Lecture 1: Rational and Irrational Numbers, Divisibility and The Division Algorithm
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Lecture 2: The Division Algorithm and the Fundamental Theorem of Arithmetic
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Lecture 3: The Euclidean Algorithm and Simple Continued Fractions
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Lecture 4: More on the Euclidean Algorithm and Simple Continued Fractions
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Lecture 5: Basics on Modulo Arithmetic
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Lecture 6: More Basics on Modulo Arithmetic
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Lecture 7: Homework on Modulo Arithmetic and Introducing Fermat's Little Theorem
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Lecture 8: Fermat's Little Theorem, Pseudoprimss, aand Absolute Pseudoprimes
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Lecture 9: Euler's Phi-Function and Euler's Theorem
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Lecture 10: Wilson's Theorem and Review Problems
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Lecture 11: More Review Problems and The Chinese Remainder Theorem
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Lecture 12: More Review Problems and More Chinese Remainder Theorem
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Lecture 13: More Review Problems and Some Chinese Remainder Theorem Problems
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Lecture 14: Review for Test 1
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Lecture 15: Counting Primes and More Chinese Remainder Theorem
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Lecture 16: Euler's Phi Function Revisited
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Lecture 17: Polynomial Basics
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Lecture 18: Elementary Symmetric Functions
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Lecture 19: Polynomials Modulo Integers
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Lecture 20: Lagrange's Theorem on Solutions to Polynomial Congruences
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Lecture 21: Orders and Primitive Roots Modulo a Prime
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Lecture 22: Problems Galore
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Lecture 23: Review for Test 2
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Lecture 24: Pulbic-Key Encryption and Quadratic Reciprocity (but not together)
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Lecture 25: Final Exam Review
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Lecture 26: Millionaire Game/Quiz
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