Archive

Spring 2021
Fall 2020
Summer 2020
Spring 2020
Fall 2019
Spring 2019
Fall 2018
Spring 2018
Fall 2017
Spring 2017
Fall 2016
Spring 2016
Fall 2015
2014-15
Spring 2014
Fall 2013

Many solutions can be found at the following sites:

Spring 2021

Summer 2020

Cycle 3
JV	Varsity
Coordinate Geometry 1 & 2	Double Summation 1
	Double Summation 2
Modular Arithmetic 1	Mods and Polynomials 1
Modular Arithmetic 2	Mods and Polynomials 2
Competition 3

Cycle 2
JV	Varsity
Induction 1	Geometric Inequalities 1
Induction 2	Geometric Inequalities 2
Bases and Exponents 1	Markov Chains 1
Bases and Exponents 2	Markov Chains 2

Cycle 1
JV	Varsity
Sequences and Series 1	Miscellaneous Combinatorics 1
Sequences and Series 2	Miscellaneous Combinatorics 2
Pigeonhole Principle 1	Graph Theory 1
Pigeonhole Principle 2	Graph Theory 2

Introduction to Online
JV	Varsity
Online 1	Online 1
Online 2	Online 2

Spring 2020

Combinatorics
JV	Varsity
Pascal's Triangle	Advanced Counting
Counting	Expected Value
Counting with Cases	Generating Functions 1
Induction	Generating Functions 2

Geometry
JV	Varsity
Angles	Similarity
Congruent Triangles	Collinearity
Circles	Cyclic Quadrilaterals
Similar Triangles
Mirroring	Cevians

Fall 2019

Algebra
JV	Varsity	Advanced
Equations	Equations
Polynomials	Polynomials
Complex Numbers	Roots of Unity
Logarithms	Inequalities	Functional Equations
Review	Review

Number Theory
JV	Varsity	Advanced
Primes and Divisors	Modular Inverses
Euclidean Algorithm	Fermat's Little Theorem
Modular Arithmetic	Systems of Modular Equations
Fermat's Little Theorem	Diophantine Equations	Quadratic Reciprocity

Spring 2019

Number Theory
Primes, Divisors and Modular Arithmetic
Modular Arithmetic, Euclidean Algorithm and Modular Inverses
Euclidean Algorithm, Fermat's Theorem and Euler's Theorem
Review
Modular Inverses, Chinese Remainder Theorem
Fermat's Little Theorem, Diophantines

Geometry
Angle Chsing and Similarity
Congruence
Circles
Review
Proportionality and Angle Chasing
Constructions
Additions to Figures

Fall 2018

Algebra
Polynomials
Sequences and Series
Review 1
Trig/Logs
Review 2

Combinatorics
Counting Techniques
Probability
Pigeonhole Principle
Review 1
Invariants
Review 2

Spring 2018

Probability
Probability without Counting
Expected Value and Conditional Probability

Number Theory
104 Problems Part 1
104 Problems Part 2
104 Problems Part 3
Number Theory 4

Algebra
Algebraic Manipulations

Proofs
Things that Look True
Techniques
Induction
Special Topic

Fall 2017

Algebra
Polynomials
Systems of Equations
Complex Numbers
Sequences and Series

Geometry
Angle Chasing
Length Chasing
Area Chasing

Discrete Math
Lattice Paths
Inclusion/Exclusion
Set Theory
Pigeonhole Intro	Pigeonhole Exercises
Coloring

Spring 2017

Writing Proofs
Logic and Definitions I	Solutions
Logic and Definitions II
The Pigeonhole Principle	Solutions
The Extremal Principle	Solutions

Combinatorics
Counting Techniques
Probability
Expected Value and Recursion
Markov Chains
Graph Theory

Ideas from Calculus
Asymptotic Calculus
Optimization Problems

Fall 2016

Number Theory
Modular Arithmetic	Solutions
Euler's Totient Function
Integer Linear Equations
Sums of Squares

Geometry
Similar Triangles
Circles
Trigonometry
Cyclic Quadrilaterals

Functions
Trigonometric Functions
Miscellaneous Functions

Sequences and Series
Summing Series	Solutions
Solving Recurrences

Spring 2016

Algebra
Solving Polynomials	Solutions
Not Solving Polnomials	Solutions
Complex Numbers	Solutions
Arithmetic and Geometric Series	Solutions

Writing Proofs
Invariants	Solutions
Induction	Solutions
Games	Solutions

Probability
Strategies	Solutions
Foundations	Solutions
Random Variables	Solutions

Fall 2015

Number Theory
Modular Arithmetic	Solutions
Divisibility	Solutions
Fermat's Little Theorem	Solutions
Diophantine Equations	Solutions

Geometry
The Area Method	Solutions
Circles
Triangles
Coordinate Geometry	Solutions

Combinatorics
Permuations and Binomials	Solutions
Counting Strategies	Solutions
Recursions	Solutions

2014-15

Algebra
Polnomial Bases
Solving Recurrences
Generating Functions I
Generating Functions II

Combinatorics
Markov Chains
The Twelvefold Way
Chess

Geometry
Coordinate Geometry
3D Geometry

Number Theory
Divisors and Factors
Lessons from AMC

Spring 2014

Algebra
Finite Sums
Solving Recurrences
Vieta's Formulas

Proofs
Writing Proofs I
Writing Proofs II

Generating Functions
Generating Functions I
Generating Functions II

Fall 2013

Number Theory
Modular Arithmetic
Divisors
Everything Else

Combinatorics
Inclusion-Exclusion and Binomials
Induction, Pigeonhole, Brute Force
Graph Theory
Optimization

Geometry
Incidence Geometry
Circles
Triangles