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Spr2021: MAP2302 3148 (14887) Elem.Diff.Eqns MWF6 [12:50-13:40] Mat116
Spr2021: MAP2302 9826 (27188) Elem.Diff.Eqns MWF6 [12:50-13:40] ONLINE
DiffyQ
Resources
- Quiz
Xciting!
was our last quiz of the semester, and now has all solns.
[Ignore the answers listed in Canvas; they are placeholders.]
- Current:
The Laplace transform (pdf)
has an example, a simplification of tapping on a bell.
Also available is a small
Table of Laplace transforms (pdf).
- Current:
The useful
Euler-Mascheroni constant and Gamma (pdf).
See also
W: Gamma fnc and
Euler's constant.
A place where the Polor-coordinate Trick is used, is
the normalizing constant of the
Gaussian distribution.
For the curious:
The Gamma fnc, and Volume of the n-ball (pdf).
- Current: Pamphlet
N×N determinants (txt)
gives examples, showing that the determinant of an NxN matrix is a degree-N homogeneous polynomial
in N-squared many variables, with N-factorial many terms.
The document now has an example of the trick for quickly computing the Det() of a 3x3 matrix.
It also computes the Wronkskian of a list of three functions.
(THe top of the document was written for an Algebra course, and has material we do not need.)
- Current:
Delve into our DiffyNotes (pdf).
[Sunday, 14Mar2021].
DNotes now has an
Unequal-height hanging-cable problem (pdf)
[currently P.35].
Section
Compartmental analysis is now Appendix D; please skim appendix D.
Our next topic was Convolutions.
- Possibly:
W:
FTODE, Picard-Lindelöf theorem.
-
Wonderful W
was everyone's favorite, as it answered that burning light bulb question...
Happily,
Wonderful W with solns
is available. As always, corrections welcome.
- The
Gentle quiz V
[now
with solutions],
everyone agreed, was
a sinh !
- Mr. Spock appreciated the Logistical
Quiz U,
admiring the reference to his friend, Bernoulli,
who`encourages folks to post solutions
(not just answers) to our Archive.
Whoa!, now we have
all Curious U solns!
- The enthusiastically received
Cool Quiz T
allowed scholars to exhibit their polynomial-target skills.
For your reading pleasure:
Quiz T with solns.
- Spiffy
Fun Quiz S
elicited shouts of enthusiam. Admirers remarked on its clean lines, and
efficient two-tone black-white format, marveling at the similarity of the CCLDE
problem to what is in DiffyNotes.
A Triumph!
, concluded all the major newpapers,
with customers clamoring for more DfyQ Knowledge...
- Past:
Wikipedia:
W:Complex number
and
W:Exponential function.
- Past:
Practice:
Binomials, complex arithmetic
- Past:
The Math-Greek alphabet (pdf).
- Past:
Learn the abbreviations on the first page of DiffyNotes.
- Past:
W: (skim) ODE.
W: (skim) Linear DE.
W: SoV
W:(skim) Differential Eqn.
- DfyQ syllabus
[Monday, 12Apr2021]
Textbook:
Fundamentals of Differential Eqns with Boundary
Value Problems,
(7th edition).
Author: Nagle, Saff & Snider.
[While that is the official textbook, you may use the
6th, 7th,8th, or 9th editions.]
[We will also use Wikipedia and perhaps other online sources.]
Our Teaching Page
has useful information for students in all of my classes.
It has my schedule,
LOR guidelines,
and Usually Useful Pamphlets.
One of them is the
Checklist
(pdf)
which gives pointers on what I consider to be good mathematical
writing.
Further information is at our
class-archive URL
(I email this private URL directly to students).
Assignment for Add/Drop week
Good engineering practice
comes from
Experience …
*
*
*
Experience
comes from
Bad engineering practice.
Pentium FDIV bug
and
Healthy scepticism; knowing how to estimate .
Tacoma Narrows collapse
and
W:Tacoma Narrows Bridge
and
TNB People 2
and
TNB People 1.
Explanations:
TNB, physics
and
TNB, lessons.
Aeroelasticity#Flutter
and
Vortex shedding.
John Hancock building was a pane.
FIU pedestrian-bridge collapse
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