Senior
What are Seniors? Older students approaching adult level maturity, usually year 10,11,12. Starting to accumulate significant knowledge which can be highly abstract. Able to solve problems using knowledge and experience as well as chasing definitions. Have achieved significantly in junior olympiads and are ready to progress to international Olympiads. Can concentrate for 5 hours and can maintain a certain level of focus indefinitely beyond that.
Competitions such as AMO (silver gold level), Apmo (solve 1 or 2 questions), TST, Imo, tournaments of towns senior A level, ASC gold.
Classes Sunday during school term
Monday to Friday during school holidays
Previous classes
-
Topology
Topological spaces and continuous functions. When looking at this was from a categorical point of view we see how much our foundation has been affected.
When I look back on this class that used to be taught at university and never understood by anybody, I just can’t believe how basic and backward we have let ourselves get. It feels out of date and yet it is out of reach of most students even in their futures.
-
International Mathematical Olympiad
Case study of the IMO with the goal of being able to do Q2,3,5,6.
-
Combinatorial Nullstellensatz
Alon’s 2001 paper.
-
Projective Geometry
-
Team Selection Test
-
APMO
Aim of doing q3,4,5
-
Galois theory
We embarked on a 100 hour 10 day intense holiday program to discover the wonders of Galois theory without formal pre requisites.
This is available in an online course format as
A short stroll through Galois theory on Learnworlds.
https://drmichaelsunmathschool.learnworlds.com/course/galois-theory
-
Mixtillinear and curvillinear circles
Lemmas in Olympiad Geo