Math 24
Linear Algebra (Honors)
Last updated March 02, 2017 11:01:49 EST
Announcements:
 Reading period office hours, Thursday and Friday, 10:0011:30 and 1:303:00.
 As of the evening of Tuesday, March 7, all special homework that has been turned in has been graded. Check Canvas to be sure your grades have been recorded. If there is no grade, this indicates that you turned in the original assignment but must still rewrite it. After the date of our final quiz, any remaining missing grades will be replaced with 0's. When all regular homework has been graded, I will post an announcement; in the meantime, let me know about any missing or incorrect regular homework grades (not including the last week's assignment).
 The takehome final exam is now available on the Math 24 Canvas page. Recall that we also have a final quiz on Tuesday, March 14, during our scheduled final exam period. This will be about equivalent to two xhour quizzes. It is cumulative, but concentrates on recent material.
 The last Math 24 tutorial will be Thursday, March 9.
 Endofterm deadlines: The last day to submit late regular written homework is Wednesday, March 8, the last day of class. The last day to submit late or rewritten special homework is Tuesday, March 14, the day of our final quiz. The due date for the takehome final is also Tuesday, March 14.
 Office hours Monday, 2/27, have been changed to 3:304:30.
 The final exam schedule has now been posted. Our last quiz will be during our final exam period, 8 AM, Tuesday, March 14, in 105 Kemeny.
 The fifth and last special homework assignment, due Monday, February 27, has been posted on the Documents page.
 The fourth special homework assignment, due Monday, February 20, has been posted on the Documents page.
 The Canvas grade book has been updated. A 0 for a special assignment indicates that it has not been turned in; a missing grade indicates that I am waiting for a rewrite. Let me know if there is any discrepancy between recorded grades and grades on returned papers you have.
 The second midterm exam is now available on the Math 24 Canvas page.
 The third special homework assignment, due Monday, February 6, has been posted on the Documents page.
 The second special homework assignment, due Monday, January 30, has been posted on the Documents page.
 The first midterm exam is now available on the Math 24 Canvas page.
 The general information page has new homework policy information. (This is not a change, just a further explanation.)
 For all those who asked: On the Documents page is a link to a handout by Prof. Knill at Harvard, mentioning a number of applications of linear algebra.
 The first special homework assignment, due Wednesday, January 18, has been posted on the Documents page.
 On the Documents page, you can find a link to the handout on proofs we worked through in the xhour on January 5.
 If you have not yet received your Math 24 textbook, you can find a copy of the first chapter on the Math 24 Canvas page.
Homework Assigments
Be sure you are fully aware of the content of the
general
information page. That page contains information about exams and homework due dates, among other things.
It is your responsibility to know what homework is assigned and when it is due. Homework assignments will be posted on this page.
Written homework is generally due the first day of class on the week after it is assigned (as explained on the general information page).
Reading assignments are generally due, and reading quizzes given, on the next class day.
Homework Assigments
Week of January 46, 2017 
Assignments Made on: 
Wednesday:
 Read: Sections 1.1 and 1.2.
 Possible Reading Quiz Questions: Section 1.2, exercise 1.
 Written Homework: Questionnaire, due Friday January 6.

Friday:
 Read: Section 1.3.
 Possible Reading Quiz Questions: Section 1.3, exercise 1.
 Written Homework: Section 1.2, exercises 9, 18.

Week of January 913, 2017 
Assignments Made on: 
Monday:
 Read: Section 1.4.
 Possible Reading Quiz Questions: Section 1.4, exercise 1.
 Written Homework: Section 1.3, exercises 10, 15, 19.

Wednesday:
 Read: Section 1.5.
 Possible Reading Quiz Questions: Section 1.5, exercise 1.
 Written Homework: Section 1.4, exercises 5dfh, 10, 12.
 Reminder: Quiz during the xhour on Thursday.

Friday:
 Read: Section 1.6.
 Possible Reading Quiz Questions: Section 1.6, exercise 1.
 Written Homework: Section 1.5, exercises 2bf, 7, 17.

Week of January 1620, 2017 
Assignments Made on: 
Wednesday:
 Read: No new reading.
 Possible Reading Quiz Questions: None.
 Written Homework: Section 1.6, exercises 4, 7, 11, 14.
 Change: Class meets during the xhour on Thursday, but there is no quiz.

Thursday:
 Read: Section 2.1.
 Possible Reading Quiz Questions: Section 2.1, exercise 1.
 Written Homework: No new written homework.

Friday:
 Read: No new reading.
 Possible Reading Quiz Questions: None.
 Written Homework: Section 1.6, exercise 23; section 2.1, exercise 10.

Week of January 2328, 2017 
Assignments Made on: 
Monday:
 Read: Section 2.2.
 Possible Reading Quiz Questions: Section 2.2, exercise 1.
 Written Homework: Section 2.1, exercises 4, 17, 18.

