Momentum Learning Contest Math Advanced Level 3
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 competitions such as AIME, HMMT, PUMaC.
Contest Math Advanced Level 3
- Prerequisites: 180+ on JMO Index or Completion of CM600/602
- Fee: $1,149
- Typical class size: 12 – 18
- 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.
Please note: Level 3 is focused on computational math that will help students improve their scores on AIME.
Online
Advanced Level 3
Algebra / Geometry
Instructor: Osman Nal
Dates: July 8 – 19 (M-F)
Time: 12:30 – 4PM CT
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.
Level 3: Algebra / Geometry
Algebra
- Functions; properties of functions; graphing; logarithms
- Inequalities; optimization (max/min)
- Polynomials; Vieta formulas; Symmetric polynomials
- Complex numbers; roots of unity; rotation
- Sequences and series; invariants
Geometry
- Cyclic quadrilaterals; Ptolemy theorem
- Power of a point; Radical Axis theorem
- Law of Sines; Ratio lemma
- Coordinates; Solid geometry; dihedral angle
- Homothety; rotation/reflection; spiral similarity
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 2023 – Summer 2024)