Math 131AH, Winter 2003 (Section 1)
Honors Analysis
The final is at Boelter 5249, on Wednesday March 19, 11:30
pm - 2:30 pm.
Course Information
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Official
stuff
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Stuff
specific to 131AH/1 Winter 2003
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(*) - The course description and textbook and schedule are for 131A, not 131AH,
so these pages are only a very rough guide as to what to expect from the
course.
Lecture
notes
We recommend that you read the lecture notes and the
textbook concurrently with (or prior to) the lectures. If you only read these
sources occasionally and after the fact (e.g. when your homework is due) then
you will not get the most out of the course.
Sample exams and solutions
Miscellaneous
- A supplemental handout on logic.
You may also enjoy these lighter-hearted logic
puzzles of Lewis Carroll as practice.
- A supplemental handout on set
theory. (Errata: on line 21 of
page 8, “(d) Show that (A\B) U B = A
[...]” should be "(d) Show that (A\B) U B = A U B [...]". Thanks to Edoardo Buscicchio for this
correction.)
- A supplemental handout on the
decimal system (optional reading)
- The notion of two sets having equal cardinality if
there is a bijective mapping between them is intuitively obvious, but
there are still some subtleties if one tries to extend this idea beyond
just counting sets. Take a look at the missing
square puzzle or the Leprechaun puzzle to
see some of those subtleties.
- Real analysis was developed by several key
mathematicians, mostly in the nineteenth century, including Cantor,Cauchy,Dedekind,Hilbert,Lebesgue,Peano,Riemann,
and Weierstrass;
these links point to biographies of these famous mathematicians.