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MAA4402 8436(15961) Functions Complex Var. MWF6[12:5013:40] LIT223
Aut2021: MAA5404 8442(15579) Intro Complex Var. MWF6 LIT223 (CE)
Complex Analysis
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David Grabiner
.
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).

The highlyanticipated
IOP Z
[that was due Thursday, 09Dec2021]
now has a
version with all solutions.
 W: Gamma function
and jk: gamma and Gamma (pdf),
as well as
EulerMascheroni.
An application is computing
Volume of the nball (pdf).

ClassX (pdf),
(now with
ClassX solns)
went off without a hitch.
A panoply of nice Residue and Contourintegral problems
led admirers to praise the straightforwardness of the problems,
and the simple yet elegant layout on the page.
 Conveniently, in one location, all
15
Plex quizzes this semester (pdf).
[Wednesday, 08Dec2021]
 PlexNotes (pdf).
[Wednesday, 17Nov2021]
with several examples of contour integration.
Available also is an
exposition of Taylor's Thm on R.
 The useful W: Jordan's lemma
to an integral along a semicircle goes to zero, as
the radius goes to infinity.
 A First Course in Complex Analysis
[hyperlinked PDF]
and
AFCiCA
[PDF identical to paperback]
are made freely available by the authors,
Matthias Beck, Gerald Marchesi, Dennis Pixton & Lucas Sabalka.
It is from
Prof. Beck's website.
 Look what the cat dragged in...
 An
Integral Calculator
that allows “infinity ” and “infinity ”
to be typed as the LimitsofIntegration.

The nifty
ClassW (pdf),
elicited shouts of enthusiasm. Admirers remarked on its minimalistic
twotone format, and marveled at the essay question's similarity to
a proof done in class, and in PlexNotes. A Triumph!
,
declared all the major newspapers... and NPR!
(And we have
ClassW solns online.)
Even niftier
is that
WBonus
(happily added to ClassW score)
now has all solns.
Please let me know of errors.
(BTWay, the Bonus was due Monday, 08Nov2021.)
 Some typeset solns to HW problems.
[Sunday, 24Oct2021]
 Our exciting
ClassV
took place on Wednesday, 06Oct2021, in class.
Folks enjoyed that it was staggeringly similar to the previously posted
Practice problems PDF,
and that three of those problems were solved in class.
(Available is
all solns to ClassV.)
 Current
Plex 2021t syllabus with examdates.
 A Cinfinity function which is not everywhere analytic (pdf).
 Nostalgic?, see
Spring 1999.
or
Spring 2017.
 An online
Complexnumbers calculator.
[I haven't played with it much, so cannot vouch for accuracy. Note that
extending logarithm to the Complex plane involves choices, as complex log() is multivalued;
be cautious with the log() symbol on this calculator.]
 The useful MathGreek alphabet (pdf).
Assignment for first week of class; please complete
by Sunday, 29Aug2021:
(See below, for the materials referred to.)
 Learn the MathGreek alphabet.
 In my PlexNotes, read pages 14, memorize abbreviations
in Appendix: Notation (pp.2425, currently),
and review Binomial coefficients
in Appendix B: Binomials.
 In our text B&C
[Brown & Churchill],
read pages 139 and writeup
(but do not handin) at least 3 HW problems
from those pages.
 Get the basics of
Setbuilder notation
(up through “Equivalent predicates...”).
Important:
For us, the (doublebar N)
symbol
ℕ={0,1,2,...};
i.e zero is a natural number, a natnum.
We use
ℤ_{+}={1,2,3,4,...}
for the set of positive integers; the posints.
 Refresh your memory on your Calc 2. Taylor series material
(absolute/conditional convergence, radius of convergence, Taylor polynomial and error term, etc.)
Our textbook is
Complex Variables and Applications,
9^{th} edition.
Author:  Brown, Churchill 
ISBN:  9780073383170 
Year:  2014 
Publisher:  McGrawHill 
Quantifiers
∀ and
∃
(“for all”
and
“there exists”)
are like nitroglycerin, in that one little misstep leads to the whole
thing blowing up in your face.
There is no partial credit when it comes to Explosives and Quantifiers.
JLF King
The various Math czars who help out:
Time 
Computer 
Blackboard 
ESProbs 
Phonelist 
Yasmeen 
? 
? 
? 
? 
JK Home page