Math 401 – Linear Algebra

Fall Semester 2007

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Final Exam: Tues., Dec. 11 at 3:30–5:30 in Kenrick 205

Class 43 Fri Dec 7

      A continuation of the discussion of Sections 5.2 & 5.3 (pp. 305–312 & pp. 320–324). 

      The final is comprehensive.  Suggestions:

·      Review Exams 1, 2, & 3.

·      Review the 15 homework assignments.

·      Work the problems assigned in Class 42, some of which I covered in class.

·      Review the “Summary” at the end of each of the sections that we covered in the course.

Class 42 Wed Dec 5

        1.     Read pp. 305–312 and pp. 320–324.               

        2.     Some of the problems on Tuesday’s final will come directly from

·         p. 300: 3, 4, 9, 11, 27, 28, 29, 30 ( delete 31 previously assigned), & 39. 

·         p. 315: 1, 7, & 16.

·         p. 325: 9 & 11.

Class 41 Mon Dec 3     Exam 3

Class 40 Fri Nov 30

        Hwk 15 (due Monday, Dec. 3) p. 271: 6, 18, 30, 34, 37.

        Exam 3 Monday covers Sections 3.1, 3.2, 3.3, 3.4 (what was covered in 3.4), and 4.1 (only the calculation of 2nd & 3rd order determinants), 4.2, and 4.3.

        1.     Read pp. 286–296 (Sec 5.1)              

        2.     Practice p. 300: 3, 4, 9, 11, 31, 39. 

Class 39 Wed Nov 28

        1.     Read pp. 286–296.              

        2.     Practice p. 300: 3, 4, 9, 11, 31, 39.

        Reminders:

        Hwk 15 (due Monday, Dec. 3) p. 271: 6, 18, 30, 34, 37.

        Exam 3 covering Sections 3.1, 3.2, 3.3, 3.4 (i.e., what was covered in 3.4), and 4.1 (only the calculation of 2nd & 3rd order determinants), 4.2, 4.3 will be Monday, Dec 3.

Class 38 Mon Nov 26

        1.     Practice problems p. 271: 1, 3, 4, 7, 15, 17, 21, 22, 27, 29.

        2.     Hwk 15 (due Monday, Dec. 3) p. 271: 6, 18, 30, 34, 37.

        Reminders:

        Hwk 14 (due Wed Nov 28) p. 262: 18, 24, 28, 31, 32, & 37.

        Exam 3 covering Sections 3.1, 3.2, 3.3, 3.4 (i.e., what was covered in 3.4), and 4.1 (only the calculation of 2nd & 3rd order determinants), 4.2, 4.3 will be Monday, Dec 3.

Class 37 Wed Nov 21

        1.     Read Section 4.3.

        2.     Practice p. 262: 15, 16, 17, 19, 20, 23, 27, 29.

        3.     Hwk 14 (due Wed Nov 28) p. 262: 18, 24, 28, 31, 32, & 37.

        Reminder: Exam 3 covering Sections 3.1, 3.2, 3.3, 3.4 (i.e., what was covered in 3.4), and 4.1 (only the calculation of 2nd & 3rd order determinants), 4.2, 4.3 will be Monday, Dec 3.

Class 36 Mon Nov 19

        1.     Read pp. 238–242 in Section 4.1 & all of Section 4.2.

        2.     Practice p. 248: 1, 10b, 12 and p. 261: 1, 2, 7, 11, 13.

        3.     Exam 3 covering Sections 3.1, 3.2, 3.3, 3.4, and 4.1 (pp. 238–242), 4.2, 4.3 will be Monday, Dec 3.

        Reminder: Hwk 13 (due Wed) p. 226: 2, 6, 8, 14, 39.

Class 35 Fri Nov 16

        1.     Practice p. 226: 3, 5, 7, 9, 35, 46.

        2.     Hwk 13 (due next Wed) p. 226: 2, 6, 8, 14, 39.

Class 34 Wed Nov 14

        1.     Read pp. 218–223 (to Matrix Representations).

        2.     Practice p. 226: 3, 5, 7.

        3.     Hwk 13 (due week from today) p. 226: 2, 6, three more Fri.

Class 33 Mon Nov 12   

        1.     Read pp. 213–218 in Sec 3.4.

        2.     Practice p. 228: 35.

        Reminder: Hwk 12 (due Wed Nov. 14) – p. 211: 6, 8, 10, 12, 16.      

