SUPPLEMENTAL MATERIAL ON LECTURES
HANDOUTS: click
here for class notes
- REVIEW MATERIAL: Numerous worked
out calculus problems (differentiation, integration, statement of topics you
should know)
-
Notes on Induction, Calculus,
Convergence, the Pigeon Hole Principle and Lengths of Sets (from the first
appendix to
An Invitation to
Modern Number Theory, by myself and Ramin Takloo-Bighash, Princeton
University Press 2006). We will not need all the material there for this course,
but it is easier to just post the entire chapter.
-
Handout on Types of Proofs (from a
handout I wrote for math review sessions at Princeton, 1996-1997; this was
written for students from calculus to linear algebra).
-
Intermediate and Mean
Value Theorems and Taylor Series (you should know this material already; the
main results are stated and mostly proved, subject to some technical results
from analysis which we need to rigorously prove the IVT).
- Sequences and series:
-
Free textbooks:
- Isaac Asimov: The
Relativity of Wrong
INTERESTING VIDEOS (these are not required
readings, but are posted for your enjoyment)
FUN MATH
(these are not required readings, but are
posted for your enjoyment)