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JKMATH

John Kennedy
Mathematics Department
Santa Monica College
1900 Pico Blvd.
Santa Monica, CA 90405
jkennedy@smc.edu or 71514:751@compuserve.com

JKMATH is a four program package which includes: MATRIX, YFUNX, GALTON, and XPRES.

The MATRIX program teaches row operation algorithms, and matrix arithmetic. MATRIX can work with either fractions or decimals. In addition, MATRIX can find complete solutions to systems of linear equations, compute determinants, inverses, eigenvalues, eigenvectors, and sets of basis vectors, as well as apply the Gram-Schmidt Orthogonalization process.

The YFUNX program is designed to graph and analyze functions of the form Y=F(X). YFUNX can perform integration (numerically and graphically) by several different ways: lower, midpoint, and upper Riemann sums; Trapezoid and Simpson's rule; Gaussian quadrature and Romburg. This program will also calculate (numerically and graphically) arc length, extrema, volumes (by both disks and cylinders) and the user can apply Newton's Method to find the zeroes.

The GALTON program provides motivation and experimentation with the Galton box in the study of binomial probability distributions. The user can modifiy the probabilities and interchange between coins and ping pong balls to help calculate probabilities. Statistics about each run are provided.

The XPRES program has extended precision arithmetic on integers. This program will calculate, using up to 20,000 digits of accuracy, sums, products, quotients, powers, factorials, combinations, and permutations. The interface is in the format of a calculator with stacks, memory, etc.

Tutorials are provided for each of the programs.

Each of these programs are available separately on the Mathematics Archives; in addition many of the other programs mentioned in the readme files are also available.

Download jkmath14.zip [489 KB].

Look at the readme file from the program.