In this assignment from M.I.T.’s communication-intensive offering of Real Analysis, students develop and evaluate various definitions for the notion of a “gap” in a set. The assignment was developed by the 18.100C team, especially Craig Desjardins and Joel Lewis, with modifications by Kyle Ormsby and Susan Ruff. This is the first assignment of the term that requires students to use LaTeX, so students must submit at least one LaTeXed page two days before the assignment is due. This “draft” due date ensures that they devote time to figuring out the basics of LaTeX early enough that they can devote time

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Context: This lesson plan is from a weekly communication recitation that accompanies M.I.T.’s Real Analysis (18.100C). This plan is for the first recitation of the term. This week in lecture students learn about sets & fields and the real numbers (Rudin pp. 1-17). Likely trouble spots for students at this point in the term are absorbing many new definitions at once and expressing math concepts formally and rigorously. Authors: The lesson was developed primarily by Craig Desjardins and Joel B. Lewis and has been further refined by Kyle Ormsby. The commentary below is by Joel Lewis and Susan Ruff. Communication

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