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Packages for Calculus II

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Computing roots by the bisection method
Not the fastest root finding method, but the safest.

Heat equation in one dimension
Solve a discrete form of the heat equation in one dimension. Another iteration of maps example: if u(t) is the temperature state at time t (a vector), then u(t+1) = f(u(t)) gives the temperature at time t+1.

Iteration of mappings
A package for studying the sequences a, f(a), f(f(a)), .... generated by repeatedly (iteratively) applying a function to an initial value. see also

Temperature at equilibrium
An example of how to find the temperature of a thin, insulated, square plate at thermal equilibrium given the temperature along the edge of the plate. Modify the grid size and boundary conditions to solve your problem. see also