UMass Lowell WebMathematica Scripts
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|Kenneth M. Levasseur, Department of Mathematical Sciences, University of Massachusetts Lowell|
|Download Mathematica scripts. Abstract Algebra: generate Cayley tables of EAAM groups, Zn, and the ring Zn; connect the dots to visualize finite cyclic groups; polynomial extensions; and a game on finding a morphism between two groups. Modeling: exponential growth model; logistic model and the spread of epidemics; and linear least squares approximation. Probability and Statistics: calculations with the normal distribution; confidence intervals of the chi-square distribution; simulation of rolling n-sided dice; and finite state Markov chains. Calculus and Precalculus: representations of a function; derivatives and their approximation; implicit differentiation; Taylor polynomials; Riemann integration; and Newton's method. Differential Equations: first order initial value problems; second order initial and boundary value problems. Fun with Numbers: numerical "flowers"; visible structures in number theory; the phi number system; a Fibonacci number system; the balanced ternary number system; "mix and match"; simple continued fractions; greatest common divisors - the extended euclidean algorithm. Also, scripts for truth tables, one dimensional cellular automata, and UML/HTML experiments.|
|Levels:||High School (9-12), College|
|Math Topics:||Modern Algebra, Exponents/Roots, Logarithms, Number Sense/About Numbers, Calculus (Single Variable), Ordinary Differential Equations, Discrete Math, Cellular Automata, Probability/Statistics|
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