Date Assigned
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Date Due
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Assignment
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Comments
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| 28 Aug |
1 Sep |
§1.1 (p. 12) # 3, 6, 7, and 8
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#8 is easier than it might appear at first; the point in (b) is that
knowing k, Q(0)=q0, and Q(t1)=q1 is enough to compute t1. In fact, the
solution process is identical to the one using k, y(0)=y0, and y(t1)=y1.
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| 1 Sep |
8 Sep |
§1.2 (p. 27) # 10, 13ac, 15, 17, 18, 21, 24, 33
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The answer to #24 should involve a definite integral. Before you
try to evaluate this integral, why don't you see what Maple gives
for this problem?
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| 1 Sep |
8 Sep |
§1.3 (p. 39) # 6, 8
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#8 is a long problem -- start on it now! I suggest using Maple for
some of the integrations (if you need help). I will be happy to
show you how to do this, if needed.
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| 8 Sep |
15 Sep |
§2.1 (p. 39) # 2, 5
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Remember to read - and answer - the questions.
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| 11 Sep |
15 Sep |
§2.2 (p. 72) # 10, 16, 21, 27
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| 11 Sep |
15 Sep |
§2.3 (p. 83) # 8, 12
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| 13 Sep |
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§2.4 (p. 92) # 3, 6, 12, 13, 18
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These problems will not be collected. This material will be on Exam 1.
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22 Sep |
Exam 1
(Solution Key)
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Chapters 1 and 2 (through 2.4)
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| 25 Sep |
29 Sep |
§3.1 (p. 135) # 2, 9, 13, 15abc
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This is not a long assignment, but do not put it off until the last minute.
Try the problems before Wednesday's class. See what additional information
you need to finish the problems, then be sure I provide this in class.
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Read the questions carefully. Some ask only for the IVP, not its solution.
Others ask for information that can be obtained directly from the ODE.
If a solution is not requested, do not find one. Likewise, if a plot is
requested provide a plot that shows significant information about the
problem: amplitude, period, phase shift, ....
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| 2 Oct |
6 Oct |
§3.3 (p. 160) # 1, 2, 9, 10, 12, 21
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- For #21, lookup the definitions of the hyperbolic functions.
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| 4 Oct |
13 Oct |
§3.3 (p. 160) # 15, 18, 20
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- Refer to §2.4 (p. 90) as needed for the details of
the Existence and Uniqueness Theorem for linear ODEs.
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| 6 Sep |
13 Sep |
§3.4 (p. 168) # 3, 6, 8, 11
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- For #8, do not forget the long-time approximation.
- For #11, take this one step at a time and refer to §3.1
as needed for background information on mass-spring models.
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13 Oct |
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§3.5 (p. 177) # 6, 9, 13
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- These problems are very similar to the ones in § 3.4.
The main difference is that you should find complex-valued
roots to the characteristic polynomial.
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| 13 Oct |
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§3.6 (p. 186) # 2, 5, 8
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- Read the directions. In particular, for #8 your answer will
involve a definite integral.
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| 13 Oct |
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§3.7 (p. 198) # 1, 3, 6
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- Refer to pages 192-193 for a discussion of Cauchy-Euler equations.
- The key is to convert each ODE to an ODE with constant coefficients.
After finding the solution to this equation, all that remains is to
undo the conversion.
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18 Oct |
Exam 2
(Solution Key)
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| 23 Oct |
27 Oct |
§4.1 (p. 216) # 4, 5
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| 23 Oct |
27 Oct |
§4.2 (p. 226) # 4, 5, 15
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| 27 Oct |
3 Nov |
§4.3 (p. 239) # 2, 5, 7, 16, 20, 23
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| 27 Oct |
3 Nov |
§4.5 (p. 260) # 4, 12, 15
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- Do not hesitate to use Maple, or a table of integrals, to evaluate
some of the integrals.
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| 30 Oct |
3 Nov |
§4.6 (p. 271) # 1, 5, 10, 15
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- #15 requires careful reading and some attention to detail.
Start it early and ask questions. We will talk more about
this problem in class.
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| 30 Oct |
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§4.4 (p. 250) # 3, 7, 9
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| 6 Nov |
10 Nov |
§6.1 (p. 341) # 2, 5, 8, 13
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| 8 Nov |
15 Nov |
§6.2 (p. 354) # 1, 6, 9, 16
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| 10 Nov |
15 Nov |
§6.3 (p. 365) # 2, 5, 8, 14
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20 Nov |
Exam 3
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Chapters 4 (not §4.4)
and 6 (§6.1-6.3)
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| 27 Nov |
31 Nov |
§6.4 (p. 376) # 13, 14, 15
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| 27 Nov |
31 Nov |
§6.5 (p. 385) # 3, 5
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| 27 Nov |
31 Nov |
§6.6 (p. 376) # 3, 4
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Extra Credit - Follow the examples in the text and be ready to talk about
these problems in Friday's class.
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