2.1 - Introduction to Numerical Methods for Solving Equations
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Practice Questions
Test your understanding with targeted questions
What is a root of an equation?
💡 Hint: Think about the values that make f(x) = 0.
Name one numerical method for solving equations.
💡 Hint: It's a method that requires an interval.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Bisection Method require?
💡 Hint: What do we look for in the endpoints of the interval?
True or False: The Newton-Raphson method can converge quickly when starting close to the root.
💡 Hint: What helps the Newton-Raphson method?
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Challenge Problems
Push your limits with advanced challenges
Using the Newton-Raphson method, find the root of f(x) = x^2 - 2, starting from x0 = 1.
💡 Hint: Remember to use the derivative correctly.
Demonstrate the Secant Method on f(x) = x^2 - 4 with x0 = 1 and x1 = 3, calculate two iterations.
💡 Hint: Make sure you properly apply the formula for the secant method.
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