CoCoA TUTORIAL ============== Anna Bigatti CoCoA is a freely available system for computing with multivariate polynomials and on their ideals and modules. One of CoCoA's most important features is its high-level programming language which has been designed to be natural and intuitive. Aside from the normal development, a number of more specific plans are afoot to improve and extend CoCoA. The new mathematical core is already freely available as a GPL software library written in C++, CoCoALib, facilitating integration into other systems. In the course we will see how to use the CoCoA System (version 4), a preview of CoCoA 5, and some C++ examples of CoCoALib.