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Course Criteria
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1.00 Credits
Rigorous study of the real numbers and real-valued functions. Topics include: limits and continuity on the real line, elementary topology of the real numbers, pathological examples. Other topics may include metric spaces, differentiation, vector-valued functions. Prerequisite: MATH 253 or consent of instructor Offering: Twice every five semesters Instructor: Staff
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1.00 Credits
A continuation of MATH 446. Topics include: Differentiation and Riemann integration, sequences of functions. Other topics may include point-set topology of the reals, vector-valued functions, topological vector spaces, Lebesgue intetration, introductory measure theory. Prerequisite: MATH 446 Offering: Alternate years Instructor: Staff
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1.00 Credits
Number systems, elementary number theory, groups, rings, fields, polynomials and applications. Additional topics may be chosen from linear algebra, multilinear algebra, Sylow theory and Galois theory. Prerequisite: MATH 253 or consent of instructor Offering: Alternate years Instructor: Staff
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1.00 Credits
Course will build on the topics studies in MATH 456, Abstract Algebra I. In addition to Groups, Rings, and Fields, topics may include Galois Theory, Sylow Theory, Cayley Graphs, etc. . Prerequisite: MATH 456 or consent of instructor Offering: Alternate years Instructor: Staff
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1.00 Credits
Elementary point-set topology with an introduction to combinatorial topology and homotopy. Prerequisite: MATH 251, 253 or consent of instructor Offering: Alternate years Instructor: Staff
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1.00 Credits
A modern approach to geometry. Topics will be chosen from Euclidean, non-Euclidean, affine, projective and differential geometry. Prerequisite: MATH 253 or consent of instructor Offering: Twice every five semesters Instructor: Staff
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1.00 Credits
This course offers timely exposure to topics in mathematics which are not part of the regular curriculum. Examples of topics which might be offered: Cryptology, Differential Geometry, Vector Analysis, Topology. Offering: On demand Instructor: Staff
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0.50 Credits
Directed research to investigate topics of special interest under the guidance of a faculty member. Topics chosen on the basis of the background and interests of the individual student. Prerequisite: Consent of instructor Offering: On demand Instructor: Staff
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0.50 Credits
A course of directed research designed to enable the exceptional student to continue the investigation of topics of special interest under the guidance of a faculty member. Prerequisite: Consent of instructor Offering: On demand Instructor: Staff
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1.00 Credits
Study selected in consultation with the mathematics faculty and presented to the class. The seminar serves as the Senior Year Experience and involves oral and written presentation of research and reading topics. Required for Mathematics majors. General Education Fulfilment Requirements: Writing-Centered Prerequisite: Senior standing and consent of instructor Offering: Spring Instructor: Staff
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