*Held September 24th, 2022—December 17th, 2022*

### NT Olympiad Fundamentals

Instructor: Cordelia HuIn 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.

LESSON 1: Divisibility

LESSON 2: Modular Arithmetic

LESSON 3: Exponents and Orders

LESSON 4: Polynomials

LESSON 5: Miscellaneous

LESSON 6: Review and Test

### Algebra and NT Fundamentals

Instructor: Laura ZhangThis course will provide an introduction to early-AIME algebra and number theory. Students will learn how to tackle problems using techniques like Vieta's formulas, roots of unity, modular arithmetic, logarithm properties, and more.

LESSON 1: Polynomials

LESSON 2: Divisibility and Bases

LESSON 3: Complex Numbers

LESSON 4: Modular Arithmetic

LESSON 5: Harder Equations and Inequalities

LESSON 6: Review and Test

### Spicy Geometry

Instructor: Serena XuIn this course, we are going to talk about the five unique hearts of triangles and some famous theorems. Topics will include the special property of five centers and some interesting theorems, such as Ceva, Ptolemy, Monge and so on. In particular, we will solve some kinda-wonderful problems in each class!

LESSON 1: Circumcenter and Incenter

LESSON 2: Centroid, Orthocenter and Excenter

LESSON 3: Menelaus and Ceva

LESSON 4: Ptolemy and Simson

LESSON 5: Power of a Point and Radical Axis

LESSON 6: Review and Group Solve

### Algebra and Combinatorics Trail Mix

Instructor: Nicole ShenIn this course, we will go over some common techniques used on mid AMC- to early AIME-level problems. Students will become familiar with methods and tricks that cover a variety of topics, especially in combinatorics and algebra. Topics include bijections, algebraic manipulation, using inequalities, sequences and series, and recursions.

LESSON 1: Counting Clever Correspondences

LESSON 2: Algebraic Manipulation

LESSON 3: Inequalities

LESSON 4: ∑equences and ∑eries

LESSON 5: Recursion and States

LESSON 6: Look to the Future

### Cute Geometry

Instructor: Vivian LohThis course covers all sorts of AIME-level topics related to triangles, plus a tiny peek into olympiad geo with cyclic quadrilaterals and cool orthocenter properties. Some topics included are area, Power of a Point, and trig bashing.

LESSON 1: Similarity and Congruence

LESSON 2: Lengths and Areas

LESSON 3: Triangle Centers

LESSON 4: Circle Magic

LESSON 5: Trig

LESSON 6: Geometry Test!

### My Favorite Things

Instructor: Isabella Quan
Vieta, trig functions and prime number theories ♪

Mass points, right triangles and coordinate bashing ♩

Manipulation and geometric series ♬

These are a few of my favorite things~

In this class, we’ll be talking about a variety of tricks that are prevalent on the AMCs and early to mid AIME which I find to be particularly elegant or beautiful.

LESSON 1: Odds and Ends of Geometry

LESSON 2: Best Minecraft Mods: Modular Arithmetic

LESSON 3: It's a Sin to Not Know Trig: Trigonometry

LESSON 4: I Used Algebra to Destroy the Algebra: Algebraic Manipulations

LESSON 5: Tree Roots and Polynomial Roots: Vieta's

LESSON 6: Stream Sequence by IZ*ONE: Sequences and Series

### Counting Strategies

Instructor: Michelle KangThis course is designed to help you enhance your combinatorics problem solving skills for early to mid AIME level problems. We will cover many different techniques, such as constructive and complementary counting, recursion, expected value, and bijections.

LESSON 1: Counting Principles

LESSON 2: Sets

LESSON 3: Bijections

LESSON 4: Recursion

LESSON 5: Other Topics

LESSON 6: Combo Test