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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


The "Introduction to Ratios and Proportions" course is designed to provide a comprehensive understanding of fundamental concepts in ratios and proportions. Throughout the series of lectures, students will delve into the core principles of ratios, learning to interpret, represent, and solve problems using different forms of ratios. The course covers simple and complex proportions, exploring their applications in various real-life scenarios, from basic everyday situations to more advanced contexts in fields such as mathematics, science, finance, art, and social sciences. The curriculum progresses from foundational topics like understanding ratios to advanced problem-solving techniques involving proportions in intricate scenarios. Students will also gain insights into proportional relationships in geometry, physics, statistics, economics, and other disciplines, equipping them with a versatile skill set to analyze, interpret, and apply ratios and proportions across diverse fields. The course aims to foster a deep comprehension of how ratios and proportions function in different contexts, empowering learners to apply these fundamental mathematical concepts to solve multifaceted problems they encounter in the real world.

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.

Introduction to Ratios and Proportions, 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.