Professor of Mathematics (Emeritus)

Loyola Marymount University

Los Angeles, CA

Here are some examples that use Calc-50 programming and graphics.

Program Fourier series using sum key and display with plot.

Fourier series

**
**

Analyse the rate of convergence of an infinite sum.

Arctan sum

**
**

Evaluate an infinite nested sequence of radicals.

Use the sum key as a loop control and the select key as an if statement

Nested radicals

**
**

Evaluate an infinite sum with only prime terms.

Define the prime counting function and use Aitken acceleration to coax more accuracy from a sum.

Prime sum

**
**

Derive a Guass quadrature integration rule.

Evaluate Legendre polynomials, and use combinations, derivatives, sums, equation solving.

Derive a Guass quadrature rule

**
**

Solve an equation where the function involves an integral.

The solve key calls a function which in turn calls the integrate function.

Solve an integral equation

**
**

Solve an ordinary differential equation and do a list plot of the solution.

The ode function is called from sum to make a list of points y(x(i)) and then plot the list.

Solve a differential equation

**
**

Use ode called from the solve function for a boundary value problem.

Define a function with a root that gives the solution to a boundary value problem.

Solve a boundary value problem

**
**

Estimate the value of a double sum.

Use the sum key with a function that also uses the sum key.

Make a table of partial sums and then extrapolate using a function that does a general

version the Aitken acceleration formula.

Double sum

**
**

Back to the main Calc-50 page