Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβperfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the forward difference formula approximate?
π‘ Hint: Think about how we use previous and future values to estimate a rate of change.
Question 2
Easy
Which integration method uses polynomial interpolation?
π‘ Hint: These formulas fit a polynomial to discrete data points.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the central difference methodβs error reduction rate?
- O(h)
- O(hΒ²)
- O(hΒ³)
π‘ Hint: Use 'h' to think about how error varies.
Question 2
True or False: The trapezoidal rule provides a higher accuracy than Simpson's rule.
- True
- False
π‘ Hint: Remember which method fits a line and which fits a curve.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using a data set of (1, 3), (2, 5), and (3, 9), compute the derivative at x=2 using the forward and backward difference methods. Compare their results.
π‘ Hint: Calculate both approximations and discuss why they differ.
Question 2
If given the integral of sin(x) from 0 to Ο using Simpsonβs Rule with n=2 intervals, calculate and compare it to the value obtained through trapezoidal rule.
π‘ Hint: Assess how both methods depict the shape and area under the curve.
Challenge and get performance evaluation