Math 401 – Linear Algebra

Fall Semester 2009

Return to Becker's Home Page

            Final Exam: Wed., Dec. 16, 10:30 – 12:30 in CW 309

Monday afternoon, December 14  

I have Exam 3 graded if you wish to come by my office and pick yours up.  I will be here until 3:45.  And tomorrow, I will be here by 8:00 am and work for a couple of hours in my office.  When I leave, I will let you know from whom you can pick your exam up.

Monday morning, December 14  

   1.   The Solution Key to Exam 3 is in the tray outside my door.

   2.   I have not finished grading Exam 3 yet. When I am done, I will let you know here.

Class 43 Fri Dec 11  

   1.   Final Exam: on Wed at 10:30 – 12:30 in CW 309.

   2.   Prepare #4 on p. 325 for the Final Exam next Wednesday.

Class 42 Wed Dec 9  

   1.   In Sec 5.3, read pp. 317-320.

   2.   Exam 3 (due Friday, Dec. 11):  Problem 1 [#28 on p. 228];   Problem 2 [# 22(a) & (b) on p. 227];   Problem 3 [# 22(c) on p. 227];   Problem 4 [# 30 on p. 262];   Problem 5 [# 31 on p. 262];   

         Problem 6 [# 32 on p. 272 (use Cramer’s rule)];   Problem 7 [#20 on p. 300] ;   Problem 8 [#25 on p. 300] ;  Problem 9 [#8 on p. 315] ;  Problem 10 [#10 on p. 325].

   3.   Prepare #4 on p. 325 for the Final Exam next Wednesday.

Class 41 Mon Dec 7  

   1.   In Sec 5.3, read pp. 320-324.

   2.   See last addition to Exam 3.

   3.   Exam 3 (due Friday, Dec. 11):  Problem 1 [#28 on p. 228];   Problem 2 [# 22(a) & (b) on p. 227];   Problem 3 [# 22(c) on p. 227];   Problem 4 [# 30 on p. 262];   Problem 5 [# 31 on p. 262];   

         Problem 6 [# 32 on p. 272 (use Cramer’s rule)];   Problem 7 [#20 on p. 300] ;   Problem 8 [#25 on p. 300] ;  Problem 9 [#8 on p. 315] ;  Problem 10 [#10 on p. 325].

   4.   Class evaluations end on Dec 13.  Note. An extra 5 points will be added to your homework grades if you email me after filling out the evaluation form.

Class 39 Wed Dec 2  

   1.   Read Sections 5.1 & 5.2.

   2.   See additions to Exam 3.

   Announcements:

   1.   Class evaluations start today and end on Dec 13.  Note. An extra 5 points will be added to your homework grades if you email me after filling out the evaluation form.

   2.   Exam 3 (due Friday, Dec. 11):  Problem 1 [#28 on p. 228];   Problem 2 [# 22(a) & (b) on p. 227];   Problem 3 [# 22(c) on p. 227];   Problem 4 [# 30 on p. 262];   Problem 5 [# 31 on p. 262];   

         Problem 6 [# 32 on p. 272 (use Cramer’s rule)];   Problem 7 [#20 on p. 300] ;   Problem 8 [#25  on p. 300] ;  (more to come).

Class 38 Mon Nov 30  

   1.   Read Sec 4.3.

   2.   See additions to Exam 3 and the correction in red.

   Announcements:

   1.   Class evaluations start today and end on Dec 13.  Note. An extra 5 points will be added to your homework grades if you email me after filling out the evaluation form.

   2.   Exam 3 (due Friday, Dec. 11):  Problem 1 [#28 on p. 228];   Problem 2 [# 22(a) & (b) on p. 227];   Problem 3 [# 22(c) on p. 227];   Problem 4 [# 30 on p. 262];   Problem 5 [# 31 on p. 262];   

                        Problem 6 [# 32 on p. 272 (use Cramer’s rule)] ;  (more to come).

Happy Thanksgiving!

Class 37 Wed Nov 25  

   1.   Read Sec 4.2.

   2.   Homework 15 for Monday is 2, 6, 8, 14, & 39on p. 226 ff.  (To solve #14, read the section “The Equation T(x)=b.”  I will not cover this in class.)

   3.   Exam 3:  Problem 1 [#28 on p. 228];   Problem 2 [# 22(a) & (b)];   Problem 3 [# 22(c)]; (more to come).

Class 36 Mon Nov 23  

   1.   Read Sec 4.1.

   2.   Homework 15 is due Mon: 2, 6, 8, 14, & 39on p. 226 ff.  (To solve #14, read the section “The Equation T(x)=b.”  I will not cover this in class.)

