**2019 Contest Math Summer Camp Selection Criteria and Camp Descriptions**

**Note:** The students should take the same level sessions if they want to take more than one session.

**Math Camp Selection Criteria **(All enrollments require instructor approval)

Level |
Topics Covered |
Pre-Requisite |

Introduction to Contest Math |
Selected topics on MATHCOUNTS and AMC8 | For students who have completed Pre-Algebra |

Level 1 |
Selected topics on AMC8 and MATHCOUNTS | For students who completed Algebra I and familiar with basic Geometry topics. Students need to score 15+ on AMC8 / 75+ on AMC10 or get instructor approval |

Level 2 |
Selected topics on MATHCOUNTS National, AMC 10, and AMC 12 | For students who completed Algebra I and Geometry and can score 100+ on AMC 10 or Instructor Approval |

Level 2.5 |
Selected topics on AMC 10, AMC 12, AIME, and November HMMT | 3-5 on AIME or Instructor Approval |

Level 3 |
Advanced topics on AIME, HMMT, and PUMaC | 6+ on AIME or Instructor Approval |

Level 4 |
Selected Olympiad topics USA(J)MO | USA(J)MO Qualifier or 9+ on AIME or Instructor approval |

**Introduction to Contest Math: **Selected topics on MATHCOUNTS and AMC8

**Who should take this:** Students who have completed Pre-Algebra

Lecture (half day)

Practice Session (half day)

**Session 1
**Dates: June 3- 14 (M-F)

9am – 12pm (Mr. Y)

1pm – 4pm (TBD)

Tuition: $950

**Topics**

- Algebraic Expressions
- Exponents
- Fractions and Decimals
- Order of Operations
- Solving Equations
- Word Problems
- Radicals
- Pythagorean Theorem
- Special Right Triangles

**Session 2**

Dates: July 8 – 12 (M-F)

9am – 12pm (Mr. Y)

1pm – 4pm (TBD)

Tuition: $500

Topics:

- Divisibility and Prime Factorization
- LCM and GCF
- Algebraic Identities and Manipulations
- Sequence and Series
- Triangles and Quadrilaterals ( Length and Area)

**Session 3**

Dates: July 29 – August 9 (M-F)

9am – 4pm

Tuition: $950

Topics:

- Modular Arithmetic
- Number Bases
- Counting
- Combinations
- Pascal’s Triangle
- Probability
- Arcs and Angles
- Circles

**Level 1**: This class is for students who want to improve their performance on middle school competitions such as AMC 8 and MATHCOUTNS.

**Who should take this:** Students who completed Algebra I and familiar with basic Geometry topics. Students need to score 15+ on AMC8 / 75+ on AMC10 or get instructor approval.

**Session 1
**Dates: June 17 – 28 (M-F)

9am – 4pm (Mr. Y)

Tuition: $1,250 (half day $700)

**Session 3**

Dates: July 29 – August 9 (M-F)

9am – 12pm (Mrs. Nal)

1pm – 4pm (TBD)

Tuition: $1,250 (half day $700)

**Session 1 & 3 will cover the same content**

9am – 12pm:

- Diophantine Equations
- Base Numbers
- Sequences and Series
- Functions

1pm – 4pm:

- Coordinate Geometry
- Area in Triangles and Special Quadrilaterals
- Circles (Angles, Length and Area)

**Session 2**

Dates: July 15 – 26 (M-F)

9am – 4pm

Tuition: $1,250 (half day $700)

9am – 12pm (Mr. Y)

- Divisibility and Factors
- LCM and GCF
- Modular Arithmetic
- Algebraic Number Theory
- Counting with Restrictions

1pm – 4pm (Emrah)

- Combinations
- Pascal’s Triangle and Binomial Theorem
- Probability
- Special Right Triangles

**Level 2:** This class is for students who want to improve their performance on higher level competitions such as AMC 10-12 / National Level MATHCOUTNS.

**Who should take this class:** Students who completed Algebra I and Geometry and can score 100+ on AMC 10

**Level 2.5:** This class is for students who want to improve their performance on competitions such as AMC 10/12, AIME, or November HMMT .

**Pre-Requisite:** 3-5 on AIME

**Session 2**

Dates: July 15 -26 (M-F)

9am – 4pm

Tuition: $1,400

9am – 12pm (Mrs. Nal)

- Principle of Inclusion and Exclusion
- Recursion (Fibonacci, Catalan and Bell Numbers)
- Event with States
- Burnside’s Lemma

1pm – 4pm (Dr. Nal)

- Modular Arithmetic
- Diophantine Equations
- Lengths and Area in Triangles and Special Quadrilaterals.

**Level 3:** This class is for students who want to improve their performance on competitions such as AIME, HMMT, PUMaC

**Pre-requisite:** 6+ on AIME

Dates: July 15 – 26 (M-F)

9am – 4pm

Tuition: $1,500

9am – 12pm (Dr. Nal)

1pm – 4pm

**Topics**

- Polynomials and Complex Numbers
- Trigonometric Equations
- Geometry of Complex Numbers
- Recursive Sequences
- Piecewise Defined Functions
- Functional Equations
- Arcs and Angles
- Computational Geometry using Trigonometry

**Level 4:** Selected Olympiad topics USA(J)MO

**Who should take this:** USA(J)MO qualifier or students who scored 9+ on AIME or Instructor approval. This camp will focus on Olympiad Math (proofs). Students will learn how to write proofs and learn more in depths topics and techniques to transition from AIME problems to USA(J)MO problems. This camp will help students improve their USA(J)MO scores.

Dates: July 29 – August 9 (Dr. Nal)

M-F 9am – 4pm

Tuition: $1600

**Algebra**

- Algebraic Inequalities: Cauchy-Schwarz, Rearrangement, Jensen inequalities

Smoothing, Isolated fudging, n-1 EV, Tangent Line trick, and other methods - Functional equations: fixed points, injectivity and surjectivity, involutions
- Cauchy-type functional equations
- Point-wise trap and other methods

**Number Theory**

- Modular Arithmetic; Chinese Remainder Theorem
- Order of an element; Fermat’s Little Theorem; Euler’s theorem
- Powers of Integers
- Arithmetic functions (Euler Totient function; d(n); etc.)
- Diophantine Equations; Pell Equations

**Combinatorics**

- Algorithms
- Processes
- Games
- Counting in Two Ways
- Graph Theory
- Extremal Combinatorics

**Geometry**

- Collinearity, concurrency (Ceva and Menelaus Theorems)
- Radical Axes and the Radical Center
- Homothety and the Nine Point Circle
- Incenter Excenter Lemma
- Symmedians, Simson Line
- Isogonal Conjugates

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**Note**

- $30 annual registration fee (2018 Fall – 2019 Summer)

**Discount**

- 10% discount if paid by 4/7;
- 5% discount if paid by 4/30.

**Refund Policy**

- $100 fee if canceling at least 4 weeks before camp starts
- 50% credit if canceling within 4 weeks before camp starts.
- No refund/credit after camp starts.