Eddie's Math and Calculator Blog

 Python: Square Root Simplification Introduction The script SQFACTOR.py attempts to factor and simplify square root expressions in the form ...

Eigenvalues of 3 x 3 Matrices Many graphing calculators that do not have CAS (computer algebraic systems) do not have eigenvalues and eige...

Eigenvalues of 2 x 2 Matrices Many graphing calculators that do not have CAS (computer algebraic systems) do not have eigenvalues and eige...

Indefinite Integral of a Polynomial Goal: Determine the coefficients of the indefinite integral of the polynomial p(X) where p(X) = a_n * ...

Derivative of a Polynomial Goal: Determine the coefficients of the derivative of the polynomial p(X) where p(X) = a_n * x^n + a_(n-1) * x^...

Quadratic Formula Ax² + Bx + C = 0 Where x = (-B ± √(B² - 4AC)) / (2A) This is just the popular quadratic formula, except this set of prog...

Euclid Algorithm Goal: To find the greatest common divisor of two integers U and V. The Algorithm in Brief: Let U ≥ V. Then U = A * V + ...

Polynomial Evaluation Goal: Evaluation of the polynomial p(x) at x = a. This gives an alternative to typing out the polynomial itself. E...

Polynomial Multiplication Goal: Multiply two polynomials: p1(x) * p2(x) = p3(x) Inputs: Coefficients of p1(x) and p2(x) as List 1 and Lis...

Synthetic Division Goal: Divide the polynomial p(x) = a_n x^n + a_(n-1) x^(n-1) + ... + a_0 by (x - r). p(x) ÷ (x - r) = q_n x^n + q_(n-...

Binomial Expansion Goal: To find the coefficients of when (ax + by)^n is expanded. The variables a and b are numeric. (ax + by)^n = Σ (n ...

Simplifying Square Roots Goal: Simplify square roots of integers. For example, √180 = 6 √5, √80 = 4 √5 General Algorithm: Start with int...

It's coming! The Numeric CAS project is a set of programs designed to give common graphing calculators a set of some common computer al...