   3.   Exam 3:  Problem 1 [#28 on p. 228];   Problem 2 [# 22(a) & (c)];   Problem 3 [# 22(c)]; and … .

Class 35 Fri Nov 20  

   Exam 2

Class 34 Wed Nov 18  

   1.   For Monday, continue studying pp. 218-225 in Section 3.4.

   2.   Exam 2 on Friday will cover Sections 2.1, 2.2, 2.3, 3.1, 3.2, and 3.3

Class 33 Mon Nov 16  

   1.   Read pp. 218-225 in Section 3.4.

   2.   Homework 14 is due Wed (the deadline is Wed since I will give out a key in class):  6, 8, 10, 12, 15, & 18 on p. 211 f.

Reminder:

   Exam 2 on Friday will cover Sections 2.1, 2.2, 2.3, 3.1, 3.2, 3.3, and [3.4, pp. 213-218].

Class 32 Fri Nov 13  

For Monday:

   1.   Read pp. 213-218 in Section 3.4.

   2.   Homework 14 for next Wednesday:  6, 8, 10, 12, 15, & 18 on p. 211 f.

Reminder:

   Exam 2 next Friday will cover Sections 2.1, 2.2, 2.3, 3.1, 3.2, 3.3, and [3.4, pp. 213-218].

Class 31 Wed Nov 11  

   1.   Read Section 3.3.

   2.   Practice 1, 5, 9, 11, 14, & 17 on p. 211 f.

Reminders:

   1.   Homework 13 for Friday: 4, 8, 12, 18, 20, 22, 27, & 44 on p. 201 f.

   2.   Exam 2 on Friday, Nov. 20 will cover Sections 2.1, 2.2, 2.3, 3.1, 3.2, 3.3, and 3.4.

Class 30 Mon Nov 9  

   1.   Practice 41 & 43 on p. 204

   2.   Homework 13 for Friday: 4, 8, 12, 18, 20, 22, 27, & 44 on p. 201 f.

Class 29 Fri Nov 6  

   1.   Study Section 3.2.

   2.   Practice 1, 3, 5, 7, 11, 13, 15, 17, 19, & 37 on p. 201 f.

Class 28 Wed Nov 4  

   1.   Today’s homework may be turned in Friday.

   2.   Read Section 3.2.

   3.   Practice 1, 3, 5, 7 , 11, 13 on p. 201 f.

Class 27 Mon Nov 2  

   1.   Start reading Section 3.2.

   2.   Homework 12 for Wed: 8, 16, 18, 20, 24 on p. 189 f.

Announcement:

   Exam 2 Monday, November 16. Will cover 2.1, 2.2, 2.3, 3.1, 3.2, ?.

Class 26 Fri Oct 30   

   1.   Read all of Section 3.1 (but omit the optional “The Universality of Function Spaces.”).

   2.   Practice p. 189: 1 – 15 (odd).

   3.   Homework 12 for Wed: 8, 16, 18, 20, 24 on p. 189 f.

Reminder

   Homework 11 for Mon: 6, 8, 12, 16, & 20 on p. 152 f.    

Class 25 Wed Oct 28  

   1.   Read Section 3.1.

   2.   Practice 1, 3, 5, 9, 15, 19, 21 on p. 152 f. (I leave it to you to study inverse transformations on pp. 150-151.)

   3.   Homework 11 for Mon: 6, 8, 12, 16, & 20 on p. 152 f.          

Class 24 Mon Oct 26  

   1.   Read Section 2.3.

   2.   Homework 10 for Wed: 2, 5, 8, 12, 14, & 21 on p. 140 f.       

Fall Break Oct 17 - Oct 25

Class 23 Fri  Oct 16   Exam 1

Class 22 Wed Oct 14  

   1.   Read Section 2.3.

   2.   Homework 10 for the Wed after the break: 2, 5, 8, 12, 14, & 21 on p. 140 f.

   Reminder.    Exam 1 is Friday.

Class 21 Mon Oct 12  

   1.   Start reading Section 2.3.

   2.   Homework 10 for the Wed after the break: 2, 5, 8, 12, 14, & 21 on p. 140 f.

   Reminder.    Exam 1 is Friday.

Class 20 Fri Oct 9  

   1.   Read Section 2.2.

   2.   Homework 9 for Monday: 4, 8, 12, 15, 24, 26, 29, & 30 on pp. 134-135.

   Reminder.    Exam 1 is next week Friday.

Class 19 Wed Oct 7  

   1.   Continue studying Section 2.1.

   2.   Homework 9 for Monday: 4, 8, 12, 15, 24, 26, 29, & 30 on pp. 134-135.

   Change of day for Exam 1: next week Wed or Fri?

