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Sequences, Series, and Power Series
Web-Based Tutorials
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- Multiple Function Grapher
Enter the functions you wish to graph in the "f1(x) = ", "f2(x) = ", and "f3(x) = " fields. Use standard calculator data entry. Give the viewing area by entering values in the "xmin", "xmax", "ymin", and "ymax" fields. To determine the location of any point on the graph click on that point. The point will appear in the "(x, y) = " field.
- Limit Practice
Enter the function f(x) whose derivative you wish to evaluate. Determine what you believe is the correct answer and click on the Check button to check your result.
- Newton's Method
Enter a function f(x), its derivative, and an initial guess. Click on the Calculate button to obtain a table with the details of the first five iterations of Newton’s Method for finding the roots of the given f(x).
- Integral Practice
Enter a function f(x) in the integrand of the integral. Determine what you believe is the correct anti-derivative and click on the Check button to check your result.
- Trapezoidal Rule Practice
Enter a function f(x) in the integrand of the integral, the lower and upper limits of integration and the number of intervals (1 - 20) you want to use in your Trapezoidal Rule approximation. Use Trapezoidal Rule to determine the value of the given integral. Click on the Check button to obtain the trapezoidal rule approximate value and a table with the details of the trapezoidal rule calculations
- Simpson's Rule Practice
Enter a function f(x) in the integrand of the integral, the lower and upper limits of integration and the number of intervals (1 - 20) you want to use in your Simpson's Rule approximation. Use Simpson's Rule to approximate the value of the given integral. Click on the Check button to obtain the Simpson's Rule approximation and a table with the details of the Simpson's Rule calculations.
- Derivative Practice
Enter the function f(x) whose derivative you wish to evaluate. Determine what you believe is the correct answer and click on the Check button to check your result.
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