Contents 1 Lectures by Topic 1.1 Geometry 1.1.1 Trigonometry 1.1.2 Triangle Geometry 1.1.3 Circle Geometry 1.1.4 Proofs 1.1.5 Other Geometry 1.2 Algebra 1.2.1 Inequalities 1.2.2 Polynomials 1.2.3 Sequences 1.2.4 Recursion 1.2.5 Logarithms and Exponents 1.2.6 Other Algebra 1.3 Number Theory 1.3.1 Other 1.4 Combinatorics 1.5 Miscellaneous 1.5.1 Complex Numbers 1.5.2 Functional Equations 1.5.3 Other 2 Lectures by Category 2.1 TJUSAMO Lectures 2.1.1 2009-2010 2.1.2 2008-2009 2.1.3 2007-2008 2.1.4 2006-2007 2.1.5 2005-2006 2.1.6 2004-2005 2.1.7 2003-2004 2.2 8th Period Lectures 2.2.1 2008-2009 2.2.2 2007-2008 2.2.3 2006-2007 2.3 ARML Lectures 2.3.1 2007-2008 2.3.1.1 Beginner Lectures 2.3.1.2 Advanced Lectures 2.3.1.3 Guest Lectures 2.3.2 2006-2007 2.3.3 2005-2006 2.3.3.1 Beginner Lectures 2.3.3.2 Advanced Lectures 2.3.3.3 Other

Lectures by Topic

Geometry

Trigonometry

• 2008 ARML Beginner Trigonometry
• 2008 ARML Advanced Trigonometry
• ARML 2007 Trigonometry
• ARML 2006 Beginner Trigonometry
• ARML 2006 Advanced Trigonometry

Triangle Geometry

• ARML 2007 Triangle Geometry
• TJUSAMO 2005 Triangle Geometry
• Triangle Geo by Thomas Mildorf

Circle Geometry

• ARML 2007 Circle Geometry
• ARML 2006 Beginner Circle Geometry
• ARML 2006 Advanced Circle Geometry
• 2008 8th Pd. Circle Geometry
• Circle Geo by Thomas Mildorf

Proofs

• TJUSAMO 2008 Geometry
• TJUSAMO 2007 Geometry 1
• TJUSAMO 2007 Geometry 2
• TJUSAMO 2007 Geometry 3
• TJUSAMO 2006 Geometry
• TJUSAMO 2006 Cyclic Quadrilaterals
• TJUSAMO 2005 Geometric Transformations

Other Geometry

• 2009 Advanced Mass Points
• ARML 2007 Mass Points
• "Tour de Force in Geometry" by Thomas Mildorf
• 2008 ARML Advanced Coordinate Bashing
• 2008 ARML Beginner Geometry
• 2008 ARML Advanced Geometry
• ARML 2006 Advanced Geometry
• 2008 8th Pd. Formulaic Geometry
• Esoteric Geo by Thomas Mildorf
• Vectors by Thomas Mildorf
• 2008 ARML Geometry by Akshar Wunnava

Algebra

Inequalities

• 45-Page Inequalities Lecture by Thomas Mildorf
• 2007 8th Pd. Inequalities
• Inequalities by Thomas Mildorf
• TJUSAMO 2008 Inequalities
• Inequalities 1
• Inequalities 2
• TJUSAMO 2006 Inequalities
• TJUSAMO 2005 Inequalities 1
• TJUSAMO 2005 Inequalities 2
• 2008 ARML Geometry by Chris Olund

Polynomials

• 2008 8th Pd. Polynomials
• ARML 2007 Polynomials
• ARML 2006 Beginner Polynomials
• ARML 2006 Advanced Polynomials
• Polynomials by Thomas Mildorf
• 2008 ARML Polynomials by Greyson Lewis

Sequences

• 2008 ARML Advanced Sequences
• ARML 2007 Sequences
• ARML 2006 Beginner Sequences
• Sequences by Thomas Mildorf

Recursion

• 2009 Solving Recurrences
• 2008 ARML Recursion and Generating Functions by Arvind Thiagarajan
• Root Equations and Recursion by Thomas Mildorf

Logarithms and Exponents

• ARML 2007 Logarithms and Exponents
• Exponents and Logarithms by Thomas Mildorf

Other Algebra

• 2008 ARML Beginner Algebra
• 2008 ARML Advanced Algebra
• 2008 8th Pd. Algebraic Graph Theory
• 2008 8th Pd. Introduction to Algebra
• TJUSAMO 2009 Algebra

Number Theory

• 2008 ARML Beginner Number Theory
• Number Theory by Thomas Mildorf
• 2008 8th Pd. Novice Number Theory
• 2008 8th Pd. Advanced Number Theory
• 2007 8th Pd. Number Theory
• 2007 8th Pd. Advanced Number Theory
• ARML 2006 Beginner Number Theory
• ARML 2006 Beginner Number Theory 2
• ARML 2006 Advanced Number Theory
• TJUSAMO 2009 Number Theory
• TJUSAMO 2008 Number Theory
• TJUSAMO 2007 Number Theory
• TJUSAMO 2006 Number Theory
• TJUSAMO 2005 Number Theory 1
• TJUSAMO 2005 Number Theory 2
• TJUSAMO 2005 Number Theory 3
• TJUSAMO 2007 Advanced Number Theory

