A Professor is someone that has been awarded the Black Belt for putting in his years in the sport as well as retaining the knowledge and skills required to not only teach others the Jiu Jitsu sport but perform at the highest skill level in it. A Coach is someone that is a Blue Belt or higher that is able to teach others the skills and techniques shown each class by the Professor running the class. Both show the skills that they are able to teach others with patience and positivity.