10/7/2018 | We warm up for the new academic year by solving problems from some recent mathematical competitions. [Show less] |

10/14/2018 | We start our exploration of quadratic equations with Vieta's Theorem. As usual, we also do some geometry. [Show less] |

10/21/2018 | We solve some problems on the properties of general functions, and learn to apply Vieta's theorem from last week. As usual, some geometry. [Show less] |

10/28/2018 | We continue exploring quadratic equations by completing the square and learning the formula for the roots. We also start working towards quadratic inequalities, in particular seeing when a quadratic function is positive or negative. [Show less] |

11/4/2018 | We take a step back from learning fundamental facts about quadratic equations, and practive what we have already learnt on some problems. Geometry also makes an appearance. [Show less] |

11/11/2018 | We introduce parabolas -- graphs of a quadratic equations, and solve some problems regarding them. [Show less] |

11/18/2018 | We use the theoretical properties of quadratic equations established during the last few weeks to solve some concrete problems. Also: more geometry. [Show less] |

12/2/2018 | We see what we have learned about geometry and quadratic equations with an individual problem-solving session. [Show less] |

12/9/2018 | [Show less] |

1/13/2019 | We start a few new topics for the quarter -- weighings, logic and ruler & compass constructions. [Show less] |

1/20/2019 | We continue with the topics of weighings, logic and straightedge & compass constructions. [Show less] |

1/27/2019 | More straightedge and compass constructions, along with harder weighings and logic problems. [Show less] |

2/3/2019 | We focus more on using invariants in combinatorial problems about processes, and also continue with straightedge & compass constructions. [Show less] |

2/10/2019 | We continus with our topics of invariants and straightedge & compass constructions. [Show less] |

2/24/2019 | We continue with invariants, semi-invariants and geometric constructions. [Show less] |

3/3/2019 | We continue our route to triangle siilarity by learning the intercept theorem. [Show less] |

3/10/2019 | Our multi-week journey towards similar triangles culminates with the proof of the two main theorems about them. [Show less] |

4/7/2019 | We start a new topic of combinations and Pascal's triangle. Also a problem on triangle similarity. [Show less] |

4/14/2019 | We continue studying combinations, introducing the binomial formula and Pascal's triangle. [Show less] |

4/21/2019 | We continue with the problems from last week on pascal's triangle and combinations. [Show less] |

4/28/2019 | This week we introduce the binomial formula, and the "stars & bars" counting strategy. [Show less] |

5/5/2019 | We continue with the more advanced verison of "starts & bars", plus various combinatorics problems. [Show less] |

5/12/2019 | We introduce a new method to encode partitions of positive integers -- Young tableaux, and use them to prove some beautiful bijections on partitions. [Show less] |

5/19/2019 | We continue exploring Young tableaux and the partition function. [Show less] |