Here are some programs that can be useful. The first one calculates the solution of an arbitrary equation. It can use three methods to do this: The bisection method, Newton's method or a hybrid method.
This is a nice example of using pointers to functions (and using a function as an argument) as well.

The second one calculates the integral (or primitive) of a function. The functions to do this are the extended trapezium rule, the extended middle-point rule and Romberg extrapolation in combination with one of the two.

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