Other

• TJUSAMO 2006 Pigeonhole Principle
• TJUSAMO 2005 Pigeonhole Principle
• ARML 2006 Number Theory Top 10
• ARML 2006 Ross Number Theory

Combinatorics

• Algebraic Combinatorics by Jacob Steinhardt
• 2009 Beginner Counting
• 2009 Beginner Probability
• 2008 ARML Advanced Counting
• 2008 ARML Beginner Combinatorics
• 2008 ARML Advanced Combinatorics
• ARML 2007 Combinatorics
• 2007 8th Pd. Introduction to Combinatorics
• ARML 2006 Beginner Combinatorics
• ARML 2006 Advanced Combinatorics
• ARML 2006 Advanced Combinatorics 2
• Combinatorics
• TJUSAMO 2007 Generating Functions and Algebraic Combinatorics
• TJUSAMO 2006 Generating Functions

Miscellaneous

Complex Numbers

• ARML 2007 Complex Numbers
• 2007 8th Pd. Complex Numbers
• 2009 8th Pd Complex Numbers

Functional Equations

• TJUSAMO 2007 Functional Equations
• TJUSAMO 2006 Functional Equations
• TJUSAMO 2005 Functional Equations
• TJUSAMO 2004 Functional Equations

Other

• TJUSAMO 2007 Logic
• TJUSAMO 2006 Proofs
• TJUSAMO 2006 Induction
• TJUSAMO 2005 Induction
• 2008 ARML Bases by Casey Mihaloew
• 2008 ARML Arithmetic by Brian Hamrick

Lectures by Category

TJUSAMO Lectures

Main article: TJUSAMO

2009-2010

• Introduction
• Induction
• Invariants and Monovariants
• Coloring and Assigning Weights
• Number Theory
• Geometry
• Team Contest

2008-2009

• Introduction
• Algebra
• Number Theory
• Functional Equations
• Combinatorics
• Geometry
• Inequalities
• Generating Functions
• Problem Session 1
• Group Theory
• Ring Theory
• Field Theory

2007-2008

• Introduction
• Geometry
• Number Theory
• Inequalities

2006-2007

• Introduction
• Geometry 1
• Geometry 2
• Geometry 3
• Number Theory
• Advanced Number Theory
• Combinatorics
• Inequalities 1
• Inequalities 2
• Functional Equations
• Generating Functions
• Logic

2005-2006

• Proofs
• Inequalities
• Induction
• Cyclic Quadrilaterals
• Pigeonhole
• Number Theory
• Generating Functions
• Functional Equations
• Geometry

2004-2005

• Inequalities 1
• Pigeonhole
• Inequalities 2
• Number Theory 1
• Induction
• Geometric Transformations
• Triangle Geometry
• Number Theory 2
• Number Theory 3
• Functional Equations

2003-2004

• Functional Equations

8th Period Lectures

2008-2009

• Solving Recurrences
• Beginner Counting
• Beginner Probability
• Mass Points
• Beginner Mass Points
• Polynomials
• Beginner Polynomials
• Burnside's Lemma
• Complex Numbers
• Modular Arithmetic
• Generating Functions

2007-2008

• Algebraic Graph Theory
• Introduction to Algebra
• Polynomials
• Formulaic Geometry
• Circle Geometry
• Novice Number Theory
• Advanced Number Theory

2006-2007

• Inequalities
• Advanced Number Theory | Solutions
• Number Theory
• Introduction to Combinatorics
• Complex Numbers

ARML Lectures

Main article: ARML

2007-2008

Beginner Lectures

• Algebra
• Geometry
• Combinatorics
• Number Theory
• Trigonometry

Advanced Lectures

• Algebra
• Geometry
• Combinatorics
• Trigonometry
• Counting and Symmetry Conditions
• Coordinate Bashing
• Sequences and Series

Guest Lectures

• Geometry by Akshar Wunnava
• Recursion and Generating Functions by Arvind Thiagarajan
• Bases by Casey Mihaloew
• Inequalities by Chris Olund
• Polynomials by Greyson Lewis
• Arithmetic by Brian Hamrick

2006-2007

• Triangle Geometry
• Circle Geometry
• Polynomials
• Sequences
• Combinatorics and Probability
• Logarithms and Exponents
• Mass Points
• Trigonometry
• Complex Numbers
• An Insight by Peter Diao

2005-2006

Beginner Lectures

• Trigonometry
• Circle Geometry
• Combinatorics
• Number Theory
• Sequences
• Polynomials
• Number Theory 2

Advanced Lectures

• Trigonometry
• Circle Geometry
• Combinatorics
• Number Theory
• Polynomials
• Combinatorics 2
• Geometry

Other

• Number Theory Top 10
• Ross Number Theory