MATH 254 - LINEAR ALGEBRA
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Textbook I used: Elementary Linear Algebra: Special Edition for San Diego Mesa College (4th Edition) by Larson and Edwards. (Houghton Mifflin, 2000)
List of Topics (All Chapter Reviews) -- 18 pages
Chapter 1 (Systems of Linear Equations) -- 35 pages (see Reviews)
BIG FILE: Chapter 1 notes (handwritten)
Chapter 2 (Matrices) -- 34 pages (see Reviews)
BIG FILE: Chapter 2 notes (handwritten)
Chapter 3 (Determinants) -- 21 pages (see Reviews)
BIG FILE: Chapter 3 (pdf) (handwritten)
Chapter 4 (Vector Spaces) -- 47 pages (see Reviews)
BIG FILE: Chapter 4 notes (handwritten)
Chapter 5 (Inner Product Spaces) -- 17 pages (see Reviews)
BIG FILE: Chapter 5 (pdf) (handwritten)
Chapter 6 (Linear Transformations) -- 28 pages (see Reviews)
BIG FILE: Chapter 6 notes (handwritten)
ADDITIONAL NOTES ON NONSTANDARD BASES: Chapter 6 notes
Chapter 7 (Eigenvalues and Eigenvectors) -- 29 pages (see Reviews)
BIG FILE: Chapter 7 notes (handwritten)
includes Eigenvalues Handout -- Math254Eigenvalues.pdf
Chapter 8 (Complex Vector Spaces) -- 22 pages (see Reviews)
BIG FILE: Chapter 8 (pdf) (handwritten)
Total thus far: 251 pages
Old Exams and Solutions (Summer 2001)
Current Exams and Solutions (Summer 2002)
Homework Assignments (Summer 2002)
(based on Larson and Edwards, 4th Ed. for Mesa College)
Other Books (Later Editions May Be Available)
Linear Algebra and Its Applications (by David C. Lay)
Easy to read. Much more practical than theoretical. If you have the $$$, it may be a worthwhile purchase. My notes were partly inspired by this book.
Schaum's Outline of Linear Algebra (by Seymour Lipschutz)
Cheap! Has lots of solved problems! Many errors, though.
3,000 Solved Problems in Linear Algebra (also by Seymour Lipschutz)
Matrix Analysis and Applied Linear Algebra (by Carl Meyer)
For future study; an excellent advanced text if you really need this stuff!
Paul's Online Math Notes
(Great review notes on precalculus-level linear algebra.)
Math 141 (Precalculus) site
(Chapter 8 is on Matrices; Chapter 9 includes Induction)
The Calculus Page: A ton of links!
Mathematica web sites: Computer math! Get results fast!
Do calculus, algebra, and graphing!
Graph functions - a ton of info!
Find derivatives using a Mathematica engine! Step-by-step assistance!
(Frequently asked questions and extensions )
(A wonderful collection of games, puzzles, interesting math, and other neat stuff!)
(Interesting topics in a variety of mathematical fields!)