MATH 3330 HOMEWORK (Spring 2015)

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Book = Linear Algebra with Applications, 5th Ed, O. Bretscher, Prentice Hall.
Note that there might be more than one correct answer for any given question.
LAST REVISION: 5/11/15

You should make sure you are viewing the most current version of this page and not the version in your browser's cache; reload the page from source. Dates indicate homework assigned in lecture that day. Dates for future assignments are tentative, and subject to change. (However, it will be similar to the homework posted here.)
Skimming through the main ideas in a section shortly before that section is covered in class should help you understand the lecture -- try it!


Also, see the links to practice quizzes/tests on my website.

01/20/15
Read course syllabus carefully. Make a note of the test dates in your calendar. Review course website and 
repeat frequently during the semester. Consider adopting one or more of the suggested study techniques linked 
at the course website.
Read lecture notes & Sec 1.1 & do: 2, 11-13, 16, 17. Try some practice quizzes.
01/22/15
Read lecture notes & do Sec 1.1: 19, 22, 26, 31, 33, 38, 45, 46, 50. 
Try some practice quizzes.
Attendance will be recorded, starting today.
01/27/15
Read lecture notes & Sec 1.2 & do: 1-4, 6, 8, 18, 21, 26, 27, 31, 43, 47, 48, 63.  
Read lecture notes & Sec 1.3 & do: 1-7, 9-20.
By this time, you have seen quite a few theorems. It is best NOT to memorize the theorems, but to do enough of the 
homework that the results of the theorems become known to you, though perhaps with different wording or using pictures.
01/29/15
Read lecture notes & Sec 1.3 & do: 25, 27, 28, 34, 36, 57-59.
Do pages 38-40 (true/false questions): 1-11, 13, 14, 17, 18, 29, 34, 39, 43. 
Try some practice quizzes. I'll stop writing this, but it goes without saying on all the assignments, through end of semester.
02/03/15
Read lecture notes & Sec 2.1 (in particular, recall that linear transformation was defined differently in lecture; more closely 
aligned with Def 4.2.1 on  page 178) & do: 1-6, 35, 8-12, 14, 15, 17, 57.
The   Quiz   will be a week from today; it will cover Secs 1.1-1.3, 2.1.  Information sheet and practice questions for quiz. 
See course website after 3:30 pm Monday Feb 9 for answers to the multiple-choice practice questions.

Note the 1.2 homework above (Jan 27) - it disappeared from the homework sheet earlier in the week for about 24 hours.
02/05/15
Read lecture notes & pgs 58-60 & the file & do Sec 2.2: 1, 2, 8-11, 26(a), 27, 30.
02/10/15
Quiz today. See Feb 3 above for details.  
Read lecture notes & this example & pgs 75-81 & do Sec 2.3: 1-5, 7, 10, 11, 35, 43, 44, 20, 22, 26, 57, 58, 61.
Look over the Quiz & its solutions to sudy for Test 1; use password ``math3330'' to open the pdf file.
Test 1 will be a week from today; it will cover Secs 1.1-1.3, 2.1-2.2.  Information sheet and practice questions for Test 1. 
See course website after 3:30 pm Monday Feb 16 for answers to the multiple-choice practice questions.
02/12/15
Read lecture notes & Sec 2.4 & do: 1, 2, 16, 17, 37, 5, 6, 10, 13, 19, 29, 30, 35, 40.
Do pages 107-109 (T/F): 1, 3, 7, 9-13, 15, 17, 25, 27, 28, 30, 35, 39, 47, 5, 18, 21, 22, 34.
02/17/15
Test 1 today. See Feb 10 above for details.  Solutions to Test 1; use password ``math3330'' to open the pdf file.
Read lecture notes & Sec 3.1 & do: 14-16, 19, 22, 17, 30, 32.
02/19/15
Read lecture notes & Sec 3.1 & do: 1-8, 12, 33, 34, 44.
See the link above for the solutions to Test 1.
02/24/15
UTA is closed today owing to icy conditions.
02/26/15
Read lecture notes, this file & Sec 3.2 & learn Theorem 3.2.8 on pg 128 & do: 
1-3, 5, 48, 49, 34, 8-16, 21, 24, 43, 27, 28.
03/03/15
Read lecture notes & Sec 3.3 (especially pg 142) & learn Summary 3.3.10 on pg 142.  
Do Sec 3.3: 31, 16, 17, 19-21, 12, 13, 26, 29, 30, 38, 39, 36, 28, 82, 83.
03/05/15
UTA closed today owing to inclement weather. 
03/10/15
and 
03/12/15
SPRING BREAK
Go over Quiz and Test 1 and read through all lecture notes from start of semester until now.
Next test on Tues Mar 24.
03/17/15
Read lecture notes, this file & Sec 3.4, especially pgs 155-7.
Do Sec 3.4: 3, 7, 12, 16, 17, 19, 21, 27, 43-45, 48, 59, 60.
Do pages 163-5 (T/F): 1-7, 9, 11, 13, 14, 16, 18, 20, 28, 33, 35.

