The TI-83+ is a calculator made by Texas Instruments.
There is much software that has been released for the TI-83+ that expand it's capibilities and make it more like the infamous TI-89. Three of the more notable ones are as follows:
Symbolic, by Detached Solutions;
Gives access to the other trigonometric functions: cosecant, secant, cotangent, their inverses, their hyperbolic versions, and the inverse hyperbolic versions; finding the derivitive of a function; finding the length of an arc from one point to another on a function; a simplification tool much like the TI-89's; and a few other useful tools.
Omnicalc, by Detached Solutions;
Allows for different base calculations, prime factorizations, modular artithmatic, square-rootsimplifacation, a really nice parentheses assistant, a menu for entries instead of repeated 2nd-enter pressing, lowercase letters, a clipboard, a custom menu and much more.
PrettyPrint, by Sabastian Theiss
Makes your TI-83+ calculator more like a TI-89 in the way you can display your calculations. It displays whatever you type in like a TI-89 would, which is with much more clarity than you would usually have with the TI-83+'s basic displaying, allowing for fractions, square-roots and many other things to show up much better.