7.10 Find Out More

We have tried to touch on all the basic Mathematica functions that can be used in typical calculus problems. But, of course, there are still a lot of Mathematica functions we have not mentioned. The following guides and tutorials are a good place to begin your exploration of the Help Files. As usual, these will provide more leads that can take you deeper into the documentation.

• guide/Calculus

• tutorial/ConstrainedOptimizationOverview

• tutorial/MinimizationAndMaximization

• tutorial/SumsAndProducts

• tutorial/SummationOfSeries

Constrained optimization is a huge area of mathematics that we have barely touched upon. The tutorial mentioned above, ConstrainedOptimizationOverview, is quite comprehensive and will lead you in quite a few directions, including the important area of Linear Programming.

While we mentioned Taylor polynomials and the useful Series function, we did not really discuss infinite sums. Mathematica has a number of functions that can help you investigate these to determine if they are convergent or not, and if so, what they add up to. The last two tutorials mentioned above are a good place to start.