Test 2 will be one week from today; it will cover Secs 1.1-3.4. See information sheet and practice questions for Test 2. 
Click here after 2:30 pm Monday Mar 23 for answers to the multiple-choice practice questions.
(You might need to refresh your page or delete the cache to load it.) 
03/19/15
Read lecture notes & pgs 166-174. Do Sec 4.1: 1-4 (see Example 12 on pg 170 for the notation), 7, 8, 20-22, 25, 26, 29, 30, 33.
03/24/15
Test 2 today; see Mar 17 above for details.
Read lecture notes & Sec 4.2 (especially Example 6 & table on pg 183).
03/26/15
Do Sec 4.2: 1, 3, 7, 9, 11, 17, 19, 22, 23, 42-44, 60.
Look over solutions to Test 2; use password ``math3330'' to open the pdf file.
03/31/15
Read lecture notes & do Sec 4.3: 21, 23, 24, 15, 16, 29, 32, 33, 46, 48, 57, 61b, 60ab.
Do pages 199-201 (T/F): 2-6, 8, 12, 13, 18, 24, 27, 35, 37, 51.
Mark your calendars: there will be a talk on prime numbers on April 30 that I think y'all will enjoy -- details here.
04/02/15
Read pgs 202-204 & lecture notes & do  Sec 5.1: 1-3, 10, 16, 29, 15, 17  and   Sec 5.2: 1, 5, 7, 33, 35.
04/07/15
Read pgs 225-231 & lecture notes & do Sec 5.3: 1-9, 35-37, 13-18, 21-24, 38, 52, 57, 61. 
Do page 263-4 (T/F): 2, 3, 5, 7, 8, 12, 13, 18, 23-25, 37.
04/09/15
Read lecture notes & do Sec 6.1: 1, 2, 5, 6, 9, 10, 12, 14, 15, 17, 19, 21, 22, 25, 29, 32-34, 45.
04/14/15
Read lecture notes & do Sec 6.2: 1, 5, 6, 11-16, 35, 38-40, 45, 46, 17, 27.  
Read pgs 300.5-302, 304-304.5.  Do Sec 6.3: 22-24, 31, 33.  
Do page 308-9 (T/F): 1, 3, 4, 8, 11, 12, 17, 20, 46.

Test 3 will be one week from today; it will cover the sections covered on the homework from Sections 1.1-6.3.
See information sheet and practice questions for Test 3. 
Click here after 2:00 pm Monday April 20 for answers to the multiple-choice practice questions.
(You might need to refresh your page or delete the cache to load it.)
04/16/15
2 examples not covered in class today: 
1. if T is rotation by 90 degrees counter-clockwise, then every nonzero vector v is mapped to a vector w perpendicular to v, 
   and so w is not parallel to v and so cannot be a scalar multiple of v, and so this T has no eigenvectors in R2 and no 
   eigenvalues in R;
2. if T=In, then every nonzero vector in Rn is an eigenvector and they all have associated eigenvalue = 1, and all bases 
   of Rn are eigenbases with respect to this T.

Read Sec 7.1 & lecture notes. Learn Summary 7.1.5 on pg 315 & Theorem 7.1.3 on pgs 312-3.
Do Sec 7.1: 1-5, 9, 8, 13, 25, 27, 29, 24, 26, 28, 34, 38, 46, 47, 51, 67, 69.
04/21/15
Test 3 today; see April 14 above for details.
04/23/15
Look over solutions to Test 3; use password ``math3330'' to open the pdf file. 
Read lecture notes & pgs 327-328, 331, 335. Do Sec 7.2: 9-12, 15, 29, 32, 45.
04/28/15
Read lecture notes and Sec 7.3. Learn Theorem 7.3.7 on pg 344.
Do Sec 7.3: 5, 6, 9, 10, 13, 15, 17, 18, 35, 36.
Read lecture notes & pgs 352-4.  Do Sec 7.4: 5, 11, 49, 50, 48, 51, 39, 40.
Do pgs 382-4(T/F): 3, 6-8, 19, 29, 31, 45, 53.
Read Sec 8.1 & lecture notes. Do Sec 8.1: 5, 6, 9, 10, 14, 21, 22, 24, 31.
04/30/15
No lecture today. No office hours today.
Instead, there is a talk today on prime numbers in Nedderman Hall, Room 100, 5:00 pm -- details here.
I genuinely believe y'all will enjoy the talk.
05/05/15
We will spend today's lecture finishing up loose ends and reviewing the course material; no new homework. 
Remember to complete online the student feedback survey by 11 pm on Fri May 8 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., projector vs whiteboard? quality of website?); thank you!
05/07/15
No new homework; today's lecture will be a chance for you to ask questions.
Remember to complete online the student feedback survey by 11 pm on Fri May 8 -- check your mymav e-mail for the link.
I appreciate the feedback (e.g., projector vs whiteboard? quality of website?); thank you!
05/14/15
FINAL TEST  today, starting at 2:00 pm; see the information sheet and practice questions.
Click here after noon Tuesday May 12 for answers to the multiple-choice practice questions.
(You might need to refresh your page or delete the cache to load it.)
Back to Dr Vancliff's Spring 2015 teaching page 

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