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Course Criteria
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3.00 Credits
This course examines the applications of basic concepts of abstract and linear algebra to problems of the real world, such as cryptography, error-correcting codes, and symmetry groups. The major goal of the course is to show that algebraic abstractions can be used to refine our understanding of many scientific phenomena. This course is oriented to both math majors and science majors. The former learn about applied examples of pure mathematical objects, and the latter consider what mathematical principles govern certain scientific ideas. Previous knowledge of abstract algebra is helpful but not assumed. Prerequisite(s): Mathematics 205 and Mathematics s21. Recommended background: Mathematics 309. Staff.
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3.00 Credits
The content varies. Recent topics have included number theory and an introduction to error-correcting codes. Staff.
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3.00 Credits
Over a century ago, Lord Kelvin's theory of the atom suggested that understanding the knotting phenomenon that occurs between atoms would provide insights into chemistry. Since then, sophisticated mathematical tools have been developed in order to classify knots. Recent works of V. Jones (1985) and of E. Witten (1989) have made important contributions to chemistry, molecular biology, and theoretical physics. This course introduces the mathematics behind the classical theory of knots. Combinatorial, geometric, and algebraic techniques are presented. Prerequisite(s): Mathematics 205, 206, and s21. Enrollment limited to 30. P. Wong.
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3.00 Credits
Game theory provides a mathematical framework for analyzing situations where individuals (or companies, political parties, or nations) are faced with the prospect of maximizing their own well-being, dependent on the decisions of others. How can one decide on the best strategy How can we mathematically model such abstract notions as fairness and rationality After an introduction to the basics of game theoretic methods, students consider its applications to anthropology, warfare, economics, politics, philosophy, biology, and the NFL draft. Prerequisite(s): Mathematics 105. Not open to students who have received credit for Mathematics 395G. Enrollment limited to 30. B. Shulman.
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3.00 Credits
Amusement park roller coasters excite us, scare us, and capture our imagination. What records will designers break next How do they create rides that are exhilarating, yet physically safe A scientific contemplation of these questions requires math and physics concepts such as vectors, parametric equations, curvature, energy, gravity, and friction. Students consider these ideas, gaining background in basic and more advanced math and physics. During the second half of the course, students conceive and design projects to study specific aspects of roller coasters. Prerequisite(s): Mathematics 105. Enrollment limited to 25. M. Greer.
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3.00 Credits
In how many ways can we put twenty letters in addressed envelopes such that no letter goes into the correct envelope In how many ways can we seat ten people around a table so that two of them who are friends are seated next to each other Techniques for enumeration have been developed over centuries to answer such questions. This course covers the basic methods of counting via binomial coefficients and bijections. Through projects, students apply the methods to explore algebraic structures such as permutations, magic squares, and symmetric structures that are useful in computer science and coding theory. Recommended background: Mathematics s21. Prerequisite(s): Mathematics 205. P. Jayawant.
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3.00 Credits
Students, in consultation with a faculty advisor, individually design and plan a course of study or research not offered in the curriculum. Course work includes a reflective component, evaluation, and completion of an agreed-upon product. Sponsorship by a faculty member in the program/department, a course prospectus, and permission of the chair are required. Students may register for no more than one independent study during a Short Term. May not be used to fulfill the requirement for the mathematics major or concentration in mathematics. Normally offered every year. Staff.
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3.00 Credits
The history of the twentieth century can be understood in terms of of the increasing African-Americanization of music in the West. The rapid emergence and dissemination of African American music made possible through recording technologies has helped to bring about radical cultural change: it has subverted received wisdoms about race, gender, and sexuality, and has fundamentally altered our relationship to time, to our bodies, to our most basic cultural priorities. This course explores some crucial moments in the history of this African-Americanization of popular music and helps students develop an understanding of the relationship between musical sound and cultural practice. Open to first-year students. Enrollment limited to 40. J. Woodruff.
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3.00 Credits
Designed for students interested in performing arts cultures based outside the West, this course introduces selected historical and contemporary musical traditions of mainland and island Southeast Asia. The integration of music, dance, theater, and ritual is a unifying theme of the course. Special attention is given to historical and contemporary gong-chime cultures of the region. The study of Southeast Asian arts contributes to students' understanding of the region. Several practical sessions, in which students learn to play instruments of the Bates Gamelan Orchestra, enhance the grasp of formal principles common to a variety of Southeast Asian musics. Prerequisite(s): any course in music or Asian studies. Open to first-year students. [W2] G. Fatone.
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3.00 Credits
The atelier offers composers, performers, choreographers, and other artists the opportunity to collaborate using new technologies. Meeting in the Bates Computer Music Studio, students work together with interactive music and video software to create performances. Work in progress is shown weekly, then performed in public on and off campus. Recommended background for music majors: Music 222 and either 235 or 237. Enrollment limited to 16. Instructor permission is required. W. Matthews.
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