Context: This lesson plan is from a weekly communication recitation that accompanies M.I.T.’s Real Analysis (18.100C). This week students learn about the Taylor series and the Stieltjes integral (Rudin pp. 120-127). This recitation is often combined with Recitation 9b on proof elegance. Authors: This recitation was developed by Craig Desjardins, Joel B. Lewis, Todd Kemp, Mohammed Abouzaid, Peter Speh, Kyle Ormsby, and Susan Ruff Communication objectives: Structure proofs (and collections of statements) to help readers follow the logic. Recitation: This recitation varies each term depending on instructor inclinations. Some topics covered include the following: Claims, lemmas, propositions, theorems, corollaries, etc.

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