|10/7/2018| [Show less]
We warm up for the new academic year by solving problems from some recent mathematical competitions.
|10/14/2018| [Show less]
We start our exploration of quadratic equations with Vieta's Theorem. As usual, we also do some geometry.
|10/21/2018| [Show less]
We solve some problems on the properties of general functions, and learn to apply Vieta's theorem from last week. As usual, some geometry.
|10/28/2018| [Show less]
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.
|11/4/2018| [Show less]
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.
|11/11/2018| [Show less]
We introduce parabolas -- graphs of a quadratic equations, and solve some problems regarding them.
|11/18/2018| [Show less]
We use the theoretical properties of quadratic equations established during the last few weeks to solve some concrete problems. Also: more geometry.
|12/2/2018| [Show less]
We see what we have learned about geometry and quadratic equations with an individual problem-solving session.
|12/9/2018|| [Show less] |
|1/13/2019| [Show less]
We start a few new topics for the quarter -- weighings, logic and ruler & compass constructions.
|1/20/2019| [Show less]
We continue with the topics of weighings, logic and straightedge & compass constructions.
|1/27/2019| [Show less]
More straightedge and compass constructions, along with harder weighings and logic problems.
|2/3/2019| [Show less]
We focus more on using invariants in combinatorial problems about processes, and also continue with straightedge & compass constructions.
|2/10/2019| [Show less]
We continus with our topics of invariants and straightedge & compass constructions.
|2/24/2019| [Show less]
We continue with invariants, semi-invariants and geometric constructions.
|3/3/2019| [Show less]
We continue our route to triangle siilarity by learning the intercept theorem.
|3/10/2019| [Show less]
Our multi-week journey towards similar triangles culminates with the proof of the two main theorems about them.
|4/7/2019| [Show less]
We start a new topic of combinations and Pascal's triangle. Also a problem on triangle similarity.
|4/14/2019| [Show less]
We continue studying combinations, introducing the binomial formula and Pascal's triangle.
|4/21/2019| [Show less]
We continue with the problems from last week on pascal's triangle and combinations.
|4/28/2019| [Show less]
This week we introduce the binomial formula, and the "stars & bars" counting strategy.
|5/5/2019| [Show less]
We continue with the more advanced verison of "starts & bars", plus various combinatorics problems.
|5/12/2019| [Show less]
We introduce a new method to encode partitions of positive integers -- Young tableaux, and use them to prove some beautiful bijections on partitions.
|5/19/2019| [Show less]
We continue exploring Young tableaux and the partition function.