3 - Interpolation & Numerical Methods
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Practice Questions
Test your understanding with targeted questions
What is numerical differentiation?
💡 Hint: Think about how we deal with tables of values.
List the three main difference formulas used in numerical differentiation.
💡 Hint: These have directions in their names.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is numerical differentiation?
💡 Hint: Remember how we handle experimental data.
Round-off error occurs due to:
💡 Hint: Think about how computers manage decimal values.
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Challenge Problems
Push your limits with advanced challenges
Given a table of values: x | f(x): 0 | 1, 1 | 2, 2 | 0.5, calculate f'(1) using the central difference method and discuss the effect of spacing.
💡 Hint: Think about how the choice of spacing affects your calculations.
Explore the implications of using noisy data for numerical differentiation and propose strategies to mitigate errors.
💡 Hint: Consider filtering approaches that are common in data analysis.
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