MATH 254 - LINEAR ALGEBRA
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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 (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)
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)
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!)