3.1 - Introduction to Numerical Differentiation and Integration
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Practice Questions
Test your understanding with targeted questions
What is numerical differentiation?
💡 Hint: Think about how derivatives are generally defined.
List the three finite difference methods.
💡 Hint: Consider how each method approaches the problem.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary goal of numerical differentiation?
💡 Hint: Consider the cases when you might not have a formula.
True or False: The central difference method is less accurate than the forward difference method.
💡 Hint: Think about the data points used in each method.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the function f(x) = x^2 + 3x, find the derivative using forward and backward differences at x = 1 with h = 0.1. Compare your results to the actual derivative.
💡 Hint: Use the provided formulae and plug in the values carefully.
Estimate the integral of f(x) = cos(x) from 0 to π/2 using Simpson's Rule with four intervals. Calculate the error compared to the known analytical result.
💡 Hint: Divide the interval properly and remember to apply the Simpson's Rule formula.
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