Bisection Method: Approximating Zeros of Functions

This lecture introduces the bisection method, a numerical technique for approximating zeros of functions. The method is based on the dichotomy between two subintervals and guarantees the existence of at least one zero. By iteratively narrowing down intervals, the method calculates approximate values of zeros. The lecture covers the process of selecting intervals, calculating approximate values, and determining convergence. Additionally, it explores the advantages and disadvantages of the bisection method, including its slow convergence and lack of additional assumptions. The lecture also discusses the proportional parts method as an alternative approach for faster convergence.