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UMass Lowell WebMathematica Scripts
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| http://faculty.uml.edu/klevasseur/webmathematica/ | |
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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. | |
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| Levels: | High School (9-12), College |
| Languages: | English |
| Resource Types: | Mathematica |
| 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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