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18.100P Real Analysis

Prereq: Calculus II (GIR)
U (Spring)
15 Units

Four options offered, each covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Each option shows the utility of abstract concepts and teaches understanding and construction of proofs. Option A: Proofs and definitions are less abstract. Gives applications where possible. Concerned primarily with the real line. Option B: More demanding; for students with more mathematical maturity. Places more emphasis on point-set topology and n-space. Option P: 15-unit (4-0-11) variant of Option A, with further instruction and practice in written communication. Option Q: 15-unit (4-0-11) variant of Option B, with further instruction and practice in written communication.Enrollment limited in Options P and Q.

Information: R. B. Melrose

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Credit cannot also be received for 18.1001, 18.100A, 18.100B, 18.100Q

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.

Mathematical Economics (Course 14-2)

...18.100B , 18.100P , and 18.100Q , also satisfy this requirement. 18.100P and 18...

Department of 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.