 

Current
classes 
Number theory 
High school math 
College math 
Everything on this page is licensed under a Creative Commons AttributionShareAlike 3.0 Unported License.
More recent notes are available at
http://holdenlee.wordpress.com/mathnotes/.

Number Theory 

Here are various notes on
number theory I've written up on number theory. Update: Please use
this googledoc
to report typos and for general comments and
discussion on the text. I will check it
periodically.
Proof of prime number theorem for arithmetic
progressions:
analyticnt.pdf
Algebraic number theory, class field theory, and
complex multiplication:
ant.pdf
I've compiled all my number theory notes in the
following opensource textbook.
Textbook
(NEW:
source now on github.)
For recent updates, please see the googledoc.
Note much of this is
still pretty sketchy; I've extracted the more
complete parts into the two documents above.
Contributions and
corrections are welcome; please email me at
holdenlee@alum.mit.edu.

High school math 

 Gliya geometry curriculum:
 I wrote
lessons on introduction to geometry, angles,
congruent triangles, similar triangles,
constructions, and the angle bisector theorem.
 High school math club materials: Materials I used for ERHS math
club, 20072009.
 Shortanswer based
 Proofbased
 Contests
 AwesomeMath materials (all
source files)
 Algebra 3.5, 2010: I taught the second week at
Santa Cruz. Notes below.
 Team contest
 2010, Dallas,
round 2 (solutions)
 2010, Santa Cruz,
round 1 (solutions)
 2010, Santa Cruz,
round 2 (solutions)
 2010, Santa Cruz,
round 3 (solutions)
 2011, Santa Cruz,
round 2
 2011, Santa Cruz,
round 3
 I wrote several lectures for
Online Math Circle. (All
lectures)

College math 

Various notes and homeworks I have written up
for math subjects.
20122013 classes
Source (may not be updated)
Previous classes (Note: the earlier notes are pdfs
compiled from Word. I've given errata for them
since the original word documents are corrupted
and uneditable. Now I've learned better and use
LaTeX instead.)
 Algebra
 Analysis
 Geometry
 Combinatorics
 Number theory
 Additive
number theory
(18.784)
final paper
on finite field
Waring's problem
 Automorphic
forms (18.785)
psets

