"I'm going to do my homework!"
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Before our first class...
If you happen to see this before Monday, it would be wonderful if you
could read through sections 1.1 and 1.2 of Hill.
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Due Tuesday, June 27:
- Hill Section 1.1: #14, 16, 18, 24, 26, 28
- 1.2: #8, 10, 12, 16, 18, 20, 22, 24, 26, 28, 29
- Read Section 1.3
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Due Wednesday, June 28:
- Section 1.3: #2, 4, 8, 10, 12, 14, 16, 22, 24, 28, 29, 32
- Read Section 1.4
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Due Friday, June 30:
- Section 1.4: #6, 7, 8, 11, 12, 15, 16, 20
- 1.4 cont.: #25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 39, 40,
48, 49
- Read Section 3.1
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Due Monday, July 3:
- One more thing from chapter 1: Read Section 1.6 up to the top of page 73
(where it says Band Matrices). We'll need the definitions and easy facts
about transposes and symmetric matrices later. I won't be covering it in lecture,
but please ask if you have any questions during discussion.
- Section 1.6: #7, 11
- Section 3.1: #16, 21, 22, 30, 37, 39, 41, 43, 45,
49, 50
- Section 3.2: #7, 9, 11, 13, 15, 18, 19, 25, 27, 29, 34, 36
- Read Section 3.3
- Have a good weekend!
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Due Wednesday, July 5:
- Section 3.3: #11-15, 17, 18, 20, 23, 25, 26, 29, 32-35
- Read Section 3.4
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Due Thursday, July 6:
- Section 3.4: #2, 3, 5, 7, 11, 12, 13, 17, 18, 19, 20, 25, 28,
29-32, 33, 35, 37 (for these last three you may ignore the part about
sketching the vectors and their span)
- No new reading; review for the exam!
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Due Monday, July 10:
- Read Section 3.5
- Section 3.5: #3, 5, 15, 17, 18, 21, 24, 25
- These are short problems, so you may want to start thinking about
Tuesday's assignment as well.
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Due Tuesday, July 11:
- Section 3.5: #30, 31, 32, 33, 34, 35
- Read Section 3.6
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Due Wednesday, July 12:
- Section 3.6: #7, 8, 12, 17, 18, 21, 24, 27, 28, 33, 35, 49,
51
- Read Section 3.7
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Due Friday, July 14:
- Section 3.7: #3, 6, 8, 12, 14, 15, 17, 21, 23, 33, 34, 35, 43,
44, 48, 49
- Read Section 3.8
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Due Monday, July 17:
- Section 3.8: #3, 5, 9, 11, 19, 21, 22, 26, 29, 30, 31
- Read Section 4.1
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Due Tuesday, July 18:
- Section 4.1: #1, 4, 8, 11, 14, 20, 22, 26, 28, 30, 33, 34, 36,
38, 40, 41
- Read Section 4.2
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Due Wednesday, July 19:
- Section 4.2: #7, 10, 11, 14, 16, 23, 25, 26, 27, 38, 40, 43,
44, 47
- Read Section 4.3
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Due Thursday, July 20:
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Section 4.3: #1, 8, 9, 10, 11, 14, 19, 20, 21
- Review for the exam
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Due Tuesday, July 25:
- Read Section 4.4
- Section 4.4: #2, 4, 6, 18, 20, 21, 23, 24, 27, 28, 29, 30
- Read Section 5.1
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Due Wednesday, July 26:
- Section 5.1: #4, 6, 7, 10, 11, 14, 15, 16, 18, 19, 20, 22, 23,
24, 26, 28, 30, 32, 34, 38
- Read Section 5.2
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Due Thursday, July 27:
- Section 5.2: #4, 11, 12 (on these don't bother with: (d) graph
the eigenspaces), 14, 18, 19, 23, 24, 25, 27, 30, 31
- Read Section 5.3
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Due Friday, July 28:
- Section 5.3: #2, 4, 5, 8, 10, 12, 17, 18, 21, 22, 31, 32
- Read Section 5.4
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Due Monday, July 31:
- Section 5.3: #33, 34 (skip (c) and (d))
- Section 5.4: #1, 2, 4, 8, 12, 17, 18, 20, 23, 24, 25
- Read Boyce and DiPrima, Section 3.1
- Reflect on linear algebra. The good times, the bad times...
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Due Tuesday, August 1:
- Boyce and DiPrima, Section 3.1: #1, 3, 5, 7, 9 (in these
problems, you don't need to sketch the graph, but you should say what
happens when t approaches infinity), 11, 13, 15, 17, 18
- Read Section 3.2
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Due Wednesday, August 2:
- Section 3.2: #1, 3, 5, 7, 10, 12, 13, 14, 17, 28, 32 (be
careful about the constants you get from integrating here!)
- Read Section 3.3
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Due Thursday, August 3:
- Section 3.3: #1, 3, 4, 9, 11, 12, 13, 15, 16, 21, 24, 25, 26
- Review for the exam...it's on Friday!
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Due Tuesday, August 8:
- Section 4.1: #3, 5, 11, 14, 16, 20(a)-(c) (you may want to
think about (d) as well, just for kicks), 21, 24, 25
- Skim Section 7.1
- Read Section 7.5
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Due Wednesday, August 9:
- Section 7.5: #1, 3, 5 (as usual, don't bother with the
drawings), 11, 18, 29
- Read Sections 7.6, 7,7
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Due Thursday, August 10:
- Section 7.6: #1, 3, 5, 7 (skip the sketches)
- Section 7.7: #1, 3, 11, 16
- Read Sections 10.1
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Due Friday, August 11:
- Section 10.1: #1, 5, 8, 10, 12, 16, 18
- Two hints on the problems: For the nonhomogeneous equations, 8 & 10 may require you to begin by
guessing (educatedly!) a solution to the differential equation. This gives you one solution, but
you want the general solution. To get this from your one solution, next solve the corresponding
homogeneous differential equation and apply problem 2 from the practice problems from before the
last exam. To solve the equation in 12, note that it is exact (see Section 3.2, #28).
- Read Section 10.2
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Due Monday, August 14:
- Section 10.2: #4, 5, 10, 14, 16, 17, 18 (do the sketches this
time!), 27
- Read Section 10.3
- Not actually homework, but in class I mentioned I'd post some links
to interesting Fourier series java programs online, so...
These are
just the first two that came up for a google search for "fourier series
applet", but they both do their thing well enough:
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Due Tuesday, August 15:
- Section 10.3: #1, 3, 5, 18 (see note below)
- Section 10.4: #3, 5, 7, 9, 16, 17, 18, 32, 34
- Read Section 10.5
- #18 is a bit harder than the usual problems, as it requires you to remember some facts
about series, in particular the Comparison Test. Also, you should use the fact that f(x), being
piecewise continuous on [-L,L], is bounded. See how far you can get with this one, and we'll
discuss it on Tuesday.
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Due Thursday, August 17:
- Section 10.5: #1, 3, 5, 7, 8, 11
- Review for the exam!!
On grading homework..
The grading scheme for homework is 2 points for each of two selected
graded problems, and 2 points for general completion, for a total of 6
points.
Homework will be accepted up until my office hours (10:30-11:30am) on the day it's due. After
that, you may still turn in late homework, but it will only be graded for completion (so you will
receive a maximum of 2 points out of 6).
Onward ho! To the course outline, or..
Back to the course homepage.