[20 hours]

The following shockwave (SWF) videos are designed to stream at 640x480, 3fps |

Link | Description | Length | |

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Lecture 0 | Introduction and Overview | [0:16:47] | |

Lecture 1 | Babylonian and Egyptian Mathematics | [0:41:41] | |

Lecture 2 | Greek Mathematics | [0:59:40] | |

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Lecture 3 | Axiomatic Systems - Geometry, Arithmetic, Set Theory | [0:49:27] | |

Lecture 4 | Axiomatic Systems - Goedel's Incompleteness Theorem | [0:49:13] | |

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Lecture 5 | Limits - Part I (I apologize for the poor audio quality!) | [0:41:27] | |

Lecture 6 | Limits - Part II | [0:52:13] | |

Lecture 7 | Limits - Part III | [1:06:47] | |

Lecture 8 | Functions - Part I | [0:54:01] | |

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Lecture 9 | Functions - Part II | [0:51:04] | |

Lecture 10 | Geometry - Part I | [0:50:43] | |

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Lecture 11 | Geometry - Part II | [0:48:09] | |

Lecture 12 | Geometry - Part III (beginning at 20:00 hw#4 is discussed) | [0:48:20] | |

Lecture 13 | Geometry - Part IV (Summary] | [0:38:32] | |

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Lecture 14 | Calculus of Variations - Part I | [1:03:16] | |

Lecture 15 | Calculus of Variations - Part II | [1:00:24] | |

Lecture 16 | Optimization | [1:04:05] | |

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Lecture 17 | Complex Arithmetic | [0:37:19] | |

Lecture 18 | Computer Graphics | [0:55:14] | |

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Lecture 19 | Historically Important Problems [Ideas for Final Projects] | [0:30:58] | |

Lecture 20 | More Historically Important Problems | [0:23:22] | |

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Lecture 21 | Recent results in distribution of primes. | [0:46:24] | |

Lecture 22 | Proof of Fermat's (Little) Theorem | [0:31:23] | |

Lecture 23 | Cryptography, Prime Factorizations and Public Key Encryption | [0:55:33] | |

Lecture 24 | Problems and Puzzles involving Primes | [0:32:46] |

Special Videos:

- Limit Example [0:08:19]

New Videos:

- Exercise 8.4 Prove associativity of natural numbers from Peano Axioms.