Course Description
Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some pointset topology, including some work in Euclidean nspace.
MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on pointset topology and nspace, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2space (the plane) and its pointset topology. Option C (18.100C) is a 15unit variant of Option B, with further instruction and practice in written and oral communication.
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As Taught In:  Fall 2012 
Level: 
Undergraduate
