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 "Basic Concepts of Calculus" course is designed to provide a comprehensive understanding of fundamental calculus principles, catering to learners at various levels of expertise. Spanning across a series of carefully structured lectures, this course starts with an introduction to essential concepts such as limits, derivatives, and basic integration. As the course progresses, it explores advanced topics including techniques of differentiation, applications of derivatives in real-world scenarios, and integration methods for calculating areas and volumes under curves. The curriculum extends to cover multivariable calculus, differential equations, series, and applications in diverse fields. With a focus on building a strong foundational knowledge of calculus, the course aims to equip students with the tools necessary for solving problems and exploring the many practical applications of calculus in science, engineering, economics, and other disciplines.

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.

# Basic Concepts of Calculus, 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.