Saturday, December 1, 2012

Numeric CAS Project - an Introduction

It's coming! The Numeric CAS project is a set of programs designed to give common graphing calculators a set of some common computer algebraic system functions and advanced graphing calculators.

The calculators that I will be working with in this series are:

* Texas Instruments TI-84 Plus
* Casio Prizm fx-CG 10 (should work on most Casio graphing calculators)
* Hewlett Packard 39gii

Everything is this series is done by using the calculator's native languages. No hacking is required. The programs use the numeric features of the calculator.

Often, lists will be used to represent coefficients of polynomials. The power of coefficients are in descending order. For example, to represent the polynomial x^3 + 2x - 1, the list would be {1, 0, 2, -1}. Zeroes are necessary in these lists.

There will be twelve parts in the Numerical CAS Project:

1. Simplifying Square Roots of Integers
2. Expanding Binomials
3. Synthetic Division
4. General Multiplication of Polynomials
5. Polynomial Evaluation
6. Euclid Algorithm to find GCD
7. Quadratic Formula
8. Derivative of a Polynomial
9. Indefinite Integral of a Polynomial
10. Eigenvalues of a 2 x 2 Matrix
11. Eigenvalues of a 3 x 3 Matrix
12. Complex Roots of a Complex Number

I aim to post all twelve parts throughout December 2012. What is awesome about programming a calculator is that you extend its functionality beyond the already extensive list of given functions, and you don't have to be an expert in assembly or complex language.

Eddie


This blog is property of Edward Shore. 2012

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