"Lecture" for Week 9
Euler!
"From [Euler] on, functions were to play the primary role in calculus, not
curves, as in the time of Newton and Leibniz."
Hallelujah! This portends some relief from tedious geometrical
constructions in favor of comfortable algebra.
Differential equations
Katz's discussions of how Euler (p. 337; Ex. 10) and Clairaut (p. 341; Ex.
15) solved certain differential equations could stand some elucidation.
I find it convenient to discuss them in reverse order:
Book reviews
I genuinely enjoyed reading and grading your reviews, so much so that I
spent most of Thursday doing it and still have not quite finished.
I indulged my secret ambition to be an English teacher; I hope that
e-mail scanner works and all my red marks will be readable. With luck,
you will get corrected papers by e-mail on Monday.
I'll create a "book review" folder on Vista. After you have had a
chance to correct your typos and a few misstatements of fact, I encourage
(but do not require) you to put your reviews there for all to read.
Meanwhile I have not been able to keep up with all the discussion on
Vista, or even some of the e-mail directly to me. The main issue seems to
be the differential-equation problems, addressed above.
I apologize to anyone who feels ignored.