Math 5230 (Section 101) Homepage
News & Announcements
12/07 I just submitted final grades. Your "Almost Final Exam" grades and presentation/handout
grades are up on AsULearn as well as your final course averages (with letter grade attached
as a comment).
I've put the take home tests in mailboxes for those who have mailboxes. The rest of the take
homes are in the folder on my door. I'll leave them there until late Thursday afternoon - after
that just stop by my office while I'm here and I can give it to you.
I'll be on OCSA (essentially Sabbatical) in the spring, but I'll still be around a lot. If you
have any questions about your grade, mathematics, or anything else, don't hesitate to ask!
One more thing...I do plan on posting answer keys for the Big Quiz and Almost Final Exam. These
may be of help when studying for the comprehensive (for those who have to take it).
Merry Christmas!!!
11/30 Two examples of computing the Jordan form and exponential of a matrix as well
as an example of finding the square root of a matrix: Maple worksheet (.mw) (.pdf)
11/29 Almost Final Exam (.pdf) [Source: (.tex)] is due Monday, December 5 at 5pm.
Do no work together or ask for anyone's help with this exam (except me). You may
use books, notes, software, and existing resources online.
11/18 Linear Regression Examples (.mw) [(.pdf)]
11/16 Test #2 (.pdf) [source (.tex)]
11/15 Basic inner product space definitions (.pdf) [Source: (.tex)]
Gram Schmidt (.pdf) [Source: (.tex)]
11/02 Homework #7 (.pdf) [Source: (.tex)] is due Friday, November 11th.
11/01 Big Quiz is set for Wednesday, November 9th. It will cover basic
vector space, subspace, linear transformation, coordinate, and coordinate matrix
stuff. [Friedberg, et. al. chapters 1 & 2 and Hoffman & Kunze chapters 2 & 3.]
Coordinates vs. Coordinate Matrices (.pdf) [Source: (.tex)]
10/19 Homework #6 (.pdf) [Source: (.tex)] is due Wednesday, October 26th.
Coordinate Matrix Example (.pdf) [Source: (.tex)]
Kernel, Range, & Composition Example (.pdf) [Source: (.tex)]
10/10 Test #1 (and Answer Key) have been posted.
10/04 Homework #5 (.pdf) [Source: (.tex)] is due Monday (October 10th).
09/23 Looking at old tests are a good way to study for new tests. However, we have no old
tests for Math 5230! Fortunately, most of this test is Math 2240 review. So old 2240
tests should be of great help. Here are the relevant problems from those tests...
Old Exams Found Here
Fall 2012: Test #1: all of it.
Test #2: all of it.
Test #3: 3
Test #4: 4-6
Final Exam: 1-4,6,10
Spring 2011: Test #1: all of it.
Test #2: 2-6
Test #3: 2,4
Test #4: 4-6
Final Exam: 1-4,6,8c,10
Fall 2008: Test #1: 1-4,6
Test #2: 1-3,5
Spring 2008: Exam #1: 1,3-8
Exam #2: 1,2,4-6
Fall 2006: Exam #1: 1,3-8
Exam #2: 1,3,5-7
Summer 2006: Exam #1: 1,3-6,8-10
Exam #2: 1,2,4-6,8,9
Final Exam: 1-3,5a,6,9,10, also look at 11a in answer key
Obviously some material is missing, but generally these cover the bulk of what
we've been doing lately.
Where are we in the texts? [I will refer to Freidberg, Insel, Spence as FIS and Hoffman, Kunze as HK.]
We covered essentially 5.1 & 5.2 in FIS and 6.1 & 6.2 in HK covering basics
about eigenvalues/eigenvectors and diagonalization. We've also discussed material
covered in 6.1 & 6.2 in FIS and 8.1 & 8.2 in HK covering the beginnings of
inner product spaces and the Gram-Schmidt algorithm.
This said, both texts are working in a more abstract setting. They are also working
over more general fields than we've been working with. If you look at their coverage
of Gram-Schmidt, you'll see stuff about complex inner product spaces. We've just
stuck with column vectors with real entries and using the dot product as our inner
product. The same applies to the eigen/diagonalization stuff. We've downplayed
theory for now. FIS and HK are all about the theory.
