10/8/2017 | Attached are the test from the lesson, the homework that was due on 10/08/17 and the problems from the contest held during the second part of the lesson. Homework for 10/15/17 are problems 1c and 4b from the contest, as well as problem 4 from the previous homework. [Show less] |

10/15/2017 | Problems on tilings and the relation of grid colorings to solving them. Handout and homework for 10/22/17 attached. [Show less] |

10/22/2017 | More tilings and colorings, factorization of polynomials. [Show less] |

10/29/2017 | Today we start a block on Number Theory. First topic: remainders. We have all seen them before, but how can we use them, and why do they even exist? Also: integral points on graphs of linear functions and an interesting system of equations. [Show less] |

11/5/2017 | Continuing the topic from last week, remainders and divisibility. [Show less] |

11/12/2017 | We introduce the concept of the greatest common divisor and prove some basic statements about it. [Show less] |

11/19/2017 | We formulate the Euclidean algorithm and use it to prove some important number-theoretic lemmas. [Show less] |

12/3/2017 | We further use the Euclidean algorithm to investigate some linear diophantine equations. [Show less] |

12/10/2017 | [Show less] |

1/14/2018 | Introduction to graph theory and geometry. [Show less] |

1/21/2018 | [Show less] |