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Course Criteria
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4.00 Credits
A deeper look at the fundamentals of calculus. Real numbers, point set theory, limits and the theory of continuity, differentiation and integration. Prerequisites: MATH:112 Calculus II, MATH:221 Discrete Structures. 4 SH.
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4.00 Credits
Calculus using complex numbers. Includes power series, analytic functions, poles, residues, contour integrals and applications. Prerequisites: MATH:211 Multivariate Calculus, MATH:221 Discrete Structures. 4 SH.
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2.00 Credits
Science and mathematics describe natural phenomena so well that lines between real world events and the corresponding theoretical world events have become blurred. Can computer models simulate key characteristics of life, such as behavior, motivation, reproduction, adaptation, perception, and even intelligence? Proponents of strong artificial life believe that computers will eventually serve not only to model life processes but will actually think and be alive. These contentions will be compared and contrasted with an emphasis on the current status and future implications of strong artificial life. This course is meant to be accessible to both majors and non-majors. Same as CSCI:434. Prerequisites: junior or senior standing and completion of the Mathematics/Logic and Science and Technology Core requirements. Does not count for mathematics or computer science major credit. 2 SH.
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4.00 Credits
A more detailed study of statistics. Topics include probability, multivariate distributions, Bayes' Theorem, statistical inference, estimation, decision theory, hypothesis testing, linear models and experimental design. Prerequisites: MATH:211 Multivariate Calculus, MATH:141 Introduction to Statistics. 4 SH.
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2.00 Credits
An introduction to the classical and contemporary theory of computation. Topics include the theory of automata and formal languages, computability by Turing machines and recursive functions, computational complexity and quantum computers. Same as CSCI:482. Prerequisites: MATH:221 Discrete Structures, CSCI:281 Data Structures. 2 SH.
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1.00 Credits
Experience in individual research and presentation of topics in mathematics. The one-hour version culminates in a presentation to an audience of faculty and students. The two-hour version also includes a paper. Prerequisite: senior major or department permission. 1 or 2 SH. Core: Capstone for 2 SH version.
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4.00 Credits
Subject depends on students' and instructor's interests. Possibilities include: number theory, set theoretic foundations of mathematics, topology, graph theory, differential geometry and applied mathematics. Whether the course counts as a 400-level course for majors will be announced along with the course description. Prerequisite: instructor's permissio n. 2 or 4 SH.
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4.00 Credits
Individual work for capable students under faculty supervision. Prerequisite: department approval and instructor's consent. Scheduled courses are approved for independent study only under extraordinary circumstances. Whether the course counts as a 400-level course for majors will be decided on an individual basis. 2 or 4 SH.
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4.00 Credits
A research project leading to a substantive paper on a selected topic in mathematics. By arrangement with a department instructor. Prerequisite: juniors and seniors with department permission. 2 or 4 SH.
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2.00 - 8.00 Credits
Full-time mathematics-related employment at an industrial firm or a public service organization. Prerequisite: senior status, appropriate mathematics background courses and permission of the department internship coordinator. S/U grade. 2, 4 or 8 SH.
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