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PLAN FOR MATH 124, FALL 20011
  DATE NOTE READING SUBJECT
W Sept 12   D7-8, Kix-4 OVERVIEW 1: What is This Course About?
F Sept 14   D16-31 PRIMES 1: Prime Factorization
M Sept 17   D179-181, P1-13 COMPUTING 1: Introduction to Computing and PARI
W Sept 19 hwk D35-38 PRIMES 2: The Sequence of Prime Numbers
F Sept 21   D41-48 CONGRUENCES 1: Fermat's Theorem
M Sept 24   D48-51 CONGRUENCES 2: Chinese RT, Wilson's Theorem, Prime Modulus
W Sept 26 hwk D51-56 CONGRUENCES 3: Equations Modulo $N$
F Sept 28   D206-209 CRYPTOGRAPHY 1: Intro to Public-key Crypto. (Diffie-Helman)
M Oct 1   D210-211 CRYPTOGRAPHY 2: The RSA Cryptosystem
W Oct 3 hwk www.rsa.com CRYPTOGRAPHY 3: RSA in Practice
F Oct 5   D59-62 QUADRATIC RECIPROCITY 1: Primitive Roots
M Oct 8 holiday    
W Oct 10 hwk D63-70 QUADRATIC RECIPROCITY 2: The Reciprocity Law
F Oct 12   D70-74 QUADRATIC RECIPROCITY 3: The Proof
M Oct 15   OVERVIEW 2: Midterm Review
W Oct 17 hwk   Midterm
F Oct 19   G145-152 COMPUTING 2: Programming in PARI
M Oct 22   D78-89 CONTINUED FRACTIONS 1: Introduction, Basic Facts
W Oct 24 hwk D89-93 CONTINUED FRACTIONS 2: Infinite Continued Fractions
F Oct 26   D94-104 CONTINUED FRACTIONS 3: Quadratic Irrationals
M Oct 29   D104-111 CONTINUED FRACTIONS 4: Pell's Equation
W Oct 31 hwk D115-120 QUADRATIC FORMS 1: Sums of Two Squares
F Nov 2   D129-133 QUADRATIC FORMS 2: Equivalence of Quadratic Forms
M Nov 5   D133-138 QUADRATIC FORMS 3: Discriminants
W Nov 7 hwk D140-145 QUADRATIC FORMS 4: Reduced Positive Definite Forms
F Nov 9   D159-162 ELLIPTIC CURVES 1: Trivial Notions 1
M Nov 12 holiday    
W Nov 14 hwk K17-20 ELLIPTIC CURVES 2: Basic Notions 1
F Nov 16   D162-165, K25-32 ELLIPTIC CURVES 3: Basic Notions 2
M Nov 19   P21-24, G76-82 COMPUTING 3: Computing with Elliptic Curves using PARI
W Nov 21 hwk D165-168 ELLIPTIC CURVES 4: Elliptic Curves over Finite Fields
F Nov 23 holiday    
M Nov 26   ELLIPTIC CURVES 5: Elliptic Curve Factorization 1
W Nov 28 hwk ELLIPTIC CURVES 6: Elliptic Curve Factorization 2
F Nov 30   D168-170 ELLIPTIC CURVES 7: Fermat's Last Theorem
M Dec 3   K20-24 ELLIPTIC CURVES 8: The Congruent Number Problem
W Dec 5 hwk W1-2 ELLIPTIC CURVES 9: The Birch and Swinnerton-Dyer conjecture 1
F Dec 7   W3-5 ELLIPTIC CURVES 10: The Birch and Swinnerton-Dyer conjecture 2
M Dec 10   COMPUTING 4: Empirical Evidence for the BSD Conjecture
W Dec 12   OVERVIEW 3: Final Review
D: Davenport, K: Kato et al., P: PARI tutorial, G: PARI guide, W: Wiles




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William A Stein 2001-11-07