This program has been carefully designed for the students with a busy daytime schedule for internships or other activities. These students usually have higher expectation for their American Invitational Mathematics Examination (AIME) scores. While enriching their resume through exciting internship experience, 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:
Two Weeks: 7/20 – 7/31
Time: 7:00 to 9:00 pm
Tuition: $1100 (including all materials)
Online Registration is now open! Click HERE to register.
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 | 7/27, Mon | Algebraic Equations: Distance-Rate-Time Problems, Systems of Nonlinear Equations | AIME Problem Set on Algebraic Equations | Yes |
| 2 | 7/28, Tue | Combinatorics: Partitions and Bijections, Generating Functions, Combinatorial Identities, the Inclusion-Exclusion Principle, the pigeonhole principle | AIME Problem Set on Combinatorics | Yes |
| 3 | 7/29, Wed | Probability: Properties of Probability Functions, Geometric probability, Algebraic Probability, Tournaments, Socks, and Dice | AIME Problem Set on Probability | Yes |
| 4 | 7/30, Thu | Number Theory: Fundamental Theorem of Arithmetic, Greatest Common Divisor and Least Common Multiple, Modular Arithmetic, Divisibility Tests | AIME Problem Set on Number Theory | Yes |
| 5 | 7/31, Fri | 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 | 8/3, Mon | 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 | 8/4, Tue | Logarithmic and Trigonometric Functions: Putting Logarithmic, Exponential, and Trigonometric Functions Together | AIME Problem Set on Logarithmic and Trigonometric Functions | Yes |
| 8 | 8/5, Wed | 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 | 8/6, Thu | Plane Geometry: Triangle Geometry, Circle Geometry, Geometrical Concepts in the Complex Plane | AIME Problem Set on Plane Geometry | Yes |
| 10 | 8/7, Fri | Spatial Geometry: Rectangular Boxes, Cylinders, Cones, Spheres, Tetrahedra and Pyramids | AIME Problem Set on Spatial Geometry | Yes |
Homework: At least 2 hours per day. 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.
Click the following articles to read more about our competitive math prep courses:
- American Mathematics Competitions (AMC) Materials
- Summer Evening Intensive AIME Prep Course Starting July 20
- Math Olympiad Prep (for Rising 3rd to 5th Graders) Summer Weekend Course Starting July 11
- AMC 8/Mathcounts Prep (for Rising 5th to 8th Graders) Summer Weekend Course Starting July 11
- AMC 10/12 Prep (for Rising 8th to 12th Graders) Summer Weekend Course Starting July 11
- Premier National Mathematics Competition — AMC 8
- Great Benefits of Math Competitions
- A little competition can inspire math students to greater achievement
- Chief Instructor: Dr. Henry Wan
- Head Math Instructor: Dr. Natasha Khovanova
- Senior Math Instructor: Dr. Irina Kufareva
- Notable Achievements of Our Students
- American Mathematics Contest 10 (AMC 10)
- AMC 8 Winners for the U.S. Ivy League Education Center
- The Big Value of Middle School Math Competitions
- Why Discrete Math Is Very Important
- Mathematics competitions are NOT mysterious, and every student can attend them! — 数学竞赛绝非神秘，每个学生都可参加！
- Girls should attend math competitions — 女生更应参加数学竞赛
Ivy League Education Center 
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