Real analysis

Lectures: 2 sessions / week, 1.5 hours / session

Recitations: 1 session / week, 1 hour / session

18.02 Multivariable Calculus; 18.03 Differential Equations; or 18.034 Honors Differential Equations

This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts and teaches an understanding and construction of proofs. MIT students may choose to take one of three versions of Real Analysis; this version offers three additional units of credit for instruction and practice in written and oral presentation.

The three options for 18.100:

Rudin, Walter. Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics). 3rd ed. McGraw-Hill, 1976. ISBN: 9780070542358.

Apostol, Tom M. Mathematical Analysis. 2nd ed. Pearson Education, 1974. ISBN: 9780201002881.

Spivak, Michael. Calculus. 4th ed. Publish or Perish, 2008. ISBN: 9780914098911.

Note: In order to pass the course, you do have to satisfy the minimum requirements for the CI recitations, including attendance.

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