In this writing assignment from M.I.T.’s communication-intensive offering of Real Analysis, students choose 1 from among 3 (or so) proofs to write for their peers. The choice of problems varies each year depending on which problems have already been assigned for homework. We include the assignments from a few different years here to illustrate the range of problems assigned. It may be wise to warn students if some problems in an assignment are more challenging than others. For example, the Fall 11 assignment contains problems of different difficulty levels (“WritingAssignment2”). Many (but not all) of the problems come from Rudin.
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This concise assignment directs students to critique each other’s writing. Includes a rubric that will be used to grade the critique. From MIT’s communication-intensive offering of Real Analysis.
Read more →This worksheet is about how changing the order of quantifiers changes the meaning of a mathematical statement. It was created by Todd Kemp and modified by Kyle Ormsby for M.I.T.’s communication-intensive offering of Real Analysis.
Read more →The logic exercises in this assignment require students to translate between formal notation and conceptual language, to learn to LaTeX a table, and to include a figure in a LaTeX document. The assignment is from the second week of M.I.T.’s communication-intensive offering of Real Analysis. It was developed by the 18.100C team, especially Todd Kemp and Joel Lewis.
Read more →These drafts of an article by Mark McLean illustrate how a proof can be improved by pulling out a lemma. Although the article is on an analysis topic beyond the understanding of Real Analysis students, Mohammed Abouzaid has drawn attention to the structure of the article by highlighting relevant guiding text, so the improvement caused by pulling out a lemma is clear.
Read more →The most advanced in a sequence of LaTeX exercises, this homework asks students to use LaTeX to create presentation slides that include an image with LaTeX labels. From MIT’s communication-intensive offering of Real Analysis.
Read more →A LaTeX skeleton for an analysis problem set (pre-populated with Rudin as a bibliography item, but otherwise blank).
Read more →Part of a series of incremental assignments designed to help students learn LaTeX, this assignment by Craig Desjardins asks students to make a figure of their choice and include it in a LaTeX document. The assignment is loosely specified, so this assignment will work best in a class of self-motivated learners.
Read more →This collection of resources for LaTeX novices includes a handout explaining how to get started with LaTeX as well as a template and a verbose template. The handout lists further resources.
Read more →This assignment provides guidance and a rubric to students as they critique each other’s proofs. From M.I.T.’s communication-intensive offering of Real Analysis.
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