Math 55b: Questions and Answers

Q     What will Math 55b cover?

A     Most of the Calculus topics from Rudin (Chapters 5-10), fortified with 55 vitamins, minerals, and secret herbs & spices; and a selection of topics in Fourier analysis from Körner.

Q     Will Math 55b be harder than Math 55a?

A     I expect so; at any rate it should be no easier than Math 55a for most students.

Q     What's ``thrice''? The word occurs in PS1, Problem 1/ii.

A     It's in the dictionary -- once : twice : thrice :: 1 : 2 : 3. As far as I know the sequence ``once, twice, thrice'' has no fourth term in English (though it does have a zeroth term of sorts in ``never'').

Q     How do I get TeX to do the << notation? The output of ``f<<g'' looks really ugly.

A     Use \ll (and likewise \gg for >>). See This PDF document for an extensive list of such commands.

Q     #7 on PS1 reads ``Solve problem 27 on page 119 (which also requires problem 26).'' Does that mean I should also solve problem 26?

A     Yes.

Q     What's this about the ``Stone-Cech compactification''?

A     See Dunford & Schwartz, Linear Operators I, p.274 ff.; for one overview, see this Web page.
(The name Cech should have a v-shaped diacritical mark above the capital C; this can be done in LaTeX with ``\v{C}'', but does not seem to have a standard HTML command. The pronunciation is like the first syllable of ``Chekhov''.)

Q     Where exactly can I find that article on the generalization of Calabi's trick to evaluate zeta(n) for even integers n>0 (and the analogous alternating sums for odd n>0)?

A     Start here.