Lecture Notes for Advanced Calculus - supermath.info

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Lecture Notes for Advanced CalculusJames S. CookLiberty UniversityDepartment of MathematicsFall 20112introduction and motivations for these notesThere are many excellent texts on portions of this subject. However, the particular path I choosethis semester is not quite in line with any particular text. I required the text on Advanced Cal-culus by Edwards because it contains all the major theorems that traditionally are covered in anAdvanced Calculus focus differs significantly. If I had students who had already completed a semester in realanalysis then we could delve into the more analytic aspects of the subject. However, real analy-sis is not a prerequisite so we take a different path.

The format of these notes is similar to that of my calculus and linear algebra and advanced calculus notes from 2009-2011. However, I will make a number of de nitions in the body of the text.

  Advanced, Calculus, Algebra, Advanced calculus