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Item Summary - Linear Algebra
Linear Algebra
Collection
Open Textbook Resources
Description
The text covers the material of a first undergraduate Linear Algebra course. You can use it either as a main text, as a supplement to another text, or for independent study. Prerequisites: A semester of calculus; students with three semesters of calculus can skip a few sections. Each chapter has three or four discussions of additional topics and applications. …
Links To Resources
Details
Purchase Print Version of this Book
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Author/Creator (Digital Rights Manager)
Jim Hefferon
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Author/Creator (Digital Rights Manager) Details
jim@joshua.smcvt.edu
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Creator
Hefferon, Jim
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Role
Author
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ISBN
9781616100537
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Publication/Creation date
2008-07-24
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Full Description
The text covers the material of a first undergraduate Linear Algebra course. You can use it either as a main text, as a supplement to another text, or for independent study. Prerequisites: A semester of calculus; students with three semesters of calculus can skip a few sections. Each chapter has three or four discussions of additional topics and applications. These are suitable for independent study or for small group work. The approach is developmental. Although the presentation is focused on covering the requisite material by proving things, it does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class. Note: both the textbook and answers to exercises are included. Author suggests you save the two files in the same directory, so that clicking on an exercise will send you to its answer and clicking on an answer will send you to its exercise.
Go to: http://joshua.smcvt.edu/linalg.html/ to get the source. You need to know LaTeX and MetaPost to work with it; there is a readme file to get started and some optional material.
For instructors considering adoption: the author suggests looking at the second chapter. The first chapter is necessarily computational but the second chapter shows more clearly what the book works on: bridging between lower-division mathematics with its reliance on explicitly-given algorithms, and upper division college mathematics with its emphasis on concepts and proof.
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Type of review conducted on this item
Yes
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Keywords
linear systems, Gauss' method, vector spaces, linear maps and matrices, determinants, eigenvectors, eigenvalues, Linear Geometry of n-Space, Reduced Echelon Form, Linear Independence, basis and dimension, Maps Between Spaces, Determinants, Similarity, 9781616100537
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Language
en-US
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Requirement Name
Adobe Reader
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Interactivity type
Expositive
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Learning resource type
Diagram, Figure, Graph, Narrative text, Problem statement, Textbook
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Educational context
Higher Education
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ERIC Thesaurus Terms
Mathematics
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FL Statewide Course Numbers (Higher Ed)
MAS 103 - INTRODUCTORY LINEAR ALGEBRA I, MAS 105 - LINEAR ALGEBRA I (CALC. II PREREQU)
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Rights statement
This text is Free. Use it under either the GNU Free Documentation License http://www.gnu.org/copyleft/fdl.html or the Creative Commons LicenseCreative Commons Attribution-ShareAlike 2.5 License [http://creativecommons.org/licenses/by-sa/2.5/ ], at your discretion.
To bookstores: in particular, instructors have permission to make copies of this material, either electronic or paper, and sell those copies to students. Many schools use this text in this way. If you have further questions, please feel free to contact me at: jim@joshua.smcvt.edu
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