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Course Criteria
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3.00 Credits
Prerequisite: MATH 101. Elementary probability and counting. Mean and variance of discrete and continuous random variables. Central Limit Theorem. Confidence intervals and hypothesis tests concerning parameters of one or two normal populations.
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3.00 Credits
A study of concepts fundamental to the analysis of finite mathematical structures and processes. These include logic and sets, algorithms, induction, the binomial theorem, and combinatorics.
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3.00 Credits
Prerequisite: MATH 121. A continuation of MATH 121. Applications of 121 include probability theory in finite sample spaces and properties of the binomial distribution. This course also includes relations on finite sets, equivalence classes, partial orderings, and an introduction to graph theory and enumeration.
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4.00 Credits
Prerequisite: MATH 101 or 121. The history and application of cryptography. Topics include private-key codes, the ENIGMA machine and other WWII codes, public-key codes, and the RSA system. Appropriate mathematics is introduced, as necessary, to understand the construction and use of these codes. Several assignments are themselves in code, and students must decipher them just to find out what the homework is. Dresden.
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4.00 Credits
Prerequisite: MATH 101 or 121, depending on course topic. A selected mathematical topic of current widespread interest.
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3.00 Credits
Prerequisite: MATH 118, MATH 309, or INTR 202. Theory and applications of the General Linear Model, including analysis of variance and covariance, multiple regression, and experimental design.
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3.00 Credits
Prerequisite: The equivalent of MATH 102 with C grade or better. Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green’s Theorem.
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3.00 Credits
MATH 222 - Linear Algebra Credits: 3 Prerequisite: MATH 221. Introductory linear algebra: systems of linear equations, matrices and determinants, vector spaces over the reals, linear transformations, eigenvectors, and vector geometry.
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4.00 Credits
Prerequisite: MATH 102. Mathematical modeling of fish populations in rivers and electric power generation/distribution, two separate but sometimes related systems, the analysis of which can provide essential information for wise policy decision making. Examples of specific questions that might be addressed include: How should a modern electricity grid be designed to minimize loss of electricity and to accommodate use of new energy-generating technologies? How may hydroelectric power generation affect the relationship between native and non-native fish populations in rivers? The class will be divided into teams, each of which will complete an in-depth analysis of one particular question. Crowley.
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4.00 Credits
Prerequisite: Six credits of mathematics or a grade of at least B in MATH 102. Basic analytical tools and principles useful in mathematical investigations, from their beginning stages, in which experimentation and pattern analysis are likely to play a role, to their final stages, in which mathematical discoveries are formally proved to be correct. Strongly recommended for all prospective mathematics majors. McRae.
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