MATH 254 (LINEAR ALGEBRA)
SUMMER 2002
Exams and Solutions
DISCLAIMER: There is no guarantee that your tests will look anything like these!
Midterm 1 (Chapters 1, 2, and 3) -- Solutions
Midterm 2 (Chapters 4 and 5) -- Solutions
Eigenvalues Handout (Chapter 7: Section 7.1)
Homework
SUMMER 2001
Exams and Solutions
DISCLAIMER: There is no guarantee that your tests will look anything like these!
Quiz 1 (Chapters 1, 2, and 3) -- Solutions
Quiz 2 (Chapter 4) -- Solutions
Quiz 3 (Chapters 5 and 6) -- Solutions
CLASS NOTES
These are pdf files. Get the free Adobe Reader here: http://www.adobe.com
File title example: "M254010203" means "Math 254, Chapter 01, Section 02, Page 03."
Textbook I used:
Elementary Linear Algebra: Special Edition for San Diego Mesa College (4th Edition)
by Larson and Edwards. (Houghton Mifflin, 2000)
Chapter Reviews/Outlines -- 18 pages
Chapter 1 (Systems of Linear Equations) -- 35 pages (see Reviews)
Chapter 2 (Matrices) -- 34 pages (see Reviews)
Chapter 3 (Determinants) -- 21 pages (see Reviews)
Chapter 4 (Vector Spaces) -- 47 pages (see Reviews)
Chapter 5 (Inner Product Spaces) -- 17 pages (see Reviews)
Chapter 6 (Linear Transformations) -- 28 pages (see Reviews)
Chapter 7 (Eigenvalues and Eigenvectors) -- 26 pages (see Reviews)
Chapter 8 (Complex Vector Spaces) -- 22 pages (see Reviews)
Chapter Reviews/Outlines (again) -- 18 pages
Total thus far: 248 pages total
OTHER BOOKS
• 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!
• 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!)