Class 18 Mon Oct 5  

   1.   Read Section 2.1.

   2.   Practice p. 134: 1, 3, 5, 7, 10, & 13.

   Reminder: Exam 1 next Monday.

Class 17 Fri Oct 2  

   1.   Start reading Section 2.1.

   2.   Practice p. 99: 1, 3, 11, 14, 17, 23, 29, 31, & 35.

   3.   Homework 8 for Monday: 2, 6, 12, 18, 36, & 44 starting on p. 99.   

Class 16 Wed Sept 30  

   1.   Continue studying Section 1.6.

   2.   Practice p. 99: 1, 3, 11, 14, 17, 23, 29, 31, & 35.

   3.   Homework 8 for Monday: 2, 6, 12, 18, 36, & 44 starting on p. 99.   

Class 15 Mon Sept 28  

   1.   Read Section 1.6.

   2.   Practice p. 99: 1, 3, 11, 14, 17, 23, 29, 31, & 35.

   3.   Homework 8 for Friday: 2, 6, 12, 18, 36, & 44 starting on p. 99.                  

Class 14 Fri Sept 25  

   1.   Read Section 1.6.

   2.   Reminder:        

         Homework 7 for Monday: 4, 12, 18, 20, 26, & 30 starting on p. 84.             

Class 13 Wed Sept 23  

   1.   Practice p. 84: 2, 6, 9, 11, 15, & 17.  Also, 23, 24, 27, & 29.

   2.   Note. Change in due date and addition of one more problem:          

         Homework 7 for Monday: 4, 12, 18, 20, 26, & 30 starting on p. 84.             

Class 12 Mon Sept 21  

   1.   Practice p. 84: 2, 6, 9, 11, 15, & 17.

   2.   Homework 7 for Friday: 4, 12, 18, 20, & 26 on p. 84.

   Announcement

   1st announcement: Exam 1 Monday, October 12.

Class 11 Fri Sept 18  

   1.   Read pp. 78-83 in Sec. 1.5.

Class 10 Wed Sept 16  

   1.   In Sec. 1.5, read pp. 73-78.

   2.   Homework 6 for Monday: 28, 38, 42, 44, & 48 on p. 69.  Additionally, for the “False” answers in #29 on p. 69 provide a counterexample.          

Class 9 Mon Sept 14  

   1.   In Section 1.4, read pp. 65-68.

   2.   Practice p. 69: 25, 29, 31, 33, & 35.

   Reminder:

    Homework 5 for Wed: 4, 10, 17, 20, & 24 on p. 68.

Class 8 Fri Sept 11  

   1.   In Section 1.4, read pp. 57-65.

   2.   Homework 5 (due next Wed): 4, 10, 17, 20, & 24 on p. 68.

   A real-world application of linear algebra: Google's PageRank is an eigenvector of a matrix of order 2.7 billion. 

   Click on The World’ s Largest Matrix Computation .

Class 7 Wed Sept 9  

   1.   In Section 1.4, read pp. 51-57.

   2.   Practice p. 68: 2, 3, 7, 9, 11.    

Monday, September 7 (Labor Day Holiday)

Class 6 Fri Sept 4  

   1.   Practice p. 47: 21, 23, 25, 26, 29, 32, & 39.  

   2.   Homework 4 (due next Wed) p. 33: 40 & 46 and p. 47: 16, 18, 38, & 42.

Class 5 Wed Sept 2  

   1.   Read Section 1.3.

   2.   Practice p. 46: 1-19 (odd).  

Class 4 Mon Aug 31  

   1.   Start reading Section 1.3.

   2.   Homework 3 (due Wed) p. 31:  8, 16, 22, 34, 42b.

Class 3 Fri Aug 28  

   1.   Read pp. 25–30. 

   2.   Practice (do not turn in) on p. 31: 1-23 (odd).

Reminder:

   Homework 2 (due Monday) p. 16:  24, 28, 32, 38, 41a, & 42.

Class 2 Wed Aug 26  

   1.   Read pp. 20–24. 

   2.   Homework 2 (due Monday) p. 16:  24, 28, 32, 38, 41a, & 42.  (Note the typo: The “42” between 41 and 42 should not be there.)

Class 1 Mon Aug 24  

   1.   Read the handout: Information about M401.

   2.   Read pp. 1–15. 

   3.   Homework 1 (due Friday) is to turn in on p. 15:  2, 6, 12, 14, & 22. 

   4.   Practice p. 15: 1-17 (odd); 23, 29, 33, 35, 37, 39, 40c, 41c (the “42” between 41 and 42 should not be there)

Return to Becker's Home Page