Algebra and Combinatorics Trail Mix
Instructor: Nicole Shen
In 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
Counting Strategies
Instructor: Michelle Kang
This 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
Cute Geometry
Instructor: Vivian Loh
This 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