Multivariable Calculus: Newton's Method

In this derivative worksheet, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page worksheet contains four problems.

In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...

In this Newton's Method worksheet, students use Newton's Method to estimate the largest root and sketch graphs. This one-page worksheet contains six multi-step problems.

In this Newton's method worksheet, students estimate the value of a solution and use a differential to estimate the value of a root. This one-page worksheet contains two problems.

For this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...

In this calculus worksheet, students are given 3 short-answer problems regarding Newton's method, generalized Babylonian algorithms and estimation.

In this sequence learning exercise, students explore the convergence of a sequence and the rate of a sequence. They explore problems and identify the order of convergence. This three-page learning exercise contains approximately six...

In this Newton's Law of Cooling, students estimate rates of change and solve initial value problems. This six-page worksheet contains approximately 15 multi-step problems.

Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...

Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...