Indiana University

Qualifying Examination - three fields of mathematics - Each exam is a written one of three hours' duration. Associated with each examination are certain 500-level courses. The level of sophistication of the examinations is the same as these courses.

• Pure Mathematics

  The student must take examinations in subjects from at least two of the following groups:

  1. Algebra, logic
  2. Real analysis, complex analysis, probability, statistics, applied mathematics, numerical analysis
  3. Topology, differential geometry
• Applied Mathematics

  A student must take the examinations in applied mathematics, analysis (real or complex, but not both), and any other subject from the above list.

• Statistics

  A student opting for statistics must take the qualifying examinations in probability, statistics, and real analysis.