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MATH 217: Number Theory
3.00 Credits
Knox College
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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MATH 217 - Number Theory
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MATH 218: History of Mathematics
3.00 Credits
Knox College
A study of the evolution of mathematical ideas from ancient to modern times. Prereq: MATH 152; QL; A. Leahy
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MATH 218 - History of Mathematics
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MATH 227: Introductory Financial Mathematics
3.00 Credits
Knox College
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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MATH 227 - Introductory Financial Mathematics
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MATH 230: Differential Equations
3.00 Credits
Knox College
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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MATH 230 - Differential Equations
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MATH 300: Mathematical Structures
3.00 Credits
Knox College
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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MATH 300 - Mathematical Structures
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MATH 311: Scientific Computing
3.00 Credits
Knox College
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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MATH 311 - Scientific Computing
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MATH 313: Topology
3.00 Credits
Knox College
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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MATH 313 - Topology
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MATH 321: Mathematical Statistics I
3.00 Credits
Knox College
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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MATH 321 - Mathematical Statistics I
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MATH 322: Mathematical Statistics II
3.00 Credits
Knox College
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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MATH 322 - Mathematical Statistics II
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MATH 325: Introduction to Operations Research
3.00 Credits
Knox College
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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MATH 325 - Introduction to Operations Research
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