MATH 254 - LINEAR ALGEBRA

 Printing Suggestions for Typed Files

I recommend two-page-to-a-side and/or double-sided printing to save paper. If the typed print is too small, try something like Page Setup: Scale: 110%, unless print gets cut off (100% may be better for handwritten notes). Color printing is nice, but B&W printing is cheaper.

 Class Notes

 FRONT PAGES

For attribution, simply mention my name and/or web URL somewhere if youre using huge chunks of the notes. I simply want due credit.

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 7 (Eigenvalues and Eigenvectors) -- 29 pages (see Reviews)

 BIG FILE: Chapter 7 notes (handwritten)

includes Eigenvalues Handout --

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)

Quiz 1 (Chapters 1, 2, and 3) -- Solutions

Quiz 2 (Chapter 4) -- Solutions

Quiz 3 (Chapters 5 and 6) -- Solutions

Quiz 4 (Chapters 7 and 8) -- Solutions

Final (Chapters 1-8) -- Solutions

 Current Exams and Solutions (Summer 2002)

Midterm 1 (Chapters 1, 2, and 3) -- Solutions

Midterm 2 (Chapters 4 and 5) -- Solutions

Midterm 3 (Chapters 6 and 7) -- Solutions

Final (Chapters 1-8) -- Solutions

 Syllabi: Syllabus (Summer 2002)  Syllabus (Summer 2001)

 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!

 Web Sites

 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!

Do integrals!

(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!)