09/21 Gram-Schmidt & QR Example (.mw) [(.pdf)]
09/16 Homework #4 (.pdf) [Source: (.tex)] is due Friday (September 23rd).
Test #1 is Monday, September 26th.
09/09 Eigenhandout (.pdf) [Source: (.tex)]
Homework #3 (.pdf) [Source: (.tex)] is due Friday (September 16th).
08/31 Visualizing Determinants (.mw) [Export: (.html)]
08/29 Where are we? [I will refer to Freidberg, Insel, Spence as FIS and Hoffman, Kunze as HK.]
Chapter 1 of FIS covers vector spaces, subspaces, linear systems, linear independence,
spanning, and bases. We have somewhat discussed all of these things, but from a
computational perspective. That said, chapter 1 should be fairly readable given what
we've discussed in class.
We haven't really touched Chapter 2 of FIS yet. We have discussed most of the content
of FIS Chapter 3 (this is about elementary matrices and solving linear systems). We
are just starting chapter 4 (determinants).
We have discussed most of the content from Chapter 1 in HK. HK chapter 1 covers
matrix multiplication, elementary matrices, linear systems, RREF, matrix inverses.
Sections 2.4, 2.5, and 2.6 in HK discuss coordinates, row-equivalence, and some
subspace computations (that probably make more sense from our linear correspondence
viewpoint).
We are just starting to look at determinants (HK chapter 5).
08/26 Homework #2 (.pdf) [Source: (.tex)] is due Friday (September 2nd).
08/22 PLU Decomposition (.mw) [(.pdf)] and row operations in Maple.
Computing Bases (.pdf) [Source: (.tex)]
08/19 Homework #1 (.pdf) [Source: (.tex)] is due Friday (August 26th).
08/07 RREF and Linear Correspondence (.pdf) [Source: (.tex)]
06/27 I am planning on using Linear Algebra by Friedberg, Insel, & Spence (4th edition)
ISBN: 978-0130084514
I also plan on using Linear Algebra by Hoffman & Kunze (2nd edition)
ISBN: 978-0135367971
Another good (free) resource is Linear Algebra Done Wrong by Sergei Treil.
This text is available at http://www.math.brown.edu/~treil/papers/LADW/LADW.html
I recommend searching for used books on AddAll.com: Friedberg et al. and Hoffman & Kunze
Bookfinder.com may have slightly different results: Friedberg et al.
Allbookstores.com can also be helpful: Hoffman & Kunze
You can get copies of both of these texts (i.e. "international editions") for about $10.
Regular copies are obscenely expensive unless you rent. The international editions
are (except for their covers) are exactly the same and will do just fine.
I have bought books from Abebooks (Friedberg et al. and Hoffman & Kunze) many times
and had good success.
Make sure you pay attention to where the text is being shipped from!
If it is shipped from India or China, our class might be over before
you get your copy.
You may want to purchase this sooner rather than later.
*********THE BOOKSTORE WON'T BE CARRYING OUR TEXTBOOKS***************
We may also use Matrix Computations by Golub & Van Loan (3rd edition) ISBN: 0-8018-5414-8
for some discussions about numerical linear algebra. This text is available online
at http://web.mit.edu/ehliu/Public/sclark/Golub%20G.H.,%20Van%20Loan%20C.F.-%20Matrix%20Computations.pdf
06/27 Course Data
MAT 5230 Section 101
Title "Linear Algebra"
Meeting Times MWF 11:00am-11:50am
Room WA 304
Final Exam Tuesday, December 6, 2016 from 9:00 AM - 11:30 AM
Syllabus, suggested homework and schedule pages
will be posted...later
Course Title & Description:
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MAT 5230 Linear Algebra (3 credits)
A study of finite dimensional vector spaces. Topics covered may
include matrices, linear transformations, change of basis,
eigenvalues, canonical forms, quadratic forms and quasi-inverses.
Prerequisite: MAT 2240 (Linear Algebra) or MAT 3110 (Modern Algebra).
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Any questions about this class?
Send me an email at cookwj@appstate.edu