**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.

These are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is
compatible with your system!

* Class Notes*

** FRONT PAGES**

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

**Textbook I
used: **__Elementary Linear
Algebra: Special Edition for San Diego Mesa College (4 ^{th} 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)*

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, 4 ^{th} Ed. for Mesa
College)**

Chs.1,2,3
Chs.4,5
Chs.6,7
Ch.8

* 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**

http://tutorial.math.lamar.edu/

(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!

http://www.calc101.com/webMathematica/sketch.jsp

Find derivatives
using a Mathematica engine! Step-by-step assistance!

http://www.calc101.com/webMathematica/MSP/Calc101/WalkD

Do integrals!

http://www.drmath.com/dr.math

(Frequently asked
questions and extensions
)

(A wonderful
collection of games, puzzles, interesting math, and other neat stuff!)

http://www.math.hmc.edu/funfacts

(Interesting topics
in a variety of mathematical fields!)