2.2.1 - How the Bisection Method Works
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the Bisection Method?
💡 Hint: Think about how it narrows down the interval.
What condition must be met to use the Bisection Method?
💡 Hint: Consider the Intermediate Value Theorem.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What do we calculate first in the Bisection Method?
💡 Hint: It's part of the initial step!
True or False: The Bisection Method can only be used if the function is continuous.
💡 Hint: Think about if the method can be applied to jumpy functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Use the Bisection Method to find a root for f(x) = cos(x) - x, starting from the interval [0, 1]. Show all iterations until you reach a tolerance of 0.01.
💡 Hint: Remember to keep refining your interval based on the function values.
Compare the Bisection Method to another root-finding method, discussing the pros and cons based on efficiency and ease of implementation.
💡 Hint: Think about different scenarios where each method is favorable.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.