Fall Session 2023
To be held September 23rd—December 16th, 2023

Classes are roughly listed in order of difficulty from easiest to hardest.

Instructor: Emily Yu

This course will cover many of the fundamental Algebra techniques you will need to know for the AMC 12 and the AIME, such as Exponents and Logarithms, Piecewise Functions, Rates, Trigonometry and Complex Numbers, Polynomials and Symmetric equations, and Inequalities. Taking this course will help solidify your understanding of these topics and feel comfortable applying them.

Difficulty: AMC to AIME

Schedule

LESSON 1: Rates

LESSON 2: Exponents and Logarithms

LESSON 3: Polynomials and Symmetric Expressions

LESSON 4: Trigonometry and Complex Numbers

LESSON 5: Piecewise Functions

LESSON 6: Inequalities

### Combinections

Instructor: Kristine Lu

In this course, we cover all the fundamental concepts and techniques used in combinatorics at the AMC/AIME level, including recursion, probability states, expected value, generating functions, and much more. This course aims to help you develop your intuition and build your toolkit so you can tackle any combo problem you face!

Difficulty: AMC to AIME

Schedule

LESSON 1: Constructive Counting

LESSON 2: One to One Correspondences

LESSON 3: Induction and Recursion

LESSON 4: Combinatorial Arguments

LESSON 5: Interesting Cases

LESSON 6: General Tips + Test

### j'AIME the AMC: Algebra Meets Combinatorics

Instructor: Emily Ma

In this course, you will learn important concepts in AMC to early-AIME level algebra and combinatorics. Through seeing examples and doing problem sets, you’ll be able to apply concepts such as complementary counting, recurrences, and complex numbers. This course will help you recognize when certain strategies in algebra and combinatorics may be helpful on problems and how to solve them.

Difficulty: AMC to AIME

Schedule

LESSON 1: Counting Techniques

LESSON 2: Probability

LESSON 3: Recurrences and Bijections

LESSON 4: Equations and Polynomials

LESSON 5: Complex Numbers

LESSON 6: Sequences and Logarithms

### Comical Combo

Instructor: Emily Liu

This course will cover the combinatorial techniques and general strategies used in AIME-level problems. Topics include how to deal with restrictions, casework, bijections, recursion, and Principle of Inclusion-Exclusion.

Difficulty: AIME

Schedule

LESSON 1: Basics

LESSON 2: Restrictions

LESSON 3: Casework

LESSON 4: Perspectives

LESSON 5: Frogs and Recursion

LESSON 6: Principle of Inclusion and Exclusion

### Get to know Number Theory

Instructor: Thanaree (Pimmy) Maneepairoj

In this course, you will learn about an introduction in number theory and some of stuffs that very useful for problems. We also cover many of important concepts and some of strategies.

Difficulty: AIME

Schedule

LESSON 1: Basic stuff for the beginners

LESSON 2: Prime numbers

LESSON 3: Useful things for solving NT problems

LESSON 4: Famous theorems

LESSON 5: Order and Primitive roots

LESSON 6: Review

### AIME Geo

Instructor: Hannah Fox

This course will cover the fundamentals of AIME-level geometry problems. We will cover some useful theorems and problem-solving strategies. We will also cover some basic olympiad geometry.

Schedule

LESSON 1: Similarity

LESSON 2: Circles

LESSON 3: Trigonometry

LESSON 4: Length Chasing

LESSON 5: Triangle Centers

LESSON 6: Construction

### Art of Trigonometry (ft. Problem Solving)

Instructor: Ashley Zhu

Art of Trigonometry (ft. Problem Solving) is a mid AIME to beginning olympiad level class focused on how to use trigonometry as a tool to simply solve high difficulty problems. The class will cover applications of trigonometry in both algebra and geometry.

Schedule

LESSON 1: Trig Definitions and Basics

LESSON 2: Trig Formulas (Law of Sine, Law of Cosine, Ratio Lemma, Trig Ceva's, etc.)

LESSON 3: Simplifying Geo Diagrams with Trig

LESSON 4: Trigonometric Equations

LESSON 5: Applications in the Complex Plane

LESSON 6: Is Using Trig Always A Good Idea?

Instructor: Vivian Loh

In this course, we cover many of the fundamental concepts in late-AIME and Olympiad number theory, such as divisibility, size bounding, modular arithmetic, polynomials, and orders. By taking this course, you'll gain a solid foundation on number theory at a high level.

Schedule

LESSON 1: Divisibility

LESSON 2: Modular Arithmetic

LESSON 3: Exponents and Orders

LESSON 4: Polynomials

LESSON 5: Miscellaneous

LESSON 6: Review and Test

### AIME Combo

Instructor: Matilde Iannaccone

In this course we cover some of the fundamental concepts of olympiad combinatorics, such as permutations, probability, catalan numbers, and dismutations as well as different principles like pigeonhole and inclusion-exclusion. By taking this course you will learn how to approach and set up computational olympiad problems.

Schedule

LESSON 1: Everything with Anagrams

LESSON 2: Sets and the Principle of Inclusion-Exclusion

LESSON 3: Probability Fundamentals

LESSON 4: Derangements and Catalan Numbers

LESSON 5: Pigeonhole Principle

LESSON 6: Setting Up Problems

Instructor: Amy Cui

This course will cover many fundamental theorems and concepts in Olympiad geometry. Some topics we will discuss include the Euler Line, the Nine-Point Circle, the Incenter/Excenter Lemma, Power of a Point, Ceva’s Theorem, the Simson Line, and many other cool configurations!

Schedule

LESSON 1: Triangles I

LESSON 2: Triangles II

LESSON 3: Circles

LESSON 4: Length and Area Ratios

LESSON 5: Cool Configurations

LESSON 6: Group Solve

### Quirky Geometry

Instructor: Ana Boiangiu

In this class, we will be exploring several heuristics and philosophies that are useful in tackling Olympiad Geometry of any level (with occasional computational exercises). The lectures are designed not to be theory-heavy (so you will not be learning scary lemmas and theorems): instead, the goal is to discover ideas through problem-solving. A solid grasp of chapters 1-3 of EGMO is recommended to attend this course.

Schedule

LESSON 1: Midpoints and Parallelograms

LESSON 2: Construct

LESSON 3: Triangle Centers

LESSON 4: Power of a Point

LESSON 5: Eraser

LESSON 6: Quick!