Adventurous and Amusing Algebra
Instructor: Selena Ge
In this course, we will be exploring different algebraic ideas often seen on olympiads, such as FEs, symmetric polynomials, summations, inequalities, and conics.
Difficulty: Late AIME to Mid-Olympiad
LESSON 1: Polynomials
LESSON 2: Sequences
LESSON 3: Inequalities
LESSON 4: Functional Equations
LESSON 5: Conics
LESSON 6: Miscellaneous Problems
AIME Algebra
Instructor: Maiya Qiu
This course will cover common techniques used for AIME level algebra problems and feature topics including algebraic manipulation, root finding, roots of unity, and symmetric polynomials.
Difficulty: AMC to Mid AIME
LESSON 1: Factoring
LESSON 2: Manipulations I
LESSON 3: Manipulations II
LESSON 4: Root Finding
LESSON 5: Roots of Unity I
LESSON 6: Roots of Unity II
AIME NT
Instructor: Sylvia Chen
Coming soon!
Difficulty: AMC to Mid AIME
LESSON 1: Coming soon!
Combo Essentials
Instructor: Erin Bian
Coming soon!
Difficulty: Mid AIME to Beginner Olympiad
LESSON 1: Coming soon!
Combo Heuristics
Instructor: Greta Qu
This course will cover various thinking processes and strategies used to solve olympiad problems (with some computational applications as well!). Rather than focusing on techniques, the topics emphasize intuitive reasoning and gaining a deep understanding of the subject. This class is suitable for anyone with a solid combinatorial background looking to try some cool problems!
Difficulty: Late AIME to Mid-Olympiad
LESSON 1: Underlying Structure
LESSON 2: Processes
LESSON 3: Constructions
LESSON 4: Intro to Graph Theory
LESSON 5: Forcing Moves
LESSON 6: Some Fun Challenges!
ComboneNT
Instructor: Wendy Leong
ComboneNT is a course focusing on Combo-flavoured Number Theory – that is, how characteristics of the integers, such as divisibility, can translate into useful combinatorial properties. It presents insights and techniques from both the Combo and NT perspectives, exploring how such ideas have surfaced in recent years, and offering strategies for AMC, AIME, and introductory Olympiad problems.
Difficulty: AMC to Mid AIME
LESSON 1: Prime Number Properties, GCD and LCM, Divisibility
LESSON 2: Modular Arithmetic
LESSON 3: Counting Techniques
LESSON 4: Introduction to Olympiad I
LESSON 5: Introduction to Olympiad II
LESSON 6: Fun!
Cozy Combo
Instructor: Lanie Deng
This course will cover many combinatorics topics seen on the AMC and AIME, such as permutations, probability. Principle of Inclusion-Exclusion, and different bijections.
Difficulty: Mid-AMC to Mid-AIME
LESSON 1: Counting/Permutations
LESSON 2: Casework
LESSON 3: Probability Basics
LESSON 4: PIE + Pigeonhole Principle
LESSON 5: Bijections
LESSON 6: TBD, something fun!
Geometry Will Keep You Awake
Instructor: Haruka Kimura
This is a beginner- to mid-Olympiad course on synthetic geometry. We will cover fundamental techniques through lots of walkthroughs and hands-on practice. Knowledge of basic geometric properties is strongly recommended. With experience comes intuition, and with intuition, your geometry journey will become smoother and more enjoyable :P
Difficulty: Beginner Olympiad to Mid Olympiad
LESSON 1: Understanding Geometry
LESSON 2: Chasing Angles and Lengths
LESSON 3: Configurations
LESSON 4: Courage
LESSON 5: Practice!
LESSON 6: The Geometry Mindset
Joyful Geometry
Instructor: Aashita Mandiwal
This course will cover important geometry fundamentals including special properties and theorems about triangles and circles, important techniques in trigonometric, analytic, and 3D geometry, and concepts introducing synthetic geometry in proofs!
Difficulty: AMC to Late AIME
LESSON 1: All about Triangles
LESSON 2: All about Circles
LESSON 3: Trigonometry
LESSON 4: Analytic Geometry
LESSON 5: 3D Geometry
LESSON 6: Intro to Olympiad Geometry
Olympiad Number Theory
Instructor: Elena Beckman
Coming soon!
Difficulty: Late AIME to Mid-Olympiad
LESSON 1: Modular Arithmetic
LESSON 2: Fermat's Little Theorem
LESSON 3: Orders/Primitive Roots
LESSON 4: Fermat's Christmas Theorem
LESSON 5: Lifting the Exponent
LESSON 6: TBD, problems/groupsolving!