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18.701 Algebra I

Prereq: 18.100A, 18.100B, 18.100P, 18.100Q, or permission of instructor
U (Fall)
12 Units

More extensive and theoretical than the 18.700-18.703 sequence. Experience with proofs necessary. First term: group theory, geometry, and linear algebra. Second term: group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, Galois theory.

M. Artin

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Mathematics (Course 18)

http://catalog.mit.edu/degree-charts/mathematics-course-18/

General Institute Requirements (GIRs) The General Institute Requirements include a Communication Requirement that is integrated into both the HASS Requirement and the requirements of each major; see details below. Summary of Subject Requirements Subjects Science Requirement 6 Humanities, Arts, and Social Sciences (HASS) Requirement; at least two of these subjects must be designated as communication-intensive (CI-H) to fulfill the Communication Requirement. 8 Restricted Electives in Science and Technology (REST) Requirement [one subject can be satisfied by 18.03 in the Departmental Program] 2 Laboratory Requirement (12 units) 1 Total GIR Subjects Required for SB Degree 17 Physical Education Requirement Swimming requirement, plus four physical education courses for eight points. Departmental Program Choose at least two subjects in the major that are designated as communication-intensive (CI-M) to fulfill the Communication Requirement.

Mathematics with Computer Science (Course 18-C)

http://catalog.mit.edu/degree-charts/mathematics-computer-science-course-18-c/

General Institute Requirements (GIRs) The General Institute Requirements include a Communication Requirement that is integrated into both the HASS Requirement and the requirements of each major; see details below. Summary of Subject Requirements Subjects Science Requirement 6 Humanities, Arts, and Social Sciences (HASS) Requirement; at least two of these subjects must be designated as communication-intensive (CI-H) to fulfill the Communication Requirement. 8 Restricted Electives in Science and Technology (REST) Requirement [can be satisfied by 18.03 or 18.06 and 18.062[J] (if taken under joint number 6.042[J] ) in the Departmental Program] 2 Laboratory Requirement (12 units) [can be satisfied by 6.009 in the Departmental Program] 1 Total GIR Subjects Required for SB Degree 17 Physical Education Requirement Swimming requirement, plus four physical education courses for eight points. Departmental Program Choose at least two subjects in the major that are designated as communication-intensive (CI-M) to fulfill the Communication Requirement.

Department of Mathematics

http://catalog.mit.edu/schools/science/mathematics/

The Department of Mathematics offers training at the undergraduate, graduate, and postgraduate levels. Its expertise covers a broad spectrum of fields ranging from the traditional areas of "pure" mathematics, such as analysis, algebra, geometry, and topology, to applied mathematics areas such as combinatorics, computational biology, fluid dynamics, theoretical computer science, and theoretical physics.