2.2 - Finite Differences
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
Calculate the forward difference for the points (3, 6) and (4, 10).
💡 Hint: Remember the forward difference formula Δy = y(i+1) - y(i).
What is the backward difference for the points (5, 15) and (4, 10)?
💡 Hint: Use the backward difference formula ∇y = y(i) - y(i-1).
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the forward difference?
💡 Hint: Look for the option using next point.
True or False: Backward difference calculates the change between a point and the following point.
💡 Hint: Recall the definition of backward difference.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given the data points (1, 3), (2, 5), (3, 7), and (4, 11), calculate and interpret both forward and backward differences.
💡 Hint: Use the differences as you progress through the data points.
How would a change in the central point affect the interpolation of the surrounding points? Provide a mathematical example.
💡 Hint: Consider realigning data points to see the effects.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.