Welcome to Forethought India One-on-One Courses. Our program is designed to provide students with the skills and knowledge necessary to excel in their chosen profession. Our instructor for this course is

Prof. Filippo Gazzola at Politecnico di Milano

Embark on a fascinating exploration of the intricate world of number patterns in this comprehensive course. Over the span of multiple lectures, this program delves into the fundamental concepts and intricacies of numerical sequences, revealing the beauty and logic behind various patterns. Beginning with an introduction to number patterns, the course gradually progresses to cover arithmetic and geometric sequences, prime numbers, series, and specialized sequences like the Fibonacci sequence. Delving deeper, it explores the complex patterns in Pascal's Triangle, recurring decimals, polygonal numbers, and diverse mathematical structures. Moving to an advanced level, it investigates the patterns in continued fractions, prime factorization, modular arithmetic, and the implications of number patterns in cryptography, chaos theory, and more. Each lecture, meticulously crafted to fit within a concise 20-minute timeframe, presents a blend of theory and practical examples to provide a comprehensive understanding of number patterns, making this course an illuminating journey through the captivating world of mathematical sequences and structures.

At the end of the program, students will receive a certificate & performance letter by the eductor indicating that they have completed the program and acquired the necessary skills and knowledge to excel in their chosen profession.

# Number Patterns Revealed, by Filippo Gazzola

Filippo Gazzola is a distinguished educator in the field of mathematics, specializing in the application of mathematical theories to real-world engineering challenges. As a Full Professor of Mathematical Analysis at Politecnico di Milano, his extensive teaching experience spans over two decades. Gazzola's expertise in Optimization and Differential Equations has been recognized through numerous accolades and awards, including the Teaching Award from Università Bocconi.

He is an accomplished author of several publications and books that delve into the mathematical models and stability analysis of structures, particularly focusing on suspension bridges. Gazzola's research contributions, notably in nonlinear equations for beams and degenerate plates with piers, provide a comprehensive understanding of the stability of such structures. His work not only caters to mathematicians and engineers but also contributes to addressing real-life engineering challenges.

Aside from his academic roles, Gazzola has served as a Visiting Professor at various esteemed institutions globally, including Université libre de Bruxelles, where he imparts his knowledge and expertise in mathematics. His dedication to education and his notable contributions to the field of mathematics make him an influential figure in academia.