First meeting of the year for intermediate 2A. We will be doing some fun problem solving!
We introduce permutations and the 15 puzzle problem!
This week we continue developing some more language and notation to be able to prove whether or not the 15 puzzle has a solution...
Continuing from last week but with even more detailed constructions and Euclidian proofs!
We introduce combinatorics, the mathematics of counting.
This week we continue and finish off our introduction to combinatorics.
There is no handout for this class (Instructors can access the private attachments).
We have an introduction to the complex numbers in this meeting.
Along our exploration of the complex numbers and our journey to trigonometry, we take a brief stop at some algebra.
This will be our first time dealing with some trignometry! This will give us the necessary information to talk about Euler's formula next week.
We finally arrive at Euler's Formula!
We investigate and explore some ideas in probability for this class!
We investigate the Chinese Remainder Theorem in this week's handout.
This week we are continuing our problems on the Chinese Remainder Theorem (CRT) along with a small introduction to ‘if and only if' proofs within the context of remainders and divisibility.
We study the GCD and the Euclidean algorithm
Today we have a math dominoes game for the last meeting of the quarter.
This Sunday we explore random variable and events beyond just geometric probabiltiy (as we've done before).
We continue some probability theory ideas and introduce the binomial distribution!
We introduce some important ideas of functions and proofs, the bread and butter of maths.
We learn to approximate areas of shapes and graphs; this is basically a small teaser to ideas of integration in calculus.