A fast-talking professor is one problem students frequently encounter. While this does make taking all of the information in more difficult, it is not impossible. There are a few things you can do to make getting all of the important information a little easier. Do more critical preparation before coming to class. Read the assigned material, review previous class notes, try to get a basic understanding of the material before going to class.
Share notes with a classmate or form a study group.
Often different people will record different ideas from the lecture. Putting multiple peoples' notes together can provide a more complete picture. Leave space in your notes so you can go back and add information later. This way you can move on to the next information and figure out what you missed after class. If you are lost or confused about specific information, talk with your professor after class, during their office hours, or make an appointment.