MATH 3000

MATH 3000 (Azoff)
Linear Algebra
Fall 2009

Last updated December 18.

Grades have been reported to the registrar. The median on the final exam was 153 out of 200.

Exams are available for pick-up.

email me at azoff@math.uga.edu if you would like any additional info about your performance in the course.

Assignments

Exams

Study Hall and Tutoring Services

Course Syllabus

Installing or Updating your Browser's WebWork Security Certificate

Assignment Summary

#	WW Name	WW Due Date	Paper Due Date	Text Section	Hand In	Practice	Bonus
1	dotprod	F 28 Aug	F 28 Aug	1.1	5,8,9,10c,25	1h,3,7,10b,12,19	24,29
1	dotprod	F 28 Aug	F 28 Aug	1.2	1be,2b,5,7,16	1f,2f,3,6,9,10	18,19
2	gauss	F 4 Sept	F 4 Sept	1.4	5a,7b,9,11b,14	2,3g,4ac,6a,12	15
3	apply	F 11 Sept	F 11 Sept	1.5	3f,5c,10,11,12	3e,4c,6,8	15
3	apply	F 11 Sept	F 11 Sept	1.6	6,910,13b,16	5,9,13a,15	7a,17
4	matrixop	F 18 Sept	F 18 Sept	2.1	6,8,13	1gh,5,14	10,11
4	matrixop	F 18 Sept	F 18 Sept	2.2	2,3b,4acd,5acf,13	1,4bf,5be,7,10,11,12,14	9
5	inverse	F 25 Sept	F 25 Sept	2.3	2a,3,6,8	1ag,4,7	13
				2.4	7,8	1c,2c,12
				2.5	3c,6,8,12	1acf,5,7	16,19
6	subspace	W 7 Oct	W 7 Oct	3.1	1abce,2,4,6,8,9ab,10,11	1dfghi,3,5,9cde,12,13	7,14,15
7	indep	F 16 Oct	F 16 Oct	3.2	2b,4,10ab	1,2ac,3,7,9,10cd,13	6,8,11
7	indep	F 16 Oct	F 16 Oct	3.3	1,4ac,5b,6,7,9,10b,12,15,16	2,3,4bd,5c,8,10a,13,17,20	11,19
8	basis	M 19 Oct	M 19 Oct	3.4	3bc,4,6b,13,18	1,2,3de,7,11b,15,19,20,23	9,12,22,24
9	proj	W 4 Nov	W 4 Nov	4.1	1a,5,7,9	4,8,10 (skip sum of errors)	13
9	proj	W 4 Nov	W 4 Nov	4.2	2bd,3,6,11	4	10
10	vspace	W 11 Nov	W 11 Nov	4.3	1a,5,9,20	7,12ab,16,21	8,17
10	vspace	W 11 Nov	W 11 Nov	3.6	2ace,3ace,6bdeh,7	1,2bdf,3bdf,4,6acfg,8	12,15,19
11	det	W 18 Nov	W 18 Nov	5.1	2,10	1,5,8	11
				5.2	1a,3,5ci	1b,2,6,9	13
				5.3	1b,2b	1c,2c,3,5a
12	eigen	W 2 Dec	W 2 Dec	6.1	1ik,2,4,6,7,10,15a	1mp,3	8.9
				6.2	1ik,11	4,8,12,16	2,9
				6.3	1,2,3,8	4.9	12

See syllabus below for information about WebWork. WebWork assignments are due at 9 AM on the dates listed.

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Exams

The comprehensive final exam was held 8 - 11 AM on Monday December 14 in our usual classroom. The median score was 153 out of 200.

There was a review session starting at 4 PM Sunday in our usual classroom.

An amalgamation of the study guides for tests 1, 2, and 3 can be found at http://www.math.uga.edu/~azoff/courses/3000guide.html

Links to notes and study aids for hour tests can be found below.

There were three hour exams during the term.

