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  • Mathematics 202: Cryptography

    3.00 Credits
    Wheaton College - Massachusetts

    We live in an ocean of information and secrets, surrounded by codes and ciphers. Actions as prosaic as making a call on a cellphone, logging onto a computer, purchasing an item over the Internet, inserting an ATM card at the bank or using a satellite dish for TV reception all involve the digitizing and encrypting of information. Companies with proprietary data and countries with classified information: all kinds of organizations need a way to encode and decrypt their secrets to keep them hidden from prying eyes. This course will develop from scratch the theoretical mathematics necessary to understand current sophisticated crypto-systems, such as the government, industry and Internet standards: the public-key RSA, the DE, and the Rijndael codes. (Bill Goldbloom Bloch) Connections: Conx 20038 Top Secret
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  • Mathematics 211: Discrete Mathematics

    3.00 Credits
    Wheaton College - Massachusetts

    Combining the iron rules of logic with an artist's sensitivity is part of the aesthetics of a mathematical proof. Discrete mathematics is the first course that asks students to create their own rigorous proofs of mathematical truths. Relations and functions, sets, Boolean algebra, combinatorics, graph theory and algorithms are the raw items used to develop this skill. (Rochelle (Shelly) Leibowitz) Connections: Conx 20018 Communicating Information
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  • Mathematics 212: Differential Equations

    3.00 Credits
    Wheaton College - Massachusetts

    Since the time of Newton, some physical processes of the universe have been accurately modeled by differential equations. Recent advances in mathematics and the invention of computers have allowed the extension of these ideas to complex and chaotic systems. This course uses qualitative, analytic and numeric approaches to understand the long-term behavior of the mathematical models given by differential equations. (Bill Goldbloom Bloch, Rachelle C. DeCoste)
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  • Mathematics 216: Computational Molecular Biology

    3.00 Credits
    Wheaton College - Massachusetts

    Mathematical models and computer algorithms played a role in sequencing the human genome and continue to play a role as biologists deal with enormous amounts of data that need to be processed and analyzed. This course deals with the theory (but not computer programming) of the computational techniques used in molecular biology. (Rochelle (Shelly) Leibowitz)
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  • Mathematics 217: Voting Theory

    3.00 Credits
    Wheaton College - Massachusetts

    This course examines the underlying mathematical structures and symmetries of elections to explain why different voting procedures can give dramatically different outcomes even if no one changes their vote. Other topics may include the Gibbard- Satterthwaite Theorem concerning the manipulation of elections, Arrow's Impossibility Theorem, measures of voting power, the theory of apportionment, and nonpolitical applications of consensus theory. (Tommy Ratliff) Connections: Conx 20002 Voting Theory, Math and Congress
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  • Mathematics 221: Linear Algebra

    3.00 Credits
    Wheaton College - Massachusetts

    How might you draw a three-dimensional image on a two-dimensional screen and then "rotate"it What are the basic notions behind Google's original, stupefyingly efficient search engine After measuring the interacting components of a nation's economy, can one find an equilibrium Starting with a simple graph of two lines, and their equations, we develop a theory for systems of linear equations that answers questions like those posed here. This theory leads to the study of matrices, vectors, linear transformations and geometric properties for all of the above. We learn what "perpendicular" means inhigh-dimensional spaces and what "stable" meanswhen transforming one linear space into another. Topics also include: matrix algebra, determinants, eigenspaces, orthogonal projections and a theory of vector spaces. Connections: Conx 20045 Mathematical Tools for Chemistry
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  • Mathematics 236: Multivariable Calculus

    3.00 Credits
    Wheaton College - Massachusetts

    This course is a continuation of the rich field of ideas touched upon in Calculus II and extends the ideas of the derivative, the integral and optimization to functions that depend on several variables. Topics include vector-valued functions, multiple integrals, alternate coordinate systems, the gradient, vector calculus and Green's Theorem. Connections: Conx 20045 Mathematical Tools for Chemistry
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  • Mathematics 241: Theory of Probability

    3.00 Credits
    Wheaton College - Massachusetts

    This course is an introduction to mathematical models of random phenomena and process, including games of chance. Topics include combinatorial analysis, elementary probability measures, conditional probability, random variables, special distributions, expectations, generating functions and limit theorems. (Michael Kahn)
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  • Mathematics 251: Methods of Data Analysis

    3.00 Credits
    Wheaton College - Massachusetts

    Second course in statistics for scientific, business and policy decision problems. Case studies are used to examine methods for fitting and assessing models. Emphasis is on problem-solving, interpretation, quantifying uncertainty, mathematical principles and written statistical reports. Topics: ordinary, logistic, poisson regression, remedial methods, experimental design and resampling methods. (Michael Kahn)
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  • Mathematics 285: Mathematical and Statistical Consulting

    3.00 Credits
    Wheaton College - Massachusetts

    Teams of students explore current problems of interest acquired from area businesses and government agencies. The student groups construct and determine appropriate techniques for investigating and solving clients' problems. Each group meets clients regularly to provide progress report. Results of investigations are delivered by way of scholarly report and professional presentation to the sponsoring organization. (Michael Kahn, Tommy Ratliff)
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