This program has been carefully designed for the students with higher expectation for their American Invitational Mathematics Examination (AIME) scores. While enriching their resume through the school classes, honing the test skill for AIME becomes even more critical.
The AIME is used to determine qualification for the United States of America Mathematical Olympiad (USAMO). There are many math competitions in the United States. Of those, only AMC → AIME → USAMO sequence would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world.
Instructors:
10 Weekends (Time: 3:00 – 5:30 pm), Total: 25 hours
- 1/10
- 1/17
- 1/24
- 1/31 (Monthly Mock Test/Review)
- 2/7
- 2/14
- 2/21 (Monthly Mock Test/Review)
- 2/28
- 3/5
- 3/13 (Final Mock Exam/Review)
Tuition: $1250 (including all materials). We offer discounts of $50 for returning students.
Online Registration is now open! Click HERE to register.
Payment Policy
- Full payment must be received on or before the day of first class.
Refund Policy
- Withdrawal before the first class: Full Refund
- Withdrawal after the first class: $140 deduction
- No refund after the second class
NOTE: We reserve the right to cancel classes due to lack of enrollment.
A commitment to the whole course can maximize the benefit of learning all the math ideas, methods, strategies, tactics, skills, and techniques.
Locations:
13902 Bromfield Road, Germantown, MD 20874
18206 Endora Cir, Germantown, MD 20841
Contact Information:
Ivy League Education Center
Tel: 301-922-9508 or 240-780-8828
Email: chiefmathtutor@gmail.com
Purpose: To prepare for the AIME I — Thursday, March 3, 2016 or AIME II — Wednesday, March 16, 2016
Objectives
- Improve student scores by working on both fundamental theorems and ideas
- Develop and foster creative problem solving strategies
- Make the USA(J)MO!!!
For Whom?
This AIME course is aimed at those students with AMC 10/12 scores of 100+ to students who have scored around 4 on the AIME.
What?
This class will focus mostly on building strong basics in the five main pillars of Combinatorics, Number Theory, Geometry, Algebra, and Probability. The goal is for students to obtain the mental agility required to tackle these complex problems and hopefully get them within and past range of qualification for the USAMO and USAJMO, or around 9 problems.
How?
Focus on basic concepts and essential knowledge before moving on developing the skills and intuition to find and pursue good lines of attack for complex problems.
Class Outline:
In AMIE Prep Class, we will focus on efficient tricks, shortcuts, and strategies to solve AIME problems as well as test-taking tactics.
| Class | Date | Topic | Homework | Tutorial Handouts |
| 1 | 1/10, Sun | Number Theory: Fundamental Theorem of Arithmetic, Greatest Common Divisor and Least Common Multiple, Modular Arithmetic, Divisibility Tests | AIME Problem Set on Number Theory | Yes |
| 2 | 1/17, Sun | Combinatorics: Partitions and Bijections, Generating Functions, Combinatorial Identities, the Inclusion-Exclusion Principle, the pigeonhole principle | AIME Problem Set on Combinatorics | Yes |
| 3 | 1/24, Sun | Probability: Properties of Probability Functions, Geometric probability, Algebraic Probability, Tournaments, Socks, and Dice | AIME Problem Set on Probability | Yes |
| 4 | 1/31, Sun | Algebraic Equations: Distance-Rate-Time Problems, Systems of Nonlinear Equations | AIME Problem Set on Algebraic Equations | Yes |
| 5 | 2/7, Sun | Diophantine Equations, Systems of Diophantine Equations, Quadratic Diophantine and Pell Equations, Special Factoring Trick –– Completing the Rectangle | AIME Problem Set on Diophantine and Pell Equations | Yes |
| 6 | 2/14, Sun | Sequences and Series: Arithmetic Series, Geometric Series and the Telescope Tool, Tiling and the Fibonacci Recurrence, The Catalan Recurrence | AIME Problem Set on Sequences and Series | Yes |
| 7 | 2/21, Sun | Logarithmic and Trigonometric Functions: Putting Logarithmic, Exponential, and Trigonometric Functions Together | AIME Problem Set on Logarithmic and Trigonometric Functions | Yes |
| 8 | 2/28, Sun | Complex Numbers and Polynomials: The Algebra of Complex Numbers, The Geometry of Complex Numbers, Basic Definitions and Facts about Polynomials, Polynomials with Complex Roots | AIME Problem Set on Complex Numbers and Polynomials | Yes |
| 9 | 3/6, Sun | Plane Geometry: Triangle Geometry, Circle Geometry, Geometrical Concepts in the Complex Plane | AIME Problem Set on Plane Geometry | Yes |
| 10 | 3/13, Sun | Spatial Geometry: Rectangular Boxes, Cylinders, Cones, Spheres, Tetrahedra and Pyramids | AIME Problem Set on Spatial Geometry | Yes |
Two FREE textbooks:
- Paul Zeitz: The Art and Craft of Problem Solving, 2nd Edition
- Richard Rusczyk and Sandor Lehoczky: The Art of Problem Solving, Vol. 2: And Beyond, 7th Edition
Homework: At least 5 hours per week. Students are expected to complete all of the previous AIME contests in the past 10 years, which is over 60 hours of practice. Our instructors are open to questions on any previous AIMEs.
All problems from all of the previous 49 AIME contests (1983-2015) form our “big data” system. We have used data mining and predictive analytics to examine the types and the frequencies of questions in all these materials, and then completely “decoded” the AIME. We will show all the “secret code” cracked from the above big data to students, and teach them to totally grasp and “control” the AMC. For all questions on the recent AIME contests, we can find their “ancestors” and “roots” from the old AIME problems. Therefore, the best way to prepare for the contest is to practice by solving old AIME problems.
Our Students
From 2011 to 2015, in total, 37 students scored above 120 on the American Mathematics Contest 10 (AMC 10) and qualified for the American Invitational Mathematics Examination (AIME); 26 students scored above 100 on the American Mathematics Contest 12 (AMC 12) and qualified for the American Invitational Mathematics Examination (AIME); 3 students qualified for the USA Mathematical Olympiad (USAMO), the highest level of math competition for high school students in the USA.
Read more:
- Notable Achievements of Our Students
- 2015 AMC 8 Results Announced
- AMC 8 Winners for the U.S. Ivy League Education Center (2014)
Click HERE find out more about Math Competitions!
Ivy League Education Center 
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