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18.100B Analysis I, Fall 2002

Math series expression.
Problem 5 from the Practice Final Exam.  (Image courtesy of Prof. Richard Melrose.)

Highlights of this Course

This undergraduate level course offers lecture outlinesproblem sets with solutions, as well as exams and practice exams with solutions provided.

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Course Description

Analysis I covers fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. MIT students may choose to take one of the two versions of 18.100. Option A chooses less abstract definitions and proofs, and gives applications where possible. Option B is more demanding and for students with more mathematical maturity; it places more emphasis on point-set topology and n-space, whereas Option A is concerned primarily with the real line.
 

Staff

Instructor:
Prof. Richard B. Melrose

Course Meeting Times

Lectures:
Two sessions / week
1.5 hours / session

Level

Undergraduate

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