Class 32 Fri Nov 9  

        1.     Practice p. 211: 1, 5, 9, 11.

        2.     Hwk 12 (due Wed Nov. 14) – p. 211: 6, 8, 10, 12, 16.

        Reminder: Hwk 11 p. 202: 12, 18, 20, 22, 27 is due Monday.

Class 31 Wed Nov 7  

        1.     Read Section 3.3 for Friday.

        Reminder: Hwk 11 p. 202: 12, 18, 20, 22, 27.  Turn this in next Monday instead of this Friday.

Class 30 Mon Nov 5  

        1.     Hwk 11 (due Friday) p. 202: 12, 18, 20, 22, 27.

        2.     Start reading 3.3.               

Class 29 Fri Nov 2   Exam 2                                                                                                                                                                                     

Class 28 Wed Oct 31

        1.     Exam 2 on Friday will cover Sections 1.6, 2.1, 2.2, 2.3, & Example 1 on pp. 156-157.   (Section 3.1 will not be on this exam.)

                Cor. 2 & Thm. 1.18 on pp 97-98 were not included in Exam 1 but you will be expected to know them for Exam 2.  

        2.     For Monday, finish reading Section 3.2.

        3.     Practice p. 201: 1, 3, 5, 7, 11, 13, 15, 17, 19, 21.         

        4.     Reminder:  Hwk 10 (due Monday, Nov. 5): p. 189: 8, 16, & 20.  Also p. 201: 4 & 8.

Class 27 Mon Oct 29

        1.     Exam 2 on Fri will cover Sections 1.6, 2.1, 2.2, 2.3, & Example 1 on pp. 156-157.   (Section 3.1 will not be on this exam)

                Cor 2 & Thm 1.18 on pp 97-98 were not included in Exam 1 but you will be expected to know them for Exam 2.  

        2.     For Wed, read Section 3.2.

        3.     Practice p. 201: 1, 3, 5, 7.

        4.     Hwk 10 (due Monday, Nov. 5): p. 189: 8, 16, & 20.  Also p. 201: 4 & 8.

Class 26 Fri Oct 26

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

        2.     For Exam 2, practice p. 189: 1, 3, 5, 7, 13, 15, 20, 22.

        3.     Exam 2 on Wed will cover Sections 1.6, 2.1, 2.2, 2.3, 3.1, & Example 1 on pp. 156-157.

                Cor 2 & Thm 1.18 on pp 97-98 were not included in Exam 1 but you will be expected to know them for Exam 2.                           

Class 25 Wed Oct 24

        1.     Read pp. 180–184 in Section 3.1.

        2.     Read Example 1 on p. 156.

        3.     Practice p. 152: 21, 23, 30 and p. 166: 23.

Class 24 Mon Oct 22

        1.     Study pp. 146–152 in Section 2.3.

        2.     Practice p. 152: 1, 3, 5, 9, 11, 15, 19, 32.

        3.     Hwk 9 (due Friday, Oct 26) – p. 152:  6, 8, 12, 16, & 20.

        4.     Exam 2 on Wed, Oct. 31 will cover Sections 1.6, 2.1, 2.2, 2.3, & 3.1.

                Cor. 2 & Thm 1.18 on pp 97-98 were not included in Exam 1 but you will be expected to know them for Exam 2.   

Fall Break (Oct. 15 – Oct 19)

