Counting and Probability Principles
Instructor: Sanjana DasIn 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.
LESSON 1: Counting Basics
LESSON 2: Sets
LESSON 3: Bijections
LESSON 4: Recursion
LESSON 5: Counting Paths
LESSON 6: Counting Test!
Spicy Counting
Instructor: Pravalika PutalapattuThis 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.
LESSON 1: The Three C's
LESSON 2: Judicious Adding
LESSON 3: Level Up!
LESSON 4: Bijections
LESSON 5: Graph Theory
LESSON 6: Farewell
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 in AIME
Instructor: Kaylee JiIn this course, we will cover many algebra topics in mid-to-late AIME: trigonometry, complex numbers, polynomials, and conics. The focus of this course will be solving problems. Expect content to be covered quickly under the assumption that students are vaguely familiar with the concepts discussed.
LESSON 1: Trigonometric Identities
LESSON 2: Complex Numbers
LESSON 3: Polynomials I
LESSON 4: Polynomials II
LESSON 5: Conics
LESSON 6: Review and Test
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