Syllabus / Structure - Math

Introduction

This is a tentative list of what we will try to go over this year. We will also have problem-based meetings where we go through a wide-range of problems and reason our way through them.

List of Topics

• Exponents and Logarithms

• Complex Numbers

• Vieta's Formulas

• Power of a Point

• Numbers and Bases

• Pascal’s Triangle

• Modular Arithmetic

• Cyclic Quadrilaterals and Angle Chasing

• Principle of Inclusion and Exclusion

• Fibonacci Numbers

• Recursion

• Analytic Geometry

• Constructive Counting and 1-1 Correspondence

• Special Sequences and Series

• Mathematical Induction

• Pigeonhole Principle

• Inequalities