Math 124: Lectures

You can download all the notes as a single file or download individual notes below.

In progress book

  • Lecture 1:
  • What is Math 124? (Sept 12)
  • Lecture 2:
  • Prime Factorization (Sept 14)
  • Lecture 3:
  • Computing and PARI (Sept 17)
  • Lecture 4:
  • The Sequence of Prime Numbers (Sept 19)
  • Lecture 5:
  • Congruences, part I (Sept 21)
  • Lecture 6:
  • Congruences, part II (Sept 24)
  • Lecture 7:
  • Congruences, part III (Sept 26)
  • Lecture 8:
  • Crypto I: Diffie-Hellman Key Exchange (Sept 28)
  • Lecture 9:
  • RSA I (Oct 1)
  • Lecture 10:
  • RSA II (Oct 3)
  • Lecture 11:
  • Primitive Roots (Oct 5)
  • Lecture 12:
  • Quadratic Reciprocity I (Oct 10)
  • Lecture 13:
  • Quadratic Reciprocity II (Oct 12)
  • Lecture 14:
  • Midterm Review(Oct 15)
  • Lecture 15:
  • Midterm (Oct 17)
  • Lecture 16:
  • Programming in PARI II (Oct 19)
  • Lecture 17:
  • Continued Fractions I (Oct 22)
  • Lecture 18:
  • Continued Fractions II (Oct 24)
  • Lecture 19:
  • Continued Fractions III (Oct 26)
  • Lecture 20:
  • Continued Fractions IV (Oct 29)
  • Lecture 21:
  • Quadratic Forms I: Sums of Two Squares (Oct 31)
  • Lecture 22:
  • Quadratic Forms II: Basic Notions (Nov 2)
  • Lecture 23:
  • Quadratic Forms III: Representation and Reduction (Nov 5)
  • Lecture 24:
  • Quadratic Forms IV: Class Numbers (Nov 7)
  • Lecture 25:
  • Elliptic Curves I: Intro (Nov 9)
  • Lecture 26:
  • Elliptic Curves II: The Group (Nov 14)
  • Lecture 27:
  • Elliptic Curves III: Torsion! (Nov 16)
  • Lecture 28:
  • Elliptic Curves IV: Computing (Nov 19)
  • Lecture 29:
  • Elliptic Curve Cryptography (Nov 21)
  • Lecture 30:
  • Elliptic Curve Factorization, I (Nov 26)
  • Lecture 31:
  • Elliptic Curve Factorization, II (Nov 28)
  • Lecture 32:
  • Fermat's Last Theorem and Modularity of Elliptic Curves (Nov 30)
  • Lecture 33:
  • An Introduction to the Congruent Number Problem (Dec 3)
  • Lecture 34:
  • The Birch and Swinnerton-Dyer Conjecture, Part 1 (Dec 5)
  • Lecture 35:
  • The Birch and Swinnerton-Dyer Conjecture, Part 2 (Dec 5)
  • Lecture 36:
  • The Birch and Swinnerton-Dyer Conjecture, Part 3: Evidence (Dec 10)
  • Lecture 37:
  • Final Review (Dec 12)