The first hour exam, covering Chapters 1 and 2, was held Wednesday September 30. The median score was 78.
Study aids for the test included:

a list of topics covered at http://www.math.uga.edu/~azoff/courses/3000t1guide.html
a sample test from a previous term at http://www.math.uga.edu/~azoff/courses/3000t1prac.pdf
a version of the previous file with answers can be found at http://www.math.uga.edu/~azoff/courses/3000t1prans.pdf
student notes from a review session at http://www.math.uga.edu/~azoff/courses/t1rev.pdf
bolded practice problems in the Assignment Summary above to provide additional practice for the test.

The second hour exam, covering through Section 3.4, was held Wednesday, October 21. The median score was 78.
Study aids for the test included:

a worksheet at http://www.math.uga.edu/~azoff/courses/3000t2guide.html
review session notes
15 class discussion problems in bold font above
writeups of some proofs at http://www.math.uga.edu/~azoff/courses/3000notes.pdf

The third hour exam, concentrating on material from Section 3.6 and Chapters 4, 5, and 6, was held Monday December 7. The median score was 68.
Study aids for that test included:

notes to the homework problems from Sections 3.6 and 4.3. These are posted at http://www.math.uga.edu/~azoff/courses/3000notes.pdf.
Notes from a review session are posted at http://www.math.uga.edu/~azoff/courses/reviewt3.pdf
Practice problems in Bold font and a study guide at http://www.math.uga.edu/~azoff/courses/3000t3guide.html could be used to help prepare for the test.

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MATH 3000 (Azoff) Fall 2009
Introduction to Linear Algebra
Course Syllabus

Call Number	22-645

Web Page	http://www.math.uga.edu/~azoff/courses/3000.html

Time & Place	9:05 - 9:55 AM MWF	222 Boyd

Text	Linear Algebra: A Geometric Approach, by Theodore Shifrin and Malcolm R. Adams, Second Edition, Preliminary Version. Available for $23.85 at Baxter Street Bookstore, 360 Baxter Street, 706-549-3081. Do not purchase earlier editions of the text.

Topics	1. Vectors & Matrices 2. Matrix Algebra 3. Vector Spaces 4. Projections & Linear Transformations 5. Determinants 6. Eigenvalues & Eigenvectors	3 weeks 2 weeks 3 weeks 2 weeks 1 week 2 weeks

Grading	Homework Hour Tests (3 @ 100 pts) Final Exam	100 points 300 points 200 points

	Homework will be collected once or twice a week; no late work will be accepted. The final exam is scheduled for 8 - 11 AM on Monday December 14; it will be comprehensive.

Instructor	E. Azoff
e-mail Phone Office	azoff@math.uga.edu 542-2608 443 Boyd
Hours	1:30 - 2:30 PM Daily 2:30 - 3:30 PM on Wednesdays and Fridays	No office hours on Mon Sept 28

Note on Homework. Most assignments in this class will use a web-based homework system called WebWork. (Most assignments will also involve pencil and paper work.)

The WebWork link is https://webwork.math.uga.edu/webwork2/Math3000_Azoff_F09/. When following this link for the first time, you may receive a message to the effect that your browser does not have a currently valid certificate for this website. See below for information on how to fix this.

WebWork Accounts have been set up for all students currently registered for the class. Your username is your UGA MyID and your initial password is set to your 810 student number formatted 810-xx-xxxx. This means leaving off the last digit and repositioning the final dash as the number is exhibited on your card. Your UGA password is not involved. Email me at azoff@math.uga.edu if you have trouble accessing your account.

Until a WebWork assignment is due, you can try the problems as many times as you like, and the system will tell you whether you have the right answer. This lets you correct your work immediately. Shortly after an assignment is due, answers will be posted. You are welcome to work together on WebWork problems, but each student's problems will be slightly different, so copying others' answers will not work.

First Assignment

#	WW Name	WW Due Date	Paper Due Date	Text Section	Hand In	Practice	Bonus
1	dotprod	F 28 Aug	F 28 Aug	1.1	5,8,9,10c,25	1h,3,7,10b,12,19	24,29
1	dotprod	F 28 Aug	F 28 Aug	1.2	1be,2b,5,7,16	1f,2f,3,6,9,10	18,19

Practice problems should be looked over early, so troublesome concepts can be brought up for class discussion.

