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  • MA 261: Numerical Models

    3.00 Credits
    Bentley University

    Prerequisite(s): MA 125, MA 129 or MA 139 Focuses on the practical calculation of function values and the numerical solutions to mathematical equations. Develops the notions of a numerical algorithm and recursive relation, errors in finite precision numerical computations, and convergence rates of numerical algorithms. Computer solutions to problems will be used where appropriate.
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  • MA 263: Continuous Probability for Risk Management

    3.00 Credits
    Bentley University

    Prerequisite(s): GB 204/205 and one of the following: either MA 139, or MA 125 with instructor's permission Application of probabilistic models to risk management. This course directly addresses the nature and applications of continuous probability to risk management problems in a variety of modern areas such as insurance, finance, economics and health sciences.
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  • MA 267: Discrete Mathematics

    3.00 Credits
    Bentley University

    Prerequisite(s): MA 111, MA 124 or equivalent Introduces discrete mathematics helpful for understanding and creating computer algorithms. Topics include logic and sets, relations and functions, elementary combinatorics, undirected and directed graphs, machines and configurations. Applications of these topics to computer sciences are an integral part of the course.
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  • MA 280: Selected Topics in the Mathematical Sciences

    3.00 Credits
    Bentley University

    Prerequisite(s): Prerequisites will be announced at registration depending on the particular topic being addressed. Note: With department approval, may be taken more than once. Examines a particular area of mathematics or its applications. While varying from semester to semester, topics may include the use of mathematical models in environmental science, the history of mathematics, elementary measure theory, financial mathematics or other issues. The topic will be announced prior to registration.
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  • MA 305: Mathematical Logic

    3.00 Credits
    Bentley University

    Prerequisite(s): MA 125, MA 126, MA 139 or equivalent Logic is one of the oldest branches of human inquiry and knowledge. Its foundations were created by the ancient Greeks, and it was slowly developed for well over two thousand years. However, the pace and complexity of modern life have led to a demand for significant extensions and enhancements to the classical logic of earlier times. The mathematics needed to support these demands has only recently begun to emerge. Our goal in this course is to use some of these new mathematical tools and techniques to explore modal logic, an area of modern mathematical logic that has taken on renewed importance in diverse applications from computer science to law. We will first develop the concepts and computational techniques of propositional logic. This will provide the necessary background for exploring notions such as truth and validity in a variety of modal logics which include the logic of necessity and possibility, the logic of moral obligation, and the logic of knowledge.
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  • MA 307: The Mathematics of Computer Graphics

    3.00 Credits
    Bentley University

    Prerequisite(s): MA 125, MA 126, MA 139 or equivalent This course is an introduction to the mathematics of computer aided design (CAD). We develop some simple geometry of points and vectors. We will introduce the basics of the postscript programming language and illustrate our geometry with postscript graphics. We then study the basics of polynomials and the representation of computer-generated curves. We will work through some computational algorithms to efficiently compute points on curves.
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  • MA 309: Game Theory

    3.00 Credits
    Bentley University

    Prerequisite(s): MA 125, MA 126 or MA 139 Game theory is the study of strategic behavior of rational actors who are aware of the interdependence of their actions. Course topics include the extensive form tree representation and the key concepts of strategy space and strategy profile. The normal form game representation is developed and illustrated with classical games such as Prisoner's dilemma and Hawk-Dove. The discrete probability model is developed and applied to the concepts of player beliefs and mixed strategies. Solution concepts for games such as dominance and iterated dominance, best response curves, Nash equilibrium, and security strategies, are developed and compared.
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  • MA 310: Actuarial Topics in Probability and Risk Management

    3.00 Credits
    Bentley University

    Prerequisite(s): MA 233 and MA 243 or permission from department chair. (FI 327 recommended to be taken concurrently) Covers areas of differential, integral and multivariable calculus, and discrete and continuous probability necessary for the analysis and solution of risk management problems. Significant time will be spent examining typical complex problems and determining which mathematical technique(s) to apply. Students doing well in this course should be prepared to take the first exam of the Society of Actuaries and Casualty Actuary Society.
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  • MA 330: Actuarial Topics in Operations Research

    3.00 Credits
    Bentley University

    Prerequisite(s): MA 223, MA 225, MA 139, or instructor's permission An in-depth treatment of topics found on the actuarial examination in operations research. Practice tests analogous to the actuarial exam will be administered on each topic. Specific topics include linear, integer and dynamic programming; networks; decision theory; queuing theory; and simulation.
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  • MA 335: Financial Calculus and Derivative Pricing

    3.00 Credits
    Bentley University

    Prerequisite(s): MA139 or MA129 with IP or MA125 with IP; and ST241 or MA251 or GB205 The main part of this course is the Black-Scholes financial market model and its application to option pricing and hedging of contingent risk with dynamic replicating portfolios. Selected topics of the theory of ordinary differential equations, probability theory and statistics (taught as a separate module) are used as a necessary background for understanding important economic concepts. Students will become familiar with basic ideas lying behind the famous Black-Scholes formula, as well as learn how to use the Black-Scholes market model, what limitations and imperfections it has, how to set up and maintain the delta-neutral hedging portfolio, what alternatives to the model exist today and how practitioners use them. Students will see how fundamental mathematics is applied to a significant area of finance.
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