C'mon in! 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 class-archive URL (I email this private URL directly to students).
The various Math czars who help out:
ES-Probs | Computer | Time | Chalk | Blackboard | Phone-list |
---|---|---|---|---|---|
Mallory | Corey | David S. | Esther | Kristen | Blanko |
(∃ another photo at bottom of page)
...was due, slid u n d e r my office door (Little Hall 402, Northeast corner) , no later than noon, Friday, 9Dec2011.
Better than getting bitten by a rabid squirrel!
, was
the general consensis.
(A minority opined
Comparable to rabid-squirrel bites —but with
less fur...
)
Our class has a LISTSERV archive. I will email out to each student how to post-to and read-from the Archive.
Author: | Daniel J. Velleman | ISBN-13: | 978-0521675994 |
Year: | 2006 | Publisher: | Cambridge University Press |
Here is part of the Autumn 2009 SeLo page:
The various Math czars who helped out:
Computer | Time | Phone-list | Chalk |
---|---|---|---|
Marc | Sigrun | Cara | John |
Individual-Project Home-E was due 1PM, Friday, 11Dec2009, carefully typed, but diagrams may be hand-drawn.
The fascinating SeLo-D (pdf) got rave reviews; the Crowd Clamored for More! [Wed, 18Nov.]
Some examples of computer generated Lmino tilings (txt).
We had the stimulating SeLo-C (pdf) in class on Wed, 28Oct.
Hopefully, Eager Mathematicians rush to post Solutions….
the empty sum,
empty product
empty max
empty gcd?
Indexed and non-indexed big-operators.
Decimal notation and repeated decimals
.
Binomial and multinomial coeffs. Proof of Fermat's Little Thm by induction. Using a binomial coeff to count the number of ways of choosing N objects out of T distinguished types.
There was a makeup SeLo-B (pdf) for those with a legitimate reason for missing the original; please post solns.
We: Started Quantifiers and reviewed Free variables and these functions: d(), sigma(), EulerPhi(), floor(), ceiling(). Discussed notations for tuples/sequences, gcd of tuple or set, relation between contrapositive, converse and inverse of a stmt.
We start Propositional logic (also called sentential logic ). Play with the Venn-diagram self test, noting that this page uses B' to mean the complement of B, which we generally write a B^{c}. [ASIDE: Please read our general terminology (pdf).]
We'll also look at the
Euclidean Algorithm
(i.e, the Lightning Bolt algorithm
).
The
LBolt frame (pdf)
has seven practice problems on page 1
[LBolt answers (txt) are available],
and six
make your own problem
on page 2.
Please grok completely how to easily solve a linear congruence (pdf).
We proved that Primes has arbitrarily long gaps. We proved Euclid's thm that there are infinitely many primes.
Having defined the arithmetic progression AP(s,G) := [s + GZ], we stated Dirichlet's thm for coprime APs. We noticed that Euclid's thm is the special case AP(0,1) of Dirichlet's. We proved Dirichlet's for AP(-1,4), and Prof. King gave an exercise to prove the same for AP(-1,3), and AP(-1,6).
We defined Modular arithmetic and proved that addition/subtraction and multiplication are preserved, mod N.
David Gale's Game of
chomp
in Wikipedia.
Doron Zeilberger's Three-rowed Chomp
.
John posted some solns to our prerequisite mini-exam SeLo-A (pdf).
Please take a gander at our Syllabus (txt) and Past courses with notes, exams and links.
Author: | Daniel J. Velleman | ISBN-13: | 978-0521675994 |
Year: | 2006 | Publisher: | Cambridge University Press |
Material from the Spring 2008 SeLo page:
The Math czars who helped out.
E-Probs | Computer | Phone-list | Chalk | Blackboard | Time |
---|---|---|---|---|---|
Karly & Josh | Michael | Kyle | Vincent | Ben | Ross |
Many folk finished Class-D (pdf) early, so as to go home and read about Completeness in Chapter 5. I invite you to post solutions to our archive.
Voila a practice exam for Class-D (pdf). It is quite similar to, but longer, the actual Class-D.
Author: | Keith Devlin | ISBN: | 978-1584884491 |
Year: | 2003 | Publisher: | Chapman & Hall/CRC |