Momentum Learning Contest Math Level 2 (AIME)
Welcome to our contest math summer camp, where we delve into more challenging mathematical concepts beyond typical school curriculum. Our program is designed to cultivate a deeper understanding of mathematical principles and enhance problem-solving abilities in students.
This camp is for students who want to improve their performance on higher level competitions such as AMC 10, AMC 12, AIME, National Level MATHCOUNTS.
Contest Math Advanced Level 2 (AIME)
- Prerequisite: AIME Qualifier or completion of CM500 or CM501
- Homework: Throughout the camp sessions, the instructor will tackle various example questions. It’s crucial that students thoroughly review and actively engage with any unanswered questions from each session, every day of the camp.
Momentum Learning Contest Math Summer Camp Overview
Online
Contest Math Level 2 (AIME)
Combinatorics
Instructor: Osman Nal, PhD
Dates: July 13 – July 24
Monday – Friday
Time: 1PM – 4:30PM CT
10 classes (35 hours)
Fee: $1,249
Contest Math Level 2 (AIME)
Geometry
Instructor: Osman Nal, PhD
Dates: July 27 – August 7
Monday – Friday
Time: 1PM – 4:30PM CT
10 classes (35 hours)
Fee: $1,249
Contest Math Level 2 (AIME)
Algebra
Self-paced
Instructor: Michelle Nal
Optional Office Hour
Dates: June 29 – Aug 17
Monday 7PM – 8PM CT
Fee: $849
Contest Math Level 2 (AIME)
Number Theory
Self-paced
Instructor: Osman Nal, PhD
Optional Office Hour
Dates: June 29 – Aug 17
Monday 7PM – 8PM CT
Fee: $849
Online Classes: All instructional materials from the camp, including recorded sessions, will remain accessible for an additional three months following the conclusion of the camp. Zoom and Canvas platforms will be utilized for delivery and access to these resources.
Self-paced Classes: All instructional materials for the self-paced classes, including recorded sessions, will be accessible for 6 months from the start date. Optional weekly office hours are available. Students must submit questions to info@momentumlearning.org at least one day before each office hour. Office hours will be canceled if no questions are submitted. Zoom and Canvas platforms will be used for delivery and access to these resources.
Contest Math Level 2 – Geometry
Geometry (Week 1)
- Similarity and congruence of triangles
- Circles; Cyclic quadrilaterals; Ptolemy theorem
- Power of a point
- Law of Sines; Law of Cosines
- Coordinates; Solid geometry
Geometry (Week 2)
- Mass Point Geometry
- Area
- Coordinate Geometry
Contest Math Level 2 – Algebra
- Sequences and series
- Advanced System of Equations
- Algebraic Number Theory
- Identities, Manipulations
- Polynomials and Complex Numbers
- Vieta formulas
- Rational root theorem and factor theorems
- Four operations in the complex plane
- Functions
- Piecewise defined and periodic functions
- Absolute value; Floor function
- Logarithmic and exponential functions
- Graphing functions
Contest Math Level 2 – Combinatorics
- Principle of Inclusion and Exclusion
- Constructive Counting
- Recursion
- Recursive Sequences
- Fibonacci, Catalan Numbers
- Stirling Numbers of 1st and 2nd Kind
- Probability
- Geometric Probability
- Conditional Probability
- Casework, Complementary, and Constructive counting
- Distribution and partition problems
- Counting by 1-1 correspondences
- Combinatorial identities (Pascal, Hockey Stick and Vandermonde identities
- Probability; geometric probability; conditional probability
Contest Math Level 2 – Number Theory
- Basics: Divisibility, LCM/GCD, Factorization
- Decimals and number bases
- Modular arithmetic (Solving system of congruences, Chinese Remainder theorem)
- Powers of primes (Fermat’s little theorem, Euler’s totient function and Euler’s theorem)
- Solving simple Diophantine equations (Introduction to Pell-type equations)
Osman Nal, Ph.D.
Dr. Nal has a deep passion for teaching math and its applications. He has special interest in utilizing games and experiments to explain fundamental ideas and concepts in math, economics and finance.
He’s also been helping high school students prepare for math Olympiads over the years. Some of his students went on to become MOSP attendees, USA(J)MO Honorable Mentions and USA(J)MO Winners. Each year more than 60 of his students at Momentum Learning qualified for USA(J)MO. Among them, 4-8 students qualify for MOSP.
In addition, Dr. Nal also teaches at AoPS. Dr. Nal also creates his own videos with solutions to USAMO and other math problems in his YouTube channel (https://www.youtube.com/user/osmannal) with over 7,500 subscribers. The Channel is growing every day with over a hundred videos that can be used as a resource for those starting their journey to Olympiad problem solving.
Michelle Nal
Coach Nal is a nationally well known mathematics teacher focused on contest math. As a math coach, she taught State and National MATHCOUNTS participants, USA(J)MO qualifiers, MOSP attendees, and USAJMO winners/honorable mentions.
Coach Nal was the coach of the Texas MATHCOUNTS Team that placed 1st at Nationals in three consecutive years, 2018, 2017 and 2016, 3rd in 2011, 5th in 2019, and 7th in 2015. In 2018 and 2017, 2 of her students were the MATHCOUNTS NATIONALS Champion and Runner-Up. In 2016, all her 4 students made top 12 in the nation. Coach Nal coached the Quail Valley GT Academy team who won 2015-2019 Texas State MATHCOUNTS.
Each year, 70-100% of the top finishers at Houston MATHCOUNTS chapter are Momentum Learning students. In 2019, 9 out of the top 10 students at Texas MATHCOUNTS State were Momentum Learning Students.
Coach Nal is a MATHCOUNTS Board Member and she is also on the Question Writing Committee. In addition, Coach Nal is an AMC8 Contest Board Member. She is a two time recipient of the MAA’s Edyth May Sliffe Award for Excellence in Teaching and the Raytheon MathMovesU Heroes Award.
Teaching Recordings – Osman Nal, Ph.D.
Self-paced Contest Math Courses Overview – Osman Nal, Ph.D.
FAQ
Will summer camp cover the same material as spring and fall semesters?
There could be some overlap in topic coverage. However, most of the questions addressed in the camp will differ from those in our spring/fall classes.
Mastering contest math concepts typically requires multiple reinforcement opportunities. Each subsequent encounter with the same topics not only deepens students’ understanding but also progressively enables them to apply these concepts independently. It is unrealistic to expect students to fully grasp a concept and proficiently apply it after being exposed to it only once or twice.
Will there be homework assigned daily?
During the camp sessions, the instructor will present various example questions. Initially, students will be given 2-3 minutes to attempt solving the question. Subsequently, the instructor will solve the question and discuss its implications. It’s typical for students not to fully solve the questions within the allotted time. Therefore, the homework is for students to review and actively tackle all questions they didn’t complete during each day’s camp session.
Remember: You cannot claim to know how to solve a question unless you independently work through it without assistance.
Note: $40 annual registration fee per student (Fall 2025 – Summer 2026)