Computational GeometryInstructor: Serena An
This course will cover early-to-mid AIME level geometry related to triangles, circles, and trigonometry. Topics include similar triangles, triangle centers, cyclic quadrilaterals, power of a point, trigonometric identities, and coordinate bashing.
This course will run on Saturdays from 3-4pm Eastern.
LESSON 1: Triangles I
LESSON 2: Triangles II
LESSON 3: Circles
LESSON 4: Trigonometry
LESSON 5: Miscellaneous
LESSON 6: Review and Test
Counting and Probability PrinciplesInstructor: Sanjana Das
In this course, we cover common methods in counting and their applications, on early to mid AIME-level problems. Topics will include constructive and complementary counting, PIE and constructing sets, bijections (such as Stars and Bars), recursion, and path-counting.
This course will run on Saturdays from 4-5pm Eastern.
LESSON 1: Counting Basics
LESSON 2: Sets
LESSON 3: Bijections
LESSON 4: Recursion
LESSON 5: Counting Paths
LESSON 6: Counting Test!
My Favorite ThingsInstructor: 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.
This course will run on Sundays from 4-5pm Eastern.
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
Spicy CountingInstructor: Pravalika Putalapattu
This course is designed to strengthen students’ counting and probability intuition skills at the early-/mid-AIME level. Students will learn a range of approaches, including constructive and complementary counting, simplification and recursion, invariants, bijections, and strategic bashing. Lectures will be heavily problem-based as AIME counting problems tend to rely on strategies and ideas rather than formulas.
This course will run on Sundays from 5-6pm Eastern.
LESSON 1: The Three C's
LESSON 2: Judicious Adding
LESSON 3: Level Up!
LESSON 4: Bijections
LESSON 5: Graph Theory
LESSON 6: Farewell