Artofproblemsolving

I joined artofproblemsolving in May, and enjoy posting solutions and moderating the Alcumus forum.

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AoPS classes

Algebra 1

Over the summer of 2010, I took Algebra 1. I very much enjoyed this class. It included the quadratic formula ( $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ), solving equations like: $2x+y=50$ $x-y=25$ Which would give us $x=\frac{75}{3}=23$ and $y=-2$ . It also taught me graphing and slopes ( $\frac{y_2-y_1}{x_2-x_1})$

Introductory to Number Theory

Over the fall of 2010 I took Introductory to Number Theory and Introductory to Counting and Probability. In number theory, I learned base numbers, $\pmod{}$ , and a lot of interesting number theory formulas (Ex: $gcd(x,y)=p_1^{min_{e_1,e_2}}*p_2^{min_{e_3,e_4}}*p_n^{min_{e_{2n-1}, e_{2n}}$ (Error compiling LaTeX. Unknown error_msg).

Introductory to Counting and Probability

Over the fall of 2010 I took Introductory to Number Theory and Introductory to Counting and Probability. I learned Permutations, $\binom{N}{R}$ , Pascals triangle, Pascals Identity, and my username ( $(x+y)^n=\binom{n}{0}x^n+\binom{n}{1}x^{n-1}y+\binom{n}{2}x^{n-2}y^2\cdots \binom{n}{n-2}x^2y^{n-2}+\binom{n}{n-1}xy^{n-1}+\binom{n}{n}y^n)$

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