Three Projects are available and will be assigned by the instructor:
Project I – TI 84 or Project I – TI 89 :
In this project, students create a calculator program that approximates definite integrals using the left/right Riemann sums, the Midpoint rule, the Trapezoidal rule, and Simpson’s rule. Error bounds for the above approximations will also be found.
Project II :
In this project, students use integrals to find the area between the graphs of two or more functions and the volume of different solids of revolution about vertical/horizontal axis. Both the Slicing and Cylindrical Shells methods will be applied.
Project III :
This project is a practice of all the Convergence/Divergence Rules for Sequences and Series. After completing this project, students will be able to figure out which test to use to make a decision about the convergence of a serties.