Alternative packages

These notes use a particular selection of packages. This selection could have been different. For example:

• The symbolic math is provided by SymPy. Symbolics (along with SymbolicUtils and ModelingToolkit) provides an alternative.

• The finding of zeros of scalar-valued, univariate functions is done with Roots. The NonlinearSolve package provides an alternative for univariate and multi-variate functions.

• The finding of minima and maxima was done mirroring the framework of a typical calculus class; the Optimization provides an alternative.

• The computation of numeric approximations for definite integrals is computed with the QuadGK and HCubature packages. The Integrals package provides a unified interface for numeric to these two packages, among others.

• Plotting was done using the popular Plots package. The Makie package provides a very powerful alternative. Whereas the PlotlyLight package provides a light-weight alternative using an open-source JavaScript library.