Non-linear Equations: Bisection Method

This lecture focuses on solving non-linear equations using the bisection method, aiming to find the zeros of functions. The instructor explains the concept of non-linear equations through examples, such as calculating annuity rates. The bisection method is detailed, showing how to iteratively narrow down the interval where the zero lies until reaching the exact solution. The lecture also covers the conditions for choosing the next interval endpoints and the convergence criteria. The method's application is illustrated step by step, emphasizing the importance of continuous functions and sign changes. By the end, students will grasp a practical approach to solving non-linear equations efficiently.