Comprehensive Examinations

  1. Master’s degree program: Algebra I (MTH 501), Real Analysis I (MTH 502) and Topology I (MTH 503) or Geometry I (MTH 514) - 3 courses in total. Students passing a course with A or A+ can take an oral exam in the corresponding subject instead of a written exam.
  2. Ph. D. degree program : All students must pass 3 courses among Probability I (MTH 505), Applied Mathematics I (MTH 506), Complex Analysis (MTH 507), Algebra II (MTH 601), Real Analysis II (MTH 603), Topology I (MTH 503) or Topology II (MTH 605), and Geometry I (MTH 514) or Geometry II (MTH 621). Students passing a course with A or A+ can take an oral exam in the corresponding subject instead of a written exam.
  3. Students in the integrated Master & Ph. D. degree program should pass both comprehensive examinations mentioned above. Students passing a course with A or A+ can take an oral exam in the corresponding subject instead of a written exam.