One of the Olympiads instructors, Nikita Gladkov, has recently disproved an important combinatorial hypothesis, known as the bunkbed conjecture. He has made a handout where his work is broken into problems, giving students a chance to rediscover the result.
A generating function is a clothesline on which we hang up a sequence of numbers for display. We will learn to do combinatorics with the help of algebra.
We will have a special event, named My Favorite Math Competition Problem, to honor Tiger (Qiao) Zhang winning gold medal at the International Math Olympiad in 2024. Four speakers will each present their favorite math competition problem, including a solution and necessary mathematical background.
We will learn to restore a polynomial by its values. The class will take place in zoom: https://ucla.zoom.us/j/99674950379?pwd=lbyNmXuH8rK9ZhEBIbqwAABmAUk5Tz.1
