A LECTURE ON “ThE GOLDEN RATIO AND ITS APPLICATIONS IN MATHEMATICS, ARCHITECTURE, AND ART” HELD AS PART OF MATHEMATICS WEEK

As part of Mathematics Week, a lecture entitled “The Golden Ratio and Its Applications in Mathematics, Architecture, and Art” was held for first-year students at the Department of Mathematics and Mathematical Modeling of the E. Umetov Pedagogical Institute, B. Osmonov Jalal-Abad State University.The lecture was prepared by Mahabat Kudaiberdievna Beknazarova, Senior Lecturer of the Department. The students were introduced to the mathematical meaning of the golden ratio, its main properties, and its applications in various fields.During the lecture, students explored the mathematical formula of the golden ratio, its properties as an irrational number, its relationship with the Fibonacci sequence, and the concepts of the golden rectangle and the golden spiral. The lecture also examined examples of the golden ratio in nature and its role in creating proportions in architecture and art.Theoretical explanations were complemented by mathematical examples and practical problems, with particular emphasis on reinforcing students’ knowledge. Independent assignments were designed to develop students’ logical thinking, mathematical analysis skills, and creative approaches to problem-solving.Such educational activities increase students’ interest in mathematics and promote a deeper understanding of how mathematical patterns and principles are applied in everyday life, nature, architecture, and art.