Math Masters Course — Three-Month Academic Program (Second Session)

The Second Session of the Math Masters Club was organized and led by Juneyd Ganbarov, who founded the club, designed the academic structure of the program, and carefully selected the curriculum topics to build a strong and logical progression toward competitive mathematics. His approach was to combine core algebraic foundations with Olympiad-style reasoning, creating a clear pathway from theory to advanced problem solving.

During the three months from September to December 2025, students attended weekly sessions focused on analytical thinking, structured reasoning, and high-level mathematical techniques. The instructional process was supported by assistant instructor Javad Nabizade, who worked closely with students during exercises and collaborative problem-solving activities.

Throughout the program, participants covered key topics that form the backbone of both advanced school mathematics and Olympiad preparation.

Core Topics Covered

1. Sequences and Series — recognizing patterns, arithmetic and geometric progressions
2. Exponential Expressions — laws of exponents and advanced manipulation
3. Radical Expressions — simplifying radicals and rationalization techniques
4. Logarithms — properties of logarithms and their applications
5. Quadratic Equations — solving methods and interpretation of solutions
6. Quadratic Inequalities — solving and graphical understanding
7. Parabola — properties, vertex form, and graph analysis
8. Polynomials — factorization, roots, and functional relationships
9. Simple Inequalities — linear and basic inequality problem solving
10. Absolute Value — equations, inequalities, and graphical meaning
11. Basic Trigonometry — fundamental identities and introductory problem solving
12. Olympiad Questions Practice — structured work with competition-style problems

Learning Outcomes:

By the end of the session, students:

• Strengthened logical and analytical thinking
• Improved Olympiad-style problem-solving skills
• Gained confidence in advanced mathematics
• Developed consistency and academic discipline through regular practice

This second three-month cycle highlighted the impact of a curriculum personally created and organized by Juneyd Ganbarov, demonstrating how a well-structured and thoughtfully selected set of topics can effectively prepare motivated students for higher-level mathematics and future national and international competitions.