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Lecture Notes for Abstract Algebra I - supermath.info
Abstract algebra is a relatively modern topic in mathematics. In fact, when I took this course it was called Modern Algebra. I used the fourth ed. of Contemporary Abstract Algebra by Joseph Gallian. It happened that my double major in Physics kept me away from the lecture time for the course. I learned this subject rst from reading Gallian’s ...
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Lecture Notes for Advanced Calculus - supermath.info
www.supermath.infoThe 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.
Lecture Notes for Advanced Calculus - supermath.info
www.supermath.infoAdvanced Calculus course. Linear algebra is not a prerequisite for this course. However, I will use linear algebra. Matrices, linear transformations and vector spaces are necessary ingredients for a proper discussion of ad-vanced calculus. I believe an interested student can easily assimilate the needed tools as we go so I
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www.supermath.info3 Xmatrix of linear transformation Xchange of basis on vector space Xgeometry of Euclidean Space Xorthogonal bases and the Gram-Schmidt algorthim
11. SEQUENCES AND SERIES - supermath.info
www.supermath.infoto 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.
5. APPLICATIONS OF DERIVATIVES
www.supermath.infoLinearization 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 …
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