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MATH 36000: Real Analysis I Lecture Notes

math 36000: real Analysis I Lecture NotesCreated by: Dr. Amanda Harsyc Harsy 2020 July 20, 2020ic Harsy 2020iiContents1 Syllabus and Schedulev2 Syllabus Crib Office Hours .. Grades .. Expectations ..x3 Mathematical and Proof Example of a Basic Proof Rubric .. & Organization .. Idea: .. More Advanced Proof Rubric .. xvii4 Review and Preliminaries15 Ordered Fields -but I thought this was real Analysis ! .. Inequalities .. ICE 1: Ordered Fields ..96 The Axiom of Cuts .. Suprema, Infima, and Bounds .. Least Upper Bound Property ofR.. ICE 2: The Completeness Axiom.

MATH 36000: Real Analysis I Lecture Notes Created by: Dr. Amanda Harsy c Harsy 2020 July 20, 2020 i

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