Description
These are 5 practice problems involving Euler’s Method.
The first and third problems consists of three sub-problems. Students are given a linear differential equation of first order, an initial condition and a step size. They have to find approximations of the solution in given points using Euler’s method. Then students find the particular solution to the given equation and calculate the values of y(x) for the same points. They compare the obtained values and compute the errors of the approximations.
The second and fifth problems are finding an approximation of y(x) for given value of x. The second problem requires five and the fifth problem requires ten iterations. Students will need a calculator.
The fourth problem is finding an approximation of y(xo) with a different step size. Students are asked to compare the obtained values and answer the question which step size provides a better approximation.
The practice sheets have room and added tables for students to record their answers and final calculations. I have also included a student recording sheet where students to show all their work.
Answer keys are provided.
Highlights
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Description
These are 5 practice problems involving Euler’s Method.
The first and third problems consists of three sub-problems. Students are given a linear differential equation of first order, an initial condition and a step size. They have to find approximations of the solution in given points using Euler’s method. Then students find the particular solution to the given equation and calculate the values of y(x) for the same points. They compare the obtained values and compute the errors of the approximations.
The second and fifth problems are finding an approximation of y(x) for given value of x. The second problem requires five and the fifth problem requires ten iterations. Students will need a calculator.
The fourth problem is finding an approximation of y(xo) with a different step size. Students are asked to compare the obtained values and answer the question which step size provides a better approximation.
The practice sheets have room and added tables for students to record their answers and final calculations. I have also included a student recording sheet where students to show all their work.
Answer keys are provided.
