Quote of the Day: "The lottery is a tax on people who are bad at math." Objectives: The student will learn to apply Newton's Method to solving for zeroes of equations. 1. Collect Homework. 2. Newton's Method Newton's Method is a means of approximating the roots of an equation. Graphing calculators have a "Solver" feature which uses Newton's Method for its algorithm. This method assumes that the tangent line is a close approximation of the curve itself. 3. Example: Repeat this process until your approximation is within the desired bounds. Remarks: 1. This does not work if the derivative of your initial guess is 0. Pick a new starting point. 2. This does not always converge. 4. Example: 5. Recursive formula for Newton's Method: 4. Assignment p. 327 (1, 5, 7) |