Preliminary Exams Preliminary Exams Preliminary exams are offered in August and January of each year. Preliminary Exams and Syllabi Algebra Analysis Geometry/Topology Algebra Analysis Geometry/Topology Graduate Program Graduate Resources Preliminary Exams Career and Professional Development Prospective Students Â鶹Ãâ·Ñ°æÏÂÔØBoulder Mathematics Theses Rules and Requirements