Linear Algebra, Jim Hefferon

Linear Algebra, Jim Hefferon - Linear Algebra by Jim...

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Linear Algebra by Jim Hefferon Mathematics Saint Michael's College Colchester, Vermont USA 05439 This text Linear Algebra is free for downloading. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. A separate file with all answers, fully worked, is also freely downloadable. What's Linear Algebra about? When I started teaching this subject I found three kinds of texts. There were applications books that avoid proofs and cover the linear algebra only as needed for their applications. There were advanced books that assume that students can understand their elegant proofs and know how to answer the homework questions having seen only one or two examples. And, there were books that spend a good part of the semester multiplying matrices and computing determinants and then suddenly change level to working with definitions and proofs. In my classroom each of these types was a problem. The applications were interesting but I wanted to focus on the linear algebra. The advanced books were beautiful but my students were not ready for them. And the level-switching books resulted in a lot of grief: students estimated that these were like calculus books, where there is material labelled `proof' that can skipped in favor of computations, and when the level switched no amount of prompting by me could convince them otherwise. That is, my students cannot now perform at the level assumed by the advanced books. But my goal is to work steadily to have them come up to that level over the undergraduate program. This course is a great place to make progress on this goal.
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