Fortran, which stands for FORmula TRANslator, is the oldest high level programming language and remains, albeit with significant improvements, one of the main languages used by physicists. Most computational physics is done using Fortran and this is the language typically used in SMU’s Computational Methods for Physicists class. This introduction will show you how to use various useful features of the language in its modern form. It will do this by defining a problem which we wish a program to solve and then showing how to write such a program.