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 |
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 |