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Course Criteria
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4.00 Credits
Fall: Guichard ; Spring: Balof The first semester is an introduction to groups and rings, including subgroups and quotient groups, homomorphisms and isomorphisms, subrings and ideals. Topics for the second semester may include fields, simple groups, Sylow theorems, Galois theory, and modules. Prerequisite: Mathematics 260.
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4.00 Credits
not offered 2008-09 First semester: a rigorous study of the basic concepts of real analysis, with emphasis on real-valued functions defined on intervals of real numbers. Topics include sequences, continuity, differentiation, integration, infinite series, and series of functions. Second semester: content varies from instructor to instructor but includes topics from metric spaces, the calculus of vector-valued functions, and more advanced integration theory. Prerequisite: Mathematics 260.
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3.00 Credits
An introduction to numerical approximation of algebraic and analytic processes. Topics include numerical methods of solution of equations, systems of equations and differential equations, and error analysis of approximations. Prerequisite: Mathematics 167; pre- or corequisite: Mathematics 300.
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1.00 - 3.00 Credits
On occasion, the mathematics department will offer courses on advanced topics in mathematics that are not found in other course offerings. Possible topics include topology, number theory, and problem solving.
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3.00 Credits
In this course, we will study public key cryptosystems. This is a mathematics course and the emphasis will be placed on cryptosystems with interesting mathematical structure. For this reason, we will sometimes study systems that are not ideal from a practical standpoint. We will concern ourselves primarily with the structure of the systems and limit our study of their actual implementation and security. Prerequisite: Math 300.
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1.00 - 3.00 Credits
Staff A reading or research project in an area of mathematics not covered in regular courses. The topic is to be selected by the student in consultation with the staff. Maximum of six credits. Prerequisite: consent of supervising instructor.
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3.00 Credits
Preparation of the senior project required of all graduating mathematics majors. Aid will be given in choosing a senior project during the first two weeks. Once a project is defined, each student will be matched with a faculty mentor from the math department. Short oral reports will be given weekly for the remainder of the semester on the progress of the senior project.
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3.00 Credits
Finalization of the senior project for mathematics majors. A final written and oral report on the senior project is completed and submitted. During the semester drafts of the senior report are submitted regularly and evaluated for content and style. Proper mathematical writing will be emphasized.
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3.00 Credits
Staff Preparation of an honors thesis. Required of and limited to senior honors candidates in mathematics. Prerequisite: admission to honors candidacy.
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1.00 - 3.00 Credits
Music reading including treble and bass clefs, rhythms, accidentals, and notation procedures. Offered first half of the fall semester only. Prerequisite: the ability to discern if pitch is rising or falling; to be able to match pitches played on the piano with the voice. Corequisite: enrollment in private lessons or an ensemble, or consent of instructor.
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