Most embedded compilers do indeed have an implementation of at least a subset of the standard C libraries, including functions like itoa and atoi. Depending on the compiler and the type of microcontroller that you are using, you might not have to rewrite any of the functions.
Seeing that this is homework, however, that might be the point.
If you give more details on the MCU and compiler that you are using, as well as a specific problem that you are having, then I could edit my answer to make it more relevant to your needs.
General Pointers
Writing embedded code deals much more with the microcontroller's architecture than with library functions. You probably won't be using much in the way of printf or cout, but will be doing a lot of bit shifting and writing to registers. So brush up up your bitwise operators. That said, the most important thing you can do when learning to write embedded software is to master the architecture. I cannot stress this enough. You will spend a lot of time with your data sheet, so get a jump on your class and start reading the data sheet for your microcontroller.
Also, if this is your first embedded class, you shouldn't worry about strings, because you probably won't be using them at all. Most of your work will probably be centered around writing code to interface with hardware.