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Course Criteria
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3.00 Credits
A study of the properties of the natural numbers. Prime numbers, divisibility, congruences, Diophantine equations, and applications to cryptography. Prereq: MATH 152; QL; M. Armon
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3.00 Credits
A study of the evolution of mathematical ideas from ancient to modern times. Prereq: MATH 152; QL; A. Leahy
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3.00 Credits
An introduction to the key mathematical ideas and techniques that support the two main arms of the area of Financial Mathematics: portfolio optimization and option valuation. The mathematics of personal finance including interest, loans, and annuities, probability modeling for finance, single-period portfolio optimization, utility theory, introduction to the CAPM model, linear programming methods, single-period valuation of futures and options, and multiple time period asset models using Markov chains. Prereq: MATH 205 and MATH 210, or permission of the instructor; K. Hastings
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3.00 Credits
A study of equations involving functions and their derivatives. First and second order equations, linear algebra and systems of linear differential equations, numerical and graphical approximations, and elementary qualitative analysis. Prereq: MATH 205; MATH 210 recommended; QL; STAFF
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3.00 Credits
A rigorous study of the mathematical structures which form the foundation of higher mathematics. Set theory, logic, formal development of the number systems from the natural numbers through the complex numbers, basic algebraic structures (groups, rings and fields), and elementary topological concepts. Prereq: MATH 210 or MATH 230; QL; W; STAFF
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3.00 Credits
An advanced study of the mathematics of numerical approximation. Error in computation, interpolation, and approximation. Numerical methods of integration, numerical solution to systems of linear equations, ordinary differential equations, and nonlinear equations. Basic notions of computational complexity. Prereq: MATH 210 and some programming experience; QL; A. Leahy
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3.00 Credits
A rigorous study of the fundamental ideas of point-set topology. Metric spaces, topological spaces, separation, compactness, connectedness, homeomorphism. Prereq: MATH 300; QL; STAFF
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3.00 Credits
An advanced study of probability theory. Sample spaces, random variables and their distributions, conditional probability and independence, transformations of random variables. Prereq: MATH 205 and MATH 210; QL; W; K. Hastings
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3.00 Credits
A rigorous study of the theory of statistics with attention to its applications. Point and interval estimation, hypothesis testing, regression and correlation, goodness-of-fit testing, analysis of variance. Prereq: MATH 321; QL; K. Hastings
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3.00 Credits
A rigorous treatment of methods and algorithms for optimization problems, with applications to business and economics and other areas. Networks, linear programming, Markov chains, Poisson processes, queueing theory, dynamic programming. Prereq: MATH 321; QL; K. Hastings
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