credits This course builds upon probability theory to develop the principles of risk theory with particular application to insurance. The major topics to be studied are utility theory and decision making in the face of uncertainty. Applications to insurance include individual and collective risk models, over the short and long term, and analysis of the mathematical models for fire, automobile, disability, and similar types of insurance. Prerequisite: MTH 4120.
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4.00 Credits
4 hours; 4 credits This course is an introduction to the mathematical methods used in finance and their practical applications. The course begins with a review of discrete and continuous probability, including brownian motion. The finite difference methods, Monte Carlo simulation, Newton's method, and the least squares problem will be studied. These methods will be applied to solve the Black-Scholes equation, price American options, price exotic options, and find the zero curve. Other topics include forwards and futures, arbitrage pricing theory, bonds and swaps, bootstrapping, European and American options, put-call parity, binomial trees for options pricing, and exotic options. Prerequisites: MTH 3020 or 3030 and either MTH 3120 or 4120.
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3.00 Credits
Hours and credits to be arranged
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3.00 Credits
3 hours; 3 credits This course discusses the basic concepts in the theory of complex variables. The topics to be discussed will include the planar representation of the complex numbers, De Moivre's theorem, limits, Cauchy-Riemann equations, analytic functions, Taylor and Laurent series, integration, theory of residues, and introduction to Riemann surfaces. Prerequisite: MTH 3020 or 3030 or departmental permission.
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4.00 Credits
4 hours; 4 credits This course is an introduction to partial differential equations. Topics to be included are first-order equations, classification of second-order equations, the method of separation of variables, and an introduction to Fourier series and transform methods. Prerequisite: MTH 4110 or departmental permission.
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3.00 Credits
Hours and credits to be arranged
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3.00 Credits
3 hours; 3 credits Traces the historical, developmental, and contemporary aspects of management. Qualitative as well as quantitative concepts, tools, techniques, and classes are introduced. In addition, the role of the manager as a decision-maker in a dynamic environment is examined.
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3.00 Credits
3 hours; 3 credits This is an introductory course intended to provide the student with a mix of theoretical and practical knowledge about operations management. Principles are presented by a logical functional development of the subject ranging from the design and structuring of facilities, through an in-depth analysis of available techniques, to detailed studies of operating procedures, processes, methods, and controls. Covered, too, are the supporting human considerations. Prerequisite: Completion of math requirement for the BBA degree.
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