Math H54 - Honors Linear Algebra and Differential Equations

Fall 2008
Professor A. Paulin
TuTh 3:30 - 5:00 in 70 Evans
GSI: Manny (Manuel) Reyes
Discussion Section MWF 3:00 - 4:00 in 70 Evans

Finals week office hours

During the last week before finals, I will hold my usual office hours and a little extra:
  • Wednesday, 12/17: 12:00 - 2:00 PM
  • Thursday, 12/18: 12:00 - 2:00 PM

    Homework Solutions and Handouts

    Please inform me of any typos or errors in these solutions and handouts.
  • HW 2
  • HW 3
  • HW 4
  • HW 5
  • HW 6
  • HW 7
  • HW 8
  • Some comments about the Wronskian

    Discussion Section Problems

    These are the book problems that I intended for us to cover each day during discussion section. We may not have had time to go over each of these problems, so they can serve as good review at home.

    Linear Algebra problems
    [9/12] 2.1: 9-13, 17-20; 2.2: 1,5,8,10
    [9/15] 2.2: 14, 17, 25, 26, 32, 33; 2.3: 3-6, 8
    [9/16] 2.3: 16-25; 3.2: 31-36
    [9/19] 3.3: 29-32
    [9/22] 4.1: 1-13
    [9/24] 4.1: 19-24, 29-34
    [9/26] 4.2: 31-36
    [9/29] 4.3: 1,8,11,12,21,23,24,31-34
    [10/1] 4.5: 10, 13, 19-21, 25-28, 31, 32
    [10/3] 4.6: 1, 7, 9, 13
    [10/6] 4.6: 14-17, 19-21, 26-30
    [10/8] Midterm 1 Problems; 4.6: 4
    [10/10 and 10/13] 4.7: 7-10
    [10/15] 5.1: 1-4, 9, 16, 20, 21, 25, 26
    [10/17] 5.2: 1, 2, 9, 11, 17, 20, 24
    [10/20] 5.3: 1, 5, 8, 10, 11, 12, 27, 28, 31, 32 ; Plus: diagonalize the pi/2 rotation matrix over the complex numbers
    [10/22] 6.1: 9, 15, 16, 24, 29, 30, 31
    [10/24] 6.2: 11, 13, 15, 26, 27, 29, 30; 6.3: 1, 3, 7, 11, 12, 21, 24
    [10/27] 6.4: 1, 9, 10, 22; 6.7: 1, 3, 7, 13, 14, 25, 26
    [10/29] 7.1: 27, 28, 30

    Differential Equations problems
    [10/29] 4.2: 1, 14, 27-32, 40, 41, 43
    [10/31] 4.3: 1, 9, 10, 21
    [11/3] 4.4: 1, 2, 9, 15, 16, 26, 27-32
    [11/5] 6.1: 15, 16, 17; 6.2: 1, 11, 15
    [11/7] 6.2: 6, 12, 13, 14; 9.4: 1, 3, 10, 11, 13, 15, 16, 18
    [11/10] 9.4: 26
    [11/12] p.233, problem A
    [11/14] Midterm 2 Problems
    [11/17] p.235, problem D; p. 237, problem F
    [11/19] 9.5: 12, 13, 14, 16
    [11/21] 9.5: 9, 10 (also, problems from 9.6 would be useful for study)
    [11/24] Some in-class Jordan normal form problems
    [11/26] p. 572, problem A; p. 574, problem B
    [12/1] 10.2: 27-30
    [12/3] 10.3: 9-16
    [12/5] 10.4: 19
    [12/8] 10.4: 5-10, 17-19
    For those who would like more information on how proofs work:
    I first learned about proofs from the book "How to Read and Do Proofs" by D. Solow. It may be a good place to start, if you can find a copy of it. Here is some information on the book, and here it is on Amazon. (I used the 3rd edition of the book, which is probably just as good if you are looking to find a used copy.)

    Midterm 1 Review Session

    We had our review session for Midterm 1 on Sunday 10/5 in 3 Evans (note the different location) from 4-6 PM.

    Midterm 2 Review Session

    Our review session for Midterm 2 was held on Sunday 11/9 in 70 Evans (our usual classroom) from 5-7 PM.

    Final Exam Review Session

    Our review session for the final exam took place on Sunday, December 14 from 3-5 PM in 75 Evans (this is not our usual room, but it's just across the hall).
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