Qualifying and Breadth Requirements

• Algebra (Math 653/654)
• Complex Analysis (Math 617/618)
• Geometry/Topology (Math 622/636)
• Numerical/Applied Analysis (Math 610/641)
• Real Analysis (Math 607/608)

• The Qualifying Exams are designed to assess students' competence in basic mathematical skills and knowledge in the corresponding areas, at the level of the core courses displayed in the table below.
• The Breadth Requirement is designed to ensure that students acquire a broad education and a solid background in mathematics, thus requiring that they demonstrate basic knowledge in the various areas displayed in the table below.

Core Courses:

* Qualifying Exam Requirement:

• Students must pass at least 1 qualifying exam by the end of 3rd semester of enrollment (not counting Summers) and 2 qualifying exams by the end of the second year of enrollment.
• These two qualifying exams must come from different sets in the above table.

* Breadth Requirement:

• Students must take at least 4 regular courses (no seminars) at a level greater or equal to the core courses and obtain a B or higher in each course.

• In each of the 4 sets of subjects displayed in the table above, the student must either take a corresponding course or pass a qualifying exam. (See the list below for courses that can be used to fulfill the breadth requirements.)
  

• A student is expected to have fulfilled these requirements by the end of the fourth year of enrollment.

* Courses for Breadth Requirement: