MAT237Y1 Study Guide - Final Guide: Multivariable Calculus, Folland Aircraft, Closed Set

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12 Sep 2019
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In the second week (and somewhat more) of lectures, we will nish our treat- ment of topics from the previous set of notes, and we will start considering: sequences, completeness and compactness. Tasks for students: in folland"s advanced calculus, read the following. Section 1. 5, omitting the discussion of cauchy sequences (end of the section, starting at the bottom of page 29, after another way to express ). Section 1. 6, omitting the discussion of the heine-boreal theorem (end of the section, starting near the top of page 32, after compactness has another consequence ): start working on practice problems, see section 3 below. Even before you start working on the practice problems, it is recommended that you read section 3. 1, which contains some material that may be useful for homework. Important points include: some notational points not conceptually di cult but important to be familiar with them.