Lecture 1: Rational and Irrational Numbers, Divisibility and The Division Algorithm [m4v]

Lecture 2: The Division Algorithm and the Fundamental Theorem of Arithmetic [m4v]

Lecture 3: The Euclidean Algorithm and Simple Continued Fractions [m4v]

Lecture 4: More on the Euclidean Algorithm and Simple Continued Fractions [m4v]

Lecture 5: Basics on Modulo Arithmetic [m4v]

Lecture 6: More Basics on Modulo Arithmetic [m4v]

Lecture 7: Homework on Modulo Arithmetic and Introducing Fermat's Little Theorem [m4v]

Lecture 8: Fermat's Little Theorem, Pseudoprimss, aand Absolute Pseudoprimes [m4v]

Lecture 9: Euler's Phi-Function and Euler's Theorem [m4v]

Lecture 10: Wilson's Theorem and Review Problems [m4v]

Lecture 11: More Review Problems and The Chinese Remainder Theorem [m4v]

Lecture 12: More Review Problems and More Chinese Remainder Theorem [m4v]

Lecture 13: More Review Problems and Some Chinese Remainder Theorem Problems [m4v]

Lecture 14: Review for Test 1 [m4v]

Lecture 15: Counting Primes and More Chinese Remainder Theorem [m4v]

Lecture 16: Euler's Phi Function Revisited [m4v]

Lecture 17: Polynomial Basics [m4v]

Lecture 18: Elementary Symmetric Functions [m4v]

Lecture 19: Polynomials Modulo Integers [m4v]

Lecture 20: Lagrange's Theorem on Solutions to Polynomial Congruences [m4v]

Lecture 21: Orders and Primitive Roots Modulo a Prime [m4v]

Lecture 22: Problems Galore [m4v]

Lecture 23: Review for Test 2 [m4v]

Lecture 24: Pulbic-Key Encryption and Quadratic Reciprocity (but not together) [m4v]

Lecture 25: Final Exam Review [m4v]

Lecture 26: Millionaire Game/Quiz [m4v]