Programming on graphing calculators

Igor Fulman

Department of Mathematics & Statistics,
Arizona State University

ABSTRACT:
I will discuss ideas and principles of programming on graphing calculators. I will demonstrate using these
principles in my programs calculating integral sums using different methods. I successfully use my programs
in teaching Brief Calculus. My programs are better than existing programs. They use better algorithms,
present results in easier forms. Moreover, my programs for different types of calculators have very similar
interface, which makes teaching easier.

Here is one useful formula that I discovered while writing the programs:

        S_2n = (2 M_n + T_n) / 3

where:
S_2n is the Simpson sum for 2n subintervals,
M_n is the Midpoint sum for n subintervals,
T_n is the Trapesoid sum for n subintervals.