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Installing or Updating the WebWork Security Certificate For Your Web Browser

While browsing university web sites, you may encounter a situation when accessing a valid web site where you get a warning about the security certificate not being from a trusted certificate source. Different browsers will present this information to you in different wording:

* Firefox: "Unable to verify the identity of sitename as a trusted site."
* Internet Explorer: "The security certificate was issued by a company you have not chosen to trust. View the certificate to determine whether you want to trust the certifying authority."
* Safari: "The certificate for this website was signed by an unknown certifying authority. You might be connecting to a website that is pretending to be sitename which could put your confidential information at risk."

There are three ways to handle this situation. You can choose not to proceed, but won't access the site.

You can choose to ignore this message (with or without verifying the certificate details) and click Continue to access the site, or create an exception. If you do decide to do this, make sure you do verify the certificate is a valid one before continuing, else you leave yourself open to malicious tampering from a rogue web site. It is poor security practice to simply click "Ok" or "Yes" without verifying the content of the security certificate.

Updating Internet Explorer 7 on a Windows computer

1. Delete the old security certificate (if any):
     * Launch Internet Explorer
     * Click Tools then Internet Options
     * On the Internet Options window, select the Content tab and click the Certificates button
     * On the Certificates window, click on Trusted Root Certification Authorities tab to see a list of issuing certificate authorities and the corresponding certificates
     * Scroll through the list to search for The University of Georgia and webwork.math.uga.edu
     * If found, click to select it, then click the Remove button
     * Click Yes
     * Click Yes

2. Get new root security certificate:
     * Type in the URL
     * Click Continue to this website
     * Click the Red box that says Certificate Error
     * Click View Certificate
     * Click Install Certificate
     * Click Next
     * In the Certificate Store window, select the Place all certificates in the following store, then click the Browse button
     * Select Trusted Root Certification Authorities
      * Click OK
      * Click Next
      * Click Finish
      * Click Yes in the You are about to install a certificate window
      * Click OK in the Import successful window
      * Click OK in the Certificate window to finish

Updating Firefox 2.x and 3.x on a Windows computer

1. Delete the old security certificate (if any):
     * Select Tools -> Options -> Advanced -> Encryption -> View Certificates
     * Click both the websites or Authorities tab
     * Search for The University of Georgia and webwork.math.uga.edu
     * If found, click Delete
     * Click OK in the Delete Certificates window
     * Close and reopen your browser

2. Get new root security certificate:
    * Go to the URL
    * Click Accept this certificate permanently
    * Click OK

Updating Safari 2.x and 3.x on a Macintosh computer

1. Delete root security certificate (if any):
     * in applications then utilities click Keychain Access
     * find math.uga.edu and delete it

2. Get new root security certificate:
     * Go to the URL
     * Click the show certificate button
     * click the triangle next to Trust
     * choose always trust when using this certificate
     * click continue - this installs the certificate on your computer into your Keychain Access

Updating Firefox 2.x and 3.x on a Macintosh computer

1. Delete the old security certificate (if any):
    * Select Firefox -> Preferences -> Advanced -> Encryption ->View Certificates button
    * In the Certificate Manager window, click on the Authorities tab
    * Search for The University of Georgia and webwork.math.uga.edu
    * If found, click Delete, then OK in the Certificate Manager window

2. Get new root security certificate:
    * Go to the URL
    * Click the install the Certificate link or add an exception link
    * Click add an exception
    * Click Get Certificate
    * Check Permanently store this exception
    * Click Confirm Security Exception

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MATH 3000 (Azoff) Linear Algebra Fall 2009

Contents

Assignment Summary

Exams

MATH 3000 (Azoff) Fall 2009 Introduction to Linear Algebra Course Syllabus

Note on Homework. Most assignments in this class will use a web-based homework system called WebWork. (Most assignments will also involve pencil and paper work.)

The WebWork link is https://webwork.math.uga.edu/webwork2/Math3000_Azoff_F09/. When following this link for the first time, you may receive a message to the effect that your browser does not have a currently valid certificate for this website. See below for information on how to fix this.

First Assignment

Installing or Updating the WebWork Security Certificate For Your Web Browser

MATH 3000 (Azoff)
Linear Algebra
Fall 2009

MATH 3000 (Azoff) Fall 2009
Introduction to Linear Algebra
Course Syllabus