Practice Interpolation & Numerical Methods - 1 | 1. Finite Differences | Mathematics - iii (Differential Calculus) - Vol 4
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Interpolation & Numerical Methods

1 - Interpolation & Numerical Methods

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.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the definition of a finite difference?

💡 Hint: Think about how one value differs from another.

Question 2 Easy

Calculate the forward difference Δf(1) when f(1)=1 and f(2)=8.

💡 Hint: Use the formula for forward difference.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Δf represent?

The change in function value
The total value of a function
The function itself

💡 Hint: It's about the change between two points.

Question 2

True or False: The backward difference only uses future value data.

True
False

💡 Hint: Focus on which values are involved.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Use finite differences to derive the second-order link function from known values at three points: (1, 1), (2, 8), (3, 27).

💡 Hint: Think about how differences build upon each other visually.

Challenge 2 Hard

Given data points are not equally spaced, explain how you would adapt Newton's backward interpolation formula.

💡 Hint: Focus on the key differences in how you find u.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.