Wednesday:
 Read: Section 2.3.
 Possible Reading Quiz Questions: Section 2.3, exercise 1.
 Written Homework: Section 2.2, exercises 3, 5bde, 8.

Friday:
 Read: Section 2.4.
 Possible Reading Quiz Questions: Section 2.4, exercise 1.
 Written Homework: Section 2.3, exercises 3, 4bd, 12a; for the last question in 12a, give either an explanation or a counterexample.

Week of January 30February 3, 2017 
Assignments Made on: 
Monday:
 Read: Section 2.5.
 Possible Reading Quiz Questions: Section 2.5, exercise 1.
 Written Homework: Section 2.4, exercises 4, 6, 15.

Wednesday:
 Read: Section 2.7.
 Possible Reading Quiz Questions: Section 2.7, exercise 1.
 Written Homework: Section 2.5, exercises 5, 6ac 7. (For 7b, interpret projection geometrically, as the perpendicular projection.)

Friday:
 Read: Sections 3.1, 3.2.
 Possible Reading Quiz Questions: None.
 Written Homework: Section 2.7, exercises 3, 8, and 9. For exercise 9, first give a careful proof by induction on $n$ that, under the assumptions of the problem, the composition (U_1)(U_2)…(U_n) is equal to the composition (U_1)…(U_(i1))(U_(i+1))…(U_n)(U_i). (That is, the composition can be rearranged to put U_i at the rightmost end.)

Week of February 6February 10, 2017 
Assignments Made on: 
Monday:
 Read: Sections 3.3,3.4.
 Possible Reading Quiz Questions: None.
 Written Homework: Section 3.2, exercises 5f, 6e, and 7.

Wednesday:
 Read: Section 4.1,4.2.
 Possible Reading Quiz Questions: None.
 Written Homework: Section 3.3, exercises 2d and 3d (note that (2,2,1) is one solution); section 3.4, exercise 4b.

Friday:
 Read: Sections 4.3,4.4.
 Possible Reading Quiz Questions: Section 4.4, exercise 1.
 Written Homework: Section 4.2, exercises 10, 22, 26.

Week of February 13February 17, 2017 
Assignments Made on: 
Monday:
 Read: Section 5.1.
 Possible Reading Quiz Questions: Section 5.1, exercise 1.
 Written Homework: Section 4.3, exercise 12; section 4.4, exercise 4eg.

Wednesday:
 Read: Section 5.2.
 Possible Reading Quiz Questions: Section 5.2, exercise 1.
 Written Homework: Section 5.1, exercises 3cd, 4dh and 7a (notice that you are proving that det(T) is welldefined).

Friday:
 Read: Section 5.3.
 Possible Reading Quiz Questions: Section 5.3, exercise 1.
 Written Homework: Section 5.2, exercises 2cde, 3cde, and 7.

Week of February 20February 24, 2017 
Assignments Made on: 
Monday:
 Read: Section 5.4.
 Possible Reading Quiz Questions: Section 5.4, exercise 1.
 Written Homework: Section 5.3, exercises 8bd, 9bd, 11.

Wednesday:
 Read: Section 6.1.
 Possible Reading Quiz Questions: Section 6.1, exercise 1.
 Written Homework: Section 5.4, exercises 3, 6d, 9d, 10d.

Friday:
 Read: Section 6.2.
 Possible Reading Quiz Questions: Section 6.2, exercise 1.
 Written Homework: Section 6.1, exercises 2, 3, 12, 17.

Week of February 27March 3, 2017 
Assignments Made on: 
Monday:
 Read: Section 6.3.
 Possible Reading Quiz Questions: Section 6.3, exercise 1.
 Written Homework: Section 6.2, exercises 2ac, 6, 13.

Wednesday:
 Read: Section 6.4.
 Possible Reading Quiz Questions: Section 6.4, exercise 1.
 Written Homework: Section 6.3, exercises 2a, 3b, 7, 12.

Friday:
 Read: Section 6.5.
 Possible Reading Quiz Questions: Section 6.5, exercise 1.
 Written Homework: Section 6.4, exercises 2bdf, 9.

Week of March 6March 3, 2017 
Assignments Made on: 
Monday:
 Read: Sections 6.6 and 6.7.
 Possible Reading Quiz Questions: None.
 Written Homework: No new written homework. Work on the takehome final.
 Takehome Final Due: Tuesday, March 14, the day of our final quiz.
 Last Day to Submit Late Regular Written Homework: Wednesday, March 8, the last day of class.
 Last Day to Submit Late or Revised Special Written Homework: Tuesday, March 14, the day of our final quiz.

Marcia Groszek
Last updated March 02, 2017 11:01:49 EST