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Spr2021: MAP2302 3148 (14887) Elem.Diff.Eqns MWF6 [12:5013:40] Mat116
Spr2021: MAP2302 9826 (27188) Elem.Diff.Eqns MWF6 [12:5013:40] ONLINE
DiffyQ
Resources
 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
EulerMascheroni constant and Gamma (pdf).
See also
W: Gamma fnc and
Euler's constant.
A place where the Polorcoordinate Trick is used, is
the normalizing constant of the
Gaussian distribution.
For the curious:
The Gamma fnc, and Volume of the nball (pdf).
 Quiz Xciting!
will be available Tuesday, 20Apr2021, at 9AM, via Canvas.
 Current: Pamphlet
N×N determinants (txt)
gives examples, showing that the determinant of an NxN matrix is a degreeN homogeneous polynomial
in Nsquared many variables, with Nfactorial 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
Unequalheight hangingcable problem (pdf)
[currently P.35].
Section
Compartmental analysis is now Appendix D; please skim appendix D.
Our next topic was Convolutions.
 Possibly:
W:
FTODE, PicardLindelöf 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 polynomialtarget 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 twotone blackwhite 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 MathGreek 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,
(7^{th} 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
classarchive 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.
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