This course introduces beginning students to the basics of Fortran90/95 programming. Out of necessity, it does not cover all aspects of the language, but enough so that students will be able to write useful codes after completion. The course will be of particular value to those STEM students who would like to learn a language which has stood the test of time, and is widely used in the area of scientific computing. Also useful for those who need to work with legacy Fortran code but have no Fortran background. Previous programming experience would be helpful but is not absolutely necessary. The course assumes some basic ability to use a command-line interface. I will also provide a short introduction to the use of DISLIN, a graphics/widget plotting package that you can implement in your Fortran codes.All Fortran codes used as examples are downloadable, as are the course notes.