Calculus: a Collection of Useful Python Scripts

All programs work on the TI-Nspire CX II

trap.py

Computes the integral of an equation using the trapezoidal method. Requires the upper and lower bounds, equation, and number of steps.

trapT.py

Computes the integral of a table of y values using the trapezoidal method. Requires the upper and lower bounds, table, and constant step size.

simp.py

Computes the integral of an equation using Simpson's rule. Requires the upper and lower bounds, equation, and number of steps.

simpT.py

Computes the integral of a table of y values using Simpson's method. Requires the upper bound and lower bounds, table, and constant step size.

eulersmethod.py

Creates a table of tables, showing Euler's method. Requires the step size, the number of steps, an initial point, and the equation for dy/dx.

newtonsmethod.py

Creates a table of tables showing Newton's Method. Requires the function, the derivative of the function, and the initial x-value. Maximum number of iterations and epsilon is hard coded.