Class 23 Fri Oct 12

        1.     Hwk 8 (due Monday after the Fall Break) – p. 140: 2, 5, 8, 12, 14.

        2.     Study pp. 142–145 in Section 2.3.

Class 22 Wed Oct 10

        1.     Read Section 2.3.

        2.     Hwk 8 (due Monday after the Fall Break)–p. 140: 2, 5, 8, 12, 14.

Class 21 Mon Oct 8

        1.     Read Section 2.3.

        2.     Practice p. 140: 1, 3, 5.

        3.     Hwk 7 is due Wed.

Class 20 Fri Oct 5

        1.     Read Section 2.2.

        2.     Practice p. 135: 29, 31, 38.

        3.     Hwk 7 (due Wed) p. 135:  15, 24, 26, 30, 36.

Class 19 Wed Oct 3

        1.     Practice p. 135: 17, 21, 27.

        2.     Reminder: Hwk 6 (due this Friday).

Class 18 Mon Oct 1

        1.     Study on your own, Corollaries 1 & 2 and Theorem 1.18 on pp. 96–98. 

        2.     Practice p. 134: 1, 3, 7, 13.

        3.     Hwk 6 (due this Friday) p. 100: 36 & 44 and p. 134: 4, 8, 12.

Class 17 Fri Sept 28   Exam 1                                                                                                                                                                                  

Class 16 Wed Sept 26

        1.     For Monday, Oct. 1 read pp. 125–134.

        2.     Exam 1 on Friday will cover Sections 1.1 to 1.6.  This excludes Cor. 2 & Thm 1.18 on pp 97-98 and Problem 35 on p. 100.

                You may use your solutions of the problems on pp. 99-100.

Class 15 Mon Sept 24

        1.     More practice problems for the exam on Friday–p. 100: 19, 23, 25, 27, 29, 30, 31, 35.

        2.     Reminder:  Exam 1 on Friday will cover Sections 1.1 to 1.6.

Class 14 Fri Sept 21

        1.     Read pp. 93–99.

        2.     Practice p. 99: 1, 3, 5, 9, 11, 14, 17.

        3.     Hwk 5 for Mon–p. 84: 4, 12, 18, 20, 26.

Class 13 Wed Sept 19

        1.     Hwk 5 for Mon–p. 84: 4, 12, 18, 20, 26.

        2.     Read pp. 88–92.

Class 12 Mon Sept 17

  1. Read pp. 88–92.
  2. Practice p. 84: 14, 15, 17, 21, 27, 35.
  3. Exam 1 Friday, Sept. 28 will cover 1.1 to 1.6.

Class 11 Fri Sept 14

  1. Read pp. 79–82.
  2. Practice p. 84: 7, 9, 11, 13.
  3. Hwk 4 is due Monday.

Class 10 Wed Sept 12

  1. Read pp. 75–78.
  2. Practice p. 71: 29, 45
  3. Hwk 4 (for Mon): p. 69: 28, 38, 42, 44, & 48.

Class 9 Mon Sept 10 

  1. Read pp. 65–68 & pp. 73–75.
  2. Practice p. 69: 25, 43, 47.
  3. Hwk 4 (for Mon): p. 69: 28, (more assigned Wed).

Class 8 Fri Sept 7

  1. Read pp. 60–65.
  2. Practice p. 69: 21, 23, 33, 35, 57.
  3. Reminder: Hwk 3 is due Monday.

Class 7 Wed Sept 5

  1. Read pp. 51–59.
  2. Practice p. 47: 35, 41 &  p. 68: 3, 9, 17, 19.
  3. Hwk 3 for Mon: turn in p. 47: 38, 40, 42 & p. 68: 4, 10.

Class 6 Fri Aug 31

  1. Practice p. 47: 21, 23, 25, 26, 29, 32, 39.
  2. Don’t forget about Hwk 2 for Wed.

Class 5 Wed Aug 29  

  1. Read pp. 35–46. 
  2. Practice p. 46: 1, 7, 11, 13, 15, 17, 19.
  3. Hwk 2 for Wed: turn in p. 31: 22, 32, 44 and p. 46: 16, 18.

Class 4 Mon Aug 27  

  1. Read pp. 26–30. 
  2. Practice p. 31: 15, 17, 21, 23, 29, 31, 35, 41a, 42c­.

Class 3 Fri Aug 24  

  1. Read pp. 20–26. 
  2. Practice p. 31: 1–13 (odd)­.
  3. Hwk 1 (due Monday) turn in p. 16: 24, 28, 32, 38, 41a, 42.

Class 2 Wed Aug 22  

  1. Read pp. 9–15. 
  2. Practice p. 16: 17, 23, 29, 33, 35, 37, 39, 40c, 41c (typo in book).
  3. Hwk 1 (due Monday) turn in p. 16: 24, 28, 32, 38, 41a, 42.

Class 1 Mon Aug 20  

  1. Read the Course Handout. 
  2. Read pp. 1–9. 
  3. Practice p. 15: 1 – 15 (odd).

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