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Lecture Notes for Advanced Calculus - supermath.info

Lecture Notes for Advanced CalculusJames S. CookLiberty UniversityDepartment of MathematicsFall 20132introduction 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 algebra is not a prerequisite for this course. However, I will use linear algebra.

I required the text on Advanced Cal-culus by Edwards because it contains all the major theorems that traditionally are covered in an Advanced Calculus course. ... note on editing: ran a little short on time this summer, sorry but only pages 1-224 ok for printing at moment. The remaining 225 and beyond are only about 80% nished.

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Lecture Notes for Advanced Calculus - supermath.info

www.supermath.info

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

Lecture Notes for Linear Algebra

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3 Xmatrix of linear transformation Xchange of basis on vector space Xgeometry of Euclidean Space Xorthogonal bases and the Gram-Schmidt algorthim

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11. SEQUENCES AND SERIES - supermath.info

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to arrive at a logically consistent treatment of sequences and series. The better part of ... new sequences from old sequences in many of the same ways as we did for functions. If ... When we study the geometric series this limit will help us stay out of trouble.

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Lecture Notes for Abstract Algebra I

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Galois insight was to identify the patterns in Lagrange’s work which involved permutations of the roots of the equation. In retrospect, this was the birth of Group Theory. In short, Galois said there was a nice solution to a quintic if the Galois group is solvable. If a group is simple5 then it cannot be broken down further, they’re sort of ...

  Lecture, Notes, Theory, Abstracts, Algebra, Galois, Lecture notes for abstract algebra

5. APPLICATIONS OF DERIVATIVES

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Linearization of a function is the process of approximating a function by a line near some point. The tangent line is the graph of the linearization. ... The shape of a graph can be ciphered through analyzing how the ... always word problems pose extra troubles as …

  Applications, Linearization, Derivatives, Graph, Applications of derivatives

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